b - 11, 2*b - 6*b + 13 = 5*c. Let z be c/(-3)*(-14 - -2). Factor 2*o - 3*o**2 + z*o**2 - 2*o**3 - 5*o**2 + 3 + 1.
-2*(o - 1)*(o + 1)*(o + 2)
Let o be 3/(-2)*128/(-12). Determine r so that -52*r**3 - 54*r**2 + 80*r + 92*r**4 - 16 - 50*r**2 + 12*r**2 + o*r**2 - 28*r**5 = 0.
-1, 2/7, 1, 2
Let a(d) be the second derivative of d**5/60 - d**4/9 + 2*d**3/9 - 26*d. Find m, given that a(m) = 0.
0, 2
Suppose -4*y - 2 = -18. Suppose -y*o + 3*o = 0. Factor -2/3*j**3 + o + 1/3*j**2 + 0*j.
-j**2*(2*j - 1)/3
Let v be 4/18 - 1722/(-27). Let j = v - 44. Factor 2 - 3*f**5 + 20*f**2 - 10*f - j*f**3 + f**4 + f**5 + 9*f**4.
-2*(f - 1)**5
What is v in -7*v**2 - 3*v**2 + v**2 + 9*v + 3*v**3 - 3 = 0?
1
Solve 6*q - 52*q**4 + 105*q**3 + 24*q**5 - 38*q**4 - 36*q**2 - 9*q**2 = 0.
0, 1/4, 1/2, 1, 2
Let f be ((-12)/(-66))/(1/22). What is l in -16/3*l**3 - 4/3*l**2 - 5/3*l**f + 0 + 7/3*l**5 + 0*l = 0?
-1, -2/7, 0, 2
Let c(v) = -v**2 - 21*v - 5. Let g be c(-20). Let q be (6/g)/((-3)/(-15)). Solve 1/4*d**3 - 1 - 5/4*d**2 + q*d = 0 for d.
1, 2
Let g(p) = -p**3 + 17*p**2 + 13*p - 5. Let n(k) = k**3 - k**2 - k + 1. Let w(q) = -g(q) - 5*n(q). Determine y so that w(y) = 0.
-2, -1, 0
Let a = -8/3 + 3. Let x(i) = 2*i**2 + 33*i - 17. Let m be x(-17). Factor -a*w**3 + m*w + 0*w**2 + 0 - 1/3*w**4.
-w**3*(w + 1)/3
Let d(h) be the third derivative of h**6/600 - h**5/150 - h**4/40 - 4*h**2. Solve d(k) = 0 for k.
-1, 0, 3
Suppose -7*b**4 + 3*b**5 - 10*b**4 - 2*b**2 + 19*b**4 + 7*b**3 - 10*b**4 = 0. What is b?
0, 2/3, 1
Suppose 0 = -3*l - 3*r + 15, 0 = -3*r - 0*r + 15. Let m be 0/((-3)/(l + -3)). Factor m + 2/5*a - 6/5*a**3 - 4/5*a**2.
-2*a*(a + 1)*(3*a - 1)/5
Let f be (-27)/(-5) + (-2)/5. Let 4*i**3 - f*i**2 + 8 - 3*i**3 + i**3 - i**2 = 0. Calculate i.
-1, 2
Suppose 0 = d - 4*d - 3*f + 15, -4*f + 20 = 0. Suppose -m**3 - 4*m**4 - 8*m**2 + d*m - 4*m + 7*m**4 + 0*m = 0. What is m?
-1, -2/3, 0, 2
Let l(b) be the third derivative of 0 + 1/30*b**5 + 0*b**3 - 1/336*b**8 - 1/105*b**7 + 0*b - 4*b**2 + 1/120*b**6 + 0*b**4. Factor l(v).
-v**2*(v - 1)*(v + 1)*(v + 2)
Let s(w) be the second derivative of -w**4 + 2/15*w**6 - 1/5*w**5 + 4*w**2 - w + 0 + 2/3*w**3. Determine k, given that s(k) = 0.
-1, 1, 2
Suppose 19 - 16*g**5 - 122*g**4 + 62*g**2 - 178*g**3 - 4*g**5 - 55 + 102*g = 0. Calculate g.
-3, -1, 2/5, 1/2
Let v(k) = -k**3 + 1. Let w be v(-1). Let i be w + (2 + -2 - 2). Determine y so that i - 2*y**2 - 2*y + 0 = 0.
-1, 0
Let 16/9*h - 10/9*h**2 + 8/9 = 0. What is h?
-2/5, 2
Let g(t) be the second derivative of -t**5/90 - t**4/6 - t**3 + 7*t**2/2 + 5*t. Let l(k) be the first derivative of g(k). Determine z, given that l(z) = 0.
-3
Let m be 6 + ((-2)/2)/1. Suppose -3*a**3 - 3*a**2 + 0*a**5 + 3*a**5 + 0*a**m + 0*a**2 + 3*a**4 = 0. Calculate a.
-1, 0, 1
Let c = -12473/33 + 378. Let w(r) be the second derivative of 0*r**2 + 3*r + 0 - 1/66*r**4 + c*r**3. Factor w(q).
-2*q*(q - 1)/11
Let v be ((-3)/(-24))/((-15)/(-40)). Factor -v + 0*g + 1/3*g**2.
(g - 1)*(g + 1)/3
Let k(t) be the first derivative of -t**5/10 + t**3/3 - t/2 + 17. Factor k(h).
-(h - 1)**2*(h + 1)**2/2
Let w(c) be the second derivative of -1/12*c**4 - 1/80*c**5 - 1/4*c**2 + 0 + 2*c - 5/24*c**3. Let w(t) = 0. Calculate t.
-2, -1
Let p(a) be the first derivative of -a**4/6 + 2*a**3/9 - a**2/9 - a + 1. Let f(r) be the first derivative of p(r). Factor f(x).
-2*(3*x - 1)**2/9
Let t = 3 - -6. Let t*g**2 - 2 - 2 + g**2 + g + 4*g**3 + g = 0. What is g?
-2, -1, 1/2
Let w(h) be the second derivative of h**8/1344 + h**7/1260 - h**4/12 + 2*h. Let r(f) be the third derivative of w(f). Determine d, given that r(d) = 0.
-2/5, 0
Let v be ((1 - 4) + 73/21)*3. Let q = 0 + 2. Let 6/7*w**q - 4/7 + v*w = 0. What is w?
-2, 1/3
Let f(o) be the second derivative of -2*o**7/21 + 4*o**6/15 - o. Factor f(p).
-4*p**4*(p - 2)
Solve -2*h**2 - 5*h**3 + h**2 + 5*h - 5 + 6*h**2 = 0.
-1, 1
Factor 0*q**2 + 0*q + 3/5*q**4 + 2/5*q**5 + 0 + 1/5*q**3.
q**3*(q + 1)*(2*q + 1)/5
Let x(o) be the third derivative of -7/300*o**6 + 3*o**2 + 0*o**3 + 0*o + 3/50*o**5 + 0 - 1/30*o**4. Determine l, given that x(l) = 0.
0, 2/7, 1
Let p = -12898/335 + -20/67. Let q = p - -39. Solve 0 + q*l**2 - 2/5*l = 0.
0, 2
Let c be (-2)/2 - (-4 - 0). Factor -3*h**c - 4*h**2 - h**3 + 2 + 4*h**3 + 2*h**4.
2*(h - 1)**2*(h + 1)**2
Let p be (3/2)/((-3)/(-6)). Let z(w) be the first derivative of 1/12*w**p + 1 + 1/4*w**2 + 0*w. Suppose z(f) = 0. What is f?
-2, 0
Let t(d) be the third derivative of d**8/11200 - d**7/1050 + d**6/240 - d**5/100 - 5*d**4/24 + 6*d**2. Let h(o) be the second derivative of t(o). Factor h(a).
3*(a - 2)*(a - 1)**2/5
What is n in -4/13 - 2/13*n**2 - 6/13*n = 0?
-2, -1
Let i be (-1)/(-4) - (-14)/56. Find d such that d + 1/2 + i*d**2 = 0.
-1
Let c(m) = -m**2 + m - 13. Suppose 2*s = -0 - 4. Let j(f) = -11. Let p(y) = -1. Let i(u) = -j(u) + 5*p(u). Let v(g) = s*c(g) - 5*i(g). Factor v(x).
2*(x - 2)*(x + 1)
Let l(i) be the third derivative of -4/3*i**3 + 1/15*i**5 + 0*i + 1/6*i**4 - 4*i**2 + 0. Find o, given that l(o) = 0.
-2, 1
Let w = 54 - 50. Let -1/3*h + 0 + 1/3*h**3 - 4/3*h**2 + 4/3*h**w = 0. What is h?
-1, -1/4, 0, 1
Let m(y) = -4*y**4 - 14*y**3 + y**2 + 4*y + 1. Let k(z) = z**4 + z**2. Let q be (-2)/3 - 98/(-21). Let i(l) = q*k(l) - m(l). Solve i(j) = 0.
-1, -1/4, 1/2
Let o = 56 - 219/4. Let i = 11 + -8. Factor 1/4 - 3/2*y + o*y**2 + 3*y**i.
(y + 1)*(3*y - 1)*(4*y - 1)/4
Let o(g) = -g**3 + 3*g + 1. Let f be o(-2). Let n be -4*(2 + (-11)/4). Factor n*j**2 + 6*j - f*j - j - 1.
(j + 1)*(3*j - 1)
Suppose 5 + 5 = -2*h. Let n(x) = -x - 5. Let f be n(h). Factor -2/7*w**3 + 0 + 2/7*w**4 + 0*w + f*w**2.
2*w**3*(w - 1)/7
Let a(b) be the first derivative of -2*b**5/35 - 3*b**4/14 + 8*b**3/21 + 6. Factor a(p).
-2*p**2*(p - 1)*(p + 4)/7
Let x(s) be the third derivative of s**7/756 + s**6/540 - s**5/270 + s**3/6 + 2*s**2. Let h(f) be the first derivative of x(f). Suppose h(n) = 0. Calculate n.
-1, 0, 2/5
Let p(t) be the first derivative of 8/15*t**3 - 1/5*t**2 + 8/25*t**5 - 3/5*t**4 + 0*t - 1/15*t**6 + 3. Factor p(c).
-2*c*(c - 1)**4/5
Factor 1/3*d**2 + 25/3 - 10/3*d.
(d - 5)**2/3
Let z be 4/5*14211/(-36). Let d = z - -319. Find n such that -12/5*n**3 - d*n - 24/5*n**2 - 2/5*n**4 + 0 = 0.
-2, 0
Let j(v) be the second derivative of -v**5/20 - v**4/12 + v**3/6 + v**2/2 - 8*v. Solve j(w) = 0 for w.
-1, 1
Factor 0 - 3/5*a**3 - 3/5*a**2 - 1/5*a - 1/5*a**4.
-a*(a + 1)**3/5
Let k(u) be the first derivative of -u**6/90 + u**5/15 + 7*u**3/3 + 2. Let o(b) be the third derivative of k(b). Factor o(z).
-4*z*(z - 2)
Let j(o) be the first derivative of 0*o**4 + 1/480*o**6 + 2*o**2 - 1/240*o**5 + 1 + 0*o + 0*o**3. Let a(n) be the second derivative of j(n). Factor a(v).
v**2*(v - 1)/4
Suppose 2*w = 7*w - 4*j - 15, 3*w - 2*j = 11. Let l = w - 5. Factor -5*y**l + 5 - 1 - 2*y - y**2.
-2*(y + 1)*(3*y - 2)
Suppose r - 2*r = 4*k + 28, 8 = -2*k. Let p = r + 15. Factor 2/5*j**4 + 2/5*j**2 + 0 + 4/5*j**p + 0*j.
2*j**2*(j + 1)**2/5
Let i be 1 + 22/(-18) - 312/(-108). Factor -2*h + 2/3 - i*h**2.
-2*(h + 1)*(4*h - 1)/3
Let l(z) be the first derivative of z**6/300 - z**4/20 - 2*z**3/15 - z**2 - 3. Let u(w) be the second derivative of l(w). Find t, given that u(t) = 0.
-1, 2
Let d(x) be the first derivative of 4*x**5/25 - 3*x**4/10 + 2*x**3/15 + 5. Let d(w) = 0. Calculate w.
0, 1/2, 1
Let r(g) be the third derivative of g**2 + 0*g - 20/21*g**7 + 1/3*g**4 + 13/10*g**5 - 1/3*g**6 + 0 - 4/3*g**3. Determine d so that r(d) = 0.
-1/2, 2/5
Let l(w) be the first derivative of 2*w**3/3 - 2*w - 5. Suppose l(x) = 0. Calculate x.
-1, 1
Let y be (2/6*0)/2. Determine o so that y*o - 2/9 + 2/9*o**2 = 0.
-1, 1
Let s(y) be the second derivative of -y**6/180 + y**5/30 - y**4/12 + y**3/6 - 4*y. Let l(t) be the second derivative of s(t). Suppose l(b) = 0. What is b?
1
Suppose 4*s + 5*w - 64 = 0, 4*w = 3*s - 53 + 5. Let d be 3 - (-7)/((-42)/s). Factor 0 + 1/6*j**3 - 1/2*j**2 + d*j.
j*(j - 2)*(j - 1)/6
Factor 113*q**2 + 8*q**3 + 8 + 2*q**5 - 109*q**2 - 4 - 8*q**4 - 10*q.
2*(q - 2)*(q - 1)**3*(q + 1)
Let c be -4 + (4 - 4) - -4. Factor c*f**2 + 0 - 1/3*f + 1/3*f**3.
f*(f - 1)*(f + 1)/3
Let a = 82 - 79. Let d(u) be the second derivative of 0*u**2 - 1/6*u**a - 1/20*u**5 + 0 + 1/6*u**4 + 3*u. Determine r so that d(r) = 0.
0, 1
Let p(f) be the second 