+ 5*p - 2*p**g - 5 + p**3 + 5*p**2 = 0.
-1, 1
Suppose 9*k + 108 = 27*k. Let l(z) be the third derivative of -3*z**2 + 0*z + 1/60*z**k + 0*z**3 + 0*z**5 + 0 - 1/12*z**4. Let l(q) = 0. Calculate q.
-1, 0, 1
Let f = 580 + 668. Let n = f - 3712/3. Determine s so that -8/3*s**3 + 16/3 + 8*s**2 - n*s + 1/3*s**4 = 0.
2
Suppose 4*g = -4*g. Suppose 4*b - 9*b + 215 = g. Factor 70*v**3 + 8*v**2 - b*v**2 - 43*v**2 + 8.
2*(v - 1)*(5*v - 2)*(7*v + 2)
Let r(q) be the second derivative of -q**5/100 - q**4/10 + 3*q**3/10 + 7*q**2/5 + 16*q + 2. Factor r(p).
-(p - 2)*(p + 1)*(p + 7)/5
Let m(i) be the second derivative of 3*i**5/20 + i**4/2 + i**3/2 - 4*i - 9. Solve m(d) = 0.
-1, 0
Let t be 9/3 + (12 - 3). Let i be (-5)/12 - (-9)/t. Factor -1/3*d**2 + i*d**3 + 1/3 - 1/3*d.
(d - 1)**2*(d + 1)/3
Let o(t) be the first derivative of -1/2*t - 3/8*t**2 - 1/12*t**3 - 24. Factor o(a).
-(a + 1)*(a + 2)/4
Suppose 7*h - 254 = 271. Suppose -h = -3*o + 33. Solve 9*r**2 + 48 - o*r - 3/4*r**3 = 0 for r.
4
Let r(o) be the third derivative of -o**9/272160 - o**8/30240 - o**7/11340 + 7*o**5/60 - 14*o**2. Let k(u) be the third derivative of r(u). Factor k(l).
-2*l*(l + 1)*(l + 2)/9
Solve -13/5*c**2 + 0 - 11/5*c**4 - 5*c**3 + 1/5*c**5 + 0*c = 0.
-1, 0, 13
Find s such that 16*s**2 + 188/3*s**4 - 256/3*s**3 - 12*s**5 + 0*s + 0 = 0.
0, 2/9, 2, 3
Solve -3/2*p**2 + 60 - 27*p = 0.
-20, 2
What is u in 12/5 + 2/5*u**2 + 2*u = 0?
-3, -2
Let b(k) be the second derivative of -k**5/20 - 47*k**4/36 - 4*k**3 - 14*k**2/3 + 99*k. Factor b(j).
-(j + 1)*(j + 14)*(3*j + 2)/3
Let i(v) = -5*v - 68. Let w be i(-14). Factor -12*r**w - 4*r - 8*r**3 - 2*r**5 + r - 12*r**4 - r**5 - 10*r**3.
-3*r*(r + 1)**4
Let t be (4/(-6))/(10/(-75)). Suppose 3*i + i + 11 = -3*x, -10 = t*x + 5*i. Solve 3/7*p**5 + 0 + 0*p + 3/7*p**x - 6/7*p**4 + 0*p**2 = 0.
0, 1
Factor 72 - 24*k**3 - 7*k**4 + 101*k**2 + 8*k**3 + 282*k - 5*k**3 + 5*k**3.
-(k - 4)*(k + 3)**2*(7*k + 2)
Let y(r) be the second derivative of r**7/147 - 32*r**6/105 + 164*r**5/35 - 451*r**4/21 - 2057*r**3/21 + 2662*r**2/7 - 58*r + 1. Let y(u) = 0. Calculate u.
-2, 1, 11
Let q(c) be the first derivative of -c**3/21 + 9*c**2/14 - 18*c/7 + 197. Determine j, given that q(j) = 0.
3, 6
Let j(i) = -3*i**2 - 12*i. Let u = -9 - -21. Let p be (-2)/4 + 2/(-4). Let m(k) = -k. Let d(x) = p*j(x) + u*m(x). Determine a so that d(a) = 0.
0
Factor 49/6*g**5 + 6*g + 0 - 119/3*g**4 - 34*g**2 + 373/6*g**3.
g*(g - 2)**2*(7*g - 3)**2/6
Let a(d) be the first derivative of -8*d**5 + 5/6*d**6 + 125/4*d**4 + 9 - 190/3*d**3 + 70*d**2 - 40*d. Factor a(h).
5*(h - 2)**3*(h - 1)**2
Suppose -3*f - 5*p = 49, 5*f = -3*p - 16 - 39. Let n = f + 10. Factor -2*c + 4*c**n - 3*c**5 + 0*c**2 - 2*c**4 - 2*c**4 + 5*c**5.
2*c*(c - 1)**3*(c + 1)
Let j(h) be the second derivative of 1/56*h**7 + 1/12*h**4 + 0*h**2 - 1/24*h**3 - h - 1/40*h**5 + 0 - 1/30*h**6. Determine x, given that j(x) = 0.
-1, 0, 1/3, 1
Let g(n) = -n**3 - 7*n**2 - 7*n + 24. Let l be g(-4). Find y, given that 10/7*y + 2/7*y**5 - 20/7*y**2 - 2/7 - 10/7*y**l + 20/7*y**3 = 0.
1
Let y(l) be the third derivative of -11*l**6/60 + l**5/10 + 11*l**4/3 - 4*l**3 - 11*l**2 - l. Factor y(v).
-2*(v - 2)*(v + 2)*(11*v - 3)
Let p(i) = -i**2 - i. Suppose 5*a - 2*h - 16 = 6, 0 = -5*a + 3*h + 18. Let k(d) = 2*d**3 - 16*d**2 + 18. Let f(z) = a*p(z) - k(z). Factor f(t).
-2*(t - 3)**2*(t + 1)
Let c = -447 - -447. Let f(u) be the third derivative of c - 4*u**2 + 0*u - 2/135*u**5 + 1/135*u**6 + 0*u**4 + 0*u**3 - 1/945*u**7. Factor f(m).
-2*m**2*(m - 2)**2/9
Let b(k) be the second derivative of -5*k**7/14 + 9*k**6/5 - 33*k**5/10 + 2*k**4 + 3*k**3/2 - 3*k**2 + k + 8. What is m in b(m) = 0?
-2/5, 1
Let d(x) = -12*x**3 + 14*x**2 - 4*x + 5. Let q(y) = -14*y**3 + 15*y**2 - 4*y + 6. Let s(t) = -6*d(t) + 5*q(t). Factor s(g).
g*(g - 4)*(2*g - 1)
Let d be 2/3 + (23/39 - (-45)/585). Solve 0*j**2 + d*j**3 + 0 + 0*j = 0 for j.
0
Let k(n) be the first derivative of n**5/15 - 41*n**4/6 + 587*n**3/3 - 1640*n**2/3 + 1600*n/3 + 57. Determine c so that k(c) = 0.
1, 40
Let v(h) be the first derivative of 1/3*h**2 + 26 + 1/12*h - 3/8*h**4 - 27/20*h**5 - 3/4*h**6 + 4/9*h**3. Determine a so that v(a) = 0.
-1, -1/3, 1/2
Let j be (-4)/(-7)*((-5605)/(-114) + -48). Factor -8/3*w + j*w**2 + 2/3*w**3 - 8/3.
2*(w - 2)*(w + 1)*(w + 2)/3
Let f(p) be the third derivative of p**7/1365 - p**6/780 - p**5/195 + 228*p**2. Suppose f(g) = 0. What is g?
-1, 0, 2
Let r(f) be the third derivative of f**7/42 + f**6/24 - 5*f**5/12 + 5*f**4/8 - 543*f**2. Factor r(p).
5*p*(p - 1)**2*(p + 3)
Suppose 0*m + 34 = 5*m - 3*g, 3*m = -4*g + 3. Suppose 2*y - y = m*y. Factor p**2 - p + y + 3/4*p**3 - 1/2*p**4 - 1/4*p**5.
-p*(p - 1)**2*(p + 2)**2/4
Let a(m) = -m**3 - m**2 - 2*m + 4. Let g(u) = 0 + 5*u - 2 + 3*u**3 + u**2 + 2*u**2 - 9. Let c(y) = -11*a(y) - 4*g(y). Suppose c(x) = 0. Calculate x.
-2, 0, 1
Let z(u) = u**3 + 15*u**2 + 12*u - 15. Let x be z(-14). Let g = x - 10. Find i such that 8*i**4 - 8*i**2 + 0 - 4 + 28*i**g + 4 - 28*i**5 = 0.
-1, 0, 2/7, 1
Let t(u) be the second derivative of -5*u**7/42 - u**6/3 + u**5/2 + 5*u**4/3 - 5*u**3/6 - 5*u**2 - 121*u. Find o, given that t(o) = 0.
-2, -1, 1
Let v = -14 + 15. Let u be (4 - v) + (6 - 4). What is f in -9 - 64*f - 1 + 2 + 50*f**3 + 32*f**u - 122*f**2 + 112*f**4 = 0?
-2, -1/4, 1
Let m(b) = -9*b**3 - 39*b**2 - 51*b - 41. Let x(y) = -y**3 - y**2 + y - 4. Let v(j) = -m(j) + 4*x(j). Suppose v(c) = 0. What is c?
-5, -1
Let y(x) be the second derivative of x**6/80 + 3*x**5/80 - 3*x**4/32 - x**3/2 - 3*x**2/4 + 157*x. Let y(u) = 0. What is u?
-2, -1, 2
Let z = -4586 + 4586. Find l such that 0*l**2 + z - 1/4*l**3 + 1/4*l = 0.
-1, 0, 1
Let m(s) be the first derivative of -s**6/36 + 4*s**5 - 1739*s**4/12 - 1220*s**3/3 - 3721*s**2/12 - 213. Factor m(g).
-g*(g - 61)**2*(g + 1)**2/6
Find o such that 1/4*o**5 + 7/2 - 23/4*o - 5/2*o**4 - o**2 + 11/2*o**3 = 0.
-1, 1, 2, 7
Let t(s) be the third derivative of 0*s + 0*s**4 + 1/45*s**5 + 3*s**2 + 0 + 1/180*s**6 - 1/315*s**7 + 0*s**3. Factor t(y).
-2*y**2*(y - 2)*(y + 1)/3
Let j = 98 - 94. Determine z so that 3*z + 0*z**2 - 13*z**j - 14*z**4 + 1 + 7*z**5 + 38*z**3 - 22*z**2 + 0 = 0.
-1/7, 1
Let w(f) be the third derivative of f**9/211680 - f**7/17640 - 17*f**5/60 - 17*f**2. Let l(j) be the third derivative of w(j). Solve l(o) = 0 for o.
-1, 0, 1
Let w(o) be the second derivative of -3*o**5/20 + 5*o**4/4 + 12*o**3 + 592*o. Find g, given that w(g) = 0.
-3, 0, 8
Factor -116*c - 45 + 202*c**2 - 151*c**3 + 55 + 55*c**3.
-2*(c - 1)**2*(48*c - 5)
Let q = 241 + -169. Let l be q/(-468) - 132/(-182). Let 2/7*t**3 + 10/7*t**4 - 4/7*t**5 + 2/7*t + l - 2*t**2 = 0. Calculate t.
-1, -1/2, 1, 2
Let n(i) be the second derivative of 9*i**8/560 + 107*i**7/840 - i**6/48 - 3*i**5/20 - 8*i**4/3 - 11*i. Let r(v) be the third derivative of n(v). Factor r(w).
3*(w + 3)*(4*w - 1)*(9*w + 2)
Suppose t = -3*s + 20 + 8, 4*t = -2*s + 32. Let 6*l**2 + 2*l**5 - 2*l**4 - l**2 + s*l**2 - 5*l**2 - 12*l**3 + 16*l = 0. Calculate l.
-2, -1, 0, 2
Let h(n) be the second derivative of 2*n**7/21 + n**6/2 - n**5/5 - 16*n**4/3 - 8*n**3 + 8*n**2 - 6*n + 21. Suppose h(w) = 0. What is w?
-2, 1/4, 2
Let v(f) be the first derivative of -19 + 1/2*f**3 + 0*f - 3/4*f**2 + 3/8*f**4 - 3/10*f**5. Determine m, given that v(m) = 0.
-1, 0, 1
Let n be 147/105 - 1/(5/(-3)). Suppose -g - n*g + 6 = -2*p, 0 = 5*g + p - 10. Factor -1/5*u**g + 1/5*u**4 + 0 + 1/5*u - 1/5*u**3.
u*(u - 1)**2*(u + 1)/5
Factor -190*a - 89 - 2*a**2 - 174 + 83 + 8*a + 0*a**2.
-2*(a + 1)*(a + 90)
Let r = -2540417/70 + 36290. Let a = -6/35 - r. Suppose -3*j**2 - a*j + 0 = 0. What is j?
-1/2, 0
Let f(i) be the second derivative of 0*i**2 + 10*i + 0*i**3 - 1/60*i**5 + 0 + 0*i**4. Determine o, given that f(o) = 0.
0
Let y(n) be the first derivative of -5*n**3/3 + 25*n**2 + 120*n - 397. Suppose y(z) = 0. Calculate z.
-2, 12
Suppose -4*u + 4*q = -9*u + 24, -4*u - q + 17 = 0. Let l(r) be the second derivative of 0*r**3 + 3*r - 1/10*r**5 + 0*r**2 + 0*r**u + 0. Factor l(a).
-2*a**3
Let d = 3205 + -35251/11. Factor 2/11*j**4 + 0*j**3 + 0 - 6/11*j**2 - d*j.
2*j*(j - 2)*(j + 1)**2/11
Suppose -4*f = -75 + 59. Let a(u) be the first derivative of -1/4*u - 2*u**3 - f + u**4 + 9/8*u**2. What is j in a(j) = 0?
1/4, 1
Factor 7*s**2 + 1156 - 16*s 