 + 4 - 1/10*w**6 + 0*w**2 + 1/15*w**3 + v*w**4. What is t in m(t) = 0?
-1, -1/3, 0, 1
Suppose 34*g = 2*w - 6*w + 100, 5*g = 4*w + 56. Let a = -20/47 + 1052/705. Factor -2/3*t**3 - 8/15*t - 2/15*t**g - a*t**2 + 0.
-2*t*(t + 1)*(t + 2)**2/15
Let f be 2 + (-1 + -5 - 1). Let v(s) = -34*s**2 - 122*s + 28. Let k(c) = -23*c**2 - 81*c + 19. Let z(h) = f*v(h) + 8*k(h). Determine d so that z(d) = 0.
-3, 2/7
What is y in -20/3*y + 25/3*y**2 + 10/3*y**3 - 5 = 0?
-3, -1/2, 1
Suppose 4/3 - 28/9*g**4 - 32/9*g + 8/3*g**3 + 16/9*g**2 + 8/9*g**5 = 0. Calculate g.
-1, 1, 3/2
Suppose -473*a = -118*a. Factor a + 3/4*v**4 - 3/4*v**2 + 3/4*v - 3/4*v**3.
3*v*(v - 1)**2*(v + 1)/4
Let y = 51 + -31. Suppose -2*c = -0*c - y. Let -6*d**3 - 5 + 18*d**4 - c*d**2 - 26*d + 1 - 36*d**2 = 0. Calculate d.
-1, -1/3, 2
Suppose 0 = -5*u - s + 34, 0 = 2*u - 5*s - 5 + 13. Let i(k) = k**2 - 5. Let v be i(3). Factor -7*m**2 - 5*m**v + 5*m**2 + 6*m**2 + u*m**2 - 5.
-5*(m - 1)**2*(m + 1)**2
Let x = -189 + 192. Let k(h) be the first derivative of -5 - h + 1/8*h**4 - 3/4*h**2 + 0*h**x. Suppose k(n) = 0. What is n?
-1, 2
Let m(j) be the third derivative of -j**7/210 + 7*j**6/120 - j**5/10 - 4*j**4/3 + 16*j**3/3 + 8*j**2. What is k in m(k) = 0?
-2, 1, 4
Let m(t) be the third derivative of -t**7/4200 + t**6/900 - 19*t**3/2 + 6*t**2. Let r(j) be the first derivative of m(j). What is k in r(k) = 0?
0, 2
Factor 372*o**5 - 14*o**3 - 371*o**5 + 11*o**3 + 2*o**4.
o**3*(o - 1)*(o + 3)
Suppose -13 + 3 = j. Let a = j - -12. Factor m + 5*m**a + 11*m**2 - 17*m**2.
-m*(m - 1)
Let y = 1087/32160 - 1/2144. Let l(u) be the third derivative of 0*u + 1/12*u**4 + y*u**5 + 0 + 5*u**2 + 0*u**3. Factor l(i).
2*i*(i + 1)
Let u(l) be the third derivative of l**8/1848 - 2*l**7/231 + 4*l**6/165 + l**5/165 - 17*l**4/132 + 8*l**3/33 - 36*l**2 - 2*l. Let u(o) = 0. What is o?
-1, 1, 8
Let b = -75 + 93. Suppose b = -10*h + 58. Factor 64/3*k**3 - 16*k**2 - 1/3 + h*k.
(4*k - 1)**3/3
Suppose 3 = 3*i - 12. Factor -2*j**3 + 10*j**3 - 5*j**5 - 12*j**4 + 4*j**i + 5*j**5.
4*j**3*(j - 2)*(j - 1)
Let s(b) be the first derivative of 2 + 2*b**3 - b**2 - 2*b + 4/5*b**5 + 5/2*b**4. Determine l, given that s(l) = 0.
-1, 1/2
Let o(s) be the second derivative of -s**5/24 + 5*s**4/72 + 5*s**3/9 - 5*s**2/3 - 62*s. Determine m so that o(m) = 0.
-2, 1, 2
Let h = 38 - 41. Let s be (2/h)/((-4)/10). Factor s*y**2 - 8/3*y + 4/3 - 1/3*y**3.
-(y - 2)**2*(y - 1)/3
Find z, given that -1/3*z**4 + 8/3*z + 1/3*z**5 + 1/3*z**2 - 5/3*z**3 + 4/3 = 0.
-1, 2
Let c(l) = -95*l - 380. Let d be c(-4). Let j(p) be the second derivative of -1/8*p**2 + 10*p - 1/48*p**4 + d + 1/12*p**3. What is n in j(n) = 0?
1
Suppose -306 = 8*r + 10*r. Let l = r - -52/3. Factor l*f**2 + 1/3*f**4 + f**3 - f - 2/3.
(f - 1)*(f + 1)**2*(f + 2)/3
Let y(j) be the third derivative of 0*j**3 + 4/315*j**7 + 0*j**4 + 0 + 1/20*j**6 - 28*j**2 + 1/45*j**5 + 0*j. Factor y(v).
2*v**2*(v + 2)*(4*v + 1)/3
Let a = -411 + 416. Let g(s) be the third derivative of 2/21*s**3 + 4*s**2 + 0*s**a + 0 + 1/420*s**6 - 1/28*s**4 + 0*s. Find n, given that g(n) = 0.
-2, 1
Let z(j) be the first derivative of 3*j**2 + 15*j - 9 + 1/5*j**3. Suppose z(g) = 0. What is g?
-5
Let p(v) = 13*v**3 - 17*v**2 - 93*v - 53. Let z(s) = -84*s**3 + 112*s**2 + 604*s + 344. Let w(r) = 32*p(r) + 5*z(r). Factor w(t).
-4*(t - 6)*(t + 1)**2
Suppose -y - 4*i - 1 = 0, 2*i + 4 = -2*i. Let 10*d + 38*d**y - 104*d**3 + 5*d**2 + 51*d**3 = 0. Calculate d.
-2/3, 0, 1
Solve -42/17*c**3 - 264/17*c - 128/17 - 176/17*c**2 - 2/17*c**4 = 0 for c.
-16, -2, -1
Let x(v) be the first derivative of 5*v**4/2 + 86*v**3/3 + 52*v**2 - 56*v + 129. Solve x(z) = 0.
-7, -2, 2/5
Let g = -95809/130 - -737. Let b(r) be the second derivative of 6*r + 0 - g*r**5 + 0*r**4 + 1/13*r**3 + 2/13*r**2. Factor b(x).
-2*(x - 2)*(x + 1)**2/13
Factor -760*u**3 + 15*u**2 + 1513*u**3 - 771*u**3 + 3*u**4.
3*u**2*(u - 5)*(u - 1)
Let f(a) = a**3 + 9*a**2 + 5*a - 22. Let j be f(-8). Let g be 3*j/(-3) + 30/7. Determine w, given that -10/7*w**5 - 2*w**4 + 8/7*w**2 + 0*w + g*w**3 + 0 = 0.
-2, -2/5, 0, 1
Let 3*s - 57 - 30*s**2 - 8*s + 65 - 15*s**2 + 52 - 10*s**3 = 0. Calculate s.
-4, -3/2, 1
What is g in 24*g**2 + 0 + 1/5*g**4 + 21/5*g**3 + 20*g = 0?
-10, -1, 0
Let b(n) be the first derivative of 5 + 1/5*n**2 + 1/10*n**4 + 0*n - 4/15*n**3. Find d such that b(d) = 0.
0, 1
Suppose q + 3*k = 19, -5*q - 4*k + 32 = -8. Let -q*x**5 - 12*x**4 + 2*x**2 - 20*x**3 + 5*x**2 + 4 + 12*x + x**2 + 12*x**3 = 0. Calculate x.
-1, 1
Let g(u) be the first derivative of -2*u**3/9 - 2*u**2 - 6*u - 103. Find s, given that g(s) = 0.
-3
Let b = 22 + -18. Suppose t = -b*l - 18, -l - 12 = -5*t + 3. Factor 5 - 3 - z**3 + t*z**2 + 3*z - 2*z**2.
-(z - 2)*(z + 1)**2
Let h(l) be the second derivative of 1/3*l**3 - 1/10*l**5 + 0 - 1/6*l**4 + 0*l**2 + 1/15*l**6 + 3*l. Factor h(o).
2*o*(o - 1)**2*(o + 1)
Let i(f) be the first derivative of 0*f + 27/5*f**5 + 9/2*f**4 + 14 + f**3 + 0*f**2 + 2*f**6. Solve i(o) = 0 for o.
-1, -1/4, 0
Let x = 4338 - 4338. Determine k so that 0 + 8/19*k**2 + x*k - 2/19*k**4 - 6/19*k**3 = 0.
-4, 0, 1
Suppose 21 + 14 = -5*x. Let r be (-133)/(-49) - 2/x. Find o such that 4/3 - 18*o**4 - 10*o**2 - 14/3*o + 42*o**r = 0.
-1/3, 1/3, 2
Determine q so that 0 - 8/5*q**4 - 52/5*q**2 + 6/5*q**5 - 16/5*q - 10*q**3 = 0.
-1, -2/3, 0, 4
Let v = 60/79 + -6818/8769. Let l = 50/37 + v. Factor -2/9*k**2 - l*k - 2.
-2*(k + 3)**2/9
Let s(l) be the first derivative of -10 + 10*l + 5/2*l**2 - 10/3*l**3 - 5/4*l**4. Factor s(k).
-5*(k - 1)*(k + 1)*(k + 2)
Solve -60/11*a + 2/11*a**3 - 26/11*a**2 + 0 = 0.
-2, 0, 15
Determine q so that -64/3*q - 20/3*q**4 - 112/3*q**3 - 64*q**2 + 64/3 = 0.
-2, 2/5
Let g(i) = i**2 + 2. Let f = -7 - -7. Let h be g(f). Let w**2 + 0*w - 6*w**h - w - 4*w**3 = 0. What is w?
-1, -1/4, 0
Let n(z) = -14*z**2 + 2*z + 4. Let j(o) = 2*o + 7. Let h be j(-3). Let t(x) = -2*x**2 - 5*x**2 - h + 12*x**2 - x. Let i(y) = -3*n(y) - 8*t(y). Factor i(r).
2*(r - 1)*(r + 2)
Let g(s) be the first derivative of -s**6/24 - s**5/4 + 10*s**3/3 + 10*s**2 + 12*s - 84. Factor g(a).
-(a - 3)*(a + 2)**4/4
Let o = -3/2083 - -16703/27079. Find c, given that -18/13*c + o + 4/13*c**2 = 0.
1/2, 4
Let l(r) be the second derivative of r**8/23520 - r**6/630 - 19*r**4/12 + 22*r. Let j(x) be the third derivative of l(x). Solve j(k) = 0.
-2, 0, 2
Let l be (-49)/(-49)*(-1)/(-2). Determine n, given that 1/2*n**3 + 0*n + 0 - l*n**4 + 0*n**2 = 0.
0, 1
Let s(w) be the third derivative of w**8/10080 + w**7/2520 + w**6/2160 + 11*w**3/6 - 6*w**2. Let v(d) be the first derivative of s(d). Factor v(o).
o**2*(o + 1)**2/6
Suppose 2*w + a = -309, -2*w - 615 = 2*w + 5*a. Let y be (-31)/(-35) - (-93)/w. Determine p, given that 8/7 - 8/7*p + y*p**2 = 0.
2
Let j = 21 + -32. Let q = j + 16. Determine p, given that q*p**3 + 2*p - 5*p**3 + 4*p**2 + 0*p**3 - 2*p**3 - 4 = 0.
-1, 1, 2
Let a be -1 - (5/15 - 32/21). Let b(y) be the second derivative of a*y**3 + 0 + 5/21*y**4 + 0*y**2 + 4*y. Suppose b(w) = 0. What is w?
-2/5, 0
Let b(i) be the third derivative of i**8/504 - i**7/35 + i**6/60 + 37*i**5/90 + 2*i**4/3 - 83*i**2 + 3. Solve b(q) = 0 for q.
-1, 0, 3, 8
Let j = 272 + -269. Let c(r) be the first derivative of 0*r + 0*r**2 + 3/4*r**4 - r**j - 3 + 3/5*r**5 - 1/2*r**6. Suppose c(k) = 0. What is k?
-1, 0, 1
Suppose 10*r + 2*r = 72. Suppose k - r*k = 0. Factor 4/7*z**2 + k*z - 2/7*z**3 + 0.
-2*z**2*(z - 2)/7
Let j(y) be the third derivative of 5*y**8/336 - 2*y**7/21 + y**6/6 + y**5/6 - 25*y**4/24 + 5*y**3/3 - 17*y**2 - 2. Factor j(h).
5*(h - 2)*(h - 1)**3*(h + 1)
Let p be (3/(-4))/(5/20) + (-15 - -18). Let a = -56/3 - -233/12. Factor p + 1/4*i**3 + 1/2*i + a*i**2.
i*(i + 1)*(i + 2)/4
Let p(j) be the second derivative of -j**6/180 + j**5/60 + j**4/6 + 20*j**3/3 + 7*j. Let g(s) be the second derivative of p(s). Factor g(h).
-2*(h - 2)*(h + 1)
Let y(g) be the first derivative of g**5/8 + 91*g**4/32 + 89*g**3/12 + 2*g**2 + 729. Factor y(b).
b*(b + 2)*(b + 16)*(5*b + 1)/8
Factor 32*f**4 + 88*f**3 + 46*f + 62*f - 4*f**5 - 160*f**3.
-4*f*(f - 3)**3*(f + 1)
Suppose -5*m = w + 678, -25 = m + w + 113. Let r be 12/m*(-5)/2. Factor 4/9 + 8/9*k**3 + r*k**5 + 4/9*k**2 - 10/9*k - 8/9*k**4.
2*(k - 2)*(k - 1)**3*(k + 1)/9
Let a = 28 - 23. Suppose 3*j + a*j = 24. Facto