 0*f**3 + 0*f - 1/945*f**7 + 0*f**5 + 0. Let d(w) = 0. What is w?
0, 1
Let a be 0/((40/(-30))/((-8)/(-12))). Let m(y) be the first derivative of a*y**3 + 1/2*y**6 + 12/5*y**5 + 0*y**2 + 0*y + 3*y**4 - 8. Factor m(o).
3*o**3*(o + 2)**2
Let j(p) be the second derivative of -p**3 - 6/5*p**5 + 2/5*p**6 + 5/3*p**4 - 1/21*p**7 + 0 + 24*p + 0*p**2. Factor j(r).
-2*r*(r - 3)*(r - 1)**3
Let v(g) be the first derivative of -g**3/9 - 9*g**2/2 - 162. Suppose v(k) = 0. What is k?
-27, 0
Let q(j) be the second derivative of j**4/96 - j**3/24 - 106*j. What is t in q(t) = 0?
0, 2
Determine a, given that 51/4*a + 105/8 - 3/8*a**2 = 0.
-1, 35
Suppose 5*h + 0*h - 20 = 0. Suppose -10 = h*z - 5*o, 0 = -3*z - 4*o - 0 + 8. Determine b so that z*b - b**3 - 1/2*b**4 + 0 + 0*b**2 = 0.
-2, 0
Let p(u) = -176*u + 1058. Let f be p(6). Suppose -12/7*m**3 + 24/7*m**f + 3/7*m**5 + 0*m + 0 - 6/7*m**4 = 0. Calculate m.
-2, 0, 2
Let z(v) = -v**2 + 5*v - 3. Let k be z(3). Suppose 8 = c + 2*h, 5*c = k*h - 1 + 2. Factor -8*n - n**3 - 12*n**2 - c - 2 - 3*n**3 - 4*n.
-4*(n + 1)**3
Let f(w) be the first derivative of 2*w**3/63 - 13*w**2/7 + 343. Factor f(c).
2*c*(c - 39)/21
Let v(j) = -j**4 + 17*j**3 - 5*j - 5. Let u = -5 - -4. Suppose -8*x = -6*x + 10. Let g(o) = o**4 - o**3 + o + 1. Let t(z) = u*v(z) + x*g(z). Factor t(a).
-4*a**3*(a + 3)
Let u(g) be the second derivative of -25*g + 0 + 2/3*g**3 + 1/6*g**4 + 0*g**2. Determine t, given that u(t) = 0.
-2, 0
Factor 52*r + 592*r**2 - 386*r - 598*r**2 - 1 - 219.
-2*(r + 55)*(3*r + 2)
Let o(g) be the third derivative of g**6/30 + 13*g**5/15 + 8*g**4 + 24*g**3 + 2*g**2 - 42. Factor o(d).
4*(d + 1)*(d + 6)**2
Let h = 1861 - 1859. Let v(r) be the third derivative of -1/9*r**3 + 0*r + 17/72*r**4 - 2/9*r**5 + 0 + 5*r**h + 2/45*r**6. Find p such that v(p) = 0.
1/4, 2
Find m such that 1/10*m**2 + 3/5*m - 11/2 = 0.
-11, 5
Let g be ((-12)/(-15))/2*(6 + 4). Suppose -6*j + g*j = 2*j. Factor -2/5 + 4/5*o - 4/5*o**3 + j*o**2 + 2/5*o**4.
2*(o - 1)**3*(o + 1)/5
Let l(u) = -u**2 - 2*u - 1. Let f(b) = -2*b**4 - 12*b**3 - 11*b**2 + 6*b + 7. Let s(i) = f(i) - 3*l(i). Factor s(a).
-2*(a - 1)*(a + 1)**2*(a + 5)
Suppose 19*y - 22 = 16. Suppose -3 = y*q + q, -1 = -s - 3*q. Let -d**2 - 7/2*d**3 - 5/2*d**s + 0*d + 0 = 0. Calculate d.
-1, -2/5, 0
Let f(b) be the second derivative of -b**7/504 + b**5/18 - b**3/3 + 4*b**2 - 6*b + 1. Let q(k) be the second derivative of f(k). Let q(i) = 0. Calculate i.
-2, 0, 2
Let u(g) be the third derivative of g**6/40 - 3*g**5/10 + 11*g**4/8 - 3*g**3 - 144*g**2. What is t in u(t) = 0?
1, 2, 3
Let f be (-1918)/822*(-11)/21. Find x such that -1/9*x**5 + 16/9 - 56/9*x + 73/9*x**2 - 43/9*x**3 + f*x**4 = 0.
1, 4
Let k(b) = 3*b**4 - 27*b**3 - 14*b**2 + 122*b - 64. Let x(z) = -z**4 + 13*z**3 + 6*z**2 - 62*z + 32. Let o(p) = 3*k(p) + 5*x(p). Find r, given that o(r) = 0.
-2, 1, 4
Let f(t) be the first derivative of -2*t**3/3 - 23*t**2 - 58. Find m such that f(m) = 0.
-23, 0
Suppose -2*a - 2*h = -8 - 6, 7 = a - 4*h. Let v be 2/a - (-56)/147. Factor -4/3*c**2 + 0 - v*c**3 + 0*c.
-2*c**2*(c + 2)/3
Let k(x) be the first derivative of -5*x**3/9 + 95*x**2/3 - 680*x/3 - 384. Solve k(r) = 0.
4, 34
Let p be 94/8 + 9/(-6). Let s = p + -361/36. Determine o, given that -s - 2/9*o**4 - 4/9*o**3 + 2/9*o + 2/9*o**5 + 4/9*o**2 = 0.
-1, 1
Let z(f) be the first derivative of 2*f**5/5 - 41*f**4/2 + 292*f**3 - 320*f**2 - 1600*f + 906. Find i, given that z(i) = 0.
-1, 2, 20
Let z(u) = -3*u - 15. Let b be z(-6). Factor -11*o**2 + 9*o**2 - 4*o**3 + 2*o**b.
-2*o**2*(o + 1)
Let s(h) be the second derivative of -h**6/720 - h**5/60 - h**4/16 - h**3 + 14*h. Let y(i) be the second derivative of s(i). Suppose y(q) = 0. What is q?
-3, -1
Let v(t) be the second derivative of -t**3 + 9*t + 0 - 1/160*t**5 + 0*t**2 + 1/960*t**6 - 3/64*t**4. Let q(x) be the second derivative of v(x). Factor q(f).
3*(f - 3)*(f + 1)/8
Determine u so that 2199*u**2 - 2235*u**2 + 136 + 48 + 820*u = 0.
-2/9, 23
Let h(f) be the first derivative of f**6/12 + 11*f**5/10 + 239. What is y in h(y) = 0?
-11, 0
Let p = 149/52 + -36/13. Let h = 2/13 + p. Solve -1/4*y**5 + h*y**3 + 0 + 1/4*y**2 + 0*y - 1/4*y**4 = 0 for y.
-1, 0, 1
Let w(r) = r**3 - 16*r**2. Let q be w(16). Let v = 364 + -362. Let 4/7*x**v - 16/7*x**3 + 0 + q*x = 0. What is x?
0, 1/4
Determine m so that 10/9*m - 2/9*m**4 + 14/9*m**2 - 10/9*m**3 - 4/3 = 0.
-6, -1, 1
Solve -348*k**3 - 23*k - 24*k + 7*k**5 - 291*k**2 - 141*k**4 - 51*k**3 - 7*k + 14*k**5 = 0 for k.
-1, -2/7, 0, 9
Let u be ((-12)/(-356))/((-1)/(-2)). Let f = 766/801 - u. What is d in 2/3*d**3 + 0*d**4 - f*d**5 + 2/9*d**2 + 0*d + 0 = 0?
-1/2, 0, 1
Let u(w) = 9*w + 335. Let h be u(-37). Let s(o) be the first derivative of -1/16*o**2 - 1/4*o + h + 1/24*o**3. Let s(y) = 0. Calculate y.
-1, 2
Let a(l) be the third derivative of -l**6/300 + l**5/30 - l**4/15 - l**2 + 145*l. Factor a(t).
-2*t*(t - 4)*(t - 1)/5
Determine b so that 735*b**4 + 1002*b**3 + 330 + 66*b**2 - 522 - 798*b**2 - 686*b - 202*b + 75*b**5 = 0.
-8, -2, -2/5, 1
Let s = 6 + -4. Suppose -y = -5*r + 5 + 14, -3*r - 15 = -5*y. What is m in 6*m**s - y*m**3 + 6*m + 3*m**4 - 6*m - 2*m - m**4 = 0?
0, 1
Let j = 542/483 + 34/161. Factor 0 - 2*h**4 - 10/3*h**5 + 0*h**2 + j*h**3 + 0*h.
-2*h**3*(h + 1)*(5*h - 2)/3
Let m be ((-248)/64)/((-2)/16). Suppose -8*h = -m*h + 69. Determine o, given that -9/7*o**2 + 6/7*o - 6/7*o**h + 0 = 0.
-2, 0, 1/2
Let r(b) = -b**2 - 9*b + 5. Let p be r(-7). Factor -p*z + 4*z + 3*z**2 + 6*z.
3*z*(z - 3)
Let b(t) = 3*t**2 - 13*t. Let a(x) = -4*x**2 + 15*x. Let m(w) = -2*a(w) - 3*b(w). Factor m(i).
-i*(i - 9)
Let n(y) = y**2 + 44*y - 298. Let l be n(-50). Let b(i) be the second derivative of 0*i**2 - l*i + 1/15*i**4 + 1/50*i**5 + 0 + 1/15*i**3. Factor b(g).
2*g*(g + 1)**2/5
Suppose 11*z + 3 = 10*z. Let r(s) = 15*s**3 - 24*s**2 - 33*s + 9. Let f(j) = -16*j**3 + 23*j**2 + 34*j - 9. Let i(g) = z*f(g) - 4*r(g). Factor i(d).
-3*(d - 3)*(d + 1)*(4*d - 1)
Let a = 353/581 + -3/83. Determine k so that -2/7*k**4 + 6/7*k**2 + 0*k**3 - a*k + 0 = 0.
-2, 0, 1
Factor -7*u**4 + 40*u - 16*u**3 - 6*u**4 - 12*u**4 + 12*u**2 + 21*u**4 - 28 - 4.
-4*(u - 1)**2*(u + 2)*(u + 4)
Let r be ((-4)/6)/(7/(-6) - -1). Suppose r*i + 3 = 15. Let 2/7*h**i + 0 + 2/7*h**2 + 0*h = 0. What is h?
-1, 0
Let f(t) be the first derivative of t**6/270 + t**5/9 + 25*t**4/18 - t**3/3 + 13. Let c(z) be the third derivative of f(z). Determine j so that c(j) = 0.
-5
Let g(x) be the second derivative of 47*x - 1/19*x**2 - 7/38*x**4 + 0 - 8/57*x**3 - 9/95*x**5. Factor g(z).
-2*(2*z + 1)*(3*z + 1)**2/19
Let v(k) be the second derivative of k**7/6300 - k**5/900 - 2*k**3 + 21*k. Let h(i) be the second derivative of v(i). Suppose h(n) = 0. Calculate n.
-1, 0, 1
Let k(b) be the first derivative of b**4/16 + b**3/12 - b**2/8 - b/4 + 138. Factor k(p).
(p - 1)*(p + 1)**2/4
Let r(a) be the third derivative of -a**8/504 - 5*a**7/126 - 53*a**6/360 + 187*a**5/180 + 119*a**4/72 - 49*a**3/9 - 2*a**2 + 404*a. Solve r(c) = 0 for c.
-7, -1, 1/2, 2
Let g be (4 + 2/(-2))*(-4843)/261. Let a = -55 - g. Factor a*s**4 + 4*s**2 - 8/3*s + 2/3 - 8/3*s**3.
2*(s - 1)**4/3
Let o = -58/3 + 125/6. Factor -o*l - 1/2*l**3 - 5/2*l**2 + 9/2.
-(l - 1)*(l + 3)**2/2
Let n(p) = -1027*p + 3083. Let v be n(3). Solve -8/3*r + 2/3*r**2 + v = 0 for r.
1, 3
Let i = 1718/2613 + 8/871. Suppose 2/3 - i*x**2 + 0*x = 0. Calculate x.
-1, 1
Let u(j) = 20*j**2 - 9*j - 20. Let b(m) = 5*m**2 - 2*m - 5. Suppose -2*i - 2 = 2. Let f(g) = i*u(g) + 9*b(g). Factor f(l).
5*(l - 1)*(l + 1)
Let t(c) be the second derivative of -25/36*c**3 + 2 + 0*c**2 - 1/24*c**5 + 3*c - 5/12*c**4. Factor t(p).
-5*p*(p + 1)*(p + 5)/6
Let a(k) be the third derivative of 4/3*k**3 + 0*k**4 - 7*k**2 - 1/30*k**5 + 0*k + 0. Suppose a(w) = 0. What is w?
-2, 2
Determine m so that 5/4*m**3 + 0*m + 0 - 5*m**2 = 0.
0, 4
Let c(r) be the third derivative of -5*r**8/336 - 5*r**7/42 - 7*r**6/24 + r**5/12 + 5*r**4/3 + 10*r**3/3 + r**2 - 426. Find h, given that c(h) = 0.
-2, -1, 1
Let u(k) = -6*k - 9 + 4 - k - 2*k**2 - k**2. Let b(j) = -8*j**2 - 20*j - 14. Let r(y) = -5*b(y) + 14*u(y). Factor r(c).
-2*c*(c - 1)
Let g(u) be the second derivative of u**4/102 - 4*u**3/51 + 3*u**2/17 - 9*u. Factor g(r).
2*(r - 3)*(r - 1)/17
Factor -4/7*o**3 + 24/7*o + 