0*i**6 - 1/20*i**4 + 0. Find y, given that d(y) = 0.
2
Let q(n) be the third derivative of n**6/120 + n**5/5 + 41*n**4/24 + 5*n**3 - 570*n**2. Factor q(v).
(v + 1)*(v + 5)*(v + 6)
Let o(u) be the second derivative of u**7/21 - 43*u**6/15 + 439*u**5/10 + 527*u**4/6 - 440*u**3/3 - 484*u**2 + 24*u. Determine b so that o(b) = 0.
-1, 1, 22
Find t such that 1326*t**3 - 839 + 7180*t**2 + 1104*t - 253 - 3643*t**2 - 15*t**4 = 0.
-2, -1, 2/5, 91
Let f be 265/55 - (24/3 - 5). Suppose -16/11 - 2/11*b**2 - f*b + 2/11*b**3 = 0. Calculate b.
-2, -1, 4
Let r(g) = -g**3 + g. Let i(z) = -4*z**3 + 2*z**2 + 6*z. Let m(c) = i(c) - 5*r(c). Suppose m(v) = 0. Calculate v.
-1, 0
Determine a, given that 4 - 13*a**3 - 4 + 7*a**3 - 9*a - 9*a + 39*a**2 = 0.
0, 1/2, 6
Let w be 3*2 + 81180/108 + -1. Suppose -922/3*y**2 - 176*y**4 + w*y**3 - 3872/3*y**5 - 8/3 + 48*y = 0. Calculate y.
-1, 2/11, 1/4
Factor 21/4*w - 41/4*w**2 + 19/4*w**3 + 0 + 1/4*w**4.
w*(w - 1)**2*(w + 21)/4
Let j(w) = -37*w + 1445. Let m be j(39). Find i, given that 0 - 3/4*i**3 + m*i**2 - 9/4*i**4 + i = 0.
-2/3, 0, 1
Let i(a) be the second derivative of 7*a**4/12 - 23*a**3/6 + 3*a**2 + 19*a - 1. Factor i(u).
(u - 3)*(7*u - 2)
Let h(f) = -f**3 - 3*f**2 + 3*f - 4. Let q be h(-4). Factor q*s + 2*s + 3*s**2 - 11*s**2.
-2*s*(4*s - 1)
Let p(t) = -6*t - 3. Let m be p(-1). Let x(n) be the first derivative of 0*n**m + 0*n + 3 + 0*n**2 + 1/33*n**6 + 0*n**5 + 0*n**4. Factor x(c).
2*c**5/11
Let t = 5639/124 + 3/124. Let i = 46 - t. Let 1/2*f**2 + i*f**5 + 3/2*f**4 + 3/2*f**3 + 0 + 0*f = 0. Calculate f.
-1, 0
Find k such that 61 + 59/2*k - 1/2*k**2 = 0.
-2, 61
Let y(k) = k**3 + 3*k**2 - 5*k - 2. Suppose 8*o - 1 = -33. Let r be y(o). What is b in -81*b**r - 162*b - 18*b**3 - 3/2*b**4 - 243/2 = 0?
-3
Let o(l) be the first derivative of 0*l**5 - 13 + 0*l**3 + 4*l - 1/105*l**6 - 1/7*l**2 + 1/21*l**4. Let c(y) be the first derivative of o(y). Factor c(b).
-2*(b - 1)**2*(b + 1)**2/7
Let t = 37 - 29. Find j such that -t*j - 3*j**3 - 4*j**2 - 5*j**3 + 12*j**3 = 0.
-1, 0, 2
Let h(c) = -3*c - 3*c**2 - 95 - c**2 + c**3 + 91. Let t be h(5). Find r, given that 4*r - 2/3*r**2 - t = 0.
3
Let f be 224/(-1680)*(-3 + 2). Find u such that -f*u + 0 + 2/15*u**2 = 0.
0, 1
Let q(a) be the third derivative of -a**7/140 + 9*a**6/80 + 57*a**5/40 - 65*a**4/16 + 273*a**2 - 2. Find f, given that q(f) = 0.
-5, 0, 1, 13
Suppose -59*m = -64*m + 20. Suppose 2*t - 4 = 2*k + 4*t, -8 = 5*k + m*t. Factor 2/5*i**3 + 0*i + k*i**2 - 1/5*i**4 + 0 - 1/5*i**5.
-i**3*(i - 1)*(i + 2)/5
Let k(n) be the third derivative of -n**6/360 + n**5/60 + n**4/12 - 4*n**3/9 + 72*n**2. Let k(o) = 0. What is o?
-2, 1, 4
Let j = -678/5 + 136. Suppose 5*z + 5*y = -30, 885 = -z + 4*y + 909. Factor 0*x**2 + 0 - 2/5*x**4 + z*x + j*x**3.
-2*x**3*(x - 1)/5
Suppose 21*n = 28*n - 21. Let y(w) be the third derivative of -4*w**2 + 1/60*w**6 - 1/15*w**5 + 0*w + 1/12*w**4 + 0 + 0*w**n. Let y(g) = 0. What is g?
0, 1
Let j = -9 + 14. Let f = 56 + 18. Let 6*k**3 - f*k**5 + 56*k**4 + 44*k**4 - 46*k**3 + 5*k**2 - 6*k**j = 0. Calculate k.
0, 1/4, 1/2
Let v(c) = 16*c - 35. Let s be v(9). Let f = s + -213/2. Factor 0 + 5*w - 5*w**3 - 5/2*w**4 + f*w**2.
-5*w*(w - 1)*(w + 1)*(w + 2)/2
Let d(n) = -n**3. Suppose 2*w - 5*w - 2*j + 8 = 0, -j = 4*w - 9. Let u(f) = -7 + 3*f**3 + 13 - 6 + w*f**4. Let k(i) = 5*d(i) + u(i). Factor k(x).
2*x**3*(x - 1)
What is s in -48*s**2 - 162*s + 2*s**3 - 240 + s**3 - 66*s = 0?
-2, 20
Factor 8*a**3 + 40*a + 7*a**3 - 26*a**2 - 44*a**2.
5*a*(a - 4)*(3*a - 2)
What is k in -7 + 7 + 4*k**2 - 4 = 0?
-1, 1
Let n = 5486/7 - 82262/105. Factor n*f**2 + 0 + 2/5*f**3 + 0*f.
2*f**2*(3*f + 2)/15
Let m be (62/6)/(3 + (-365)/60). Let l = -2/111 - m. Find a such that 8/3*a**3 - 8/3*a**4 + 4/3*a**2 - l*a + 4/3 + 2/3*a**5 = 0.
-1, 1, 2
Factor 8112 + 3/4*d**2 - 156*d.
3*(d - 104)**2/4
Let z be (-8 + (-560)/(-64))/((-3)/(-16)). Factor 32/3 + 68/3*w**2 - z*w**3 - 88/3*w.
-4*(w - 4)*(w - 1)*(3*w - 2)/3
Suppose -5*f + 2*n - 2 = -18, -5*f + 14 = -3*n. Factor -73*d**2 + 20*d + 12*d**f - 55*d**3 + 20 + 28*d**2 + 15*d**5 - 7*d**4.
5*(d - 2)*(d + 1)**3*(3*d - 2)
Let m = -11/6 - -13/6. Let o(y) be the third derivative of 0*y + 1/6*y**4 + m*y**3 + 1/30*y**5 + 0 - 2*y**2. Factor o(b).
2*(b + 1)**2
Let j = -12911/24 - -538. Let x(v) be the second derivative of 6*v + 0*v**2 - j*v**3 + 1/96*v**4 + 0. Let x(y) = 0. Calculate y.
0, 2
Let n(r) be the third derivative of 0*r - 1/40*r**6 + 23*r**2 - r**3 - 5/8*r**4 + 0 - 1/5*r**5. Solve n(t) = 0.
-2, -1
Let v(k) be the third derivative of k**7/80 - 23*k**6/240 + 3*k**5/40 + k**3/2 - 26*k**2. Let o(y) be the first derivative of v(y). Factor o(j).
3*j*(j - 3)*(7*j - 2)/2
Let s = 2469/95 + -490/19. Let v = 137/35 - 26/7. Let 1/5*q**3 - s*q - 1/5*q**2 + v = 0. What is q?
-1, 1
Let f(z) = 4*z**2 + 3*z - 129. Let k(j) = j**2 + j - 33. Let w(u) = 6*f(u) - 22*k(u). Factor w(t).
2*(t - 6)*(t + 4)
Let p be 14/8*(43 - 44 - 9/(-7)). Factor 0 - x**2 + 3/2*x - p*x**3.
-x*(x - 1)*(x + 3)/2
Let d(y) be the first derivative of y**7/42 + y**6/8 + y**5/6 + y**2/2 + 14. Let w(p) be the second derivative of d(p). Factor w(k).
5*k**2*(k + 1)*(k + 2)
Let a(t) be the second derivative of -t**9/26460 + t**8/11760 + t**7/4410 - t**6/1260 + 4*t**4/3 + 19*t. Let g(f) be the third derivative of a(f). Factor g(u).
-4*u*(u - 1)**2*(u + 1)/7
Let c = 6262 - 43830/7. Determine x, given that -2/7*x + 6/7*x**4 + c*x**5 - 2/7*x**3 + 0 - 6/7*x**2 = 0.
-1, -1/2, 0, 1
Let k(q) = q + 3 - 3. Let x(i) = -i**2 + 9*i - 1. Let c(g) = -44*k(g) + 4*x(g). Factor c(a).
-4*(a + 1)**2
Let d(i) be the second derivative of i**6/15 - i**5/5 + i**4/6 + 56*i. Let d(x) = 0. Calculate x.
0, 1
Let y(x) = -21*x**2 - 90*x - 27. Suppose 0 = 6*r + 82 + 80. Let q(z) = 3*z**2 + 13*z + 4. Let n(v) = r*q(v) - 4*y(v). Let n(l) = 0. What is l?
-3, 0
Let i be 54/180*(-2)/(-144). Let l(o) be the third derivative of -1/40*o**5 + 0*o + i*o**6 + 0*o**3 - 3*o**2 + 0 + 1/24*o**4. Factor l(a).
a*(a - 2)*(a - 1)/2
Let h(a) be the second derivative of a**7/504 + a**6/18 + 2*a**5/3 + 11*a**4/12 + 24*a. Let o(x) be the third derivative of h(x). Let o(f) = 0. Calculate f.
-4
Let g(v) = -v**2 - 5*v - 2. Let i be g(-5). Let s be i*((-10)/(-6) - (-8 + 10)). Factor -2/3*o**2 + 2/3*o**3 - s*o + 2/3.
2*(o - 1)**2*(o + 1)/3
Let d(g) be the first derivative of 1/8*g**2 + 0*g - 1/24*g**3 + 6. Find z, given that d(z) = 0.
0, 2
Let h(g) = 6*g + 12. Let r(l) = -17*l - 35. Let m(q) = -11*h(q) - 4*r(q). Let b be m(-4). Factor 2/3*v + b + 2/9*v**2.
2*v*(v + 3)/9
Let k(d) be the first derivative of 5*d**4/3 - 46*d**3/3 - 20*d**2 - 49*d - 37. Let p(n) be the first derivative of k(n). Factor p(f).
4*(f - 5)*(5*f + 2)
Let d(q) be the second derivative of q + 4*q**2 - 1/135*q**5 - 1/540*q**6 + 0*q**3 - 1/108*q**4 + 0. Let l(h) be the first derivative of d(h). Solve l(s) = 0.
-1, 0
Let h(p) be the third derivative of p**6/24 + 5*p**5/6 - 55*p**4/24 - 2*p**2 - 20. Factor h(k).
5*k*(k - 1)*(k + 11)
Let b be (-58)/(-18) + 11/((-396)/8). Find a such that 2/5*a + 8/5*a**4 + 0 + 12/5*a**b + 8/5*a**2 + 2/5*a**5 = 0.
-1, 0
Let -2/15*p**2 + 0 + 28/15*p = 0. Calculate p.
0, 14
Suppose 2*f = 5*r - 68, f + 0 + 4 = 0. Let d be 69/54 - 2/r. Factor -8/9 - d*x**2 - 16/9*x - 2/9*x**3.
-2*(x + 1)*(x + 2)**2/9
Let u(g) = 34*g**4 + 22*g**3 + 4*g**2 + 2*g. Let m(z) = -67*z**4 - 43*z**3 - 8*z**2 - 5*z. Suppose -19*o = -14*o + 10. Let v(d) = o*m(d) - 5*u(d). Factor v(h).
-4*h**2*(3*h + 1)**2
Let n(k) be the first derivative of -k**6/180 + k**5/60 + 8*k**3 - 32. Let j(u) be the third derivative of n(u). Factor j(v).
-2*v*(v - 1)
Solve 39*k**4 - 30*k**5 - 108*k**3 + 160*k + k**4 + 26*k**5 + 8*k**2 + 0*k**5 = 0 for k.
-1, 0, 2, 4, 5
Let t(q) = q. Let u = 44 - 48. Suppose 0 = -2*r + 1 - 3. Let x(j) = -j**2 - 8*j - 4. Let p(d) = r*x(d) + u*t(d). Solve p(l) = 0.
-2
Factor 1/2 - 1/4*v**2 - 1/4*v.
-(v - 1)*(v + 2)/4
Let r(s) = 7*s**5 + 5*s**4 + 10*s**3 - 4*s**2. Let f(p) = -15*p**5 - 9*p**4 - 21*p**3 + 9*p**2. Let w(y) = -4*f(y) - 9*r(y). Factor w(t).
-3*t**3*(t + 1)*(t + 2)
Suppose 77*b = 93*b. Let r(f) be the third derivative of 0*f + b*f**3 - 1/72*f**4 - 2*f**2 + 0 - 1/180*f**5. Find q such that r(q) = 0.
-1, 0
Let b(o) = -64*o**4 - 36*o**3 + 64*o**2 + 64*o + 28. Let k(y) = -y**4 - 9*y**