 a(-18). Let j(i) be the second derivative of 0 + 5/12*i**4 - 13*i + 1/16*i**y - 5/2*i**2 - 5/24*i**3. What is v in j(v) = 0?
-4, -1, 1
Let q(c) be the third derivative of 1/84*c**8 + 0*c + 0 + 0*c**6 + 0*c**3 - 2/15*c**5 - 46*c**2 - 1/6*c**4 + 4/105*c**7. Factor q(f).
4*f*(f - 1)*(f + 1)**3
Let l(x) be the first derivative of 3*x**6/40 + x**5/4 + x**4/8 - x**3/2 - 63*x**2/2 - 66. Let g(u) be the second derivative of l(u). Factor g(w).
3*(w + 1)**2*(3*w - 1)
Let f(m) be the third derivative of m**6/840 - m**5/84 - m**4/84 + 4*m**3/7 + m**2 - 800*m. Let f(l) = 0. What is l?
-2, 3, 4
Determine f so that -193 + 44*f + 415 + 48 - 2*f**2 + 40*f = 0.
-3, 45
Find k such that 5*k**5 - 35/4*k**2 + 75/2*k**3 - 115/4*k**4 - 5*k + 0 = 0.
-1/4, 0, 1, 4
Suppose 313600 - 2/3*r**3 - 1108/3*r**2 - 150080/3*r = 0. Calculate r.
-280, 6
Factor 6077*y**2 + 3363*y**2 - 530*y**3 + 23918*y**4 - 23923*y**4 - 39040*y.
-5*y*(y - 8)**2*(y + 122)
Suppose v = -v - 8. Let h be 0 - 12/v - -2. Suppose -12 + 9*p**4 - 10*p**2 + 9 - 9*p + 6*p**3 + 3*p**h + 4*p**2 = 0. What is p?
-1, 1
Let r(l) be the first derivative of -l**5/90 - 5*l**4/36 - 4*l**3/9 + 3*l**2/2 - 10*l + 22. Let h(k) be the second derivative of r(k). Factor h(f).
-2*(f + 1)*(f + 4)/3
Let h(r) = -3*r**4 + 27*r**3 + 159*r**2 - 387*r - 3. Let l(g) = -9*g**4 + 82*g**3 + 473*g**2 - 1162*g - 8. Let m(s) = 8*h(s) - 3*l(s). Factor m(n).
3*n*(n - 13)*(n - 2)*(n + 5)
Let k(t) = -2*t**2 + 2. Let n(v) = 10*v**2 - 9. Suppose 0*b - 10 = o + 4*b, o - 3*b = 11. Let h(x) = o*n(x) + 9*k(x). Factor h(d).
2*d**2
Factor 96794/5*g**2 - 876/5*g**3 - 190968/5*g + 95048/5 + 2/5*g**4.
2*(g - 218)**2*(g - 1)**2/5
Let h(k) be the third derivative of -2*k**7/105 - k**6/5 + k**5/15 + k**4 + 417*k**2. Let h(u) = 0. What is u?
-6, -1, 0, 1
Find y such that -164/5 - 316/5*y**2 + 8/5*y**3 - 488/5*y = 0.
-1, -1/2, 41
Suppose 0 = 5*b + 10, -11*t + 8*t - 3*b = 0. Suppose 4*j = a + 12, -3*a - t*a = -3*j - 8. Solve -37/4*f**3 + 5*f**2 + 15/2*f**a - 9/4*f**5 - f + 0 = 0 for f.
0, 2/3, 1
Let x(c) = c**2 - 4*c - 345. Let v be x(21). Let i(m) be the first derivative of 7/16*m**2 + v + 1/8*m**3 + 1/2*m. Factor i(q).
(q + 1)*(3*q + 4)/8
Let u = -7686 - -7688. Let t(z) be the second derivative of -2*z - 1/6*z**3 + 1/48*z**4 + 0 + 1/80*z**5 - 1/2*z**u. Factor t(i).
(i - 2)*(i + 1)*(i + 2)/4
Let d(t) be the second derivative of t**10/12096 - t**8/896 - t**7/504 - 67*t**4/12 - 39*t. Let v(i) be the third derivative of d(i). Find u such that v(u) = 0.
-1, 0, 2
Let d = -63667 - -63669. Factor 27/2 - 3/2*u**3 + 51/2*u + 21/2*u**d.
-3*(u - 9)*(u + 1)**2/2
Let n(a) be the third derivative of 11*a**7/14 - 295*a**6/24 + 291*a**5/4 - 1395*a**4/8 - 45*a**3 + 547*a**2. Suppose n(w) = 0. What is w?
-2/33, 3
Let s(a) = -9*a**2 - 3*a + 4. Let d(y) = -y**2. Suppose -4*b = 5*c + 27, c - 3*b + 0*b = 6. Let n(h) = c*s(h) + 24*d(h). Factor n(g).
3*(g - 1)*(g + 4)
Let t(q) = -58*q**3 - 6016*q**2 - 900240*q + 16. Let r(o) = -11*o**3 - 1203*o**2 - 180045*o + 3. Let p(n) = 16*r(n) - 3*t(n). Factor p(i).
-2*i*(i + 300)**2
Determine p, given that -324/5*p + 14/5 + 46/5*p**2 = 0.
1/23, 7
Let n(d) be the third derivative of -d**10/50400 - d**9/20160 + d**8/3360 - 13*d**5/30 + 22*d**2. Let z(l) be the third derivative of n(l). Factor z(u).
-3*u**2*(u - 1)*(u + 2)
Let r be (-5616)/(-95) + 366/305. Let w = r + -60. Determine d, given that 0*d + 2/19*d**3 + 0 - w*d**2 = 0.
0, 3
Let a be 78/(-416) - 27/(-48). Solve -a*w**2 - 5/4 - 17/8*w = 0 for w.
-5, -2/3
Let u = -21347 + 21354. Let y(g) be the first derivative of -2/33*g**3 + u + 0*g**2 + 18/11*g. Factor y(z).
-2*(z - 3)*(z + 3)/11
Suppose 66*p + 6*p**3 - 213/2*p**2 + 357/2 = 0. Calculate p.
-1, 7/4, 17
Let g = -1 - -25. Let c be g/(-84) + 88/14. Factor -10*v - v**3 - 4*v**3 + c*v**2 + 9*v**2.
-5*v*(v - 2)*(v - 1)
Let i(v) be the third derivative of v**8/560 + 47*v**7/1050 + 139*v**6/600 + 73*v**5/300 - 71*v**4/60 - 4*v**3 + 860*v**2. Solve i(g) = 0.
-12, -2, -5/3, -1, 1
Let q = 30847 - 30845. Let 94/15*r**q - 62/15*r - 10/3*r**3 + 2/5*r**4 + 4/5 = 0. Calculate r.
1/3, 1, 6
Suppose -16 = -3*k + 5*z, -10*z - 4 = -3*k - 11*z. Find x, given that -14*x**3 - 5*x + 39*x**2 + 0*x**4 + 9*x**k - x**4 + 19*x + 2*x**4 - 49 = 0.
-1, 1, 7
Suppose 0*s**2 + 4/3*s**4 + 0*s + 0 + 14*s**3 - 1/6*s**5 = 0. What is s?
-6, 0, 14
Let n(o) = -o**2 + 9*o. Let c(m) = m**2 - 8*m. Let q(g) = -4*c(g) - 3*n(g). Let p be q(4). Determine z so that 8 - 8 - 8*z**3 + p*z**5 + 4*z = 0.
-1, 0, 1
Suppose 2*y + 3*y + g = 8, 4*g = 2*y - 12. Let p be (y - 2/2)/1. Determine c so that -4*c**2 + 11 - p + 6 + 0 = 0.
-2, 2
Let h(w) = w**4 + w**3 - 2*w**2 + w - 1. Let d(t) = 2*t**4 + 59*t**3 + 162*t**2 + 103*t + 25. Let b(f) = -2*d(f) - 18*h(f). Determine j so that b(j) = 0.
-2, -2/11
Let d(f) = 2*f**3 + 602*f**2 - 7798*f - 28794. Let l(b) = -b**3 - 241*b**2 + 3120*b + 11517. Let o(s) = 5*d(s) + 12*l(s). Let o(g) = 0. What is g?
-3, 31
Let h = 101 - 403/4. Let t be 3/(-45) - (-380)/1200. Suppose -t - h*c**2 - 1/2*c = 0. What is c?
-1
Let v(f) be the second derivative of 0*f**2 - 25/4*f**5 + 0*f**3 + 2 + 65/12*f**4 + 11/6*f**6 + 6*f + 5/42*f**7. Let v(g) = 0. Calculate g.
-13, 0, 1
Let h(t) be the second derivative of 23*t - 5/12*t**4 + 0 + 25*t**2 + 5/2*t**3. Factor h(o).
-5*(o - 5)*(o + 2)
Suppose -16*c + 60 + 7876 = 0. Suppose c = 76*u + 192. Factor 0 - 4/3*o**3 - o + 13/6*o**2 + 1/6*o**u.
o*(o - 6)*(o - 1)**2/6
Let u(m) be the first derivative of m**5/480 + 23*m**4/192 + 7*m**3/8 - 21*m**2 - 127. Let d(g) be the second derivative of u(g). Factor d(f).
(f + 2)*(f + 21)/8
Factor -811801/3 - 1/3*p**2 - 1802/3*p.
-(p + 901)**2/3
Let q(z) = -2*z - 14. Let b be q(-9). Suppose n - b*n = a + 10, 2*a + 4*n + 12 = 0. Determine v so that -6*v**3 - 260*v + a*v**3 - 24 + 288*v = 0.
-3, 1, 2
Let h(o) = -270*o**2 - 965*o + 3530. Let f(i) = -43*i**2 - 161*i + 588. Let d(z) = 25*f(z) - 4*h(z). Factor d(t).
5*(t - 29)*(t - 4)
Factor -2 + 142/9*g - 110/9*g**2 - 14/9*g**3.
-2*(g - 1)*(g + 9)*(7*g - 1)/9
Factor 2/3*q**2 - 176/3 + 2*q.
2*(q - 8)*(q + 11)/3
Suppose 3*y - 293 = -281. Suppose c - 554 = -5*u + 5*c, 0 = -3*u - 4*c + 326. Factor -108*v**2 - 2*v + u*v**2 - 4 + y*v.
2*(v - 1)*(v + 2)
Suppose -513*v - 132 = -491*v. Let w be 33/99 - 10/v. Let -30/7*k + 27/7 + 3/7*k**w = 0. What is k?
1, 9
Let m(w) be the third derivative of 1/105*w**7 + 1/10*w**6 + 11/12*w**4 - 1/168*w**8 - 7/15*w**5 - w**3 + 0 + 79*w + 2*w**2. What is k in m(k) = 0?
-3, 1
Let o = -12536 - -1504321/120. Let s(a) be the second derivative of 0*a**2 + 4*a + 0 + o*a**5 + 0*a**4 + 0*a**3. Factor s(v).
v**3/6
Let c = 45110 - 90215/2. Find z, given that -1/2*z**3 - c*z**2 + 5/2 + 1/2*z = 0.
-5, -1, 1
Let j(m) be the first derivative of -m**8/896 - m**7/560 + m**6/160 - 145*m**2/2 - 104. Let h(s) be the second derivative of j(s). Factor h(d).
-3*d**3*(d - 1)*(d + 2)/8
Factor -1043 + 8*k**4 - 6*k**4 - 968*k - 308*k**3 + 74*k**3 - 960*k**2 + 1043.
2*k*(k - 121)*(k + 2)**2
Let s(u) be the second derivative of u**4/102 - 12*u**3/17 + 128*u**2/17 + 247*u. Find i such that s(i) = 0.
4, 32
Suppose 245*h**2 + 22*h - 292*h**4 - 15*h**3 + 137*h**4 - 165*h**4 - 102*h + 20*h**5 = 0. Calculate h.
-1, 0, 1/2, 16
Let u be (-30048)/15084*15/(-50). Let g = u + 1/419. Determine d, given that g*d**2 - 2/5 - d = 0.
-1/3, 2
Let o(c) = 3*c**2 - c. Let z(s) = 2*s**2 - s. Let l(y) = 5*y**2 - 1. Let x(v) = 2*l(v) + 6*z(v). Let q(n) = -21*o(n) + 3*x(n). Solve q(w) = 0 for w.
-2, 1
Let k(v) = -10*v**4 + 665*v**3 - 607*v**2 - 1247*v + 28. Let o(j) = -5*j**4 + 335*j**3 - 304*j**2 - 624*j + 16. Let n(z) = 4*k(z) - 7*o(z). Factor n(u).
-5*u*(u - 62)*(u - 2)*(u + 1)
Let g(k) be the second derivative of -k**5/30 + 43*k**4/9 + 89*k**3/3 + 1819*k. Factor g(t).
-2*t*(t - 89)*(t + 3)/3
Find n such that 37*n + 85/2*n**2 + 1/2*n**5 + 12 + 11/2*n**4 + 45/2*n**3 = 0.
-4, -3, -2, -1
Let r(h) be the first derivative of -161 + 4/15*h**3 - 16/5*h - 4*h**2 + 1/2*h**4. Let r(s) = 0. Calculate s.
-2, -2/5, 2
Let t(c) be the first derivative of 8/5*c**5 - 1/3*c**6 + 5*c**2 - 2*c**4 - 4*c - 62 - 4/3*c**3. Factor t(v).
-2*(v - 2)*(v - 1)**3*(v + 1)
Factor 5/3*v**3 + 0*v + 1105/3*v**2 + 0.
5*v**2*(v + 221)/3
Let o be (7 - 154/21) + 14/36. Let c(k) be the third derivative of o*k**4 +