a) = 5*h(a) + t(a). Factor b(n).
-5*(n - 16)*(n - 1)
Let p(f) be the third derivative of f**6/30 + f**5/5 + f**4/2 + 2*f**3/3 + 2*f**2 - 105*f. Factor p(b).
4*(b + 1)**3
Let a(w) = -12*w**4 - 31*w**3 - 13*w**2 + 6*w - 4. Let r(l) = 24*l**4 + 61*l**3 + 25*l**2 - 12*l + 10. Let y(q) = 5*a(q) + 2*r(q). Let y(f) = 0. Calculate f.
-2, -1, 0, 1/4
Suppose 102*v + 50*v = -285*v + 2185. Let 4/7*j**3 - 8/7*j**4 + 8/7*j**2 + 0 + 0*j - 4/7*j**v = 0. Calculate j.
-2, -1, 0, 1
Let t(o) be the second derivative of 7*o**5/22 + 37*o**4/66 + 2*o**3/33 + 9*o - 4. Suppose t(r) = 0. What is r?
-1, -2/35, 0
Suppose -2/5 + 26/5*k + 28/5*k**2 = 0. What is k?
-1, 1/14
What is y in 98*y**3 - 27*y**4 + 2*y**2 + 15*y**4 - 7*y**5 - 101*y**3 = 0?
-1, 0, 2/7
Suppose -21*l**2 + 44*l**3 + 18*l + 12 + 3*l + 33 - 41*l**3 = 0. Calculate l.
-1, 3, 5
Let y = 10/3 - 3. Let q(a) = 2*a**2 - 72*a + 313. Let n be q(31). Factor 1/3*o**5 + o**4 + 0*o + o**n + 0 + y*o**2.
o**2*(o + 1)**3/3
Let a be (-4)/6 - (21 + (-67)/3). Factor a*s**2 - 5/3*s - 2/3 + 5/3*s**3.
(s - 1)*(s + 1)*(5*s + 2)/3
Let d(c) be the first derivative of 4*c**3/3 - 4*c**2 - 12*c + 57. Let d(z) = 0. What is z?
-1, 3
Let v = -4 + -18. Let r be 5 + -4 + v/(-2). Factor -d**2 - 2*d - 3*d**2 + r*d**2 + 6*d.
4*d*(2*d + 1)
Let b be ((-2)/(-3))/(12/126). What is j in 11*j**2 + 4*j - 2*j - 24 + 2*j - b*j**2 = 0?
-3, 2
Find s, given that 0 - 1/6*s**2 + 1/3*s = 0.
0, 2
Let q(w) be the third derivative of -w**8/84 - 86*w**7/105 - 481*w**6/30 - 119*w**5/5 + 147*w**4 - 641*w**2. Suppose q(s) = 0. What is s?
-21, -2, 0, 1
Suppose 39*f**5 + 195*f**4 - 14*f**5 + 90*f**2 - 43*f**2 + 70*f**3 + 224*f**3 + 101*f**2 + 24*f = 0. Calculate f.
-6, -1, -2/5, 0
Suppose 33*h = -58 + 124. Determine v, given that 0 + v**4 - v**h - 3/4*v**3 + v - 1/4*v**5 = 0.
-1, 0, 1, 2
Let k = 298 - 298. Let c(f) be the second derivative of k + 9/20*f**5 + 1/42*f**7 - 1/6*f**6 + 1/3*f**3 - 5*f + 0*f**2 - 7/12*f**4. Factor c(t).
t*(t - 2)*(t - 1)**3
Let c(a) be the first derivative of 27*a**6 + 558*a**5/5 + 56*a**4 + 8*a**3 + 73. Factor c(x).
2*x**2*(x + 3)*(9*x + 2)**2
Let r(g) be the second derivative of -g**5/10 + 2*g**4/3 + 5*g**3/3 + g + 6. Factor r(u).
-2*u*(u - 5)*(u + 1)
Suppose 2*s + 4*v - 26 = 0, 4*v - 10 = -5*s + 25. Suppose 0 = 2*y - 3 - s. Solve 6*n**2 + 3*n**5 + 6*n**y - 4*n + 0 + 3 - 9*n**4 - 5*n = 0 for n.
-1, 1
Let k(d) be the second derivative of -4*d + 1/15*d**6 + 3/10*d**5 + 0*d**2 + 1/2*d**4 + 1/3*d**3 + 0. Determine l so that k(l) = 0.
-1, 0
Let p(w) = 5*w**5 - 6*w**4 - 34*w**3 + 80*w**2 - 57*w + 12. Let u(t) = t**4 - t**3 + t**2 - t. Let h(j) = 2*p(j) - 2*u(j). Solve h(b) = 0 for b.
-3, 2/5, 1, 2
Let y = -8 + -11. Let f = 97/5 + y. Factor 0*t + 2/5*t**3 - 2/5*t**2 + 2/5*t**4 - f*t**5 + 0.
-2*t**2*(t - 1)**2*(t + 1)/5
Let u(g) be the second derivative of 121*g**6/225 - 77*g**5/75 - 13*g**4/30 + 56*g**3/45 + 16*g**2/15 - 3*g - 11. Find a, given that u(a) = 0.
-4/11, 1
Let 33/2*w**2 + 3/2*w**4 + 0 - 9*w - 9*w**3 = 0. Calculate w.
0, 1, 2, 3
Let m be 44/165*-3*-6. Factor m + 12/5*v - 6/5*v**2 - 3/5*v**3.
-3*(v - 2)*(v + 2)**2/5
Let d(r) be the first derivative of -r**5/20 + r**4/8 + r**3 + 3*r**2 - 1. Let x(a) be the second derivative of d(a). Solve x(c) = 0.
-1, 2
Let s be (3 + -19 - -3)*1*-2. Let q be (-11)/((-231)/9) - s/(-21). Factor 2/3 + 2/3*o**2 + q*o.
(o + 2)*(2*o + 1)/3
Let q(g) be the second derivative of 0*g**3 - 6*g - g**2 + 1/56*g**4 + 0 - 1/140*g**5. Let x(p) be the first derivative of q(p). Factor x(n).
-3*n*(n - 1)/7
Factor -14/13*f**2 - 20/13*f + 16/13.
-2*(f + 2)*(7*f - 4)/13
Let u be -2 - (3 - (16 + -2)). Suppose -7 = x - u. Find k, given that x - 2*k**2 - 6*k**2 + 5*k**2 + k**2 = 0.
-1, 1
Factor -341*m - m**5 + 155*m**2 + 121 + 143*m**2 + 411*m**3 - 469*m**3 - 19*m**4.
-(m - 1)**3*(m + 11)**2
Let t(h) = 7*h**2 + 416*h + 2695. Let v(w) = -2*w**2 - 104*w - 674. Let z(b) = -2*t(b) - 9*v(b). What is n in z(n) = 0?
-13
Let u(w) be the third derivative of -7/5*w**5 + 0*w**3 + 0*w + 13*w**2 - 1/2*w**4 - 31/35*w**7 + 0 - 13/8*w**6 - 3/16*w**8. Let u(s) = 0. Calculate s.
-1, -2/3, -2/7, 0
Let v = 4251 + -8501/2. Factor c + 3/2 - v*c**2.
-(c - 3)*(c + 1)/2
Let y(t) = -2*t**3 - 3. Let x(h) = -3*h**3 - 39*h**2 - 12*h + 30. Let k(w) = x(w) + 6*y(w). What is s in k(s) = 0?
-2, -1, 2/5
Factor 132/5*v**2 - 3/5*v**3 - 129/5*v + 0.
-3*v*(v - 43)*(v - 1)/5
Let r(d) be the first derivative of 16*d - 4*d**3 - 4*d**4 - 31 - 4/5*d**5 + 8*d**2. Solve r(z) = 0.
-2, -1, 1
Let f(s) be the second derivative of -s**6/195 + 17*s**5/65 - 107*s**4/26 + 544*s**3/39 - 256*s**2/13 - 6*s - 2. Solve f(m) = 0.
1, 16
Let m(y) be the second derivative of y**6/30 - 3*y**4/4 + 2*y**3/3 + 6*y**2 - y + 34. What is x in m(x) = 0?
-3, -1, 2
Let g be 5/28*22/110. Let r(f) be the second derivative of 2*f - 3/14*f**2 - 1/14*f**3 + 0 + g*f**4 + 3/140*f**5. Let r(j) = 0. What is j?
-1, 1
Let q = 36 - 28. Find f such that 22*f**2 - 20*f**3 - 92*f + 24*f + q*f**3 + 34*f**2 + 24 = 0.
2/3, 1, 3
Suppose -116*z + 99*z = -34. Let y(u) be the first derivative of -2/9*u**3 + 0*u**z + 0*u - 5. Find c, given that y(c) = 0.
0
Let d = -16 - 5. Let n = -18 - d. Solve 1/2*t**n - 3/4*t**2 + 0*t + 1/4 = 0.
-1/2, 1
Let p(d) be the first derivative of d**4/16 + 79*d**3/6 + 313*d**2/8 + 39*d + 548. Let p(s) = 0. Calculate s.
-156, -1
Find x, given that -128/5*x + 12*x**3 + 44/5*x**4 + 4/5*x**5 + 144/5 - 124/5*x**2 = 0.
-9, -2, 1
Let m = 7 + -2. Solve -7*x**5 - 8*x**4 + 2*x - 2*x**m + 8*x**2 + 2*x + 5*x**5 = 0 for x.
-1, 0, 1
Let -1/5*h**2 - 256/5 + 32/5*h = 0. What is h?
16
Let k(d) = 2*d**2 + 3*d - 4. Let t be k(-3). Let h(i) be the first derivative of -6*i**2 + 3*i + t*i + 2*i**3 - 6 - 4*i + i**3. Factor h(s).
(3*s - 2)**2
Find l such that -220/7*l**3 + 848/7*l + 2/7*l**5 - 576/7 - 120/7*l**2 + 66/7*l**4 = 0.
-36, -2, 1, 2
Suppose 2*z + p = -2*p + 189, 5*z - 466 = -p. Let u be 4*(8/(-36) - z/(-297)). Factor 2/11*g**3 - u*g**2 - 2/11*g + 4/11.
2*(g - 2)*(g - 1)*(g + 1)/11
Solve -17/7*k + 10/7*k**2 + 8/7 - 1/7*k**3 = 0.
1, 8
Suppose 65*m = 44*m. Let g(r) be the third derivative of 0 + 1/3*r**4 + 8/3*r**3 + 6*r**2 + m*r + 1/60*r**5. Solve g(a) = 0.
-4
Let x(u) be the second derivative of 0 + 0*u**3 - 30*u + 0*u**2 - 1/30*u**5 + 2/9*u**4. Factor x(i).
-2*i**2*(i - 4)/3
Let x(b) = 50*b**5 + 74*b**4 + 53*b**3 - 4*b**2 - 11. Let n(s) = 10*s**5 + 15*s**4 + 10*s**3 - s**2 - 2. Let j(l) = -22*n(l) + 4*x(l). Factor j(z).
-2*z**2*(z + 1)**2*(10*z - 3)
Let t(m) be the third derivative of -m**6/30 + 2*m**5/3 + 28*m**4/3 + 15*m**2. Factor t(h).
-4*h*(h - 14)*(h + 4)
Let k(v) be the third derivative of -v**6/96 - 5*v**5/24 - 5*v**4/6 + 6*v**2 + 9. Factor k(t).
-5*t*(t + 2)*(t + 8)/4
Let k = 209 + -209. Let y be (k/(6 + -12))/4. Solve -2/9*w**2 + y - 4/9*w = 0 for w.
-2, 0
Let v = -221 - -221. Let x(k) be the first derivative of 4 + v*k + 1/3*k**4 + 0*k**2 + 2/15*k**5 + 2/9*k**3. Factor x(p).
2*p**2*(p + 1)**2/3
Let x(k) be the second derivative of k**4/6 + 13*k**3/3 + 30*k**2 + 494*k. Factor x(t).
2*(t + 3)*(t + 10)
Let n be ((-22)/(-99))/((-2)/3)*-4. What is p in 4/3*p**2 - 29/3*p**4 + 7*p**5 + n*p**3 + 0*p + 0 = 0?
-2/7, 0, 2/3, 1
Suppose 12*r = 16*r + 28. Let a = r - -9. Factor 3*b + b + 0*b + 215*b**2 - 4 - 216*b**a.
-(b - 2)**2
Let r(m) be the first derivative of -2*m**5/65 - m**4/26 + 20*m**3/39 + 4*m**2/13 - 48*m/13 + 74. Determine n so that r(n) = 0.
-3, -2, 2
Let d = 296027 - 2661115/9. Let w = d + -344. Factor -2/9*q**2 + 16/9*q - w.
-2*(q - 4)**2/9
Determine f so that -19/4 + 1/4*f**2 - 9/2*f = 0.
-1, 19
Suppose -3*u = 2*u - 25. Let j(l) = 5*l**4 - 8*l**3 - l**2 - 6. Let b(h) = h**4 - h**3 - 1. Suppose 117 = -7*t - 93. Let s(q) = t*b(q) + u*j(q). Factor s(o).
-5*o**2*(o + 1)**2
Suppose -9*c + 400 = -5*c. Solve c*a**3 - 5*a - 105*a**3 + 4*a**2 + 6*a**2 = 0.
0, 1
Let f = 1467/4 - 342. Let h = -49/2 + f. Determine y, given that 1/4*y - h*y**2 + 1/2 = 0.
-1, 2
Let q(o) = -o**2 - 33*o + 36. Let f be q(-34). Find l, given that 0 + 4/3*l**3 - 8/9*l**5 - 4/9*l + 14/9*l**4 - 14/9*l**f = 0.
-1, -1/4, 0, 1, 2
Suppose s = -5*z + 30, -4*s + 57 = -s + 4*z. Let d be 168/90 - (-2)/s. Let -d*h + 2/3 - 2/3*h**3 + 2*h**2 = 0. Calculate h.
1
Let l(z) be the third derivative of -z**7/63 + 31*z**6/180 - 11*z**5/15 