 2/5*r.
2*r*(r + 1)**3/5
Let o(g) be the third derivative of g**2 + 0*g - 1/60*g**5 + 0*g**4 + 0 + 1/6*g**3. Solve o(i) = 0 for i.
-1, 1
Suppose 8 = 8*r - 4*r. Suppose 0 = -3*g + g. Determine t, given that -2*t**2 + g*t**4 + 4*t + 4*t**4 - r + 6*t**3 - 10*t = 0.
-1, -1/2, 1
Let o(p) be the first derivative of 0*p**2 - 1/50*p**5 + 1/30*p**4 - p - 3 - 1/75*p**6 + 1/15*p**3. Let y(x) be the first derivative of o(x). Factor y(m).
-2*m*(m - 1)*(m + 1)**2/5
Let n be (4/6)/(8/6). Suppose 5*p - p + 5*c - 33 = 0, -9 = -2*p - c. Factor n*h + 0 - 1/2*h**p.
-h*(h - 1)/2
Let w(n) be the third derivative of n**8/1120 - n**7/315 - n**6/360 + n**5/30 - n**4/6 - 9*n**2. Let t(i) be the second derivative of w(i). Factor t(s).
2*(s - 1)**2*(3*s + 2)
Let s(c) be the first derivative of 1 + 0*c - 1/4*c**3 + 3/8*c**4 - 3/20*c**5 + 0*c**2. Factor s(q).
-3*q**2*(q - 1)**2/4
Let u(s) be the third derivative of s**7/1512 - s**6/54 + 2*s**5/9 + s**4/4 + 4*s**2. Let m(g) be the second derivative of u(g). Solve m(y) = 0.
4
Let s(v) be the third derivative of 0*v**3 + 2*v**2 + 0*v + 1/300*v**5 - 1/60*v**4 + 0. Determine q so that s(q) = 0.
0, 2
Let h(i) be the second derivative of 8*i**7/63 - 8*i**6/45 - 6*i**5/5 - 16*i**4/9 - 23*i**3/18 - i**2/2 - 41*i. Find z, given that h(z) = 0.
-1/2, 3
Let f(h) = h**3 + h**2 + 1. Let o(z) = 2*z**2 + 5*z + 8. Let w(b) = -5*f(b) + o(b). Find v such that w(v) = 0.
-1, -3/5, 1
Let t(h) = -h**2 - 17*h - 20. Let s be t(-15). Factor -s*g + 0 + g**3 - 6*g**2 - g**3 + 2*g**3 + 2*g**4 - 4.
2*(g - 2)*(g + 1)**3
Determine y so that 3*y + 17*y**2 - 3*y - 7*y**2 + 5*y**3 = 0.
-2, 0
Suppose -4*u + 7 = -1. Determine a, given that 3 - 2*a**3 + 0 + 0*a**3 - 5 - 6*a - 6*a**u = 0.
-1
Let i be (-152)/76 + (-16)/(-6). Suppose 0 = -4*b + 2*n - 0*n + 10, 5*b - 3*n = 12. Let -4/3*s**b + 0 + 4/3*s - i*s**2 + 2/3*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let x(u) = 2*u - 18. Let d be x(9). Let g(l) be the second derivative of 0 - 1/24*l**3 + d*l**2 - l + 0*l**4 + 1/80*l**5. Determine p so that g(p) = 0.
-1, 0, 1
Suppose 0 + 0*j**3 - 24/5*j**4 + 0*j**2 + 0*j + 3/5*j**5 = 0. What is j?
0, 8
Let u = 4 - 7. Let q(z) = z**5 - z**4 + z**3 - z**2 + z - 1. Let y(b) = 2*b**5 - 6*b**4 - 4*b**2 + 3*b - 3. Let n(p) = u*q(p) + y(p). Factor n(l).
-l**2*(l + 1)**3
Suppose -4*s + 2*s + 10 = -2*b, 0 = -2*s - b + 4. Factor v - 2 - 3*v**3 - s*v + 2*v**3 + 2*v**2 + 3*v**3.
2*(v - 1)*(v + 1)**2
Let h = -1/3 - -211/630. Let u(f) be the third derivative of -1/180*f**6 - f**2 + 0*f**4 + 1/180*f**5 + 0*f + h*f**7 + 0 + 0*f**3. Factor u(a).
a**2*(a - 1)**2/3
Let k(x) = 2*x**2 - 15*x. Let c(h) = 5*h**2 - 30*h. Let j(f) = -3*c(f) + 5*k(f). Determine p so that j(p) = 0.
0, 3
Suppose -7*a + 2*a = 0. Let w = 149/102 - -2/51. Factor -w*s**3 - 3/2*s**2 + a - 1/2*s - 1/2*s**4.
-s*(s + 1)**3/2
Suppose 3*d**3 - 3*d**3 - 2*d**4 - d**4 - 2*d**3 = 0. Calculate d.
-2/3, 0
Suppose 2 = -o + 22. Suppose -j - 4*j + o = 0. Suppose 9*x**3 + 20*x**2 - 3*x**5 - 8*x**2 - 5*x**j - x**4 - 12*x = 0. What is x?
-2, 0, 1
Suppose 5 = 2*i - 1. Factor w**3 - w**4 - 4*w**3 + w**i.
-w**3*(w + 2)
Let v be 3 + -2*(-18)/(-16) - 0. Solve 3/2*h**4 - v*h**3 + 0*h - 3/4*h**5 + 0 + 0*h**2 = 0 for h.
0, 1
Let t be (-8)/90*(-3)/24*3. Let r(f) be the first derivative of 1/12*f**4 + 0*f**2 + t*f**5 + 4 + 1/18*f**3 + 0*f. Find c such that r(c) = 0.
-1, 0
Let m(k) be the third derivative of -k**5/150 + k**4/60 + 6*k**2. Factor m(l).
-2*l*(l - 1)/5
Let x(m) be the first derivative of m**6/24 - m**5/20 - m**4/16 + m**3/12 - 12. Find n such that x(n) = 0.
-1, 0, 1
Suppose 14*g + 16*g = 90. Suppose 12*a - 49/2*a**g + 2 + 21/2*a**2 = 0. What is a?
-2/7, 1
Let d(t) = t - 4. Let b be d(6). Factor 0*l**3 - 3*l**3 + 15*l**b - 21*l**2 - 3*l.
-3*l*(l + 1)**2
Let l be ((-8)/(-56))/((-6)/(-24)). Determine n, given that 18/7*n**5 + 0*n**3 + 0*n + 0 + 0*n**2 - l*n**4 = 0.
0, 2/9
Let s(h) be the second derivative of -h**6/30 + h**5/10 + h**4/4 - 2*h**3/3 - 2*h**2 + 12*h. Factor s(f).
-(f - 2)**2*(f + 1)**2
Suppose j - 4 + 0 = 0. Suppose -3*t + j*t = 2*i - 6, 0 = -4*t - 8. Factor 6*m + 21*m**3 - i*m + 6*m**2 - 61*m**3.
-2*m*(4*m + 1)*(5*m - 2)
Let j(b) = -7*b**4 + b**3 - 5*b**2 - 7*b - 6. Let x(t) = -t**4 - t**2 - t - 1. Let p(g) = -j(g) + 6*x(g). Factor p(l).
l*(l - 1)**2*(l + 1)
Find x, given that -2/19*x**3 - 2/19*x - 4/19*x**2 + 0 = 0.
-1, 0
Suppose -5*o - 1 = -2*k - 6, 3*o = 2*k - 1. Let j(n) be the first derivative of n**3 + 2*n**2 + 6*n - 1. Let q(d) = -d. Let a(x) = k*q(x) - j(x). Factor a(m).
-3*(m + 1)*(m + 2)
Let p(c) be the second derivative of 7*c**6/150 + 11*c**5/25 + 47*c**4/60 + c**3/3 + 14*c. Factor p(w).
w*(w + 1)*(w + 5)*(7*w + 2)/5
Suppose -4*o + 0*o + 28 = 0. Let j = 12 - 8. Factor 4 + b**2 - j*b + b + o*b.
(b + 2)**2
Let s(v) be the second derivative of v**6/60 - v**4/8 + v**3/6 + 12*v. Factor s(y).
y*(y - 1)**2*(y + 2)/2
Let l(w) = -w**3 + 6. Let a be l(0). What is r in 162*r - a*r**3 + 15*r**4 - 18*r**3 - 162*r - 3*r**5 + 12*r**2 = 0?
0, 1, 2
Suppose 4*y = 9 - 1. Find v such that y - 5*v + 3*v + 8*v**2 + 2*v**3 + 8*v - 2*v**2 = 0.
-1
Suppose -2/3*l**2 + l**3 - l + 2/3 = 0. Calculate l.
-1, 2/3, 1
Let a = -106/3 - -36. Let o = -23 - -25. Factor a*l**3 + 8*l + 16/3 + 4*l**o.
2*(l + 2)**3/3
Factor -2/7*b**3 + 2/21*b**5 - 4/21*b - 2/21*b**4 + 10/21*b**2 + 0.
2*b*(b - 1)**3*(b + 2)/21
Suppose 6 = 3*o - 0*v + 2*v, 6 = 3*o - 3*v. Let x(y) be the first derivative of 0*y - 1/2*y**o + 1 + 1/3*y**3 + 3/16*y**4. Determine p, given that x(p) = 0.
-2, 0, 2/3
Suppose -35 = 3*w - 8*w. Suppose -2*q = -w*q + 10. Determine r so that 8*r**q - 3*r**2 - 2*r**2 - 2*r = 0.
0, 2/3
Let c(w) be the third derivative of w**7/350 - w**6/100 + w**5/100 + w**2 + 9*w. Determine t, given that c(t) = 0.
0, 1
Let u(k) = -k + 1. Let v be u(6). Let h be (-15)/v + (-5 - -2). Factor 0*m + h + 0*m**3 - 1/4*m**4 + 1/4*m**2.
-m**2*(m - 1)*(m + 1)/4
Let m be 1/((-40)/15 + 3). Let g(v) be the second derivative of 1/4*v**2 + 1/24*v**4 + 1/6*v**3 + 0 - m*v. Factor g(s).
(s + 1)**2/2
Let w(a) be the first derivative of 0*a**4 + 2*a + 1/135*a**6 - 1 + 0*a**3 + 0*a**2 + 0*a**5. Let g(b) be the first derivative of w(b). Factor g(z).
2*z**4/9
Let p = 160/231 - 2/77. Solve -p - 4/3*b - 2/3*b**2 = 0.
-1
Let t be ((-2)/2)/((-4)/8). Let m be 8/2*t/4. Let 0*v + 3*v**2 + 2*v**2 - m*v = 0. Calculate v.
0, 2/5
Let r = 3 - 3. Suppose 4*f - q = q + 6, -5*f + 5*q - 5 = r. Find s, given that -8/5*s**2 - 2/5*s - 8/5*s**f - 2/5*s**5 + 0 - 12/5*s**3 = 0.
-1, 0
Let j(z) be the first derivative of z**4/4 - 2*z**3/3 - z**2/2 + 2*z - 22. Determine l, given that j(l) = 0.
-1, 1, 2
Let f be 0*(0 + 1) - -32. Let f*k**5 - 3*k**2 + k**2 + 13*k**3 + 0*k**3 - 48*k**4 + 5*k**3 = 0. Calculate k.
0, 1/4, 1
Let k = -11 + 6. Let t be 0 + k/(-3)*3. What is c in 2*c**4 - 2*c**5 + c**2 + 0*c**t - c**2 = 0?
0, 1
Let q = 5 - 5. Let w = -11/4 + 17/4. Factor -s + w*s**2 + q + s**3.
s*(s + 2)*(2*s - 1)/2
Factor 0 + 18/7*m**2 - 4/7*m.
2*m*(9*m - 2)/7
What is v in 1/2*v**3 - 1/2*v**2 + 0*v + 0 = 0?
0, 1
Let p(c) be the third derivative of c**7/420 + c**6/80 + c**5/40 + c**4/48 - 17*c**2. Find m, given that p(m) = 0.
-1, 0
Let q(k) be the first derivative of k**6/7 + 4*k**5/7 + 6*k**4/7 + 4*k**3/7 + k**2/7 + 3. What is u in q(u) = 0?
-1, -1/3, 0
Let r be (1 + (-2)/(-18)*-3)*3. Factor 1/6*o + 0 - 1/3*o**r + 1/6*o**3.
o*(o - 1)**2/6
Let m(z) be the second derivative of z**10/75600 + z**9/12600 + z**8/5600 + z**7/6300 - z**4/6 - 3*z. Let g(j) be the third derivative of m(j). Factor g(w).
2*w**2*(w + 1)**3/5
Let p = 11 + -7. Let q(r) = r**2 - 6*r + 3. Let h be q(6). Solve -p + 16*o**3 + o - 17*o - 4*o**4 + 11*o**4 - h*o**2 + 0*o = 0 for o.
-2, -1, -2/7, 1
Solve -21*u**4 + 6*u**2 - 23*u**3 + 10*u**5 - 4 + 13*u**3 + 19*u**2 = 0.
-1, -2/5, 1/2, 1, 2
Let v(y) be the third derivative of y**8/5040 + y**7/1260 + 2*y**5/15 + 5*y**2. Let s(z) be the third derivative of v(z). Factor s(n).
4*n*(n + 1)
Let 0 - 16/5*p**3 - 4/5*p**2 + 4/5*p**4 + 16/5*p = 0. Calculate p.
-1, 0, 1, 4
Let a(x) = x**5 + x**3 - x**2 - 1. Let s(q) = 8*q**5 - 4*q**4 + 8*q**3 - 6*q**2 - 6. Suppose 3*v + 13 = -5. Let n(l) = v*a(l) + s(l). Find f such that n(f) = 0.
0, 1
Let c(j) be the first derivative of j**3/3 + 7*j**2 + 49*j + 71. Suppose c(r) = 0. What is r?
