/5*p + 0 = 0. Calculate p.
-4, -1, 0
Suppose -5*b - 1232 = 4*v, -3*v - 924 = -3*b - b. Let k = v - -308. Find f such that -1/2*f**2 + k + 1/2*f = 0.
0, 1
Find u, given that -51*u**5 - 6*u**3 + u + 7*u + 8*u**2 + 49*u**5 - 8*u**4 = 0.
-2, -1, 0, 1
Let z(c) = -20*c**2 + 45*c + 35. Let u(d) = 25*d**2 - 46*d - 35. Let j(p) = 5*u(p) + 6*z(p). Suppose j(l) = 0. What is l?
-7, -1
Let n = 4410 - 4410. What is f in n - 4/7*f + 2/7*f**3 + 2/7*f**2 = 0?
-2, 0, 1
Let 0*d**2 + 0 + 2/3*d**4 - 1/3*d**5 + 0*d + 8/3*d**3 = 0. Calculate d.
-2, 0, 4
Let i(k) be the first derivative of 5*k**3/3 + 145*k**2/2 - 139. Find a, given that i(a) = 0.
-29, 0
Let j = -2006 + 30091/15. Let s(l) be the second derivative of -1/75*l**6 + 1/20*l**4 - 6*l + 3/100*l**5 + 0*l**2 - j*l**3 + 0. Find k such that s(k) = 0.
-1, 0, 1/2, 2
Suppose 10*b = -3*b. Let h(z) be the second derivative of 4*z + b*z**3 + 0*z**2 + 1/18*z**4 + 0. Factor h(r).
2*r**2/3
Let s(m) be the first derivative of 2*m**5/85 + 7*m**4/17 + 24*m**3/17 + 2*m**2 + 22*m/17 + 16. Factor s(f).
2*(f + 1)**3*(f + 11)/17
Suppose -20*g = -31*g. Let a(m) be the third derivative of 0*m**3 + 1/10*m**5 + m**2 + 1/6*m**4 + g - 1/12*m**6 + 0*m. Solve a(n) = 0 for n.
-2/5, 0, 1
Let v = 109/94 + -31/47. Let v*b - b**2 + 1/2 = 0. What is b?
-1/2, 1
Let a(t) be the first derivative of -14*t**3 - 38*t**2/3 + 32*t/3 + 193. Let a(y) = 0. What is y?
-8/9, 2/7
Let s(m) be the third derivative of m**5/10 + 7*m**4/6 - 5*m**3/3 - 2*m**2 + 19*m. What is d in s(d) = 0?
-5, 1/3
What is i in 48/5*i**2 + 0 + 12*i**3 + 24/5*i**4 + 3/5*i**5 + 0*i = 0?
-4, -2, 0
Suppose 7*t - 19 + 5 = 0. Let j(c) = 3*c**4 + 4*c**3 - 5*c**2 - 2*c + 2. Let m(h) = -h**4 + h**3 + h + 1. Let l(n) = t*m(n) - 2*j(n). Find b such that l(b) = 0.
-1, 1/4, 1
Let r = -30615/2 - -15309. Factor r*f**5 + 0*f**4 + 0 - 3/2*f**3 + 0*f**2 + 0*f.
3*f**3*(f - 1)*(f + 1)/2
Suppose -209 = 4*w - w - 221. What is c in w*c**3 + 12/5*c + 24/5*c**2 + 2/5 + 6/5*c**4 = 0?
-1, -1/3
Suppose -615*b = -626*b. Factor -2/7*u + 2/7*u**3 + b*u**2 + 0.
2*u*(u - 1)*(u + 1)/7
Factor 6/5*i**3 - 144/5*i - 9*i**2 - 12.
3*(i - 10)*(i + 2)*(2*i + 1)/5
Let o(y) be the first derivative of y**4/4 + y**3 - 3*y**2 - 3*y + 2. Let f be o(-4). Factor 9*g**3 + 0*g**3 + 4*g**2 - g**3 + 5*g**f + 2*g**5 - 19*g**4.
g**2*(g - 2)*(g - 1)*(7*g + 2)
Let d(n) be the second derivative of n**6/135 - n**5/30 + n**4/54 + n**3/9 - 2*n**2/9 + 6*n - 16. Factor d(s).
2*(s - 2)*(s - 1)**2*(s + 1)/9
Suppose o - 12*o + 330 = 0. Let m be (3 - o/9)/((-5)/30). Suppose 0*n - 1/4*n**m + 0 - 1/4*n**3 = 0. Calculate n.
-1, 0
Find g, given that 0 + 0*g**2 + 0*g - 3/7*g**4 + 4/7*g**3 - 1/7*g**5 = 0.
-4, 0, 1
Let -30*l**4 - 4*l**3 - 29*l**5 - 24*l**5 + 27*l**5 = 0. What is l?
-1, -2/13, 0
Let t(m) be the second derivative of -2*m**8/105 + 4*m**7/105 - m**6/30 + m**5/60 + m**4/4 - 10*m. Let p(s) be the third derivative of t(s). Factor p(l).
-2*(4*l - 1)**3
Let h = 77 + -75. Solve -4/7*m + 2/7 - 6/7*m**h = 0 for m.
-1, 1/3
Let y(t) be the third derivative of t**5/100 - 31*t**4/4 + 4805*t**3/2 + 31*t**2 - 1. Factor y(m).
3*(m - 155)**2/5
Let h be (0 + 1)/(1/3). Factor 0*v**4 + 3*v**5 + 4*v**h + 9*v**4 - 7*v**3 + 9*v**3.
3*v**3*(v + 1)*(v + 2)
Let y(a) = -a**5 + 28*a**4 - 15*a**3 - 4*a**2 - 4. Let p(j) = j**5 - j**4 - 3*j**3 + j**2 + 1. Let z(b) = 4*p(b) + y(b). Factor z(n).
3*n**3*(n - 1)*(n + 9)
Let h = -437548/15 - -29136. Let r = 34 + h. Factor 4/15 + r*m**2 - 2/5*m.
2*(m - 2)*(m - 1)/15
Let b(a) be the second derivative of a**7/210 - 11*a**6/75 + 121*a**5/100 + 12*a - 1. Factor b(p).
p**3*(p - 11)**2/5
Let q(l) be the second derivative of -3*l**4/14 + 13*l**3/14 - 2*l + 28. Determine f so that q(f) = 0.
0, 13/6
Let -w**3 - 593*w + w**2 + 593*w = 0. Calculate w.
0, 1
Let b(l) be the second derivative of -l**6/30 - l**5/5 - l**4/2 - 2*l**3/3 + 17*l**2/2 + 5*l. Let r(s) be the first derivative of b(s). Factor r(h).
-4*(h + 1)**3
Let a(p) be the first derivative of -p**3/3 + 3*p**2/2 + 28*p - 295. Find u such that a(u) = 0.
-4, 7
Suppose -34 = -5*j - 2*p, 2 = j - 4*p + 6*p. Let a be (-1 + 2)/(j/24). Factor -2*g - 3*g**2 - a*g**2 - 3*g**4 + 5*g**4 + 6*g.
2*g*(g - 1)**2*(g + 2)
Let v be (-2 - (-12)/7) + (-1147)/(-217). Let h(l) be the second derivative of 3/50*l**v + 6*l + 0*l**2 + 0 + 1/75*l**6 + 1/15*l**3 + 1/10*l**4. Factor h(o).
2*o*(o + 1)**3/5
Let a(p) be the first derivative of -8*p**5 + 6*p**5 + 5*p**4 + 5*p + 3*p**5 + 10*p**2 + 17 + 10*p**3 + 0*p. Factor a(g).
5*(g + 1)**4
Let a = 4793/3 - 1596. Factor -p + 0 - a*p**2.
-p*(5*p + 3)/3
Let y be (-72)/48*(-1)/9. Let m(c) be the second derivative of -2/3*c**3 + 0 + 1/10*c**5 + 3*c + 0*c**2 - y*c**4. Factor m(u).
2*u*(u - 2)*(u + 1)
Solve -2/7*x**3 + 6/7*x**4 - 22/7*x**2 + 2/7*x**5 - 24/7*x - 8/7 = 0 for x.
-2, -1, 2
Let w(l) be the second derivative of -121*l**5/70 + 33*l**4/7 + 4*l**3 + 8*l**2/7 + 173*l + 2. Find f, given that w(f) = 0.
-2/11, 2
Suppose 420 = -2*z + 6*z - 4*w, 3*z - 315 = -w. Let b = z + -734/7. Find k, given that 1/7 + b*k**2 + 2/7*k = 0.
-1
Determine x so that 17/5*x - 1/5*x**2 + 0 = 0.
0, 17
Let c be ((-7)/(-12))/(4/(-708)). Let l = c + 104. Suppose l*m**2 - 6*m + 12 = 0. What is m?
4
Let q = 0 - 0. Let n be (-54)/(-9) - 16/4. Suppose -2 + q*a**3 - a + a**3 + n = 0. What is a?
-1, 0, 1
Suppose -57 = -5*t + 13. Suppose 4*z - t = 2*c, -12 = -0*c + c - 3*z. Factor -5/2*h**4 - 4*h**c - 1/2*h**5 + 0*h + 0 - 2*h**2.
-h**2*(h + 1)*(h + 2)**2/2
Let q(p) = -6*p**2 + 156*p + 2876. Let d(s) = -4*s**2 + 155*s + 2879. Let a(j) = 4*d(j) - 3*q(j). Factor a(k).
2*(k + 38)**2
Let l(a) be the third derivative of 2*a**7/105 - 13*a**6/30 - 19*a**5/15 + 73*a**4/6 - 28*a**3 - 190*a**2. Find t such that l(t) = 0.
-3, 1, 14
Suppose d + 2 = 2*d. Factor -4*t - 6*t - 3*t + 4*t**d + 5*t.
4*t*(t - 2)
Let y(g) = g**3 - 2*g**2 + g. Let j(p) = 3*p**3 - 7*p**2 + 4*p. Let q be 4 - 3*(-2)/3. Let c(n) = q*j(n) - 21*y(n). Factor c(a).
-3*a*(a - 1)*(a + 1)
Let y be (-3)/2*14/(-42). Factor 1/2*r**2 + y + r.
(r + 1)**2/2
Let r(q) = 6*q**3 - 36*q**2 - 33*q - 9. Let t(g) = 3*g**3 - 18*g**2 - 16*g - 5. Let w(h) = -5*r(h) + 9*t(h). Let w(m) = 0. Calculate m.
-1, 0, 7
Let z(q) be the first derivative of -1/16*q**4 - 16 - 9/4*q - 3/8*q**2 + 5/12*q**3. Find n, given that z(n) = 0.
-1, 3
Let y(f) be the second derivative of -f**5 - 7*f**4/2 - 4*f**3 - f**2 + 4*f + 12. Determine q, given that y(q) = 0.
-1, -1/10
Let x(i) be the first derivative of -231*i**4/4 + 78*i**3 - 3*i**2/2 - 166. Factor x(o).
-3*o*(o - 1)*(77*o - 1)
Suppose 4*d = d + 6. Suppose d*g - 2*g + 5*g**2 + g - 3*g = 0. Calculate g.
0, 2/5
Let n(x) be the third derivative of x**8/294 - 13*x**7/245 - 5*x**6/168 + 17*x**5/140 - 5*x**4/84 + 126*x**2. Suppose n(h) = 0. Calculate h.
-1, 0, 1/4, 1/2, 10
Let v(g) = g**2 - 21*g + 110. Let h be v(9). Suppose -2/19*n**3 + 6/19*n + 0*n**h + 4/19 = 0. What is n?
-1, 2
Let p(c) = c**2 + c + 1. Let b(d) = -8*d**2 - 48*d - 44. Let g(y) = b(y) + 20*p(y). Find u such that g(u) = 0.
-2/3, 3
Let u(f) be the second derivative of -8*f**7/945 + 7*f**6/270 - 2*f**5/135 - f**4/54 + 5*f**2/2 + 12*f. Let m(r) be the first derivative of u(r). Factor m(n).
-4*n*(n - 1)**2*(4*n + 1)/9
Let r be (-126)/(-33) - (30/33)/(-5). Let j(u) be the first derivative of -49/2*u**r + 140/3*u**3 + 16*u + 52*u**2 + 4. Find x, given that j(x) = 0.
-2/7, 2
Let w(h) be the third derivative of -24*h**2 + 0 - 1/300*h**5 - 1/120*h**4 + 1/15*h**3 + 0*h. Solve w(z) = 0 for z.
-2, 1
Let i(k) be the second derivative of k**4/48 - 7*k**3/24 + 3*k**2/4 + 3*k + 6. Factor i(r).
(r - 6)*(r - 1)/4
Suppose -4 = -10*p + 9*p. Factor 2/7*s**p - 4/7*s - 2/7 + 0*s**2 + 4/7*s**3.
2*(s - 1)*(s + 1)**3/7
Let x = 44 - 42. Suppose n = -x*z + 9, 4*n = 9*n + 3*z - 24. Determine q, given that 0 + 1/3*q**n + 0*q**2 - 1/3*q = 0.
-1, 0, 1
Let c(g) be the first derivative of 8*g**5/5 - 15*g**4/2 - 16*g**3 - 5*g**2 + 80. Factor c(x).
2*x*(x - 5)*(x + 1)*(4*x + 1)
Let u(a) be the third derivative of -1/170*a**5 - 1/1020*a**6 + 0*a + 0*a**3 + 39*a**2 + 0*a**4 + 1/595*a**7 + 0 + 1/2856*a**8. Find p, given that u(p) = 0.
-3, -1, 0, 1
Solve -172/9*w**2 + 0 - 112/9*w - 2/3*w**3 = 0.
-28, -2/3, 0
Let t(a) be the first derivative of 3*a**5/10 - 3*a**3/2 - 3*a**2/2 - 421. Factor t(r).
3*r*(r 