7*n**o - 4*n**3 - 80/7*n + 32/7.
-4*(n + 2)**2*(7*n - 2)/7
Let g(j) be the second derivative of j**5/10 + 17*j**4/6 + 14*j**3 + 121*j. Let g(x) = 0. What is x?
-14, -3, 0
Let b(p) be the first derivative of p**6/10 + 3*p**5/25 - 129*p**4/10 - 276*p**3/5 + 108*p**2 - 7214. Solve b(c) = 0 for c.
-6, 0, 1, 10
What is k in -22/7*k**4 + 0 - 20/7*k**5 + 22/7*k**2 + 2/7*k + 18/7*k**3 = 0?
-1, -1/10, 0, 1
Let c = -565 - -576. Suppose 0 = s + 3*l - 19 + 2, 2*s + c = 3*l. Factor 3/2*f - 6*f**s - 3/2*f**3 + 6.
-3*(f - 1)*(f + 1)*(f + 4)/2
Let q(n) be the second derivative of n**6/15 - 17*n**5/5 + 71*n**4/2 - 80*n**3/3 - 1300*n**2 - 2149*n. Factor q(c).
2*(c - 26)*(c - 5)**2*(c + 2)
Let n(r) be the second derivative of 2 - 2/45*r**6 + 8/9*r**3 - 4*r - 4/15*r**5 - 1/3*r**4 + 8/3*r**2. What is o in n(o) = 0?
-2, -1, 1
Let b(q) = 6*q - 6*q**2 + 3*q + 20*q**2 - 13*q**2 - 8. Let p be b(-10). Factor -5*g**p - 89 + 0*g**2 + 9 - 40*g.
-5*(g + 4)**2
Suppose 53*p = 55*p - 18. Suppose -5*c = g + g - 24, -22 = -p*g - c. What is i in -8/5*i**3 + 2/5 - 8/5*i + 2/5*i**4 + 12/5*i**g = 0?
1
Let p(u) be the second derivative of 1/36*u**4 + 1/2160*u**6 + 1/180*u**5 - 7/6*u**3 + 0*u**2 - 8*u + 0. Let n(i) be the second derivative of p(i). Factor n(w).
(w + 2)**2/6
Let i(w) be the second derivative of 0*w**2 + 1/45*w**6 + 0 + 3/10*w**5 - 13/6*w**3 - 5/6*w**4 + 34*w. Let s(c) be the second derivative of i(c). Factor s(o).
4*(o + 5)*(2*o - 1)
Suppose -352*d + 351*d + 2 = -2*r, -3*r = -3*d + 6. Solve -110/7*g**d - 2/7*g**3 - 1458/7 - 1566/7*g = 0.
-27, -1
Let x(y) = 4*y**3 + 370*y**2 + 774*y - 1142. Let i(c) = 8*c**3 + 369*c**2 + 775*c - 1143. Let k(p) = -2*i(p) + 3*x(p). Factor k(a).
-4*(a - 95)*(a - 1)*(a + 3)
Let y be (10/14)/((468/455)/(-18)). Let f = y - -85/6. Let 7/3*d - 2 + f*d**2 = 0. What is d?
-2, 3/5
Let v(r) = 9*r**3 - 18*r**2 + 84*r + 7. Let y(i) = 7*i**3 - 23*i**2 + 84*i + 6. Let b(l) = -6*v(l) + 7*y(l). Determine w, given that b(w) = 0.
-12, 0, 7/5
Let u be (-20)/(-6) - (-4)/(-6). Let w be 0/((-127 - -223) + -59). Find z, given that w - 16/3*z - u*z**2 + 7/3*z**3 - 1/3*z**4 = 0.
-1, 0, 4
Suppose 0 = -2*x - 4*u + 70, x - 27 = u - 4. Suppose 23*o - x*o + 12 = 0. Factor 2*h**2 + 24*h**3 + 2 - 7*h + h**4 + 7*h**2 - 29*h**o.
(h - 2)*(h - 1)**3
Let m(i) = -87*i - 258. Let u be m(-3). Suppose -4*v + 0*v + 5 = -5*g, 0 = -5*g - u*v + 30. Factor 8/3*h**2 - 64/3*h**g + 154/3*h**4 - 98/3*h**5 + 0 + 0*h.
-2*h**2*(h - 1)*(7*h - 2)**2/3
Let g(s) be the second derivative of -121*s**6/150 + 583*s**5/50 + 109*s**4/15 + 4*s**3/3 + 2*s + 1029. Factor g(r).
-r*(r - 10)*(11*r + 2)**2/5
Let -912/5*m**2 - 1236/5*m - 522/5 - 6/5*m**4 - 204/5*m**3 = 0. What is m?
-29, -3, -1
Let o be (2268/(-180))/21*20/(-66). Find z such that o*z**2 + 0*z + 0 = 0.
0
Let h(p) be the second derivative of -p**7/42 - 2*p**6/5 + 29*p**5/20 + p**4 - 14*p**3/3 + 92*p - 16. Suppose h(w) = 0. What is w?
-14, -1, 0, 1, 2
Let k be ((-10)/(-12))/((-360)/(-3600)). Let 10 + k*j + 5/3*j**2 = 0. Calculate j.
-3, -2
Let p = 112726 - 112726. Find x, given that 8/5*x**2 - 6/5*x + p - 2/5*x**3 = 0.
0, 1, 3
Let c(x) be the third derivative of -x**7/630 - 13*x**6/36 - 3217*x**5/180 + 910*x**4 - 14112*x**3 - 4*x**2 + 469*x. Find o such that c(o) = 0.
-72, 7
Let m(f) be the third derivative of 1/42*f**7 + 0*f + 0*f**3 + 5/24*f**4 + 1/4*f**5 + 0 + 1/8*f**6 - 7*f**2. Solve m(y) = 0.
-1, 0
Let j(a) be the first derivative of 63 - 70/3*a**3 - a - 2*a**5 + 299/8*a**4 - 37/4*a**2 - 25/3*a**6. Let j(h) = 0. Calculate h.
-2, -1/10, 1
Let -8978/19*k**2 - 8/19 + 536/19*k = 0. Calculate k.
2/67
Let l(g) be the first derivative of 22/3*g**2 - 70/9*g**3 - 2*g + 8/3*g**4 - 5. Let l(o) = 0. Calculate o.
3/16, 1
Let -47/4*k - 3*k**2 + 23/2*k**3 - 9/2*k**4 + 1/4*k**5 + 15/2 = 0. Calculate k.
-1, 1, 2, 15
Let g(y) be the second derivative of -1/150*y**6 + 2*y + 0*y**3 + 1/420*y**7 + 106 + 0*y**2 + 1/60*y**4 - 1/200*y**5. What is f in g(f) = 0?
-1, 0, 1, 2
Let r be (-12 - -8 - -14) + -8. Let p(s) be the second derivative of 0*s**r + 21/80*s**5 - 1/8*s**3 + 11*s - 1/8*s**4 - 1/10*s**6 + 0. Factor p(u).
-3*u*(u - 1)**2*(4*u + 1)/4
Let n(u) be the first derivative of u**4/24 + u**3/3 + 8*u + 69. Let f(s) be the first derivative of n(s). Find y such that f(y) = 0.
-4, 0
Suppose 136/5*h**2 - 258/5*h - 2/5*h**3 - 396/5 = 0. Calculate h.
-1, 3, 66
Suppose 4*l - 3*u = 42, 7*l = 8*l - 2*u - 23. Determine z so that -6/11*z**2 - 1/11*z**4 + 4/11*z + 4/11*z**l - 1/11 = 0.
1
Suppose 29*a - 10*a - 549 + 321 = 0. Factor 3/2*o**3 - 6 + a*o - 15/2*o**2.
3*(o - 2)**2*(o - 1)/2
Let a(f) be the first derivative of -f**3/3 - 5*f**2 - 24*f - 183. Let x be a(-4). Factor 0*l**2 + 0*l**3 + x + 0*l - 2/7*l**5 + 0*l**4.
-2*l**5/7
Suppose 3*u - 696 = -21*u. Suppose u*r = -8*r + 111. Determine l, given that l + 0 - 1/2*l**r + 1/2*l**2 = 0.
-1, 0, 2
Let m = -84 + 79. Let l be (3 - 3)/((-2)/10*m). Factor -1/2*r**3 - 3/2*r + l - 2*r**2.
-r*(r + 1)*(r + 3)/2
Suppose 3*g - 4*q = 89, -10*q - 152 = -5*g - 7*q. Let 35*z + g*z**3 + 27*z**2 + 2 - 5*z**2 + 67*z**2 - 25*z**2 = 0. Calculate z.
-1, -2/31
Factor 30*k**2 - 2/5*k**3 - 576/5 - 424/5*k.
-2*(k - 72)*(k - 4)*(k + 1)/5
Let s(k) be the second derivative of 0*k**3 + 3/8*k**5 + 3*k - 2 + 1/20*k**6 + 0*k**2 + 0*k**4. Factor s(b).
3*b**3*(b + 5)/2
Suppose -p - 6*p = p. Suppose p = -3*d + 9 - 3. Suppose -8*q**4 + 16*q**2 + d*q**3 + 7*q**4 + 2*q**3 - 3*q**4 - 16*q = 0. Calculate q.
-2, 0, 1, 2
Let a(r) be the second derivative of -r**4/42 - 13*r**3/7 - 74*r**2/7 + 268*r. What is u in a(u) = 0?
-37, -2
Suppose 2192 = 512*h + 656. Suppose -1/5*s**4 - 41/10*s**h + 121/5 + 407/10*s - 87/5*s**2 = 0. What is s?
-11, -1/2, 2
Let t be (-18)/3 + 7 - -50. Suppose -3*h**3 - 82*h - 30*h + 19*h - 45 - t*h**2 = 0. Calculate h.
-15, -1
Suppose -9*o - 44 = -80. Solve -396*v + 140 + 462*v**3 - 32 + 156*v**2 + 147*v**o - 45*v**2 = 0.
-2, 3/7
Let g(i) be the third derivative of -i**8/6720 - i**7/315 - 49*i**4/24 + 4*i**2 - 11. Let k(j) be the second derivative of g(j). Factor k(f).
-f**2*(f + 8)
Let y be -8*(-5)/(26 + -6). Factor -24*h + 13*h**2 - 5*h**y - 8 + 5*h**2 + h**2.
2*(h - 2)*(7*h + 2)
Suppose 0*t + 62/15*t**4 + 0 - 4/15*t**5 + 0*t**2 - 2*t**3 = 0. What is t?
0, 1/2, 15
Let k = -66687 + 66689. Factor -2/7*v**3 - 16/7*v**k - 26/7*v - 12/7.
-2*(v + 1)**2*(v + 6)/7
Let t = -9760833/11 - -887349. Let 14/11 + 4*q + t*q**2 = 0. Calculate q.
-7, -1/3
Let n(z) = 52*z**2 - 16*z. Let l(q) = 4*q**2 - 32*q - 5. Let h be l(8). Let b(a) = -11*a + 28*a**2 + 5*a**2 + 2*a**2. Let c(y) = h*n(y) + 8*b(y). Factor c(o).
4*o*(5*o - 2)
Suppose 0 = -48*m + 30*m + 36. Let n(a) be the third derivative of 0*a + 4*a**m + 1/6*a**3 - 1/36*a**4 - 1/180*a**5 + 0. Solve n(j) = 0 for j.
-3, 1
Let g(b) be the first derivative of -2*b**5/75 - 7*b**4/10 - 12*b**3/5 - 130. Let g(n) = 0. What is n?
-18, -3, 0
Let j(l) be the first derivative of -4*l**3/9 - 40*l**2 - 236*l/3 + 6870. Find h such that j(h) = 0.
-59, -1
Factor 1/6*o**2 + 605/3*o + 0.
o*(o + 1210)/6
Let h = -500109 - -4501009/9. Factor 10/3*s - 2/9*s**3 + 0 + h*s**2.
-2*s*(s - 15)*(s + 1)/9
Factor 7*q**3 - 2729 + 429 - 810*q + 2625*q - 2*q**3 + 480*q**2.
5*(q - 1)*(q + 5)*(q + 92)
Factor -16*g - 320 - 1/5*g**2.
-(g + 40)**2/5
Let m(j) = 3264*j + 3227*j - 1507*j + 76*j**2 + 142988. Let f(l) = -7*l**2 - 453*l - 12999. Let q(i) = 32*f(i) + 3*m(i). Factor q(h).
4*(h + 57)**2
Let f(y) = -7*y**3 - 22*y**2 + 252*y + 652. Let q(l) = 33*l**3 + 113*l**2 - 1260*l - 3259. Let k(p) = -19*f(p) - 4*q(p). Factor k(b).
(b - 18)**2*(b + 2)
Solve -9/2*l + 13/4*l**4 - 41/4*l**3 + 0 - 1/4*l**5 + 47/4*l**2 = 0 for l.
0, 1, 2, 9
Suppose 28*f - 3220 = 18*f. Let a be (-3)/(10 - -8) + f/204. Determine p, given that 128/17 + a*p**2 - 96/17*p - 2/17*p**3 = 0.
4
Suppose 121*c - 4679 + 2342 = -2337. What is q in 50/7*q**3 + 0*q + 10/7*q**5 + 52/7*q**4 + 8/7*q**2 + c = 0?
-4, -1, -1/5, 0
Let o = -1000 - -999. Let l(q) = 6*q**3 + 2*q**2 - 2*q - 2. Let y = 4 + -2. Let p(v) = v**3 - v**2 + v + 1. Let r(m) = o*l(m) + y*p(m). Factor r(i).
-4*(i - 1)*(i + 1)**2
Let p(r) be the third derivative of r**5/150 + r**4/10 + 3*r**3/5 - 3*r**2 + 26. Factor p(x).
2*(x + 3)**2/5
Let v = 3942 + -3940. Let r(z) be the second derivative of 28*z - 3/40*z**5 + 0*z**4 + 