*m(v). Factor x(l).
4*(l - 8)**3*(l + 1)
Let t(a) be the third derivative of -a**9/60480 + a**7/5040 - a**5/480 - a**4/8 + 2*a**2. Let z(v) be the second derivative of t(v). What is d in z(d) = 0?
-1, 1
Let t(n) = -n**2 - 4*n - 1. Let f be ((-12)/20)/(3/15). Let j be t(f). Factor 2/9*g**j + 4/9 - 2/3*g.
2*(g - 2)*(g - 1)/9
Let z(t) = -8*t + 1. Let i be z(1). Let p = 10 + i. Let 2*l**2 - 2*l**3 - 3*l**2 + 3*l**p = 0. What is l?
0, 1
Suppose -3 = 3*p, 0 = m - 0*p + 3*p + 7. Let n = 8 + m. Determine k, given that 2*k**n - 4*k**3 + 3*k**3 - k**4 = 0.
0, 1
Let h(m) = -m**5 - 3*m**3 + 4*m**2 + 6*m + 2. Let a(k) = -4*k**5 + k**4 - 9*k**3 + 12*k**2 + 19*k + 7. Let f(d) = 4*a(d) - 14*h(d). Let f(t) = 0. What is t?
-1, 0, 2
Suppose 4*i = -0*i + 8. Factor 1/3*x**i + 0*x**3 - 1/3*x**4 + 0*x + 0.
-x**2*(x - 1)*(x + 1)/3
Let m(v) = 4*v**4 + 3*v**3 - 3*v**2 + 3*v + 3. Let d(c) = c**4 + c**3 - c**2 + c + 1. Let t = 41 - 35. Let b = 3 - 5. Let z(g) = b*m(g) + t*d(g). Factor z(n).
-2*n**4
Let q = 137 - 3424/25. Let p(f) be the second derivative of 0 - 1/150*f**6 - 2/15*f**3 - 1/10*f**4 - 1/10*f**2 - q*f**5 + 3*f. Find c, given that p(c) = 0.
-1
Let w(r) = -6*r + 36. Let t be w(6). Let k(g) be the third derivative of -1/18*g**3 + t + 0*g - 1/180*g**5 - 3*g**2 - 1/36*g**4. Factor k(y).
-(y + 1)**2/3
Let v(q) be the third derivative of 2/9*q**3 + 0 + 0*q - q**2 - 1/18*q**4 + 1/180*q**5. Suppose v(w) = 0. Calculate w.
2
Let u(a) be the third derivative of -a**7/630 + a**6/360 + a**5/60 - a**4/72 - a**3/9 - 44*a**2. Find k, given that u(k) = 0.
-1, 1, 2
Suppose -m - 4 = 2*q, -5*q + 6*q = 5*m - 2. Let 2/9*o**2 - 2/9*o**3 + 0 + m*o = 0. What is o?
0, 1
Let o(x) = 6*x + 3. Let t(m) = m + 1. Let d(z) = o(z) + 2*t(z). Let b = 20 - 21. Let s(j) = -j**2 + j + 1. Let h(n) = b*d(n) + 3*s(n). What is p in h(p) = 0?
-1, -2/3
Let s(b) be the second derivative of b**6/90 - b**5/20 + b**4/12 - b**3/18 - 6*b. Find o such that s(o) = 0.
0, 1
Let x = -111 + 114. Let 3/5*l**4 + 9/5*l**2 + 0 - 9/5*l**x - 3/5*l = 0. Calculate l.
0, 1
Let g = 90 - 269/3. Factor 1/3*x**3 - 1/3*x + 1/3 - g*x**2.
(x - 1)**2*(x + 1)/3
Let n(c) be the second derivative of -1/72*c**4 - 4*c + 0*c**3 + 0*c**2 + 0. What is i in n(i) = 0?
0
Let w(s) be the first derivative of 3*s**8/56 + s**7/7 + 7*s**6/60 + s**5/30 + s**2/2 - 1. Let i(u) be the second derivative of w(u). Let i(h) = 0. Calculate h.
-1, -1/3, 0
Let q(f) = f**2 + f + 1. Let o(y) = 2*y**3 + 30*y**2 + 66*y + 66. Let m(b) = o(b) - 12*q(b). Factor m(g).
2*(g + 3)**3
Suppose -4*n + r + 6 = 0, 5*n + 10 = 8*n + 2*r. Let z(f) be the first derivative of 0*f - 1/3*f**3 - f**n + 1. Suppose z(d) = 0. What is d?
-2, 0
Solve 0*v + 8/13*v**2 + 16/13*v**3 + 6/13*v**4 + 0 = 0.
-2, -2/3, 0
Let x be (188/(-60) - -3) + 70/75. Solve 2*v**5 + 0 - x*v - 14/5*v**4 - 6/5*v**3 + 14/5*v**2 = 0.
-1, 0, 2/5, 1
Let m = -1/300 + 451/300. Factor 3/4 - 3/4*s**4 - m*s + 0*s**2 + 3/2*s**3.
-3*(s - 1)**3*(s + 1)/4
Let -2/15*g**2 + 4/15*g**3 + 0 - 2/15*g = 0. What is g?
-1/2, 0, 1
Let -31*r + 2*r**2 - 4*r**3 - 10*r - 34*r**2 - 72 - 43*r = 0. What is r?
-3, -2
Let t(w) be the second derivative of -w**5/10 + w**4/6 + w**3/3 - w**2 + 8*w. Factor t(n).
-2*(n - 1)**2*(n + 1)
Let x(c) be the third derivative of -5*c**8/48 + 3*c**7/14 + 5*c**6/24 - 3*c**5/4 + 5*c**4/12 - c**2. Solve x(s) = 0 for s.
-1, 0, 2/7, 1
Find r, given that 0 + 4/3*r**2 + 0*r - 2/3*r**3 = 0.
0, 2
Suppose -4*a = -3*a - 3. Let g(m) be the second derivative of 0 - 3*m + 3/50*m**5 - 1/10*m**4 - 1/75*m**6 + 0*m**2 + 1/15*m**a. Factor g(l).
-2*l*(l - 1)**3/5
Let q = -103/8 - -563/40. Suppose 2*n**3 - 2*n - 8/5*n**4 + q*n**2 + 2/5 = 0. Calculate n.
-1, 1/4, 1
Suppose 0 - 1/4*l + 1/8*l**4 - 1/8*l**5 + 3/8*l**3 - 1/8*l**2 = 0. Calculate l.
-1, 0, 1, 2
Let i(c) = 5*c**4 - c**3 - 3*c**2 + c + 1. Let f(u) = 4*u**4 - 2*u**3 - 2*u**2 + 2*u. Let l(z) = 3*f(z) - 2*i(z). Find n such that l(n) = 0.
-1, 1
Let o = -5 - -8. Let n be 2 - (9/(-6) + o). Factor -1/2*y + 0 - 1/2*y**4 + n*y**3 + 1/2*y**2.
-y*(y - 1)**2*(y + 1)/2
Let q(x) be the third derivative of x**7/12600 - x**6/3600 - x**5/300 - x**4/4 - 5*x**2. Let a(y) be the second derivative of q(y). Solve a(t) = 0 for t.
-1, 2
Let d = 685 - 1325/2. Solve 3/2*j - 3 + d*j**2 = 0 for j.
-2/5, 1/3
Suppose -3*p = -5 - 4. Factor -4 + p - 4*k + 2*k**2 + 0*k + 3.
2*(k - 1)**2
Let i(x) be the first derivative of -1/7*x**2 - 10/21*x**3 - 4 + 0*x - 2/7*x**4. What is s in i(s) = 0?
-1, -1/4, 0
Let m(h) be the second derivative of -h**7/168 + 13*h**6/720 + h**5/60 + 2*h**4/3 - 2*h. Let x(g) be the third derivative of m(g). Suppose x(q) = 0. What is q?
-2/15, 1
Let o = 72 + -72. Solve 0 - 1/6*p**2 + o*p = 0.
0
Let t(l) be the second derivative of l**5/4 - 5*l**4/4 + 17*l. Factor t(v).
5*v**2*(v - 3)
Let l = -126/5 - -388/15. Factor 0*n + 2/3 - l*n**2.
-2*(n - 1)*(n + 1)/3
Let y(c) be the third derivative of c**8/240 + c**7/525 + 7*c**2. Suppose y(x) = 0. Calculate x.
-2/7, 0
Suppose 4*p - 5*g = -p - 30, 4 = 2*p + 2*g. Let w be (-1 + 9)*p/(-4). Suppose c**3 - 1/2*c**w - 1/2*c**2 + 0 + 0*c = 0. What is c?
0, 1
Let r = -13 - -13. Let a(g) be the second derivative of 0*g**3 + 2*g + 0*g**2 + r*g**5 + 0*g**4 + 0*g**6 + 1/168*g**7 + 0. Factor a(u).
u**5/4
Let j(s) be the second derivative of -s**7/63 - s**6/18 + s**5/60 + 7*s**4/36 + s**3/18 - s**2/3 - 10*s. What is w in j(w) = 0?
-2, -1, 1/2, 1
Let n be 22 + (-4)/(3 + -5). Suppose 4*m + 0*p = p + 12, -p + n = 5*m. Find c such that 0 + 2/3*c**2 + 0*c - 5/3*c**m + c**3 = 0.
-2/5, 0, 1
Suppose 2*u - 2*i = 6, -20*u + 4*i = -22*u. Factor 2/7*w**5 + 0*w**4 - 2/7*w**3 + 0*w + 0*w**u + 0.
2*w**3*(w - 1)*(w + 1)/7
Let b = -100/11 - -499/44. Factor 1/4*f**2 + b + 3/2*f.
(f + 3)**2/4
Let r be 14/(-35) - (-27)/5. Let 3*p - 3*p**3 - 4*p**3 + 7*p**r + p**3 - 4*p**5 = 0. Calculate p.
-1, 0, 1
Let o be 4/14*21/36. Let v(h) be the first derivative of 1/16*h**4 - 1 + 1/8*h**2 + 0*h + o*h**3. Let v(i) = 0. Calculate i.
-1, 0
Let i(a) be the second derivative of 1/20*a**5 + 0*a**2 + 0 - 1/6*a**4 + 1/6*a**3 + 5*a. Factor i(g).
g*(g - 1)**2
Let y be (-12)/(-28) - (-36)/14. Let c(s) be the third derivative of 0 - 1/15*s**3 + 0*s + 1/150*s**5 + 0*s**4 - y*s**2. Find w, given that c(w) = 0.
-1, 1
Let t(n) = n + 22. Let r be t(-16). Let f be 42/9 - 8/r. Factor 12*g**3 - 16/3*g - f*g**4 + 0 - 8*g**2.
-2*g*(g - 2)**2*(5*g + 2)/3
Let b be (-4)/1*35/14. Let h be b/24 + (-3)/(-4). Determine r, given that -2/3*r**2 + 2/3*r**4 + 0 - h*r**5 + 1/3*r**3 + 0*r = 0.
-1, 0, 1, 2
Let w be (3/(-5) - 1)/(-2). Suppose -3*u + 2 = -4. Let -w*o + 2/5*o**u + 0 = 0. What is o?
0, 2
Suppose -6 - 2 = -4*p. Factor -2*t**3 + t**2 + 11*t**p + 8 - 2*t**2 - 16*t.
-2*(t - 2)**2*(t - 1)
Let m = 29 - 24. Let b(s) be the third derivative of 0*s**4 + 1/735*s**7 + 0*s**3 - 1/420*s**6 - s**2 + 0 + 0*s + 0*s**m. Factor b(p).
2*p**3*(p - 1)/7
Solve 4/7*q + 2/7 + 2/7*q**2 = 0.
-1
Let s be 1 + -1 + 0 - -5. Suppose 2*h - 9 = -s. What is z in 14*z**4 + 7*z**5 - 10*z**2 - 5*z**3 - 2*z - 5*z**4 + z**h = 0?
-1, -2/7, 0, 1
Let -1/4*r**3 + 0 + 1/4*r**2 + 0*r = 0. What is r?
0, 1
Factor 0 - 1/8*h + 1/4*h**2.
h*(2*h - 1)/8
Let s(w) be the third derivative of w**8/336 - 5*w**7/378 + w**6/90 + w**5/135 - 44*w**2. Solve s(m) = 0 for m.
-2/9, 0, 1, 2
Let b(y) be the third derivative of y**6/420 - y**5/70 - y**4/21 - 16*y**2. Suppose b(h) = 0. Calculate h.
-1, 0, 4
Let h be (-3)/(1/((-16)/12)). Factor 0*p - p**5 + p - 2*p**2 + p**4 + 3*p**h - 2*p**4.
-p*(p - 1)**3*(p + 1)
Let w(g) be the third derivative of g**6/480 + g**5/60 + g**4/32 - 7*g**2. Let w(h) = 0. What is h?
-3, -1, 0
Suppose -11*i = -4*i - 7. Let r(h) be the first derivative of h**2 - 1/2*h - 5/6*h**3 + i + 1/4*h**4. Solve r(x) = 0.
1/2, 1
Let c(k) be the third derivative of k**5/20 + k**4/4 + k**3/2 + 12*k**2. Let c(u) = 0. Calculate u.
-1
Factor 8*i + 13*i**2 + i**3 - 8*i**2 + 3*i**3 + 7*i**2.
4*i*(i + 1)*(i + 2)
Suppose 1/6*i**3 + 0*i**2 + 1/3 - 1/2*i = 0. Calculate i.
-2, 1
Let b(n) be the third derivative of n**7/240 - n**6/80 + n**5/120 - n**3/3 - 2*n**2. Let s(k) be the first derivative of b(k). Factor s(c).
c*(c - 1)*(7*c - 2)/2
Let p = 603 - 603. Factor 1/2 + y**3 - y + p*y**2 - 1/2*y**4.
-(y - 1)**3*(y + 1)/2
Let a(w) be the first derivative of -2*w**5/45 