 derivative of a**4/15 + 36*a**3/5 - 224*a**2/5 - 719*a + 1. Factor q(d).
4*(d - 2)*(d + 56)/5
Let j = 53/94 + -3/47. Suppose -30*z - 2*y = -33*z + 7, -4*y + 1 = -z. Factor 0 + 3/2*b**2 + 1/2*b + j*b**4 + 3/2*b**z.
b*(b + 1)**3/2
Suppose -72*p**3 + 35*p**4 + 11 + 238*p - 4*p**2 - 164*p + 5*p**4 - 47 - 2*p**5 = 0. What is p?
-1, 1, 18
Let m = 1133/1158 + -28/193. Solve -2 + m*x + 1/6*x**3 + x**2 = 0 for x.
-4, -3, 1
Let f be 2*-1*2/(-4). Let n(b) = b**4 - b**2 - b. Let m(l) = -981*l**3 + 1952*l**3 - 2*l**2 - 3*l - 971*l**3 + 2*l**4. Let y(t) = f*m(t) - 3*n(t). Factor y(c).
-c**2*(c - 1)*(c + 1)
Let s be (1 + 10/(-26))/(4*3/48). Let z(p) be the first derivative of s*p - 2/13*p**4 - 20 - 56/13*p**2 - 62/39*p**3. Factor z(m).
-2*(m + 4)**2*(4*m - 1)/13
Let q(c) = 93*c**2 - 94*c - 342. Let m(p) = -13*p**2 - p + 3. Let n(f) = 21*m(f) + 3*q(f). Factor n(g).
3*(g + 3)*(2*g - 107)
What is s in -4*s**2 + 3*s**2 + 0*s**2 - 45669*s - 14*s**4 + 45671*s - 17*s**3 = 0?
-1, -1/2, 0, 2/7
Let c(n) = -5*n + 35. Let u(i) be the first derivative of 0*i**2 + 31 + i + 1/3*i**3. Let z(o) = -c(o) + 5*u(o). Factor z(v).
5*(v - 2)*(v + 3)
Let j(b) be the second derivative of -b**4/3 + 428*b**3/3 + 5024*b. Determine r, given that j(r) = 0.
0, 214
Let u(n) = -26*n**2 - 1303*n + 324. Let f(j) = j**2 - 2*j + 1. Let k(h) = -6*f(h) - u(h). What is g in k(g) = 0?
-66, 1/4
Let x = -249/31 - -3423/403. Factor -x*u**4 + 4/13*u**3 + 0 + 0*u + 0*u**2 + 2/13*u**5.
2*u**3*(u - 2)*(u - 1)/13
Let k = 226 + -226. Let t be (k + 4)*1/2. Find x such that 0 - 2/3*x**4 - t*x**2 - 10/3*x**3 + 6*x = 0.
-3, 0, 1
Factor 39/8*j + 5 - 1/8*j**2.
-(j - 40)*(j + 1)/8
Let c(f) = -2*f**4 + 6*f**3 + f - 1. Let d(x) = 4*x**5 - 928*x**4 + 58372*x**3 - 317400*x**2 - 8*x + 8. Let y(q) = 8*c(q) + d(q). Factor y(o).
4*o**2*(o - 115)**2*(o - 6)
Let z = 469 - 804. Let s = z + 2015/6. Let 5/6*w**5 + 5*w**3 + 0 + 10/3*w**2 + 10/3*w**4 + s*w = 0. What is w?
-1, 0
Let j(x) be the second derivative of x**4/28 + 36*x**3/7 + 1944*x**2/7 + x + 289. Factor j(q).
3*(q + 36)**2/7
Let h = 86 - 146. Let d = h - -61. Let u(x) = 12*x**3 + 6*x**2 - 9*x. Let s(m) = m**3. Let l(o) = d*u(o) - 9*s(o). Determine z so that l(z) = 0.
-3, 0, 1
Let w be (4/(-6))/(50/(-8025)). Let 0*a**2 + 189*a - w*a + 11858 + 0*a**2 + 226*a + 2*a**2 = 0. What is a?
-77
Let j(i) be the first derivative of 2*i**5/5 + 185*i**4/2 + 16922*i**3/3 - 9021*i**2 - 34596*i - 1873. Suppose j(a) = 0. Calculate a.
-93, -1, 2
Let o(s) = -7*s**2 + 224*s - 241. Let q(g) = -6*g**2 + 228*g - 240. Let x(b) = -3*o(b) + 4*q(b). Factor x(m).
-3*(m - 79)*(m - 1)
Let s(k) be the first derivative of 0*k - 19/9*k**2 - 2/27*k**3 + 34. Factor s(q).
-2*q*(q + 19)/9
Factor 0 + 2/11*n**3 - 2070/11*n + 188*n**2.
2*n*(n - 1)*(n + 1035)/11
Let o(b) be the third derivative of -b**7/210 - 3*b**6/40 - 7*b**5/60 + 15*b**4/8 - 14*b**3/3 + 367*b**2 + 3. Determine u, given that o(u) = 0.
-7, -4, 1
Let y = -1187/16 + 5983/80. Factor -y*u**2 + 12/5*u + 12/5 - 3/5*u**3.
-3*(u - 2)*(u + 1)*(u + 2)/5
Suppose 131*f - f**2 + 123*f + 162*f - 137*f - 2*f**2 - 810 = 0. Calculate f.
3, 90
Let n(u) = 8*u**3 - 55*u**2 + 22*u + 67. Let x(h) = 135*h**3 - 930*h**2 + 375*h + 1140. Let o(f) = -50*n(f) + 3*x(f). Determine s, given that o(s) = 0.
-1, 2, 7
Suppose -32 + q**3 + 12*q**2 - 13 - 3*q**3 + 2*q + 9 - 24 = 0. What is q?
-2, 3, 5
Let t = 1/249599 + 142627/249599. Factor 0 - 9/7*o**2 + 5/7*o**3 + t*o.
o*(o - 1)*(5*o - 4)/7
Let b(s) be the first derivative of 7/4*s**4 - 47/2*s**2 + 58/3*s**3 + 43 - 18*s. Determine j so that b(j) = 0.
-9, -2/7, 1
Let p(z) be the third derivative of -z**5/15 + 82*z**4/3 - 326*z**3/3 + 10*z**2 + 155*z. Factor p(n).
-4*(n - 163)*(n - 1)
Let t = 7/134 + 30/67. Solve 0*k + 2 + t*k**3 - 3/2*k**2 = 0.
-1, 2
Let s(m) = 13*m**3 + 1563*m**2 + 817455*m + 142236648. Let k(x) = 9*x**3 + 1564*x**2 + 817454*x + 142236648. Let d(g) = 3*k(g) - 2*s(g). What is o in d(o) = 0?
-522
Suppose -54*q = -39*q - 30. Suppose 3*h = -4*b + 14, 3*b - q = 9*h - 7*h. Factor -1/7*x**4 + 5/7*x**3 + 0*x**h + 0 + 0*x.
-x**3*(x - 5)/7
Factor 102*n**3 - 1620*n**2 - 1620*n**2 - 7840*n - 2*n**4 + 2232*n**2.
-2*n*(n - 28)**2*(n + 5)
Let j(t) be the third derivative of -2*t**7/105 - 3*t**6/10 - 8*t**5/15 - 1140*t**2. Factor j(z).
-4*z**2*(z + 1)*(z + 8)
Let a(t) = -t**2. Let g be a(1). Let n = 4 - g. Factor n*x - 3*x - 12*x**2 + 2*x**3 + 2*x**3 + 6*x.
4*x*(x - 2)*(x - 1)
Suppose 1 + 0 = 3*n - 5. Let u(a) be the first derivative of 0*a + 0*a**n - 108/5*a**5 - 9*a**4 + 15 - a**3. Factor u(o).
-3*o**2*(6*o + 1)**2
Suppose -z - 31 = -5*m, -4*z = m - 3*m + 16. Let k(o) = 10*o**2 + 44*o. Let x(i) = 9*i**2 + 44*i. Let s(p) = m*x(p) - 5*k(p). Factor s(f).
4*f*(f + 11)
Let a(o) = -6*o**3 - 5*o**2 + 6*o. Suppose 31*j + 50 + 322 = 0. Let f(i) = -15*i**3 - 12*i**2 + 15*i. Let p(w) = j*a(w) + 5*f(w). Factor p(t).
-3*t*(t - 1)*(t + 1)
Let v(p) be the first derivative of 7/19*p**2 + 88 - 8/19*p - 4/57*p**3 - 1/38*p**4. Solve v(h) = 0.
-4, 1
Let w = -23637 + 47283/2. Find o, given that -6*o**2 - w*o + 15 = 0.
-2, 5/4
Let u(z) be the first derivative of 1/8*z**4 - 1/4*z**2 - 1/10*z**5 + 1/6*z**3 + 179 + 0*z. Factor u(o).
-o*(o - 1)**2*(o + 1)/2
Let r = -356 - -422. Suppose -r = q - 68. Determine o so that 1/4*o**q + 1/4 - 1/2*o = 0.
1
Let q(o) be the third derivative of -7*o**7/150 + 19*o**6/300 + o**5/5 - 19*o**4/60 - 11*o**3/30 + 104*o**2. Solve q(w) = 0 for w.
-1, -11/49, 1
Suppose -20 = -18*y + 16. What is w in 29 + 16*w + 3*w**2 - w**y - 5 = 0?
-6, -2
Let s(t) be the second derivative of -7*t**6/360 - t**5/12 - t**4/8 + 203*t**3/6 - 299*t. Let d(u) be the second derivative of s(u). Factor d(j).
-(j + 1)*(7*j + 3)
Let f(y) be the first derivative of -y**5/20 - y**4/4 + 3*y**3/2 - 5*y**2/2 - 40*y + 38. Let g(a) be the first derivative of f(a). Determine u so that g(u) = 0.
-5, 1
Let j be (-113)/(-678) - (-4)/(-24). Factor 1/10*x**3 + 0*x + j + 3*x**2.
x**2*(x + 30)/10
Let s(x) be the first derivative of 6*x - 51/4*x**2 + 47 + 13/2*x**3. Let s(n) = 0. What is n?
4/13, 1
Let u = -10607/2 - -5305. Let j(p) be the first derivative of -u*p - 32 + 1/16*p**4 - 1/2*p**3 + 11/8*p**2. Solve j(v) = 0 for v.
1, 2, 3
Let i(g) be the third derivative of -g**7/735 - g**6/60 - 4*g**5/105 + g**4/3 + 16*g**3/7 + g**2 + 500. Let i(z) = 0. Calculate z.
-4, -3, -2, 2
Let b(r) be the third derivative of -r**7/1050 + 491*r**6/200 - 45264*r**5/25 + 67712*r**4/15 + 5418*r**2. Factor b(g).
-g*(g - 736)**2*(g - 1)/5
Suppose 64850*l - 65134*l + 852 = 0. Determine i so that 0 + 0*i**l - 2/11*i**4 - 12/11*i + 14/11*i**2 = 0.
-3, 0, 1, 2
Suppose 4*u - 5*o = 23, 159*u - 13*o = 154*u + 49. Factor -15*w**3 + w**u + 15/2 - 17/2*w**4 + 31/2*w - 1/2*w**5.
-(w - 1)*(w + 1)**3*(w + 15)/2
Find u, given that 918644 - 105*u - 918650 - 54*u**4 - 30*u**2 + 90*u**2 + 105*u**3 = 0.
-1, -1/18, 1, 2
Let h(z) be the third derivative of -9*z**8/784 + 3*z**7/70 + 19*z**6/140 - 17*z**5/35 + 3*z**4/7 + 1360*z**2. Let h(r) = 0. What is r?
-2, 0, 2/3, 3
Let x(l) = -33*l**2 - 22980*l - 23397. Let p(n) = -3*n**2 - 2089*n - 2126. Let u(z) = 45*p(z) - 4*x(z). Let u(j) = 0. What is j?
-694, -1
Suppose 0 = 4*c - 9*c + 2*r + 90, -4*c + 69 = -r. Factor c*h - 2088*h**2 - 11 + 2098*h**2 + 3.
2*(h + 2)*(5*h - 2)
Let f(u) be the first derivative of 36/5*u**5 - 4*u**2 - 20*u**4 + 225 + 0*u + 52/3*u**3. What is n in f(n) = 0?
0, 2/9, 1
Let l(i) be the second derivative of -i**4/4 - 789*i**3 - 1867563*i**2/2 + 991*i. Factor l(g).
-3*(g + 789)**2
Let l(a) = -2*a**3 - 12*a**2 + 64*a - 68. Let i(b) = b + 601*b**2 - 600*b**2 - 2 - b. Let k(g) = 2*i(g) + l(g). Determine v so that k(v) = 0.
-9, 2
Suppose -1044 = 2*f - z - 1057, -z + 11 = 4*f. Let c(i) be the second derivative of -i + 1/14*i**3 + 0*i**2 - 1/28*i**f + 0. Factor c(q).
-3*q*(q - 1)/7
Let 37/5*u**3 + 9*u**2 + 11/5*u**4 + 1/5*u**5 + 18/5*u + 0 = 0. What is u?
-6, -3, -1, 0
Let a = 1364 - 1358. Factor a*l - 5/3*l**2 + 8/3.
-(l - 4)*(5*l + 2)/3
Let g = 146372/21 - 6970. Let d(c) be the first derivative of g*c**3 + 0*c - 6 + 0*c**2. Suppose d(f) = 0. Calculate f.
0
Let z(u) be the second derivative of 11*u**5/20 + 137*u**4/12 + 82*u**3/3 - 66*u**2 + u - 2551. Let z(b) = 0. What is b?
-11, -2, 6/11
Let n = -169 - -213. Let q(b) = -14*b**4 + 40