). Factor y(x).
3*x*(x + 1)**3
Suppose 1 + 5 = -3*z. Let g be ((-1)/z*0)/3. Factor 0 + g*r + 2*r - 2*r**2 + 4.
-2*(r - 2)*(r + 1)
Suppose 2*j - 8 = -2*l, -3*j + 12 = l + 4. Factor -4/7*y - 2/7*y**j - 2/7.
-2*(y + 1)**2/7
Find b, given that -55 - 2*b**4 - 25 - 40*b**2 - 28*b**2 + 6*b**4 + 144*b = 0.
-5, 1, 2
Let o = -106 + 215/2. Find y, given that 3/2 - 3*y**2 + o*y**4 + 0*y + 0*y**3 = 0.
-1, 1
Factor 0*w**4 + 0*w**2 - 2/5*w**5 + 0*w + 2/5*w**3 + 0.
-2*w**3*(w - 1)*(w + 1)/5
Let w(b) be the third derivative of b**5/20 - b**4/2 + 2*b**3 - 18*b**2. Solve w(c) = 0 for c.
2
Let a(i) = -i - 7. Let q be a(-10). Let m(r) be the third derivative of -1/60*r**5 + 0*r**q + 0*r + 0 - 1/72*r**4 + 2*r**2. Factor m(x).
-x*(3*x + 1)/3
Let j be (1 - 5) + (-130)/(-30). Let h(m) be the second derivative of -m - 1/12*m**4 - j*m**3 + 0 + 0*m**2. Factor h(d).
-d*(d + 2)
Let w(s) be the first derivative of -s**3 - 9*s**2 - 27*s + 7. Factor w(f).
-3*(f + 3)**2
Let a(u) be the second derivative of u**7/420 + u**6/180 - u**5/60 - u**4/12 + 5*u**3/6 - 4*u. Let l(y) be the second derivative of a(y). Factor l(f).
2*(f - 1)*(f + 1)**2
Let v = -4/13 + 80/91. Let r be 3/(-7) - 289/(-119). Solve v*a**r - 2/7*a**3 + 2/7*a - 4/7 = 0 for a.
-1, 1, 2
Suppose 0 = -2*o + 7*o. Find y such that 2*y**2 + o*y - 4*y - 4*y**2 + 2*y = 0.
-1, 0
Let c(o) be the third derivative of -1/80*o**5 + 0*o + 1/840*o**7 + 1/12*o**3 - 1/480*o**6 + 0 - 6*o**2 + 1/96*o**4. Factor c(j).
(j - 2)*(j - 1)*(j + 1)**2/4
Let o(p) = p**3 - p. Let r(t) = 8*t**3 - 2*t**2 - 2*t + 5. Let c(k) = -2*o(k) + r(k). Let i(z) be the first derivative of c(z). Let i(b) = 0. What is b?
0, 2/9
Let s = -20 - -20. Factor z**3 + 2*z**3 + s*z**3 + 0*z**2 + 3*z**2.
3*z**2*(z + 1)
What is q in -6/13 - 2/13*q**2 - 8/13*q = 0?
-3, -1
Let m(p) be the third derivative of p**8/20160 - p**7/5040 + p**5/60 + 2*p**2. Let d(l) be the third derivative of m(l). Factor d(c).
c*(c - 1)
Let n(z) be the first derivative of -2/33*z**3 + 0*z**2 + 0*z - 1. Find u, given that n(u) = 0.
0
Let z(g) be the first derivative of g + 1/12*g**3 - 1 - 1/8*g**2 - 1/48*g**4. Let c(h) be the first derivative of z(h). Determine x, given that c(x) = 0.
1
Let l(x) = -2*x**2 + 13*x - 5. Let k(j) = -j**2 + 7*j - 2. Let f(d) = -5*k(d) + 2*l(d). Let f(b) = 0. Calculate b.
0, 9
Let a = -12 + 6. Let u be 4/4 - (-2)/a. Factor 2/3*j + 0 - 2/3*j**2 + u*j**4 - 2/3*j**3.
2*j*(j - 1)**2*(j + 1)/3
Let g(q) be the third derivative of q**5/210 + 2*q**4/21 + q**3/3 - 73*q**2. Suppose g(a) = 0. Calculate a.
-7, -1
Let g be 2 + 43 - (5 - 5). Determine d so that -d + d + 21*d**4 + 51*d**2 + 27*d**3 - g*d**2 = 0.
-1, -2/7, 0
Let c(k) be the third derivative of -2/105*k**7 + 0 + 1/60*k**6 + 0*k**3 + 0*k + 0*k**4 + 3*k**2 + 0*k**5 + 1/168*k**8. Factor c(x).
2*x**3*(x - 1)**2
Let b(a) be the first derivative of -1/9*a**3 - 1/90*a**5 + 0*a + a**2 + 1 + 1/18*a**4. Let i(u) be the second derivative of b(u). Let i(p) = 0. What is p?
1
Let z be (-2)/(-4)*(-9)/6. Let n = 25/12 + z. Factor 2*m - 2/3*m**2 - n.
-2*(m - 2)*(m - 1)/3
Suppose 0 = 3*k + 9 + 39. Let b be (-68)/k + (-2)/8. Factor 0 + 0*j**2 - 2/7*j**3 - 2/7*j**b + 0*j.
-2*j**3*(j + 1)/7
Let u(w) = -4*w - 3. Let r be u(-6). Let d be 99/r - 2/(-7). Factor 0*z**2 - 1/4*z + 1/2*z**3 - 1/4*z**d + 0 + 0*z**4.
-z*(z - 1)**2*(z + 1)**2/4
Let i(x) be the third derivative of x**8/546 - x**7/91 + 4*x**6/195 - x**5/130 - x**4/78 + 8*x**2. Determine k, given that i(k) = 0.
-1/4, 0, 1, 2
Let m = 111 + -108. Let c(i) be the third derivative of 1/300*i**6 + 3*i**2 + 0 - 2/15*i**m - 2/75*i**5 + 0*i + 1/12*i**4. Determine x so that c(x) = 0.
1, 2
Let h(t) = 23*t**3 - 73*t**2 + 90*t + 13. Let k(u) = 11*u**3 - 36*u**2 + 45*u + 6. Let g(n) = 6*h(n) - 13*k(n). Factor g(q).
-5*q*(q - 3)**2
Let b(p) be the third derivative of 0*p + 1/420*p**7 + 0*p**4 + 0*p**5 + 1/1344*p**8 + 1/480*p**6 + 0*p**3 - p**2 + 0. Factor b(s).
s**3*(s + 1)**2/4
Solve 7/3*y + 2*y**2 - 7/3*y**3 - 2/3 - 4/3*y**4 = 0.
-2, -1, 1/4, 1
Let k be 1/(-5)*(9 - (5 - -5)). Suppose -3*r + 1 = -5. What is l in -2/5*l**r - 1/5*l + 0 - k*l**3 = 0?
-1, 0
Let a(q) be the second derivative of -q**4/4 + q**3 - 3*q**2/2 - 3*q. Find y, given that a(y) = 0.
1
Let l(g) = g**2 - g - 4. Let t be l(3). Suppose -a - 2 = -0*a - t*o, 5*o - 5 = 5*a. Solve a*y**3 - 1/4*y**5 + 0*y**2 + 0*y + 1/4*y**4 + 0 = 0 for y.
0, 1
Suppose -5 = 5*u + 3*t, t = 5*u - 10 - 5. Suppose -p + u + 0 = 0. Find l, given that 0*l + 0*l**p + 2/9*l**3 + 0 = 0.
0
Let w = 6 + -3. Find n, given that 3*n**2 - 3*n**2 + 2*n**3 - n**2 + w*n**2 = 0.
-1, 0
Let c(n) be the second derivative of -n**5/5 + 2*n**4 + 2*n**3/3 - 12*n**2 - 64*n. Factor c(a).
-4*(a - 6)*(a - 1)*(a + 1)
Let f(k) be the second derivative of -k**8/84 - 4*k**7/105 + 2*k**5/15 + k**4/6 - 2*k**2 + 7*k. Let p(r) be the first derivative of f(r). Factor p(l).
-4*l*(l - 1)*(l + 1)**3
Factor -b - b + b**4 + 0*b - 2*b + 8*b**2 - 5*b**3.
b*(b - 2)**2*(b - 1)
Factor -13*f**4 + 22*f**4 + 5*f + 5*f**2 - 14*f**4 - 5*f**3.
-5*f*(f - 1)*(f + 1)**2
Factor 2/3*z**2 + 8/3 + 8/3*z.
2*(z + 2)**2/3
Let g(s) be the first derivative of s**8/112 + 2*s**7/35 + s**6/8 + s**5/10 + s**2 + 3. Let f(t) be the second derivative of g(t). Factor f(i).
3*i**2*(i + 1)**2*(i + 2)
Let s = 13 + -8. Let j be s*1 + 10 + -13. Factor -48/5*o**4 - 99/5*o**j - 24*o**3 - 3/5 - 6*o.
-3*(o + 1)**2*(4*o + 1)**2/5
Let a(j) be the second derivative of -2*j**5/5 - 5*j**4/6 - j**3/3 - 5*j. Find m such that a(m) = 0.
-1, -1/4, 0
Let x = 8 + 0. Suppose 0 = 5*k - 2 - x. Factor h**k - 5 + 5 + h**3.
h**2*(h + 1)
Let s(c) be the second derivative of -c**6/210 - c**5/210 + c**2/2 - 3*c. Let j(k) be the first derivative of s(k). Let j(q) = 0. What is q?
-1/2, 0
Let v = 118/37 + -3989/1332. Let a(z) be the third derivative of 1/60*z**6 + 0*z + 2*z**2 + 0 + v*z**4 + 2/9*z**3 + 4/45*z**5. Factor a(u).
2*(u + 1)**2*(3*u + 2)/3
Suppose 0 = 4*b + 2 + 6. Let n be (b - 14)*(-2)/6. Let 32/3*x - 8*x**2 - n - 1/3*x**4 + 8/3*x**3 = 0. What is x?
2
Let y(q) = -3*q**4 + 15*q**3 - 6*q**2 + 3*q + 3. Let g(s) = s**3 + s**2 + s + 1. Let l(o) = -3*g(o) + y(o). Determine m so that l(m) = 0.
0, 1, 3
Let m(g) be the second derivative of 0 - 1/20*g**4 + 1/5*g**3 + 0*g**2 - 3*g. Find f such that m(f) = 0.
0, 2
Let t(i) be the second derivative of i**7/840 - i**6/720 - i**5/60 + i**4/12 - 2*i. Let u(h) be the third derivative of t(h). Factor u(k).
(k - 1)*(3*k + 2)
Factor 0 - c**2 - 1/2*c**3 + 0*c + 1/2*c**4.
c**2*(c - 2)*(c + 1)/2
Let z(r) = 16*r - 60. Let i(y) = 3*y - 12. Let x(s) = -11*i(s) + 2*z(s). Let q be x(9). Solve -1 + 0*g + 3/4*g**2 - 1/4*g**q = 0 for g.
-1, 2
Factor 121/6 - 1/6*p**3 - 33/2*p - 7/2*p**2.
-(p - 1)*(p + 11)**2/6
Let m be (-4)/(-26) + (-105)/936. Let j(c) be the second derivative of -m*c**4 - 3*c + 1/60*c**6 + 0*c**5 - 1/24*c**3 + 0*c**2 + 1/168*c**7 + 0. Factor j(f).
f*(f - 1)*(f + 1)**3/4
Factor -2*w**4 - 3*w**5 + w**4 - 9*w**3 + 0*w**5 + 10*w**4 + 3*w**2.
-3*w**2*(w - 1)**3
Let d(n) = -n**2 + 6*n + 9. Let z = 2 - -5. Let v be d(z). Let s - 2 + 2 - s**v = 0. Calculate s.
0, 1
Suppose d - 6 = -d. Factor 11*i**4 + 12*i**3 - 8*i - i**5 - 8*i - 3*i**5 - 16*i**2 - d*i**4.
-4*i*(i - 2)**2*(i + 1)**2
Let g(c) be the third derivative of -c**6/90 + 4*c**5/45 + 14*c**4/9 + 64*c**3/9 - 63*c**2. Suppose g(q) = 0. What is q?
-2, 8
Let j(q) = q**3 + q**2 + q - 1. Let g(f) = f**4 + 10*f**3 + 8*f**2 + 8*f - 9. Let x(l) = 2*g(l) - 18*j(l). Let x(i) = 0. Calculate i.
-1, 0, 1
Let k(x) be the first derivative of -x**3/3 - x**2 + 6. Factor k(u).
-u*(u + 2)
Suppose -1 = 3*l - 7. Factor -6*n**3 + 3*n**2 + n**5 - 7*n**4 - 5*n**5 - 3*n**4 - n**2 + l*n.
-2*n*(n + 1)**3*(2*n - 1)
Let s(w) be the third derivative of w**6/180 + w**5/30 + w**4/12 + w**3/6 - 4*w**2. Let m(q) be the first derivative of s(q). Solve m(o) = 0 for o.
-1
Factor 1/6 + 10/3*y**2 + 3/2*y.
(4*y + 1)*(5*y + 1)/6
Let b = 32/119 + 24592/595. Determine c so that 32/5*c**2 - 18/5*c + 102/5*c**3 - b*c**4 + 96/5*c**5 - 4/5 = 0.
-1/4, 2/3, 1
Suppose -2 - 284*j**2 + 290*j**2 + 0*j**4 + 10*j**3 + 4*j**4 - 2*j = 0. What is j?
-1, 1/2
Let i(b) = b**3 + 5*b**2 - 3*b - 25. Let q be i(-4). Factor -12/5*k**q + 0*k + 3/5*k**2 + 0 + 9/5*k**4.
3*k**2*(k - 1)*(3*k - 1)/5
Solve 0*f - 4/7*f**5 + 4/7*f**3 + 8