first derivative of 6*u**3 - 2*u**2 + 4*u + 8. Let s(o) = -o**2 + o - 1. Let c(d) = 12*s(d) + x(d). Solve c(r) = 0 for r.
-2, 2/3
Let -16/7*a**3 + 16/7*a**2 + 0 + 4/7*a**5 - 4/7*a**4 + 0*a = 0. Calculate a.
-2, 0, 1, 2
Suppose v - d + 20 = 0, d - 4*d = 2*v + 55. Let f = 25 + v. What is a in -8/5*a**f - 2*a - 2/5 = 0?
-1, -1/4
Let p be (11 + -17)*14/(-3). Let -12*k**4 - k - 2*k**5 + 0*k**4 - 17*k - p*k**3 - 4 - 32*k**2 = 0. Calculate k.
-2, -1
Let s = 79 + -79. Find a, given that 0*a + s*a + 68 + 4*a**2 - 72 = 0.
-1, 1
Factor 38/15*h - 8/15 + 10/3*h**3 - 22/5*h**2 - 14/15*h**4.
-2*(h - 1)**3*(7*h - 4)/15
Factor 50/7*j - 2/21*j**2 + 152/21.
-2*(j - 76)*(j + 1)/21
Let j be -2 - (-1 - (3 - -2)). Let d be 1/(-2) - (-10)/j. Find a such that -3/2*a**4 + 3/4*a**5 + 6*a**d + 3/2 - 21/4*a - 3/2*a**3 = 0.
-2, 1
Let -1/3*t**3 + 1/3*t**2 + 2*t + 0 = 0. Calculate t.
-2, 0, 3
Let l = 263 + -2891/11. Suppose 54*t = 241 - 133. Let -12/11*c**t + 24/11*c + l*c**3 - 16/11 = 0. What is c?
2
Find k such that -17/2*k**2 - 10*k**3 - 2*k**4 + 0 - 2*k = 0.
-4, -1/2, 0
Factor -8*j**4 - 12*j**3 + 22*j + 2*j - 3*j**4 - 4*j**2 - 4*j**3 + 7*j**4.
-4*j*(j - 1)*(j + 2)*(j + 3)
Let u = 132771/8 + -16596. Suppose -3/4*p**3 + 0*p**2 + 3/8 + 3/4*p - u*p**4 = 0. Calculate p.
-1, 1
Let t(n) = -n + 3. Let h be t(1). Suppose -h*m + 18 = 4*m. Factor -11*o**5 - 168*o**4 - 969*o**5 + 32*o**2 + 70*o**m + 74*o**3.
-4*o**2*(5*o - 2)*(7*o + 2)**2
Let s(n) be the third derivative of -n**6/15 + 47*n**5/30 - 8*n**4/3 - 11*n**3/3 - n**2 - 65*n. Factor s(v).
-2*(v - 11)*(v - 1)*(4*v + 1)
Let m(n) be the second derivative of -n**5/15 + 5*n**4/18 - 422*n. Factor m(i).
-2*i**2*(2*i - 5)/3
Let v(r) = r + 1. Let u(h) = -h**2 - 2*h + 2*h**2 - 1 - 2*h**2. Let s(g) = -u(g) + v(g). Factor s(y).
(y + 1)*(y + 2)
Let m(x) be the third derivative of -3/17*x**3 + 0 - 13*x**2 + 1/34*x**4 + 0*x - 1/510*x**5. Let m(b) = 0. What is b?
3
Let o = -1263253/11 - -114959. Solve -o*p**2 - 324/11 - 588/11*p**3 - 10/11*p**5 - 1242/11*p - 124/11*p**4 = 0.
-3, -2/5
Let q(p) be the third derivative of 1/192*p**8 + 0*p**5 + 0 - 26*p**2 + 0*p**4 - 1/240*p**6 + 0*p**3 + 1/168*p**7 + 0*p. Factor q(m).
m**3*(m + 1)*(7*m - 2)/4
Let g(n) be the first derivative of -n**5/20 + n**4/4 + n**3/12 - n**2/2 - 21. Suppose g(o) = 0. Calculate o.
-1, 0, 1, 4
Let z(h) be the first derivative of 3*h**5/35 + 3*h**4/14 - h**3/7 - 3*h**2/7 + 81. Find x such that z(x) = 0.
-2, -1, 0, 1
Let s = -416 - -213. Let m = 2641/13 + s. Factor 0 - 4/13*k**2 - m*k**3 + 0*k.
-2*k**2*(k + 2)/13
Factor 2*k**2 - 40 + 52*k - 10*k**2 + 0 - 4*k**3.
-4*(k - 2)*(k - 1)*(k + 5)
Factor 35/2*n - 1/2*n**2 + 0.
-n*(n - 35)/2
Let n(i) be the third derivative of 0*i + 0 + 0*i**3 - 1/120*i**6 + 1/336*i**8 - 1/105*i**7 + 11*i**2 + 0*i**4 + 1/30*i**5. Factor n(o).
o**2*(o - 2)*(o - 1)*(o + 1)
Let k = 842 - 1679/2. Suppose -k + 5/2*j**2 + 5/2*j - 5/2*j**3 = 0. What is j?
-1, 1
Suppose 0 = 4*k + 2*h, -14*k + 8 = -18*k - 4*h. Solve -1/3*x**4 - 4/3*x - 1/3 - 2*x**k - 4/3*x**3 = 0.
-1
Let z(x) be the second derivative of 3*x**4/4 + 11*x**3 + 121*x**2/2 - 75*x. Factor z(t).
(3*t + 11)**2
Let s(h) = -3*h + 3*h - 2*h - 4 + h. Let r be s(-6). Find x such that 4*x**2 + 6*x - 8*x**r - 4*x + 16 - 14*x = 0.
-4, 1
Let j(f) be the third derivative of f**8/112 + f**7/5 + 61*f**6/40 + 21*f**5/5 + 9*f**4/2 - 12*f**2 + 29*f. Solve j(k) = 0 for k.
-6, -1, 0
Let r be ((-1)/375)/((-116)/290). Let b(j) be the third derivative of 0*j**3 + 0 + r*j**5 + 0*j**4 - 7*j**2 + 1/150*j**6 + 1/525*j**7 + 0*j. Factor b(s).
2*s**2*(s + 1)**2/5
Let v(l) be the third derivative of 0 + 1/84*l**4 + 1/210*l**5 + 0*l + 0*l**3 - 16*l**2. Factor v(c).
2*c*(c + 1)/7
Let y(s) = -4*s**3 + s**2 + 2*s + 2. Let r be y(-1). Solve o**r - 6*o - 16*o**4 + 5*o**5 + 20*o**2 - 17 + 13 = 0 for o.
-1, -1/3, 1, 2
Let w(o) be the first derivative of 519/4*o**4 + 168/5*o**5 + 114*o**2 - 24*o**6 - 3 - 24*o - 222*o**3. Suppose w(q) = 0. What is q?
-2, 1/4, 2/3, 2
Suppose 2*g = -2*y - 4, 3*g + 10 + 11 = 2*y. Determine f so that 8 + 12*f**y - 28*f + 194*f**2 + 0*f**3 - 186*f**2 = 0.
-2, 1/3, 1
Suppose -5*t - 13 + 58 = 0. Let x(i) = 19*i**3 - 3*i**2 + 9*i. Let f(p) = 9*p**3 - p**2 + 4*p. Let y(d) = t*f(d) - 4*x(d). Factor y(z).
z**2*(5*z + 3)
Let t be ((70/(-6))/(-5))/((-6)/(-36)). Find x, given that -49 + x**4 + 22*x**2 + t*x**2 + 49 + 12*x**3 = 0.
-6, 0
Let f(h) = -17*h - 12*h + 8*h**2 + 19 + 2*h. Let b(g) = 2*g**2 - 7*g + 5. Let i(a) = 22*b(a) - 6*f(a). Factor i(v).
-4*(v - 1)**2
Factor -77*v - v**5 - 8*v**4 - 38*v**2 - 8 + 26*v + 23*v - 25*v**3.
-(v + 1)**2*(v + 2)**3
Suppose 2*c + 2*c - 8 = 0. Factor -17*m**3 + 24*m**3 - 5*m**5 + 2*m**4 + 18*m**3 - 7*m**4 - 15*m**c.
-5*m**2*(m - 1)**2*(m + 3)
Let j(y) be the second derivative of -7*y + 3/13*y**3 - 4/195*y**6 - 7/26*y**4 + 0*y**2 + 0 + 8/65*y**5. Find t, given that j(t) = 0.
0, 1, 3/2
Suppose 2*h - x + 4*x = 19, 2*h = -4*x + 22. Let q = 66 - 64. Let 28*r + r**q - h*r**2 + 2*r**2 - 30*r = 0. What is r?
-1, 0
Let z(u) = 6*u. Let w be z(3). Factor -58*d + 13*d**2 - 405 - 32*d - w*d**2.
-5*(d + 9)**2
Let j(z) = z**4 + 1. Let n(f) = -1451*f**4 + 340*f**3 - 20*f**2 - 6. Let p(a) = -6*j(a) - n(a). Determine v so that p(v) = 0.
0, 2/17
Let t(w) be the first derivative of -3/16*w**4 + 30 - 9/8*w**2 - w**3 + 0*w. Suppose t(x) = 0. What is x?
-3, -1, 0
Solve 48/5*x - 12/5*x**3 - 8/5*x**2 + 64/5 - 2/5*x**4 = 0.
-4, -2, 2
Let v(f) = -f**2 - 24*f + 29. Let r be v(-25). Let k(d) be the third derivative of -2*d**2 + 1/120*d**6 + 0 - 1/60*d**5 + 0*d + 0*d**3 + 0*d**r. Solve k(a) = 0.
0, 1
Let q be (2 - (-32)/(-12))/(6 + -8). Find v such that 3/2*v**2 + q*v + 0 = 0.
-2/9, 0
Let d(g) = 0 + 2 - 1. Let v(j) = j**2 - 2*j - 6. Let c = -96 + 92. Let u(n) = c*v(n) - 28*d(n). Factor u(f).
-4*(f - 1)**2
Let q(r) = -7*r**4 + 25*r**3 + 31*r**2 - 77*r - 4. Let i(j) = -8*j**4 + 29*j**3 + 32*j**2 - 76*j - 5. Let f(a) = 4*i(a) - 5*q(a). Suppose f(t) = 0. What is t?
-3, 0, 3
What is y in -3/2*y**3 - 75/2*y**2 + 123*y - 84 = 0?
-28, 1, 2
Let w(m) be the third derivative of 1/36*m**4 + 0*m - 1/270*m**5 - 2/27*m**3 + 2*m**2 + 0. Factor w(l).
-2*(l - 2)*(l - 1)/9
Let n = 84 + -58. Suppose 5*q - n = 9. What is z in -4*z**3 + 20*z**2 - q*z**4 - z**3 + 3*z**3 - z**4 - 2*z**5 - 16 + 8*z = 0?
-2, 1
Let i(t) be the first derivative of t**6/30 + t**5/10 - t**4/12 - t**3/3 + 2*t + 24. Let c(m) be the first derivative of i(m). Factor c(f).
f*(f - 1)*(f + 1)*(f + 2)
Let y(q) = -3*q**3 + 4*q**2 + 7*q + 5. Let a(b) = -2*b**3 + 4*b**2 + 6*b + 4. Let j(z) = 5*a(z) - 4*y(z). Determine f, given that j(f) = 0.
-1, 0
Let c(a) be the first derivative of a**6/10 - 3*a**5/20 - a**4/4 + a**3/2 - 44*a + 19. Let v(q) be the first derivative of c(q). What is f in v(f) = 0?
-1, 0, 1
Let g(s) be the second derivative of s**4/12 - s**3 + 9*s**2/2 + 5*s. Let g(f) = 0. Calculate f.
3
Let i = 7 - 4. Suppose 4*v**2 + 18*v**3 + v - 17*v**i + 2*v = 0. What is v?
-3, -1, 0
Let m be (38 - 39)*(-1 + -1). Let a(z) be the first derivative of -1/18*z**4 + 0*z**m - 2/27*z**3 + 0*z - 1. What is d in a(d) = 0?
-1, 0
Suppose p = 7*p - 66. Let r(v) = -20*v**2 - 24*v. Let x(m) = 61*m**2 + 73*m + 1. Let j(f) = p*r(f) + 4*x(f). Factor j(s).
4*(s + 1)*(6*s + 1)
Let p(o) = -3*o**3 + 10*o**2 + 9*o - 12. Let z(f) = -f**3 + f**2 + f - 3. Let b(l) = -p(l) + 4*z(l). Find m such that b(m) = 0.
-5, -1, 0
Let g(d) = -9*d**2 - 3*d - 7. Let c(b) = 6 + 5*b - 2*b**2 + 10*b**2 - 3*b. Suppose -i = 3*i - 3*x - 40, x - 31 = -5*i. Let o(u) = i*c(u) + 6*g(u). Factor o(f).
2*f*(f - 2)
Let a(w) be the first derivative of 484*w**3/3 + 44*w**2 + 4*w - 116. Suppose a(l) = 0. Calculate l.
-1/11
Find p, given that -41*p - 99*p - 60*p**2 + 5*p**3 - 10*p**3 + 140*p**2 = 0.
0, 2, 14
Let k(s) be the first derivative of s**5/10 + s**4/2 + 5*s**3/6 + s**2/2 + 68. Determine h so that k(h) = 0.
-2, -1, 0
Let c(q) be the second derivative of -7*q**9/3600 + q**8/320 + 13*q**7/4200 + q**6/1200 - q**4/2 + q. Let l(s) be the third derivative of c(s). Factor l(o).
-3*o*(o - 1)*(7*o + 1)**2/5
Suppose -j = -p - 1, 5*p = -4*j + 6*j - 2. Let h(b) be the second derivative of 0 - 1/20*b**5 + 0*b**2 + 1/6*b**3 + p*b**4 - 2*b. Suppose h(d) = 0. Calculate d.
-1, 0, 1
Suppose 0 = -3*g - l + 6*l - 8, l = -g - 8. Let t