1 + 20*w - 2 = 0. What is w?
-1, 2
Suppose -401*l + 404*l - 9 = 0. Let u(n) be the first derivative of -4 + 1/10*n**4 + 4/5*n**2 + 0*n - 8/15*n**l. Factor u(t).
2*t*(t - 2)**2/5
Let y(q) = q**2 + 2*q - 3. Let h be y(-4). Suppose -p - 12 = -h*p. Find t such that 4 - 6*t**3 + 32 + 2*t**3 - p*t + 28*t**2 - 57*t = 0.
1, 3
Suppose -2*z = -4*f - 24, 3*z - 16 = -f + 2*f. Let d be (-15)/f + (-15)/(-60). Factor -3*q**3 - q**4 - 3*q**4 + 2*q**4 - q**d.
-3*q**3*(q + 1)
Let g(z) = -190*z**3 + 4*z**2 - 4*z - 4. Let r(t) = 191*t**3 - 4*t**2 + 3*t + 3. Let y(k) = -3*g(k) - 4*r(k). Solve y(x) = 0 for x.
0, 2/97
Let d(l) = -2*l**4 + l**2 + 1. Let a(g) = 14*g**4 + 82*g**3 + 792*g**2 - 882*g - 6. Let f(u) = -2*a(u) - 12*d(u). Factor f(z).
-4*z*(z - 1)*(z + 21)**2
Let q(x) = -51*x**3 - 76*x**2 - 5*x + 26. Let z(h) = -h**3 - h**2 + 1. Let r(y) = q(y) - 6*z(y). Factor r(d).
-5*(d + 1)**2*(9*d - 4)
Let v(k) be the third derivative of -12*k**2 - 3/784*k**8 + 1/490*k**7 + 0*k**3 + 0 + 0*k**4 + 0*k + 1/140*k**6 + 0*k**5. Determine h so that v(h) = 0.
-2/3, 0, 1
Let d(j) be the third derivative of j**8/168 - j**7/15 + 19*j**6/60 - 5*j**5/6 + 4*j**4/3 - 4*j**3/3 + 7*j**2 - 8. Factor d(i).
2*(i - 2)**2*(i - 1)**3
Find q such that 85 + 2655*q**3 - 2651*q**3 + 4*q**2 - 68*q - 25 = 0.
-5, 1, 3
Let b(q) be the first derivative of -3*q**5/5 - 27*q**4/2 - 84*q**3 + 147*q**2 + 3087*q - 100. Factor b(l).
-3*(l - 3)*(l + 7)**3
Factor -7*a**2 - 58 - 14 - 7 + 6*a**2 + 15 + 16*a.
-(a - 8)**2
Suppose 3*b + 0*b - 49 = -o, 2*o - b - 77 = 0. Let m be (-96)/o*10/(-4). Factor -m*x + 0*x - 5 + 0 + 3*x**2 - 4.
3*(x - 3)*(x + 1)
Suppose -23*l + 16 = -30. Let v(s) be the second derivative of -1/6*s**4 - 1/3*s**3 + 3*s + s**l + 1/10*s**5 + 0. Find m, given that v(m) = 0.
-1, 1
Let k(d) be the first derivative of d**5/50 - d**3/5 - 2*d**2/5 + 21*d + 34. Let u(a) be the first derivative of k(a). Suppose u(h) = 0. What is h?
-1, 2
Let o(b) be the second derivative of 1/3*b**4 + 2/15*b**6 + 2/5*b**5 + 0*b**3 - 4*b + 0*b**2 + 0. Suppose o(r) = 0. What is r?
-1, 0
Let d(j) be the first derivative of j**6/24 - j**5/20 - 9*j**4/8 + 13*j**3/3 - 5*j**2 + 66. Factor d(z).
z*(z - 2)**3*(z + 5)/4
Let u(g) = 3*g**5 + 5*g**4 - 12*g**3 + 4*g. Let r(v) = 8*v**5 + 15*v**4 - 35*v**3 + v**2 + 11*v. Let a(m) = -4*r(m) + 11*u(m). Suppose a(z) = 0. Calculate z.
0, 1, 2
Let d = -499653 - -677030909/1355. Let j = d + -2/271. What is s in -2*s**4 - 2/5*s**5 - 14/5*s**2 - 18/5*s**3 + 0 - j*s = 0?
-2, -1, 0
Let r(b) = -16*b - 237. Let y be r(-15). Let -2/15*w**y + 4/15 - 4/15*w**2 + 2/15*w = 0. What is w?
-2, -1, 1
Let z be 2/10 + 44/5. Factor -4*y**2 + 1 + 4*y**3 - 9 + 3*y**3 + 14*y - z*y**3.
-2*(y - 1)**2*(y + 4)
Let q be (-112)/364*(-3)/(-6)*-5. Solve q*s**2 + 8/13 + 24/13*s = 0.
-2, -2/5
Let w(h) = -11*h**2 - 736*h - 67685. Let t(q) = -10*q**2 - 736*q - 67688. Let j(m) = 9*t(m) - 8*w(m). Suppose j(d) = 0. What is d?
-184
Let 0 + 320/9*j**3 - 46/3*j**2 - 200/9*j**4 + 2*j = 0. What is j?
0, 3/10, 1
Suppose 2*d - 5*z + 3 = -d, 19 = d + 5*z. What is t in 2*t - 4*t + 2*t**5 - 4*t**4 - d*t**2 + 8*t**4 = 0?
-1, 0, 1
Let q = -548 + 548. Let n(k) be the second derivative of 0*k**2 + q*k**4 + 0*k**3 - 1/20*k**5 + 0 - 1/42*k**7 - 1/15*k**6 + 7*k. Factor n(f).
-f**3*(f + 1)**2
Let n(r) be the third derivative of -r**7/420 - 2*r**6/135 - 7*r**5/180 - r**4/18 + r**3/6 + 2*r**2. Let m(a) be the first derivative of n(a). Factor m(k).
-2*(k + 1)**2*(3*k + 2)/3
Suppose -y + 6 = y. Let s = 137 - 410/3. Determine g so that -1/3*g**y + 2/3 + s*g - 2/3*g**2 = 0.
-2, -1, 1
Let h(b) be the first derivative of -b**3/7 + 36*b**2 - 3024*b + 47. Factor h(x).
-3*(x - 84)**2/7
Let g be (-5 - 1)*(-6)/(-6). Let a = -4 - g. Find p such that 4 + 11*p**a - p**2 + 2*p**2 - 7 - 9*p = 0.
-1/4, 1
Let k be 16/168 + (-16)/(-84). Factor -1/7*u**3 - k*u**2 + 0 + 0*u.
-u**2*(u + 2)/7
Let b(v) be the second derivative of 22*v + 0 - 1/8*v**5 - 15/2*v**2 - 55/12*v**3 - 5/4*v**4. Factor b(y).
-5*(y + 1)*(y + 2)*(y + 3)/2
Let z(s) = s**3 + s + 1. Let o(v) = -v**4 + 8*v**3 - v**2 + 6*v + 6. Let g(y) = -o(y) + 6*z(y). Determine k so that g(k) = 0.
0, 1
Let v(l) be the second derivative of 1/7*l**3 + 13*l + 1/7*l**2 + 1/14*l**4 + 1/70*l**5 + 0. Let v(z) = 0. What is z?
-1
Factor 272*j**3 + 278*j**3 - 548*j**3 - 40*j**2.
2*j**2*(j - 20)
Factor 9/4*k + 3/4*k**2 - 15/2.
3*(k - 2)*(k + 5)/4
Factor 2/9*m**5 + 0 + 16/9*m**4 + 20/9*m**2 + 0*m - 38/9*m**3.
2*m**2*(m - 1)**2*(m + 10)/9
Let w(r) be the second derivative of -8*r - 5/24*r**4 + 0 - 5/4*r**2 - 5/6*r**3. Determine f, given that w(f) = 0.
-1
Let t = 34 - 19. What is u in -37 + 37 - t*u**4 + 7*u**2 + 5*u**5 + 13*u**2 = 0?
-1, 0, 2
Let m(o) be the third derivative of 0*o - 1/1575*o**7 + 1/900*o**6 + 0*o**3 + 0 - 8*o**2 + 0*o**4 + 0*o**5. Factor m(g).
-2*g**3*(g - 1)/15
Let a be 62/(-527) - 36/(-17). Let q(y) be the third derivative of -1/84*y**4 + 0 + 5*y**a + 2/21*y**3 - 1/105*y**5 + 0*y + 1/420*y**6. Factor q(u).
2*(u - 2)*(u - 1)*(u + 1)/7
Solve -500/3 - 19/3*y**4 - 1/3*y**5 - 800/3*y - 485/3*y**2 - 139/3*y**3 = 0 for y.
-5, -2
Let h be 1 - 0/4 - -29. Suppose 7*f + 5*z - h = 2*f, f + 3*z - 14 = 0. Determine r, given that r**2 - 8*r + r**4 + 6*r + 2*r**f - 6*r**2 = 0.
-1, 0, 2
Let b be ((-3 + 3)/(-1))/(1/(-1)). Let q(i) be the first derivative of 3*i**2 - 9/5*i**5 + 3*i**3 + b*i + 8 - 3/4*i**4 - 1/2*i**6. Determine n so that q(n) = 0.
-2, -1, 0, 1
Let k = 62497 - 62493. Let 15/2*g - 3/4*g**k - 9/4 + 9/2*g**3 - 9*g**2 = 0. Calculate g.
1, 3
Suppose 2*s + 3 = -s. Let t be s/2*396/(-6). Factor -i**4 + 20*i**4 + 15*i**2 - 7*i**4 - 6*i + t*i**3.
3*i*(i + 1)*(i + 2)*(4*i - 1)
Let g = 108915/7 + -15557. Factor 6/7*a**2 + g - 4*a.
2*(a - 4)*(3*a - 2)/7
Let l(s) be the third derivative of s**10/15120 - s**8/3360 - s**4/4 + 18*s**2. Let n(f) be the second derivative of l(f). Let n(q) = 0. What is q?
-1, 0, 1
Let u(k) be the third derivative of k**5/120 - 3*k**4/8 - 2*k**2 - 5*k. What is c in u(c) = 0?
0, 18
Suppose -18*v - 1060 = -14*v. Let i = v + 1069/4. Factor -27/4 - i*q**2 + 1/4*q**3 + 27/4*q.
(q - 3)**3/4
Let y(p) be the third derivative of 1/15*p**5 + 3*p**2 + 0 + p**4 + 0*p + 6*p**3. Factor y(u).
4*(u + 3)**2
Determine u, given that 14*u**3 - 12*u**4 + u**3 - 16*u**4 + 4*u**5 - 15*u**3 = 0.
0, 7
Let k(q) = q**3 + 3*q**2 - 6*q - 8. Let b be k(-4). Let o(w) be the third derivative of 0*w**4 + 8*w**2 + 0 + 1/120*w**6 + b*w**3 + 0*w**5 + 0*w. Factor o(i).
i**3
Let v(h) be the third derivative of -h**5/15 + 7*h**4/6 + 10*h**3/3 + h**2 - 9. Let g(p) = 2*p**2 - 28*p - 21. Let y(b) = 4*g(b) + 3*v(b). Factor y(f).
-4*(f + 1)*(f + 6)
Let w(y) be the first derivative of 20 + 9/5*y**5 - 2*y - 11/3*y**3 - 15/4*y**4 + 11/2*y**2. Factor w(n).
(n - 2)*(n + 1)*(3*n - 1)**2
Let f(w) be the third derivative of w**6/280 + 153*w**5/140 + 7803*w**4/56 + 132651*w**3/14 + 17*w**2. Determine g so that f(g) = 0.
-51
Let a(k) be the first derivative of -6/7*k**3 - 4/7*k + 30 + k**2 + 5/14*k**4 - 2/35*k**5. Factor a(l).
-2*(l - 2)*(l - 1)**3/7
Let j(m) = -7*m**2 + 10*m - 40. Let o(v) = v**2 + 1. Let u(l) = j(l) + 6*o(l). Let q(a) = a**2 - 9*a + 33. Let p(g) = -4*q(g) - 6*u(g). Solve p(z) = 0 for z.
6
Suppose n = -3*g + 12, 2*n - 6 = 4*n - 4*g. Suppose 2*u + 4 = 4*x, -n*x + 2 = u - 6. Determine b, given that -3/7*b**x - 2/7*b + 0 = 0.
-2/3, 0
Let w(v) be the first derivative of 5/4*v**4 + 0*v**2 + 10/3*v**3 - v**5 + 0*v - 21. Factor w(p).
-5*p**2*(p - 2)*(p + 1)
Let n(p) be the third derivative of -p**7/840 - 7*p**6/80 + 3*p**5/4 - 23*p**4/12 - 2*p**2 - 74*p. What is z in n(z) = 0?
-46, 0, 2
Let p = -358 + 362. Let c(d) be the third derivative of 0*d + 0 - 1/10*d**5 + 3/16*d**p + 2*d**2 + 1/80*d**6 + 0*d**3. Factor c(i).
3*i*(i - 3)*(i - 1)/2
Let h be 10 + ((-252)/12 - -14). Determine v so that -27/5*v**h - 6/5*v + 21/5*v**2 + 0 - 3/5*v**5 + 3*v**4 = 0.
0, 1, 2
Find g, given that -3 - 33/2*g - 27/2*g**2 = 0.
-1, -2/9
Let w(p) be the first derivative of p**4/12 - 21*p**3/2 - 95*p**2/12 - 265. Solve w(l) = 0.
-1/2, 0, 95
Suppose -57 - 39 = -32*q. Let y be 29/2 + (-2)/(-4). Factor 5*f**4 - 52*f - 20*f - 40 + y*f**q - 10*f**2 + 12*f.
5*(f - 2)*(f + 1)*(f + 2)**2
Suppose 15 = 4*y - 1. Suppose -3*z = 3*j - 24, 2*z + y*j = 6*j - 4. Factor -2*w**3 - 4