5 + 2*l**4 + 16*l**3/7 - 4*l**2 - 52*l/7 - 3. Determine s, given that z(s) = 0.
-13, -1, 1
Let p(t) be the first derivative of 2*t**5/95 + 11*t**4/19 + 314*t**3/57 + 396*t**2/19 + 648*t/19 + 155. Let p(l) = 0. Calculate l.
-9, -2
Let i(s) = s**3 + 2*s**2 - 4*s + 2. Let p be i(-3). Suppose -a + 13 = p. What is m in -a + 34*m**2 - 12*m + 43*m**2 + 63*m**2 = 0?
-1/5, 2/7
Let i(z) = -z**2 - z. Suppose -5*s + 5*t + 80 = 0, -4*s + 0*s + 69 = -5*t. Let f(p) = 6*p**2 + 6*p. Let d(r) = s*i(r) + 2*f(r). Let d(k) = 0. Calculate k.
-1, 0
Let x = -554/65 - -142/13. Let r be 1/((-2)/6 + 2). Factor 9/5 + x*q + r*q**2.
3*(q + 1)*(q + 3)/5
Let c(v) = -v**3 - 3*v**2 + 5*v + 4. Let l be c(-4). Let h(r) be the second derivative of -3/20*r**5 + 0*r**2 + 0*r**4 + 3*r + l + 1/2*r**3. Solve h(d) = 0.
-1, 0, 1
Find c, given that 865/4*c**3 - 1024 - 1420*c**2 - 25/2*c**4 + 1/4*c**5 + 2240*c = 0.
1, 16
Let h = -201 - -1207/6. Let b(u) be the second derivative of u + 0*u**2 - h*u**3 + 0 - 1/12*u**4. Factor b(o).
-o*(o + 1)
Let q(s) be the third derivative of -s**9/453600 + s**8/50400 - s**7/18900 - 7*s**5/20 + 4*s**2. Let n(x) be the third derivative of q(x). Factor n(r).
-2*r*(r - 2)*(r - 1)/15
Suppose -52*p + 56*p = 0. Let x(w) be the third derivative of 0*w + p - 1/15*w**3 - 1/200*w**6 - 4*w**2 + 1/300*w**5 + 1/1050*w**7 + 1/40*w**4. Factor x(f).
(f - 2)*(f - 1)**2*(f + 1)/5
Let q(f) = -f**2 - 12*f + 17. Let r be q(-13). Suppose -3*c - 12 = -3*d + 6, -4*d - c + r = 0. Find n such that -10*n - 13*n**2 - d*n**2 + 6 + n = 0.
-1, 2/5
Let i(m) be the first derivative of -m**5/10 + 3*m**4/4 + 9*m**3/2 + m**2 - 18*m + 52. Suppose i(w) = 0. What is w?
-2, 1, 9
Let d be ((-4)/10)/((-1)/(-5)). Let y be -1 - (0 + (-3 - d)). Factor -1 - 7*t**2 - 8*t + 5*t**2 - 7 + y*t.
-2*(t + 2)**2
Let s(g) = 7*g**5 - 11*g**4 + 31*g**3 - 12*g**2 + 5. Let u(v) = -4*v**5 + 5*v**4 - 16*v**3 + 6*v**2 - 3. Let b(f) = -3*s(f) - 5*u(f). Factor b(p).
-p**2*(p - 6)*(p - 1)**2
Let r = 13275/4 + -3318. Let -3/4*w**2 + r*w + 3/2 = 0. What is w?
-1, 2
Let v(k) be the first derivative of 1/30*k**5 + 10 + 1/36*k**6 + 0*k - 1/24*k**4 + 0*k**2 - 1/18*k**3. Suppose v(a) = 0. Calculate a.
-1, 0, 1
Suppose -3022 = 4*y - 3022. Solve -2/11*m**4 - 2/11*m**3 + 0*m + 0 + y*m**2 = 0 for m.
-1, 0
Let p(y) be the first derivative of -y**4/6 - 88*y**3/9 - 85*y**2/3 - 28*y - 482. Let p(f) = 0. What is f?
-42, -1
Let x(v) be the second derivative of -v**8/1680 - 2*v**7/315 - 11*v**4/12 - 20*v. Let g(z) be the third derivative of x(z). Factor g(d).
-4*d**2*(d + 4)
Let i(d) be the third derivative of -1/90*d**5 + 0 - 1/72*d**4 + 0*d - 12*d**2 + 1/9*d**3 + 1/360*d**6. Find n, given that i(n) = 0.
-1, 1, 2
Let z = -17 - -17. Factor -6*h + 2*h**2 + 0 + 2 + 2 + z*h**2.
2*(h - 2)*(h - 1)
Let x(d) = -70*d + d**2 - 6 + 7 + 70*d. Let r(y) = -13*y**2 + 43*y + 6. Let s(z) = -5*r(z) - 20*x(z). Let s(p) = 0. What is p?
-2/9, 5
Let w = 29 - 16. Let l = w - 8. Factor f**4 + f - 3*f + l*f**2 - 23*f**3 + 19*f**3.
f*(f - 2)*(f - 1)**2
Let t(h) be the second derivative of h**6/10 + 21*h**5/20 - h**4/4 - 7*h**3/2 + 5*h - 28. Let t(b) = 0. What is b?
-7, -1, 0, 1
Let h(u) be the third derivative of 8/45*u**5 + 0*u**4 + 4*u**2 - 2/315*u**7 - 32/9*u**3 + 0*u + 0 + 0*u**6. Factor h(x).
-4*(x - 2)**2*(x + 2)**2/3
Let c(m) be the first derivative of 3*m**5/25 - 3*m**4/5 - 11*m**3/5 - 9*m**2/5 - 168. Factor c(w).
3*w*(w - 6)*(w + 1)**2/5
Let a be 3/2*(-4)/(-3). Let v(p) = 2*p**2 + 63*p - 28. Let k be v(-32). Factor -4 - 27*b + 19*b**2 - 9*b**k - 33*b**3 - 64*b**2 - a.
-3*(b + 1)**3*(3*b + 2)
Let l(p) = -59*p**2 - 89*p - 48. Let x(i) = -29*i**2 - 44*i - 23. Let g(z) = 4*l(z) - 9*x(z). Find f, given that g(f) = 0.
-1, -3/5
Let y(a) be the third derivative of a**8/100800 - a**7/25200 - a**6/1800 - a**5/6 - 2*a**2. Let i(t) be the third derivative of y(t). Solve i(c) = 0.
-1, 2
Let l(w) be the third derivative of w**6/48 + 7*w**5 + 980*w**4 + 219520*w**3/3 + 259*w**2. Solve l(n) = 0 for n.
-56
Let s be (-12 - -6)/6 - (-4)/4. Let q(u) be the second derivative of 0*u**4 + 0*u**5 - 2*u + s*u**2 + 1/135*u**6 + 0 + 0*u**3 + 1/189*u**7. Solve q(h) = 0.
-1, 0
Let q(f) be the third derivative of f**6/60 + f**5/10 - 4*f**3/3 + 84*f**2 + f. Factor q(s).
2*(s - 1)*(s + 2)**2
Let p(l) be the first derivative of -4*l**5/5 - 7*l**4 + 4*l**3 + 110*l**2 - 200*l + 161. Factor p(u).
-4*(u - 2)*(u - 1)*(u + 5)**2
Let u(q) = 3*q - 32. Let r(i) = -i - 2. Let x(z) = -2*r(z) - u(z). Let c be x(33). Factor 2*t + c*t**2 + 1/2 + 2*t**3 + 1/2*t**4.
(t + 1)**4/2
Let k(y) be the second derivative of 1/2*y**4 + 0 + 12*y**2 - 20/3*y**3 - 18*y. Find b, given that k(b) = 0.
2/3, 6
Let k = 4/187 - -1663/935. Factor -6/5*c + 1/5*c**2 + k.
(c - 3)**2/5
Let a(b) be the second derivative of b**5/5 - b**4/3 - 2*b**3/3 + 2*b**2 - 2*b + 11. Find k, given that a(k) = 0.
-1, 1
Let j(u) be the first derivative of 4*u**2 + 4/3*u**3 + 0*u + 5. Let j(q) = 0. Calculate q.
-2, 0
Let v(n) be the first derivative of -7/8*n**3 + 3/2*n - 9/4*n**2 + 17. Find c, given that v(c) = 0.
-2, 2/7
Let o = 993/142 + 36/71. Let f(b) be the first derivative of -2 - 5/4*b**4 - o*b**2 - 5*b - 5*b**3. Suppose f(x) = 0. Calculate x.
-1
Factor 0 - 4/15*t**2 - 34/15*t**3 + 0*t.
-2*t**2*(17*t + 2)/15
What is f in -29*f + 841 + 1/4*f**2 = 0?
58
What is z in 45/4*z - 3/4*z**3 + 0 + 21/2*z**2 = 0?
-1, 0, 15
Let y = 1579 - 1575. Find p such that 1/3*p**3 + 0*p**2 + 1/6 - 1/3*p - 1/6*p**y = 0.
-1, 1
Let j(m) = -2*m**2 - 98*m + 16. Let r(n) = -n**2 - 33*n + 6. Let o(b) = -3*j(b) + 8*r(b). Factor o(z).
-2*z*(z - 15)
Factor -148/11 + 146/11*m + 2/11*m**2.
2*(m - 1)*(m + 74)/11
Let o be 4/(-4)*(0 - 3). Find l such that 69 + 2*l - 53 - 4*l**o + 26*l + 8*l**2 = 0.
-1, 4
Let w(r) be the first derivative of 4*r**5/45 - 7*r**4/18 - 4*r**3 + 31*r**2/9 + 56*r/9 - 387. Let w(s) = 0. Calculate s.
-4, -1/2, 1, 7
Suppose 15*r**3 + 4*r - 14*r**3 - r**2 - 3*r - r**2 = 0. What is r?
0, 1
Let n be 4 + (-2)/(-12) + (-103 - -99). Find s, given that n*s**2 - 1/2*s**3 - 1/6*s**4 + 1/6*s**5 + 0 + 1/3*s = 0.
-1, 0, 1, 2
Let q(y) = -4*y**2 + 22*y - 52. Let z(a) be the first derivative of 3*a**3 - 45*a**2/2 + 105*a - 26. Let r(s) = -5*q(s) - 2*z(s). Factor r(o).
2*(o - 5)**2
Let j(c) = c**3 + 10*c**2 - c + 9. Let r be j(-10). Let q = r + -15. Factor 10*t**2 - t - 157*t**5 - q*t - 10*t**4 + 162*t**5.
5*t*(t - 1)**3*(t + 1)
Let t(o) be the first derivative of o**4/22 + 64*o**3/33 - 67*o**2/11 + 68*o/11 + 202. Factor t(b).
2*(b - 1)**2*(b + 34)/11
Suppose 0 = 4*k - 2*k - 4. Let q(r) = -597*r**3 + 2 + 595*r**3 - 3*r**5 + 6*r**5. Let f(s) = 39*s**5 - 27*s**3 + 27. Let z(j) = k*f(j) - 27*q(j). Factor z(a).
-3*a**5
Let a = 7996 + -23984/3. Determine h so that -16/9*h**4 + a*h**2 - 44/9*h**3 + 0 + 0*h = 0.
-3, 0, 1/4
Let h(q) = -q**2 - q + 4. Let t be h(0). Let o(b) be the third derivative of 0 + 1/390*b**5 + 0*b + 5*b**2 + 0*b**t - 1/39*b**3. Factor o(m).
2*(m - 1)*(m + 1)/13
Let p(n) be the second derivative of 22*n - 1/96*n**4 + 0*n**3 + 0 + 1/16*n**2. Let p(m) = 0. Calculate m.
-1, 1
Let x be -117 - (2 - 1 - -1). Let o = -12 - x. Let 11*m**2 + 20*m - 13*m + 29*m - o*m**2 - 32*m**4 + 4*m**5 + 88*m**3 = 0. Calculate m.
0, 1, 3
Let r(w) be the second derivative of -w**5/110 + w**4/132 - 11*w. Factor r(q).
-q**2*(2*q - 1)/11
Let b(s) be the third derivative of s**6/150 + s**5/5 + 8*s**4/5 + 88*s**3/15 + 118*s**2. Factor b(y).
4*(y + 2)**2*(y + 11)/5
Find y, given that -75/2*y**4 - 6*y**5 + 75/2*y**2 + 0 - 3*y**3 + 9*y = 0.
-6, -1, -1/4, 0, 1
Let s = -198 + 206. Let v(p) be the second derivative of -s*p + 1/15*p**6 - p**5 + 27*p**2 - 18*p**3 + 6*p**4 + 0. Factor v(o).
2*(o - 3)**3*(o - 1)
Factor 2 + 16/9*v - 2/9*v**2.
-2*(v - 9)*(v + 1)/9
Let m(s) be the first derivative of -1/4*s**2 + 1/12*s**6 + 0*s + 1/3*s**3 - 24 - 1/5*s**5 + 0*s**4. What is w in m(w) = 0?
-1, 0, 1
Let m(i) = -10*i**4 - 55*i**3 - 75*i**2 - 30*i. Let s(t) = -5*t**4 - 28*t**3 - 38*t**2 - 15*t. Let j(z) = -3*m(z) + 5*s(z). Let j(k) = 0. What is k?
-3, -1, 0
Let y(z) be the third derivative of z**8/16 - 51*z**7/70 + 63*z**6/20 - 29*z**5/5 + 3*z**4 + 86*z**2 + 3. Let y(n) = 0. Calculate n.
0, 2/7, 2, 3
Let u(r) be the third derivative of 2/9*r**4 + 1/18*r**5 + 4/9*r**3 + 0*r + 5*r**2 + 0 + 1/180*r