Let d(p) = 0. What is p?
-23, 0
Let l(w) be the second derivative of -w**4/6 - 9*w**3 - 110*w**2 - 8239*w. Factor l(a).
-2*(a + 5)*(a + 22)
Let q(v) be the first derivative of 0*v + 9 - 1/12*v**4 - 2/3*v**2 + 5/9*v**3. Factor q(g).
-g*(g - 4)*(g - 1)/3
Let g(u) be the first derivative of -10 - 13/2*u**2 - 1/6*u**3 + 1/240*u**5 + 0*u + 1/32*u**4. Let i(x) be the second derivative of g(x). Factor i(s).
(s - 1)*(s + 4)/4
Suppose 40*m = 27*m + 39. Factor 3*t - 5*t - t - 3*t**m + t**2 + 5*t**2.
-3*t*(t - 1)**2
Let j(b) be the third derivative of -1/10*b**6 + 0*b**3 - 268*b**2 + 0*b + 8/105*b**7 - 1/168*b**8 + 0 - 4/15*b**5 + 7/12*b**4. Let j(g) = 0. What is g?
-1, 0, 1, 7
Let v(w) be the first derivative of -3*w**4/8 + 63*w**3/2 - 180*w**2 + 354*w - 1899. Factor v(f).
-3*(f - 59)*(f - 2)**2/2
Determine t so that -832/7 + 60*t - 2/7*t**2 = 0.
2, 208
Let h = 8300/151 - 2585161/3322. Let b = h - -1449/2. Determine m, given that -b*m**4 + 2/11*m**5 + 0*m**2 + 12/11*m**3 + 0 + 0*m = 0.
0, 1, 6
Let o be 10/72*(-16272)/(-5085). Find a such that 0 - o*a + 2/9*a**2 = 0.
0, 2
Let x(w) = 7*w + 72. Let p be x(-10). Let l be (-2)/(1/((-6)/4)). Factor 4*t**3 + 14*t**4 - 6*t**5 + p*t**2 - 3*t**3 - 11*t**l.
-2*t**2*(t - 1)**2*(3*t - 1)
Let n = -459425 - -43644144/95. Let p = n + 69/5. Determine d so that -2*d**3 + 32/19 - p*d**2 - 16/19*d**4 + 40/19*d - 2/19*d**5 = 0.
-4, -2, -1, 1
Let h(m) = 6*m**2 - 1656*m - 2. Let d(l) = l**2 + 40*l - 1. Let q(n) = 2*d(n) - h(n). Factor q(a).
-4*a*(a - 434)
Let s = -279343 - -279346. Factor 1/7*t**s + 21*t + 49 + 3*t**2.
(t + 7)**3/7
Find v such that -9/4*v**2 + 17/4*v**4 - 15/4*v**3 + 0 + 0*v + 7/4*v**5 = 0.
-3, -3/7, 0, 1
Suppose -24/13 - 18/13*t**2 + 40/13*t + 2/13*t**3 = 0. Calculate t.
1, 2, 6
Let r(j) be the third derivative of -j**7/630 - 7*j**6/36 - 34*j**5/5 + 35*j**4/36 + 1225*j**3/18 + 2063*j**2. Factor r(w).
-(w - 1)*(w + 1)*(w + 35)**2/3
Let o(r) be the third derivative of -r**7/1470 + r**6/42 + 43*r**5/420 + 11*r**4/84 - 2336*r**2. Let o(a) = 0. Calculate a.
-1, 0, 22
Let s(o) be the first derivative of 31 + 64*o + 40*o**2 - 79/4*o**4 - 1/6*o**6 - 47/3*o**3 - 17/5*o**5. Let s(m) = 0. What is m?
-8, -1, 1
Let d(v) = 4*v**2 + 1566*v + 13024. Let l be d(-383). Factor -2/3*m**5 + 14/3*m**4 + 0 + 10/3*m**l + 0*m - 22/3*m**3.
-2*m**2*(m - 5)*(m - 1)**2/3
Suppose 68 + 54*i**2 - i**3 - 20*i**2 - 43 - 35*i - 23*i**2 = 0. What is i?
1, 5
Solve 1/4*i**4 + 0 - 11/4*i**3 + 13/2*i**2 - 4*i = 0.
0, 1, 2, 8
Let u = -179 - -18796/105. Let g(h) be the third derivative of -u*h**7 + 1/6*h**4 - 1/30*h**6 + 1/30*h**5 + 0 + 0*h**3 + 0*h + h**2. Factor g(x).
-2*x*(x - 1)*(x + 1)*(x + 2)
Let u = -50/399 - -169/1197. Let h(m) be the second derivative of 0*m**3 + 1/10*m**5 + 0*m**2 + 10*m + u*m**7 + 0 + 1/15*m**6 + 1/18*m**4. Factor h(k).
2*k**2*(k + 1)**3/3
Let r be ((-66)/(-18) + -3)/(10/375). Factor -25*s**3 + 6*s**4 - 35*s**2 - 108 + 218 - s**4 - 80 + r*s.
5*(s - 6)*(s - 1)*(s + 1)**2
Factor 62 + 42 + 4*f**3 + 119 + 46 - 32*f**2 - 36*f + 19.
4*(f - 8)*(f - 3)*(f + 3)
Suppose 38*k = 77*k - 2145. Suppose -60*v + 20 = -k*v + o, 0 = -2*v - 5*o + 8. Factor 3*i**3 - 1/2*i**v - 9/2*i**2 + 2*i + 0.
-i*(i - 4)*(i - 1)**2/2
Let g(r) be the third derivative of r**6/360 + 239*r**5/180 + 590*r**4/3 - 800*r**3 + 3*r**2 - 113. Determine n, given that g(n) = 0.
-120, 1
Let n(g) be the second derivative of -g**4/6 - 2138*g**3/3 - 1142761*g**2 - 1321*g. Factor n(c).
-2*(c + 1069)**2
Let t(h) be the first derivative of 0*h + 38 + 1/22*h**4 - 4/55*h**5 - 1/33*h**6 + 4/33*h**3 + 0*h**2. Solve t(y) = 0.
-2, -1, 0, 1
Let a(m) be the first derivative of m**6/120 + m**5/60 - m**4/12 + m**2 - m + 81. Let w(z) be the second derivative of a(z). Factor w(h).
h*(h - 1)*(h + 2)
Let d be -2 + 160/70 + (-363)/1540. Let v(j) be the second derivative of -1/100*j**5 - 24*j - 1/10*j**2 + 0 - d*j**4 - 1/10*j**3. Solve v(y) = 0.
-1
Suppose -2*h = 3*j - 3, 5*h = -0*j - j - 25. Let b be (-6 + 16)*h/45*-1. Find m, given that -4/3*m - 1/3*m**2 - b = 0.
-2
Let x(k) be the third derivative of -k**6/180 + k**5/90 + k**4/18 - 26*k**2 + 14. Solve x(j) = 0 for j.
-1, 0, 2
Let p(g) be the second derivative of g**5/5 + 4*g**4/3 + 2*g**3/3 - 12*g**2 - 2641*g. Factor p(x).
4*(x - 1)*(x + 2)*(x + 3)
Let m(o) be the third derivative of -o**5/60 + 7*o**4/8 + 23*o**3/3 - 63*o**2 - 3*o. Let m(r) = 0. Calculate r.
-2, 23
Let p(g) be the second derivative of g**7/7 + 16*g**6/15 + 13*g**5/5 + 8*g**4/3 + g**3 + 10*g - 47. Suppose p(o) = 0. Calculate o.
-3, -1, -1/3, 0
Let i(r) = -4*r**2 + 191*r - 139. Let j be i(47). Let h(u) be the first derivative of u - 1/15*u**5 + 0*u**4 - 4/3*u**j + 2/3*u**3 - 11. Factor h(w).
-(w - 1)**3*(w + 3)/3
Suppose 2*b - 3*x - 39 = 0, 2*b - 71*x + 67*x - 44 = 0. Factor 0 + 1/3*r**3 - 4*r**2 + b*r.
r*(r - 6)**2/3
Solve 394*s**2 - 75*s + 141 - 205*s + 654 - 190*s**2 - 199*s**2 = 0.
3, 53
Let i = 24622/129371 - 100/11761. Factor -6/11*k - 6/11*k**2 - 2/11*k**3 - i.
-2*(k + 1)**3/11
Let k(i) be the first derivative of 0*i - 1/6*i**4 + 0*i**3 + 17/2*i**2 - 2 - 1/90*i**5. Let u(y) be the second derivative of k(y). Factor u(w).
-2*w*(w + 6)/3
Suppose -4*m - w + 6*w = 1, m + 4*w = 26. Let p be 2/6 - (6 - m - 0). Factor -2/3*s + p*s**2 + 0.
s*(s - 2)/3
Let r(d) be the third derivative of d**6/630 - d**5/210 - d**4/21 - 29*d**3/3 - 77*d**2. Let j(f) be the first derivative of r(f). Find c, given that j(c) = 0.
-1, 2
Let j = 1512/1315 - -66/1315. Determine s so that 4/5*s**2 - 4/5*s**4 - j*s + 8/5*s**3 + 0 - 2/5*s**5 = 0.
-3, -1, 0, 1
Let f = 2918369/9 + -324263. Factor -2/9*d**2 + 0*d + 0 - f*d**3.
-2*d**2*(d + 1)/9
Let x(z) = 25*z**3 + 675*z**2 - 1475*z - 2125. Let g(y) = 2*y**3 + 58*y**2 - 123*y - 177. Let d(u) = 35*g(u) - 3*x(u). What is j in d(j) = 0?
-3, -2, 6
Let x(j) = 18*j**4 - j**3 + j**2 + 1. Let a(c) = 60*c**4 - 115*c**3 - 191*c**2 - 42*c + 4. Let o(m) = a(m) - 4*x(m). Factor o(k).
-3*k*(k + 2)*(k + 7)*(4*k + 1)
Suppose 510*u + 70 = 503*u. Let c be 7 - (-6 - 128/u). Factor 3/5*t + 2/5*t**4 - 1/5*t**2 - 3/5*t**3 - c.
(t - 1)**2*(t + 1)*(2*t - 1)/5
Suppose -30 = -27*n + 22*n + y, 0 = 7*n + 5*y + 54. Find f such that -3/4*f**4 + 21/2 + 9/4*f**n + 99/4*f + 69/4*f**2 = 0.
-2, -1, 7
Solve -3/2*r**4 - 27/2*r**3 - 69/2*r**2 - 45/2*r + 0 = 0 for r.
-5, -3, -1, 0
Let f be ((-19)/57)/(30/(-525) - 8/60). Find z, given that 0*z - 3/2*z**3 - 1/2*z**5 + 0*z**2 + 0 - f*z**4 = 0.
-2, -3/2, 0
Let w(o) be the second derivative of -o**5/12 + 5*o**4/8 + 25*o**3/3 + 7*o**2/2 - 124*o. Let b(c) be the first derivative of w(c). Suppose b(z) = 0. What is z?
-2, 5
Find f, given that 1246/3 + 1250/3*f**2 - 2/3*f**3 - 2494/3*f = 0.
1, 623
Let x(d) = -d**3 + 12*d**2 + 16*d - 39. Suppose 0 = 10*u - 7*u - 39. Let t be x(u). Determine z, given that t + z - 1/2*z**2 = 0.
0, 2
Find i, given that 0 + 338/3*i + 18*i**3 + 130*i**2 + 2/3*i**4 = 0.
-13, -1, 0
Let v = 1957809549/2330459824 - -3/1891607. Let l = 3/176 + v. Solve 3/7*j**3 - 2*j**2 + 17/7*j - l = 0 for j.
2/3, 1, 3
Let i(v) be the third derivative of 1/165*v**7 + 3*v**2 + 0*v**3 + 1/924*v**8 - 2/165*v**5 + 0*v + 0*v**4 + 2 + 1/165*v**6. Solve i(h) = 0 for h.
-2, 0, 1/2
Let l(j) be the first derivative of 112 + 2266/9*j**3 + 24*j - 400/3*j**2 - 121/6*j**4. Suppose l(a) = 0. What is a?
2/11, 9
Let x(j) be the first derivative of j**8/5880 + j**7/245 + 4*j**6/105 + 16*j**5/105 - 124*j**3/3 + 20. Let a(f) be the third derivative of x(f). Factor a(i).
2*i*(i + 4)**3/7
Let i = 1955/18 - 910/9. Let b(a) be the first derivative of 10*a + 12 - i*a**2 + 5/3*a**3. Find c, given that b(c) = 0.
1, 2
Let j be 9*(-4)/(-12)*-2. Let f be 8/j + (5 - (-2 + 5)). Factor q**2 - f*q - 1/3.
(q - 1)*(3*q + 1)/3
Let p(d) be the second derivative of d**4/24 + 697*d**3/3 + 485809*d**2 - 6*d + 339. Solve p(s) = 0 for s.
-1394
Let c(v) = 3*v**2 - 180*v - 367. Let l be c(62). Let h(f) be the first derivative of -24 + f - 1/5*f**l + 1/2*f**4 - f**2 + 0*f**3. Solve h(k) = 0.
-1, 1
Let m = -34 - -46. Let h(n) = -n**3 + 12*n**2 + 2. Let a be h(m). Solve -12 - 2*f**3 + 4*f + 4*f**a + f**2 - 2*f + 2*f = 0 for f.
-3/2, 2
Let l(i) be the third derivative of i**7/70 + 9*i**6/4 + 261*i**5/20 - i**4/2 - 174*i**3 + 1137*i**2 + 2*i. Determine v, given that l(v) = 0.
-87, -2, 1
Solv