 -3/32*i**4 - 10 - u*i + 0*i**3 + 9/16*i**2. Determine o so that c(o) = 0.
-2, 1
Let g(x) = 18*x**2 + 142*x - 13. Let t be g(-8). Let d(a) be the second derivative of 2/3*a**t + 0 - 8/3*a**2 + 1/6*a**4 - 31*a - 1/30*a**5. Factor d(w).
-2*(w - 4)*(w - 1)*(w + 2)/3
Factor 76852*g**3 + 0 - 40*g**2 - 76849*g**3 + 0 + 104*g**2.
g**2*(3*g + 64)
Let u(n) be the first derivative of -n**6/14 + 30*n**5/7 - 2151*n**4/28 + 2300*n**3/7 - 3174*n**2/7 - 1967. Let u(w) = 0. What is w?
0, 2, 23
Suppose m - 48 = -3*m + 3*d, -3*d = 0. Let w be -6 + (14 - m) - (-42)/8. Find z, given that -w*z + 5/4*z**2 + 0 = 0.
0, 1
Let r = 2491/8 + -311. Let k(w) be the third derivative of -17/480*w**6 - 18*w**2 + 9*w**3 - r*w**5 - 1/840*w**7 - 9/8*w**4 + 0 + 0*w. Factor k(b).
-(b - 1)*(b + 6)**3/4
Let 2/13*m**5 + 0 + 396/13*m - 994/13*m**2 - 206/13*m**4 + 802/13*m**3 = 0. What is m?
0, 1, 2, 99
Let w be -15*75/(-125) + 142/(-16). Let r(d) be the first derivative of 1/2*d**3 - 5/4*d**2 - 17 - 1/10*d**5 + w*d**4 + d. Find t, given that r(t) = 0.
-2, 1
Let q be (43/(-903)*9)/(-3 - (-75)/28). Find t, given that -8/3*t - 20/3*t**2 - q*t**3 + 32/3 = 0.
-4, -2, 1
Let x(c) be the second derivative of 3/100*c**5 + 224*c + 33/20*c**4 + 0 + 384/5*c**2 + 144/5*c**3. What is y in x(y) = 0?
-16, -1
Let g(f) be the second derivative of -f**5/60 - 7*f**4/6 - 98*f**3/3 + 15*f**2/2 - f - 2. Let j(k) be the first derivative of g(k). Factor j(s).
-(s + 14)**2
Suppose 3*b = 21 - 15. Suppose m = 2*u + 15 - 22, -b*m - 2 = 2*u. Solve 1/2*l - l**u + 0 + 1/2*l**3 = 0 for l.
0, 1
Let f(k) = 2*k**3 + 11*k**2 - k - 49. Let n be 3 + -9 + 9 + (3 - 10). Let o be f(n). Suppose 288/5*j + 36/5*j**o + 194/5*j**2 + 128/5 + 2/5*j**4 = 0. What is j?
-8, -1
Let c = 27650 - 304134/11. Factor -18/11*j**3 + 2/11*j**5 + 0 + 0*j**2 + 0*j + c*j**4.
2*j**3*(j - 1)*(j + 9)/11
Let f(d) be the first derivative of d**3/9 + 32*d**2/3 + 124*d/3 + 867. Determine k, given that f(k) = 0.
-62, -2
Let v(o) be the second derivative of -o**4/24 - 91*o**3/3 - 363*o**2/4 + 240*o. Factor v(u).
-(u + 1)*(u + 363)/2
Suppose 20 = -26*p + 21*p - 4*q, -20 = 2*p + 4*q. Let n(l) be the second derivative of -8/21*l**3 + 10*l + 0 + 1/3*l**4 + p*l**2. Find s such that n(s) = 0.
0, 4/7
Let q(s) be the third derivative of 11*s**5/60 - 167*s**4/24 + 5*s**3 - 18*s**2 - 2. Find k such that q(k) = 0.
2/11, 15
Let s(w) be the first derivative of 5*w**4 - w**5 - 161 + 5/3*w**3 + 0*w - 10*w**2. Factor s(v).
-5*v*(v - 4)*(v - 1)*(v + 1)
Let q be 30 + -11 + 10 + -22 - (-5)/(-1). Factor 6*i + 56/9 - 2/9*i**q.
-2*(i - 28)*(i + 1)/9
Let r(d) be the first derivative of 13*d**3/9 + 3*d**2 + 5*d/3 - 1554. Suppose r(u) = 0. What is u?
-1, -5/13
Let w(n) be the first derivative of -145*n**2 - 147*n - 122*n**2 + 288*n**2 + 138 - n**3. Solve w(j) = 0 for j.
7
Find p, given that 101/5*p - 66/5 - 36/5*p**2 + 1/5*p**3 = 0.
1, 2, 33
Let g(x) be the first derivative of -22*x**6/9 - 89*x**5/15 - x**4/6 + 3320. Suppose g(h) = 0. What is h?
-2, -1/44, 0
Let q(d) = 4*d**3 + 219 + 0*d**3 + 13*d**2 - 20*d + 202 - 409. Let k(n) = -n**3 - n**2 - n. Let u(i) = -6*k(i) - 2*q(i). What is f in u(f) = 0?
-12, 1
Factor -38/11*w + 4/11*w**2 + 90/11.
2*(w - 5)*(2*w - 9)/11
Solve -7*y**4 - 28*y**3 - 9*y**2 - 216 + 6*y**4 - 72*y + 123*y**2 + 3*y**4 = 0 for y.
-1, 3, 6
Let k(x) be the first derivative of x**4/32 + x**3/6 - 51*x**2/16 - 27*x/4 + 556. Let k(l) = 0. Calculate l.
-9, -1, 6
Let t(o) be the third derivative of 0*o + 8/9*o**3 - 15*o**2 + 1/180*o**6 + 1/9*o**5 + 17/36*o**4 + 0. Solve t(f) = 0.
-8, -1
Suppose 0*u + 4*u = 0. Suppose u = 19*i - 78 - 112. Find t, given that -11*t**2 + t**2 - i - 14*t + 17*t + 22*t = 0.
1/2, 2
Let r(s) be the first derivative of s**5/10 + 5*s**4/9 - s**3/3 - 10*s**2/3 - 182*s + 26. Let a(y) be the first derivative of r(y). Solve a(m) = 0.
-10/3, -1, 1
What is m in 266/3*m**5 + 0*m - 16*m**2 + 548*m**4 + 280/3*m**3 + 0 = 0?
-6, -2/7, 0, 2/19
Let a = -59 - -64. Determine j, given that -304 - 35*j**2 + a*j**4 + 304 + 20*j + 10*j**3 = 0.
-4, 0, 1
Let z be (-12)/(12 - 6) - -38. Let 65 - 2*i**2 - z - 29 + 50*i = 0. Calculate i.
0, 25
Let x(v) be the first derivative of 2888*v**5/5 + 2831*v**4 + 21289*v**3/6 - 447*v**2 + 18*v - 632. Factor x(q).
(q + 2)**2*(76*q - 3)**2/2
Let a = -100/33 - -695/66. Let v(u) be the first derivative of 25/4*u**4 - 17 - u**5 + 0*u - 35/3*u**3 + a*u**2. Find o such that v(o) = 0.
0, 1, 3
Let d(h) be the third derivative of 2/3*h**6 + 4 - 22*h**2 + 0*h + 242/3*h**3 + 2/105*h**7 + 26/5*h**5 - 110/3*h**4. Factor d(a).
4*(a - 1)**2*(a + 11)**2
Let u(t) be the second derivative of t**6/195 + 469*t**5/130 + 935*t**4/78 + 467*t**3/39 + 3778*t + 1. Factor u(s).
2*s*(s + 1)**2*(s + 467)/13
Let a(d) be the third derivative of d**7/7140 + d**6/340 + 7*d**5/510 + 49*d**3/6 - 31*d**2 - d. Let j(z) be the first derivative of a(z). Factor j(o).
2*o*(o + 2)*(o + 7)/17
Solve 672/5 - 106/5*v**4 + 312/5*v**3 - 128*v - 128/5*v**2 + 2*v**5 = 0 for v.
-7/5, 2, 6
Let n(d) = -2*d**2 + 859*d + 2. Let l be n(0). Find s such that 16/15 - 56/15*s + 14/15*s**4 + 38/15*s**3 - 4/5*s**l = 0.
-2, 2/7, 1
Let w(n) be the second derivative of -3/26*n**4 + 1/130*n**5 - 135/13*n**2 - 134*n - 27/13*n**3 + 0. Factor w(y).
2*(y - 15)*(y + 3)**2/13
Let s(q) = 5*q**2 - 3*q + 1. Let i(z) = -56*z**2 + 48*z + 89. Let l(a) = 4*i(a) + 44*s(a). Suppose l(g) = 0. What is g?
-5, 20
Let n(r) = -2*r - 1. Let m(b) = 29. Let a(u) = m(u) - 3*n(u). Let w be a(-5). Factor 37 + k**2 + 11 - 6*k - 18*k + w*k**2.
3*(k - 4)**2
Let d be (-22)/(-44)*6*31. Suppose -d*y = -269 - 10. Suppose 2/3*l**4 + 0*l + 0 + 0*l**2 - 8/3*l**y = 0. What is l?
0, 4
Solve 38*i - 20 + 0 - 2*i**2 - 75 - 61 - 20 = 0 for i.
8, 11
Let k = 5280 + -5274. Let z(g) be the first derivative of -k + 0*g**2 - 5/2*g**4 + 0*g + 1/2*g**5 + 0*g**3. Factor z(y).
5*y**3*(y - 4)/2
Let l(x) be the first derivative of 0*x**2 + 0*x + 1/4*x**4 - 1/15*x**5 + 36 - 2/9*x**3. Let l(r) = 0. Calculate r.
0, 1, 2
Factor -1405/4*b + 705/2 - 5/4*b**2.
-5*(b - 1)*(b + 282)/4
Let s(v) be the third derivative of 0 + 66*v**2 + 5/3*v**3 + 1/30*v**5 + 0*v + 1/2*v**4. What is l in s(l) = 0?
-5, -1
Let z(g) be the first derivative of -g**9/4536 + g**8/630 - g**7/252 + g**6/270 - 27*g**3 - 64. Let x(a) be the third derivative of z(a). Factor x(f).
-2*f**2*(f - 2)*(f - 1)**2/3
Let h(i) be the third derivative of i**7/630 + i**6/180 - 2*i**5/5 - i**4/12 - 13*i**3/2 - i**2 + 4*i. Let n(v) be the second derivative of h(v). Factor n(a).
4*(a - 3)*(a + 4)
Let d be 10/(-250)*(4/20 + 333/(-540)). Let j(u) be the third derivative of 0 - d*u**5 + 0*u + 15*u**2 + 0*u**3 + 5/24*u**4. Find c such that j(c) = 0.
0, 5
Let q = -44/13595 + 40873/27190. Suppose -1/2*d**5 + 0 + d**4 - 4*d**2 + 2*d + q*d**3 = 0. Calculate d.
-2, 0, 1, 2
Let m(z) be the second derivative of 2/27*z**4 + 2/9*z**3 - 5/9*z**2 + 37*z + 1/135*z**6 - 1/15*z**5 + 0. Factor m(v).
2*(v - 5)*(v - 1)**2*(v + 1)/9
Let b(l) be the second derivative of -l**6/75 - 89*l**5/50 - 26*l**4/3 - 172*l**3/15 - l - 2694. Find c, given that b(c) = 0.
-86, -2, -1, 0
Suppose 42*n - 1874 + 194 = 0. Let -8*d**2 - 25*d**2 + 30*d + 7*d**3 - n*d = 0. What is d?
-2/7, 0, 5
Let d(z) be the third derivative of 19*z**6/300 + 69*z**5/50 + 137*z**4/15 - 4*z**3 - 2133*z**2. Determine l so that d(l) = 0.
-6, -5, 2/19
Let n(z) = -z**2 - 2*z + 6. Let i(v) = 7*v**2 + 242*v + 868. Let m(p) = i(p) + 6*n(p). Factor m(b).
(b + 4)*(b + 226)
Suppose 2*a = 3*s - 214, -4*a + 1573 - 1941 = -5*s. Factor -16*j**5 - s*j**4 - 37/4*j**2 + 0 - 3/4*j - 39*j**3.
-j*(j + 3)*(4*j + 1)**3/4
Let j be 11 - (3*-4)/3. Suppose -j = 3*k, -5*k - 14 - 8 = l. Determine h, given that -9*h - 107*h**4 + 57*h**4 - 15*h**2 + l*h + 38*h**4 + 33*h**3 = 0.
-1/4, 0, 1, 2
Factor 11352/5*u**2 - 6678588/5 + 4/5*u**4 - 29584*u + 432/5*u**3.
4*(u - 21)*(u + 43)**3/5
Suppose 370 + 1223*t + 80 + 1226*t - 2447*t - 450*t**2 - 2*t**3 = 0. What is t?
-225, -1, 1
Let a(n) be the second derivative of -n**4/20 + 163*n**3/5 - 79707*n**2/10 + 54*n - 17. Factor a(u).
-3*(u - 163)**2/5
Determine k, given that 1612/3*k**4 + 20*k**5 + 5476/3*k**2 - 7072*k + 2704/3 + 3788*k**3 = 0.
-13, -2, 2/15, 1
Let d be (-25718)/(-5082) - 16/264. Factor 26/5*f**4 + 0 + 30*f**2 + 22*f**3 + 0*f + 2/5*f**