 + 3/8*o**3. What is w in x(w) = 0?
-3, 3
Let l(o) = o**2 - 94*o + 5. Suppose 44*x - 35*x = -144. Let u(p) = 4*p**2 - 280*p + 16. Let g(t) = x*l(t) + 5*u(t). Solve g(z) = 0.
-26, 0
Suppose 10 = 2*w + 5*u, 7 = w + 2*u - 0. Suppose 5*n - w = 2*n. Factor 5*t**2 + 49*t - 44*t + 0*t**2 - 5*t**3 - n*t**4.
-5*t*(t - 1)*(t + 1)**2
Let h(y) be the first derivative of -4/5*y**5 + 114 - 2/3*y**6 + 0*y - 4*y**2 + 3*y**4 + 4/3*y**3. What is z in h(z) = 0?
-2, -1, 0, 1
What is u in 100467/2 + 4392*u + 96*u**2 = 0?
-183/8
Let p(r) = 4*r**3 + r**2 + 1. Let x(d) = 27*d**3 - 301*d**2 - 23716*d + 7. Let y(n) = 28*p(n) - 4*x(n). Factor y(l).
4*l*(l + 154)**2
Find q such that 36*q**2 - q**3 + 41 - 317*q + 24*q**2 - 127*q**2 + 318*q + 26 = 0.
-67, -1, 1
Suppose 0 = -1228*n + 2887 - 431. Factor 8/5*p**4 + 0 - 8/5*p**n - 7/5*p + 1/5*p**5 + 6/5*p**3.
p*(p - 1)*(p + 1)**2*(p + 7)/5
Let i(p) be the third derivative of p**5/36 + 320*p**4/9 + 163840*p**3/9 + p**2 - 18. Determine x so that i(x) = 0.
-256
Let z(s) be the second derivative of 5/42*s**7 - 7/6*s**6 - 125/12*s**4 + 40/3*s**3 - 1 + 19/4*s**5 + 10*s - 10*s**2. Find m such that z(m) = 0.
1, 2
Let v(y) be the first derivative of -y**3/3 + 5*y**2 - 13*y + 6. Let l be v(8). Suppose 2 - 5*n - 16*n**l + n**4 + 3*n**2 - 2*n**4 + 17*n**3 = 0. Calculate n.
-2, 1
Let b be 3/(-9)*9 - 87/(-42)*2. Let p(j) be the first derivative of 32/7*j - 10 + 2/21*j**3 + b*j**2. Determine q, given that p(q) = 0.
-4
Let j(z) be the second derivative of -1/24*z**4 + 136*z + 4/3*z**3 + 9*z**2 + 0. Solve j(f) = 0.
-2, 18
Let q = 4 - 2. Let d be (-24 + 33)*(-2 + 32/12). Find i, given that -33*i - 13*i**3 + 52*i**q + d - 13*i**2 + i**3 = 0.
1/4, 1, 2
Let o(z) be the first derivative of 20/9*z**3 + 1/12*z**4 + 54*z + 39/2*z**2 - 15. Factor o(h).
(h + 2)*(h + 9)**2/3
Suppose -54 = -13*t + 4*t. Suppose 0 = -b - t*b + 14. Factor -50 - w**b - 2*w**2 + 26 + 51*w - 3*w**2.
-3*(w - 8)*(2*w - 1)
Let c(u) = 2*u**2 + 4386*u - 4835598. Let m(g) = g**2 - 4*g + 1. Let k(t) = c(t) - 3*m(t). Let k(l) = 0. Calculate l.
2199
Let f(h) be the third derivative of h**6/120 + h**5/60 + 2*h**3/3 + 3*h**2. Let t be f(0). Factor t*p + 5*p - 8*p**2 - 3*p + 2*p**3.
2*p*(p - 3)*(p - 1)
Let p be 1/(26/5494)*1. Let n = -211 + p. Determine m, given that -18/13*m**2 + 0 + 8/13*m**3 + n*m = 0.
0, 1/4, 2
Let t(v) be the second derivative of 2*v**7/21 - 22*v**6/15 + 9*v**5/5 + 119*v**4/3 + 196*v**3/3 - 2527*v. Factor t(h).
4*h*(h - 7)**2*(h + 1)*(h + 2)
Let r(p) be the first derivative of 15/4*p**4 - 39 + 5*p**3 + 30*p - p**5 - 55/2*p**2. Determine i so that r(i) = 0.
-2, 1, 3
Let x(y) = 203 + y**2 + 11*y - 202 - 10*y. Suppose -v = 4*l - 4, v = 3*v. Let i(r) = 4*r**2 + 69*r + 244. Let t(a) = l*x(a) + i(a). Solve t(n) = 0.
-7
Let c = -15 - -21. Suppose 26*k = 30*k + 4*z - 16, 3 = 3*z. Factor -8 + 64/3*f - 10*f**2 - c*f**k.
-2*(f + 3)*(3*f - 2)**2/3
Let n be ((-66)/(-12) - 5)/(2 - 52/39). Factor 9/4*o - 9/4*o**3 + 0 + n*o**4 - 3/4*o**2.
3*o*(o - 3)*(o - 1)*(o + 1)/4
Let x(o) be the first derivative of -3*o**4/20 + 554*o**3/5 - 3306*o**2/5 + 1320*o + 2122. Solve x(a) = 0 for a.
2, 550
Factor 64/5*f + 56/5*f**3 - 124/5*f**2 + 0 + 4/5*f**4.
4*f*(f - 1)**2*(f + 16)/5
Suppose -3 + 11 = 2*m. Suppose -m*u = -8, 0 = n + 3*u - 4*u. Suppose -q + 20*q**n - 7*q + 345*q**3 - 675*q**4 - 12*q = 0. What is q?
-2/9, 0, 1/3, 2/5
Let l(h) be the first derivative of 3/4*h**4 - 7*h**3 + 45/2*h**2 - 51 - 27*h. Determine k, given that l(k) = 0.
1, 3
Find h, given that 85*h**4 - 179*h - 6*h + 190*h**3 + 10*h**2 + 406*h**5 - 95 - 411*h**5 = 0.
-1, 1, 19
Let w = -1908 + 3685. Let j = 1779 - w. Find z such that -1/8*z**4 - 3/8*z - 1/8*z**j + 3/8*z**3 + 1/4 = 0.
-1, 1, 2
Let v be (-13 + 17)/((-4)/(-2)). Suppose 0 = 4*t + 16, v*x + 5*t + 8 + 12 = 0. Solve 48/7*z**3 - 26/7*z**2 - 18/7*z**4 + 4/7*z + x = 0.
0, 1/3, 2
Let t be 380/76 - (1 + (-8)/(-4)). Let b(v) be the second derivative of -16*v + 4/27*v**3 - 1/54*v**4 - 4/9*v**t + 0. Factor b(p).
-2*(p - 2)**2/9
Let f(u) be the third derivative of u**3 + 1/105*u**7 - u**2 + 0 - 2/15*u**5 - 1/30*u**6 + 1/6*u**4 - 42*u. What is z in f(z) = 0?
-1, 1, 3
Factor 0*g**2 - 4*g**2 + 638*g + 904 + 859*g - 2397*g.
-4*(g - 1)*(g + 226)
Suppose 879*r - 882*r = 0. Let s be 68/(-12) + 5 + (6 - r). Determine l, given that -2/3*l + 11/3*l**2 + 0 + s*l**4 - 4/3*l**5 - 7*l**3 = 0.
0, 1/2, 1, 2
Let z(w) be the third derivative of w**5/180 - 157*w**4/72 + 34*w**3 + 5*w**2 + 15. Factor z(p).
(p - 153)*(p - 4)/3
Let n be (-56)/(-84)*((-15)/(-1028))/5. Let u = n - -13873/2570. Suppose 18/5*c**2 + 3/5*c**3 + u*c + 0 = 0. What is c?
-3, 0
Let d be 48/(-10) + (-12)/(-10) - (-372)/93. Let -16/5*n**2 + 0 + d*n**4 - 4/5*n**3 + 0*n = 0. Calculate n.
-2, 0, 4
Let v(d) be the second derivative of d**7/70 - 3*d**6/25 + 39*d**5/100 - 3*d**4/5 + 2*d**3/5 - 1937*d. Factor v(u).
3*u*(u - 2)**2*(u - 1)**2/5
Let q = 1224 - 1224. Let h(p) be the first derivative of -4/3*p**3 + q*p - 3*p**4 + 0*p**2 - 9/5*p**5 - 13. Factor h(g).
-g**2*(3*g + 2)**2
Let v(a) be the first derivative of -2*a**6/3 - 28*a**5/5 + 11*a**4 + 76*a**3/3 - 76*a**2 + 64*a + 643. Factor v(d).
-4*(d - 1)**3*(d + 2)*(d + 8)
Let c(s) be the first derivative of -104*s**3 + 33 + 12/5*s**5 + 64*s**2 + 0*s + 43*s**4. Factor c(u).
4*u*(u - 1)*(u + 16)*(3*u - 2)
Let l be (-8)/12 - (-58314)/594*-3. Let z = -295 - l. Factor -12/11 - 10/11*p + z*p**2.
2*(p - 6)*(p + 1)/11
Factor 348*r**2 - 562*r**3 - 489*r**3 + 1054*r**3 + 13167*r + 163350.
3*(r + 33)**2*(r + 50)
Let d(m) = -2*m**2 + 13*m. Let h = 41 - 36. Let t be d(h). Suppose p**4 + 12*p**4 - 3*p**4 - t*p**3 - 10*p**2 + 9*p**5 + 6*p**5 = 0. What is p?
-1, -2/3, 0, 1
Let i be -2 - 15/((-120)/32). Find p, given that 139*p + 137*p - 6*p**i - 279*p - 3*p**3 = 0.
-1, 0
Let g(n) be the first derivative of 7*n**4/20 + 33*n**3/10 - 3*n**2 + 13*n + 28. Let o(z) be the first derivative of g(z). Suppose o(x) = 0. What is x?
-5, 2/7
Let s(f) be the second derivative of 6/13*f**2 + 0 - 90*f + 5/39*f**3 + 1/78*f**4. What is w in s(w) = 0?
-3, -2
Let w = -92854 + 650004/7. Let -38/7*x**2 - 22/7*x**3 - w*x - 4/7*x**4 - 6/7 = 0. Calculate x.
-3, -1, -1/2
Let w(d) be the first derivative of 0*d - 1/20*d**5 + 0*d**2 - 9/16*d**4 - 26 + 0*d**3. Let w(g) = 0. Calculate g.
-9, 0
Let -155/3*s**2 + 0 - 102*s - 1/3*s**3 = 0. Calculate s.
-153, -2, 0
Suppose -4*w = -9*w + 10. Suppose -w*l + 27 = 4*b - 3*l, 2*l = -5*b + 37. What is k in -8*k**3 - b*k - 18*k**4 - 35*k**2 - 67*k**3 - 27*k**4 + 2*k = 0?
-1, -1/3, 0
Let y(s) be the third derivative of -s**8/336 + 3*s**7/35 - s**6/8 - 17*s**5/30 + 2*s**2 + 276. Determine u, given that y(u) = 0.
-1, 0, 2, 17
Suppose -1232*o + 1229*o + 3*q = -12, 40 = 5*o - q. Find d such that -3/4*d**2 - 33/4*d + o = 0.
-12, 1
Suppose 2*r - z - z = -50, -4*z = 3*r + 68. Let a = r - -26. Let -4*u**a + 13*u**3 + 0*u - 5*u**4 - u + 0*u - 3*u = 0. Calculate u.
-2/5, 0, 1, 2
Suppose -5*b - 52 + 37 = -5*f, 5*f + 3*b - 23 = 0. Factor q**3 + 1/2*q**2 - 5/4*q - q**f + 1/2 + 1/4*q**5.
(q - 2)*(q - 1)**3*(q + 1)/4
Let j = 335064 + -1003823/3. Factor -74/3*t + 1/3*t**2 + j.
(t - 37)**2/3
Let s(z) be the first derivative of -2*z**5/15 - 213*z**4/2 - 30246*z**3 - 3221199*z**2 - 713. Determine k so that s(k) = 0.
-213, 0
Let z(f) = -15*f**2 + 29934*f + 44850125. Let q(l) = -25*l**2 + 59872*l + 89700250. Let v(t) = -4*q(t) + 7*z(t). Solve v(d) = 0 for d.
-2995
Let t = -18301 - -18304. Let b(u) be the first derivative of 5*u**t - 12*u**4 + 27/5*u**5 + 0*u + 20 + 3*u**2. Factor b(c).
3*c*(c - 1)**2*(9*c + 2)
Let m(i) be the third derivative of -i**6/24 - 131*i**5/4 + 1975*i**4/12 - 9058*i**2. Find b, given that m(b) = 0.
-395, 0, 2
Let m(u) be the first derivative of -4*u**3/3 + 104*u**2 - 446. Determine h, given that m(h) = 0.
0, 52
Let l(y) be the first derivative of y**6/320 + y**5/40 + 3*y**4/64 - 5*y**2/2 + 3*y + 90. Let i(v) be the second derivative of l(v). Solve i(b) = 0.
-3, -1, 0
Let o(d) be the third derivative of 0 - 13/36*d**4 - 60*d**2 + 0*d + 14/9*d**3 - 1/90*d**5. Factor o(j).
-2*(j - 1)*(j + 14)/3
Let o(r) be the second derivative of 10*r**5/21 + 9560*r**4/63 + 3821*r**3/63 + 191*r**2/21 + 6024*r. Factor o(t).
2*(t + 191)*(10*t + 1)**2/21
Let b(a) = 33*a**4 - 40*a**3 - 113*a**2 - 231*a - 1