9*l**4 + 0*l**3 - 1/30*l**5 + 0 + 2*l. Factor i(g).
-2*g**2*(g - 2)/3
Let p(r) be the second derivative of -1/100*r**5 - 1/10*r**2 + 1/30*r**3 - 4*r + 0 + 1/60*r**4. Factor p(j).
-(j - 1)**2*(j + 1)/5
Suppose q - 7 = -0*q. Let w be q/2 - 17/34. Factor 2/3*d**w + 0 + 0*d**2 - 2/3*d.
2*d*(d - 1)*(d + 1)/3
Suppose -7*d = -3*d - 16. Suppose -4*r + 3*p - p - 2 = 0, 0 = -d*r + 4*p - 12. Solve -1/2 - 1/2*x**4 - 3*x**2 - r*x - 2*x**3 = 0.
-1
Let x be (-380)/(-300) - ((-9)/(-15) - 0). Factor -2/3*o + x*o**3 + 2/3*o**2 - 2/3.
2*(o - 1)*(o + 1)**2/3
Let g be (-2)/28*(-10 - (7 + 3)). Suppose -20/7*s**3 + 20/7*s**2 + 10/7*s**4 + 2/7 - g*s - 2/7*s**5 = 0. What is s?
1
Let u(r) = -r + 2. Let l be u(0). Suppose a = 3*a - 8. What is w in -4*w**5 + 6*w**4 + 6*w**3 + 2*w + a*w**4 - 4*w**5 - 10*w**l = 0?
-1, 0, 1/4, 1
Let d be ((-3)/9)/(1/(-12)). Let i(m) be the first derivative of 7/5*m**3 - 2 + 6/5*m**d + 0*m + 3/5*m**2 + 9/25*m**5. Factor i(v).
3*v*(v + 1)**2*(3*v + 2)/5
Suppose -5*o + r = -6, -2*r + 0*r = o - 10. Factor -2/3*i - 1/3*i**o - 1/3.
-(i + 1)**2/3
Let s be -1 + 30*3/6. Let f be 4/14 + 3/s. Suppose f*v - 1/2 + 1/2*v**2 - 1/2*v**3 = 0. Calculate v.
-1, 1
Let i(r) be the first derivative of 5*r**6/2 + 8*r**5 + 15*r**4/4 - 10*r**3/3 - 11. Determine u so that i(u) = 0.
-2, -1, 0, 1/3
Solve 8/9*m**4 - 2/9*m**5 - 4/3*m**3 + 8/9*m**2 - 2/9*m + 0 = 0 for m.
0, 1
Let i(p) = 7*p**4 - 55*p**3 - 117*p**2 + 35*p + 154. Let o(v) = 3*v**4 - 18*v**3 - 39*v**2 + 12*v + 51. Let s(l) = -3*i(l) + 8*o(l). Factor s(y).
3*(y - 1)*(y + 2)*(y + 3)**2
Let g = 2 - -1. Let s be 11/3 + 1/g. Solve -p**s - 2*p**4 + p**2 + p**4 + 3*p**2 - 2 = 0 for p.
-1, 1
Let u(m) = -8*m + m**3 - 8*m - 6 - 5*m**3 - 22*m**2. Let q(d) = 12*d**3 + 65*d**2 + 48*d + 17. Let k(i) = -6*q(i) - 17*u(i). Determine j, given that k(j) = 0.
-2, 0
Let s(h) be the third derivative of -h**5/150 + h**4/30 + 6*h**2. Factor s(a).
-2*a*(a - 2)/5
Let n(k) be the third derivative of k**8/9240 - k**6/990 + k**4/132 + 2*k**3/3 + 3*k**2. Let s(x) be the first derivative of n(x). Factor s(p).
2*(p - 1)**2*(p + 1)**2/11
Let r = -11291/3 + 3707. Let t = r - -58. Find g, given that t + 4/3*g - 35/3*g**2 = 0.
-2/7, 2/5
Suppose 4*o - 1 = 7. Factor 1 - 5*l - 7*l**3 + 1 - o*l**4 - 6*l**2 + 6*l.
-(l + 1)**2*(l + 2)*(2*l - 1)
Factor -2/7*n**3 + 4/7*n - 2/7*n**2 + 0.
-2*n*(n - 1)*(n + 2)/7
Let g(m) be the second derivative of m**5/210 + m**4/63 + m**3/63 + 5*m. Factor g(y).
2*y*(y + 1)**2/21
Suppose -3*p + 15 = 3*o, o + 4*p - 11 = -0*o. Let l(v) be the first derivative of 1 + 2/3*v**o + 0*v**2 + 0*v. Factor l(w).
2*w**2
Let d(n) = -n**2 + 6*n. Suppose 2*z + 2*z + 20 = 4*g, 5*g - 25 = 2*z. Let s be d(g). Factor 0*c + 3/2*c**3 - c**2 - 1/2*c**s + 0 + 0*c**4.
-c**2*(c - 1)**2*(c + 2)/2
Let s(r) = 5*r**2 + 4*r + 4. Let f(u) = u**2 + u + 1. Let x(m) = 4*f(m) - s(m). Solve x(d) = 0 for d.
0
Solve 1/4*f**3 + 1/4*f**4 + 0 - 1/4*f**2 - 1/4*f = 0.
-1, 0, 1
Suppose -1 = -2*f + 5. Solve 0*v**2 + 0*v**3 + v - 2*v**2 + v**2 + v**4 - v**f = 0 for v.
-1, 0, 1
Suppose 2*x + 3*x - 20 = 0. Solve -n**5 - 3*n**5 - 10*n**2 - 10*n**3 - n**4 + 3*n**5 - 5*n - 1 - 4*n**x = 0.
-1
Suppose s - 2*s = 0. Suppose -5*a = -t - 2*t + 5, 2*a + 4*t - 24 = s. Solve -22/5*r - 18/5*r**a - 4/5 = 0 for r.
-1, -2/9
Let 24/7*q**2 + 0 - 26/7*q**3 + 12/7*q**4 - 8/7*q - 2/7*q**5 = 0. What is q?
0, 1, 2
Let m(p) be the third derivative of -p**6/240 - p**5/30 - 5*p**4/48 - p**3/6 - 6*p**2. Suppose m(t) = 0. Calculate t.
-2, -1
Suppose 3 = -2*v + 3*q, -7*q + 5 = 2*v - 2*q. Factor 0 + v*f - 2/3*f**3 + 2/3*f**5 - 2/3*f**4 + 2/3*f**2.
2*f**2*(f - 1)**2*(f + 1)/3
Let u = -1201 + 1203. Let b = 618/13 + -2674/65. Factor 0 - b*k**4 + 16/5*k**3 + 2/5*k + 14/5*k**u.
-2*k*(k - 1)*(4*k + 1)**2/5
Let l = 37/4 + 11. Factor -l*d**3 + 0 - 69/4*d**4 - 39/4*d**2 - 21/4*d**5 - 3/2*d.
-3*d*(d + 1)**3*(7*d + 2)/4
Let w(a) = -a**3 + 5*a**2 + 5*a - 22. Let b be w(5). Factor -2*z**2 - 1/2 - 3/4*z**b - 7/4*z.
-(z + 1)**2*(3*z + 2)/4
Let a be (-3)/(-8) + (-6)/16. Let k(n) be the third derivative of 0 + a*n**3 - n**2 + 0*n - 1/60*n**4 + 1/525*n**7 + 1/300*n**6 - 1/150*n**5. Factor k(h).
2*h*(h - 1)*(h + 1)**2/5
Let s(c) be the third derivative of -c**8/3360 + c**7/420 - c**6/120 + c**5/60 + c**4/12 + 2*c**2. Let q(d) be the second derivative of s(d). Solve q(i) = 0.
1
Let l be ((-3)/2 + -1)*-2. Find z such that z - l*z**3 - 12*z**2 - 9*z - z**4 - z**3 = 0.
-2, 0
Suppose 4*m = m, -2*m = 2*z + 20. Let f(t) = -t**2 - 11*t - 7. Let o be f(z). Solve 1/2*w - 1/2*w**4 + 0 + 3/2*w**o - 3/2*w**2 = 0.
0, 1
Let s(c) = -c**2 - c - 2. Let h(q) = 3*q**2 - 2*q + 4. Let k(t) = 2*h(t) + 4*s(t). Factor k(w).
2*w*(w - 4)
Let f = -635 + 5717/9. Let 2/9*o**3 + 0*o**2 + 0*o + f*o**5 + 0 - 4/9*o**4 = 0. Calculate o.
0, 1
Let f(t) be the second derivative of t**7/1680 + t**6/720 + t**3/2 + 3*t. Let a(b) be the second derivative of f(b). Solve a(u) = 0.
-1, 0
Let l(o) = -4*o**3 - o**2 - 2*o - 3. Let a be l(-2). Let j = -57/2 + a. What is r in 1/2*r**2 + 0 - j*r = 0?
0, 1
Suppose 2*i - 4*y = -3*i + 22, -y - 5 = -i. Factor 5*k**2 - 2*k**i - 2*k**2 - 1.
(k - 1)*(k + 1)
Suppose 5*k = -3*o + 10, k + 2*o + 0 - 2 = 0. Factor -14*t**2 - 16*t**2 + k*t + 28*t**2.
-2*t*(t - 1)
Factor -4*i**2 + 3/2*i + 0 + 0*i**4 - 1/2*i**5 + 3*i**3.
-i*(i - 1)**3*(i + 3)/2
Let b(l) be the second derivative of 4*l - 1/189*l**7 - 2/135*l**6 + 1/27*l**4 + 0*l**5 + 0*l**2 + 1/27*l**3 + 0. Solve b(n) = 0.
-1, 0, 1
Factor 2/3*k**2 + 5/3*k**3 + 1/2*k**4 - 4/3*k + 0.
k*(k + 2)**2*(3*k - 2)/6
Let p(j) = -j**3 - 3*j**2 + 4*j - 5. Let r be p(-4). Let q(c) = -c**2 - 6*c - 1. Let h be q(r). Solve -2*m**5 + 5*m**3 - m**3 - 6*m**3 - h*m**4 = 0.
-1, 0
Let -30*b**3 + 227*b - 8*b**4 - 247*b + 3*b**4 - 45*b**2 = 0. What is b?
-4, -1, 0
Let k(v) be the third derivative of 3*v**8/392 - 8*v**7/245 + 11*v**6/210 - 4*v**5/105 + v**4/84 + 3*v**2. Factor k(n).
2*n*(n - 1)**2*(3*n - 1)**2/7
Let a(c) = c**3 + c**2 + c + 1. Let p(d) = 6*d**3 + 10*d**2 + 4*d + 8. Let i(u) = -21*a(u) + 3*p(u). Factor i(t).
-3*(t - 1)**3
Let x be 2 - -1 - (3 + -3). Determine p, given that 1 + 10*p - 26*p**2 + 22*p**4 - p**x + 3 + p**3 - 2*p**3 - 8*p**5 = 0.
-1, -1/4, 1, 2
Factor -1/3*i**2 + 0 - 2/3*i.
-i*(i + 2)/3
Let u(r) be the second derivative of -r**4/12 - r**3 - 4*r**2 - 16*r. Factor u(a).
-(a + 2)*(a + 4)
Let v = 4/4463 - -422593/1553124. Let p = -2/87 + v. Determine n so that -p*n**3 - 5/4*n**2 - 2*n - 1 = 0.
-2, -1
Let n(z) = -z**3 + 17*z**2 + 2. Let w be n(17). Find p, given that -p - 1/3*p**w - 2/3 = 0.
-2, -1
Suppose -3*x - 21 = -4*q, -3*x = -2*q + 2*x + 21. Let 0 - 2/11*i**2 - 2/11*i**q + 2/11*i**4 + 2/11*i = 0. What is i?
-1, 0, 1
Let b be (2*2/12)/1. Let q = 3/50 - -41/150. Find x, given that -q + b*x**2 + 0*x = 0.
-1, 1
Let b be (0 - 0)/(-9 - -7). Let j(o) be the third derivative of 1/270*o**5 + 4/27*o**3 + b*o + o**2 + 1/27*o**4 + 0. Factor j(i).
2*(i + 2)**2/9
Let b(h) be the first derivative of h**4/2 + 2*h**3/3 + 2*h**2/9 + 7. Factor b(z).
2*z*(3*z + 1)*(3*z + 2)/9
Let v be 5/4*12/150. Let d(b) be the second derivative of v*b**5 + 0 + 0*b**4 - 1/3*b**3 - 1/2*b**2 - b + 1/30*b**6. Factor d(a).
(a - 1)*(a + 1)**3
Let o(t) be the third derivative of -t**5/210 - 2*t**4/21 - 16*t**3/21 + 4*t**2. Solve o(r) = 0.
-4
Let k(w) be the third derivative of -w**8/168 + 3*w**7/140 - w**6/40 + w**5/120 + 7*w**2. Let k(s) = 0. What is s?
0, 1/4, 1
Let v(r) be the first derivative of 3/13*r**2 + 7 + 10/39*r**3 - 4/13*r. Factor v(z).
2*(z + 1)*(5*z - 2)/13
Solve -4/5 - 11/5*u**2 + 1/5*u**3 + 3/5*u**4 + 12/5*u - 1/5*u**5 = 0 for u.
-2, 1, 2
Let q(v) be the second derivative of 7*v**6/45 + 4*v**5/45 - 53*v**4/54 + 28*v**3/27 - 4*v**2/9 + 34*v. Find y, given that q(y) = 0.
-2, 2/7, 1/3, 1
Let t(l) be the first derivative of 2*l**3/3 + l**2 - 4*l + 23. Determine g, given that t(g) = 0.
-2, 1
Let z be (-2)/6 - (13/(-2) - -6). Let a(y) be the second derivative of -z*y**3 + 3*y + 0 - 1/12*y**4 + 1/20*y**5 + 0*y**2 + 1/30*y**6. Factor a(s).
s*(s - 1)*(s + 1)**2
Find a such that 4/5*a + 0 + 2/5*a**3 + 6/5*a**2 = 0.
-2, -1, 0
Factor 1/3*g**2 - 1/6*g - 1/6*g**3 + 0.
-g*(g - 1)**2/6
Suppose x - 4*k = -2*x - 47, 5*x - 3*k = -60. Let u be (3/x)/((-1)/6). Factor -1/4 - 3/4*m - 1/4*m**3 - 3/4*m**u.
-(m + 1)**3/4
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