 -4*n + 8 = -0. What is h in -h**4 + 35*h**n - h - 34*h**2 + h**3 + 0*h = 0?
-1, 0, 1
Let c(a) = 4*a**2 + 5*a. Let y(b) = -b + 1. Let f be y(3). Let z(u) = -2*u**2 - 2*u. Let x(h) = f*c(h) - 5*z(h). Factor x(o).
2*o**2
Suppose 35*i**2 + 29*i - 25*i**2 + 6*i + 105*i**2 + 5*i**3 + 75*i = 0. What is i?
-22, -1, 0
Let p(j) be the first derivative of j**3/7 + 171*j**2/7 + 9747*j/7 + 307. Factor p(z).
3*(z + 57)**2/7
Suppose 28*i - 24*i - 1732 = 0. Find x, given that -20*x**2 - 15*x**4 + 433 + 40*x**3 - i = 0.
0, 2/3, 2
Let k(f) be the third derivative of -f**8/5040 + f**7/504 - 7*f**6/1080 + f**5/120 + 13*f**3/6 + 4*f**2. Let i(r) be the first derivative of k(r). Factor i(y).
-y*(y - 3)*(y - 1)**2/3
Let a(j) = -14*j**3 - 36*j**2 - 88*j - 56. Let z(g) = -9*g**3 - 24*g**2 - 58*g - 37. Let f(h) = 5*a(h) - 8*z(h). Let f(w) = 0. What is w?
-2
Let h = 2165 + -8645/4. Factor -3/4 + h*p - 15/4*p**3 + 3/4*p**2.
-3*(p - 1)*(p + 1)*(5*p - 1)/4
Suppose 5*x = 56 - 46. Let o = 492/3367 - -2/259. Factor o*g + 30/13*g**3 + 0 + 8/13*g**5 + 14/13*g**2 + x*g**4.
2*g*(g + 1)**3*(4*g + 1)/13
Let r = 1313 - 157559/120. Let h(j) be the third derivative of 0*j + 0*j**7 + 0*j**5 + 1/672*j**8 + 6*j**2 - r*j**6 + 0*j**3 + 0 + 1/48*j**4. Factor h(l).
l*(l - 1)**2*(l + 1)**2/2
Determine c so that 5*c**3 - 4*c - 10*c - 10*c**2 - 907 + 937 - 11*c = 0.
-2, 1, 3
Let d(o) be the second derivative of o**5/10 - o**4/6 - 2*o**3 + 2*o - 5. Suppose d(s) = 0. What is s?
-2, 0, 3
Let i be (90/4)/(-15)*(-16)/6. Let f(n) be the third derivative of -2*n**2 + 0 - 1/18*n**3 + 1/360*n**6 + 0*n - 1/72*n**i + 1/180*n**5. Factor f(v).
(v - 1)*(v + 1)**2/3
Let p(j) be the first derivative of -j**5/25 - 11*j**4/20 + 252. Find k such that p(k) = 0.
-11, 0
Factor 1/5*g**2 + 38/5 - 39/5*g.
(g - 38)*(g - 1)/5
Let w(m) = m**2 - 4. Let t be w(0). Let o = 0 - t. Let 3*l**2 + 3*l**2 - 4*l**2 + o*l = 0. What is l?
-2, 0
Factor 2*x**2 - 66 + 44*x + 19 + 36 + 35 + 18.
2*(x + 1)*(x + 21)
Let y(f) be the first derivative of -6644672*f**4 - 70688*f**3 - 282*f**2 - f/2 + 823. Find j such that y(j) = 0.
-1/376
Let x = 127 - 15. Suppose -3*f = -5*n + x, 3*f = 5*n - f - 116. Find z, given that 8*z**5 + 4*z**2 - 3*z + 0*z**2 + 12*z**3 - z - n*z**4 = 0.
-1/2, 0, 1
Let r be 7/(-21)*2/2*30/(-8). Let 5/2*z**4 - 5/4*z**5 + 0 + r*z - 5/2*z**2 + 0*z**3 = 0. What is z?
-1, 0, 1
Let x = -761/6 + 127. Let b(w) be the first derivative of -3 + 0*w**2 - 1/3*w**3 - 3/5*w**5 + 0*w - x*w**6 - 3/4*w**4. Factor b(c).
-c**2*(c + 1)**3
Determine s so that 47/4*s + 0 - 1/8*s**2 = 0.
0, 94
Let h(c) be the second derivative of -c**7/315 + c**6/180 + c**5/90 - c**4/36 - 4*c**2 - 8*c. Let x(p) be the first derivative of h(p). Factor x(s).
-2*s*(s - 1)**2*(s + 1)/3
Let p(t) be the third derivative of t**8/20160 - t**6/180 + 2*t**5/15 + 18*t**2. Let r(j) be the third derivative of p(j). Factor r(c).
(c - 2)*(c + 2)
Let l(s) be the third derivative of 1/90*s**6 - 1/30*s**5 + 2*s**3 + 0*s - 6*s**2 + 0 - 1/3*s**4. Let o(z) be the first derivative of l(z). Factor o(h).
4*(h - 2)*(h + 1)
Let k(y) be the second derivative of -3*y**5/5 + 22*y**4/3 - 50*y**3/3 + 12*y**2 + 188*y. Factor k(i).
-4*(i - 6)*(i - 1)*(3*i - 1)
Let w(c) be the second derivative of c**5/20 - c**4/8 - 2*c**2 - 19*c. Let v(p) be the first derivative of w(p). Determine h so that v(h) = 0.
0, 1
Let c(m) be the second derivative of m**5/5 + 44*m**4/21 + 94*m**3/21 + 20*m**2/7 + 9*m + 23. Factor c(l).
4*(l + 1)*(l + 5)*(7*l + 2)/7
Factor 1/9*q**2 - 9*q - 82/9.
(q - 82)*(q + 1)/9
Let p(v) be the third derivative of v**7/210 + 17*v**6/120 + 11*v**5/60 - 77*v**4/24 + 8*v**3 + 11*v**2 + v. What is g in p(g) = 0?
-16, -3, 1
Suppose 0 = -3*d - 0*n + 4*n + 43, 3 = -3*n. Suppose -12*c = -d*c + 2. Factor -4/11 - 6/11*j - 2/11*j**c.
-2*(j + 1)*(j + 2)/11
Suppose -5 = -2*a + 1. Solve 0*y + 5*y**a - 4*y - 7*y**3 + 6*y**2 = 0.
0, 1, 2
Suppose -5*m - 40 = -5*k, 2*m + 0 + 4 = -2*k. Let w(b) be the first derivative of 0*b**2 + 0*b + 1/9*b**k + 0*b**4 + 7 - 1/15*b**5. What is c in w(c) = 0?
-1, 0, 1
Suppose 0 - 1/3*n**3 - 5/3*n - 2*n**2 = 0. What is n?
-5, -1, 0
Let o = -248 + 251. Let k(d) be the first derivative of 1/8*d**4 + 0*d**o - 1/5*d**5 + 0*d + 1/12*d**6 - 1 + 0*d**2. Factor k(m).
m**3*(m - 1)**2/2
Let z(s) be the second derivative of -s**7/56 + s**6/20 - s**4/8 + s**3/8 + 27*s. Determine r so that z(r) = 0.
-1, 0, 1
Suppose 4*k - 17 = 6*v - 5*v, -25 = 5*v. Factor -6*f + 2*f + 4*f**k - 3*f**2 - 6*f**2 + 3 - 6*f.
(f - 3)*(f + 1)*(4*f - 1)
Suppose 0 = m - 3*m - 4*s + 12, 4*s = -m + 4. Suppose f = 3*f - m. Factor -3 - 3*d + f*d**2 - 3 + 2*d**2 + 3*d**3.
3*(d - 1)*(d + 1)*(d + 2)
Let f(l) be the third derivative of l**7/42 + 13*l**6/2 + 1521*l**5/2 + 98865*l**4/2 + 3855735*l**3/2 - 69*l**2. Solve f(y) = 0.
-39
Factor -9/4 + 3/2*r + 3/4*r**2.
3*(r - 1)*(r + 3)/4
Let c(p) = -12*p**3 + 76*p**2 + 156*p + 76. Let b(h) = 14*h**3 - 77*h**2 - 156*h - 75. Let u(y) = 4*b(y) + 5*c(y). Let u(n) = 0. Calculate n.
-1, 20
Let v(o) be the second derivative of -o**4/12 + 71*o**3/6 + 36*o**2 + 91*o - 3. Find i such that v(i) = 0.
-1, 72
Let r(q) be the second derivative of 18*q**5/35 - 16*q**4/7 + 85*q**3/21 - 25*q**2/7 - 3*q + 13. Factor r(x).
2*(x - 1)*(6*x - 5)**2/7
Determine f, given that 20*f**2 - 72*f**4 + 18*f**3 + 42*f**4 + 8*f - f**5 + 37*f**4 + 2*f**5 = 0.
-2, -1, 0
Let d(s) be the second derivative of s**5/5 + 257*s**4 + 132098*s**3 + 33949186*s**2 - 500*s. Find f such that d(f) = 0.
-257
Let g(h) be the first derivative of -7*h**3/3 + 13*h**2/2 - 12*h - 5. Let a(d) = d**2 + d + 1. Let r(v) = 2*a(v) + g(v). Solve r(w) = 0 for w.
1, 2
Let m(h) = -24*h**4 + 159*h**3 - 24*h**2 + 24*h. Let f(n) = n**4 - n**3 - n**2 - 2*n. Let t(p) = 12*f(p) + m(p). Solve t(x) = 0 for x.
0, 1/4, 12
Suppose -4 = -4*i + 2*i. Let a = 21 - 21. Factor 1/3*o**i + 2/3*o + a.
o*(o + 2)/3
Suppose 0 = 2*i - r - 20, i + 3*r = 8*r + 10. Suppose i*c - 62 = -42. Factor -2/5*y + 0 + 2/5*y**c.
2*y*(y - 1)/5
Let o(v) be the first derivative of 4*v**6 + 114*v**5/5 + 63*v**4/4 - 13*v**3 - 6*v**2 - 286. Solve o(u) = 0 for u.
-4, -1, -1/4, 0, 1/2
Factor 8/7*p + 0 - 2/7*p**4 - 16/7*p**2 + 10/7*p**3.
-2*p*(p - 2)**2*(p - 1)/7
Factor -36*s**2 - 7*s + 79*s - 107*s**4 - 110*s**4 - 105*s**4 - 8*s**3 + 326*s**4.
4*s*(s - 3)*(s - 2)*(s + 3)
Let d = -7 + 9. Factor 15*u**3 - 20*u**4 - 20*u**5 - 8*u + 25*u**5 + 20*u**d - 12*u.
5*u*(u - 2)**2*(u - 1)*(u + 1)
Let n(z) be the third derivative of -z**5/15 + 7*z**4/24 + z**3/3 - 70*z**2 - 2*z. Suppose n(x) = 0. What is x?
-1/4, 2
Let f(j) be the first derivative of 0*j**2 + 0*j + 3/4*j**4 + j**3 - 56. Factor f(b).
3*b**2*(b + 1)
Let i be (3*7/903)/((-15)/526). Let c = 58/43 + i. Let 2/15*a**2 + 2/5 - c*a = 0. Calculate a.
1, 3
Let t(h) = h**2 + 42*h + 360. Let l be t(-30). Suppose 4/3*z**3 - 8/3*z**2 + 4/3*z**4 + l*z + 0 = 0. What is z?
-2, 0, 1
Let l(g) be the second derivative of -g**4/3 - 208*g**3/3 - 408*g**2 + 51*g. Suppose l(b) = 0. What is b?
-102, -2
Let a(q) be the first derivative of 5*q**4/4 + 35*q**3/3 - 85*q**2/2 + 45*q + 341. Suppose a(m) = 0. What is m?
-9, 1
Let v(s) = 3*s**4 - 10*s**3 - 40*s**2 + 88*s - 43. Let a(b) = 2*b**4 - 10*b**3 - 40*b**2 + 87*b - 42. Let j(l) = -2*a(l) + 3*v(l). Find r, given that j(r) = 0.
-3, 1, 3
Factor -76*f + 54*f**2 + 13 + 11*f**4 - 25*f**4 + 12*f**4 + 3*f**3 + 19 - 11*f**3.
-2*(f - 2)*(f - 1)**2*(f + 8)
Let s be 45 + ((-8)/4 - -2). Suppose 25*d**3 + 18*d**2 + s*d + 36*d**2 + 11 + 6*d**2 - 1 = 0. What is d?
-1, -2/5
Suppose -19*m = -18*m - 4. Let r(a) be the first derivative of -1/2*a**4 + 0*a + m - 2/25*a**5 - 4/5*a**2 - 16/15*a**3. Factor r(x).
-2*x*(x + 1)*(x + 2)**2/5
Factor 65/4*j - 75/2 - 5/4*j**2.
-5*(j - 10)*(j - 3)/4
Suppose 2323 + 941 = 16*p. Let q = -201 + p. Factor -3/2*l - 1 + 2*l**q + 0*l**4 - 1/2*l**5 + l**2.
-(l - 2)*(l - 1)*(l + 1)**3/2
Let y(m) = 32*m**3 - 6*m**2 - 24*m - 2. Let u(a) = 5*a**3 - a**2 - 4*a. Let z(s) = -39*u(s) + 6*y(s). Let z(q) = 0. What is q?
-2, 1, 2
Let n(y) = y**3 + y**2 + y + 1. Let z(m) = -17*m**3 + 58*m**2 - 11*m - 50. Let p(c) = 5*n(c) + z(c). Factor p(q).
-3*(q - 5)*(q - 1)*(4*q + 3)
Let k be 3 + (0 - -4)/(-4). Determine n, given that -k*n**5 + 69*n**2 + 4*n**4 - 37*n**2 - 36*n**2 + 2*n = 0.
-1, 0, 1
Let m(f) = -717