r a(i).
-i*(i - 2)/4
Suppose 0*h = -10*h + 40. Factor -2*x - 11*x**2 - x + x**h - 2*x**4 + 12*x**2 + 3*x**3.
-x*(x - 3)*(x - 1)*(x + 1)
Let h(b) = -7*b**2 - 21*b + 50. Let g(y) = -13*y**2 - 39*y + 101. Let z(t) = -4*g(t) + 7*h(t). Factor z(c).
3*(c - 3)*(c + 6)
Let n(m) be the first derivative of -8*m**5/45 - m**4/18 - 11. Factor n(i).
-2*i**3*(4*i + 1)/9
Let l(f) be the third derivative of -f**5/30 + 4*f**4/3 - 58*f**2 + 1. Factor l(p).
-2*p*(p - 16)
Let u(a) be the first derivative of 3/40*a**5 + 3/16*a**2 + 3/8*a + 1/16*a**6 - 3/16*a**4 - 1/4*a**3 - 12. Determine x, given that u(x) = 0.
-1, 1
Factor -15/4*b**3 + 0 - 9/2*b**2 - 3/4*b.
-3*b*(b + 1)*(5*b + 1)/4
Let d be 819/(-6)*(-4)/6. Let v = 274/3 - d. What is u in 1/3*u + 0 + u**2 + v*u**4 + u**3 = 0?
-1, 0
Let y(m) = 2*m**2 + m. Let f be y(1). Determine n so that -n**2 + 23*n**4 + 14*n**4 + 2*n**f - 38*n**4 = 0.
0, 1
Find y, given that -2209*y**2 + 47*y**3 - 1/4*y**4 + 0 + 0*y = 0.
0, 94
Let y(s) be the second derivative of 1/60*s**4 - 12*s + 0*s**3 + 0 - 1/210*s**7 + 1/100*s**5 + 0*s**2 - 1/150*s**6. Find w such that y(w) = 0.
-1, 0, 1
Let g(p) be the third derivative of 0 - 12*p**2 + 0*p**5 + 1/40*p**6 + 0*p - p**3 - 3/8*p**4. Factor g(l).
3*(l - 2)*(l + 1)**2
Let m(h) be the second derivative of h**5/5 + h**4 - 8*h**3/3 - 24*h**2 + 247*h. Determine s so that m(s) = 0.
-3, -2, 2
Let n(z) be the third derivative of 0*z + 0*z**6 + 1/6*z**5 - 4/3*z**3 + 10*z**2 - 1/105*z**7 + 0 + 0*z**4. Solve n(v) = 0 for v.
-2, -1, 1, 2
Let h(m) = -m**2 + 7*m + 5. Suppose -3*i = -27 + 6. Let y be h(i). Let -2*c**5 - 4*c**4 - 3*c**3 + 3*c**4 + c**2 + c**y + 4*c**4 = 0. What is c?
0, 1
Let h(n) be the third derivative of n**6/120 + 2*n**5/5 + 11*n**4/6 + 5*n**2 + 71. Let h(k) = 0. Calculate k.
-22, -2, 0
Let n be 23/(-161) - (-30)/14. Suppose 21 = 5*z - t, 5*t = z - n*z + 25. Factor -2/11*j + 4/11*j**3 - 2/11*j**4 - 2/11 - 2/11*j**z + 4/11*j**2.
-2*(j - 1)**2*(j + 1)**3/11
Suppose -867/5 - 3/5*q**3 - 153*q + 99/5*q**2 = 0. What is q?
-1, 17
Let 406*h**3 + 99*h**2 - 193*h**3 + 41*h - 192*h**3 + 13*h + 1 - 25 = 0. What is h?
-4, -1, 2/7
Factor 74/3 - 74/3*c**2 + 2/3*c**3 - 2/3*c.
2*(c - 37)*(c - 1)*(c + 1)/3
Let c(v) be the first derivative of -v**4/4 + 11*v**3/3 + v**2/2 - 11*v - 225. Factor c(h).
-(h - 11)*(h - 1)*(h + 1)
Let b(n) be the second derivative of -3*n**7/28 - 29*n**6/60 - 33*n**5/40 - 5*n**4/8 - n**3/6 + 470*n. Solve b(q) = 0 for q.
-1, -2/9, 0
Let p(h) = -h. Let a = -3 + 2. Let m be p(a). Factor -m + k**3 + 3*k**2 - k - 3 - 1 - 2*k**4 + 4.
-(k - 1)**2*(k + 1)*(2*k + 1)
Suppose -21/2 - 10*t + 1/2*t**2 = 0. Calculate t.
-1, 21
Suppose 48 = -15*v + 31*v. Let o(w) be the second derivative of 4/15*w**v + 0 + 1/30*w**4 + 4/5*w**2 - 6*w. Let o(x) = 0. What is x?
-2
Let d = 19 - 4. Let u(w) = w**3 - 15*w**2 + w - 15. Let p be u(d). Suppose -12*b - 3 - 4*b**2 - 6 + 1 + p*b = 0. Calculate b.
-2, -1
Suppose -5*m - 110 = -110. Factor m - 2/17*g**2 - 6/17*g.
-2*g*(g + 3)/17
Let b(r) be the second derivative of 0 - 5/6*r**4 - 30*r - 5/6*r**3 + 7/4*r**5 + 0*r**2 - 2/3*r**6. Factor b(y).
-5*y*(y - 1)**2*(4*y + 1)
Let c(g) = g**4 - g**3 - g**2 + g + 1. Let i = -35 - -40. Let p(n) = -6*n**4 + 2*n**3 + 3*n**2 - 5*n - 5. Let y(u) = i*c(u) + p(u). Find v, given that y(v) = 0.
-2, -1, 0
Let t(g) = -2*g**3 - 2*g**2 - 4*g + 5. Let r be t(0). Suppose -4*i - 5*c = -18, -i + 3*i = 5*c - 6. Let r - 5*y + y**2 + 0 + 0*y**i - 1 = 0. What is y?
1, 4
Let s(t) be the second derivative of t**7/84 - t**6/20 - t**5/10 + 2*t**4/3 - 4*t**2 - 7*t - 9. Find z such that s(z) = 0.
-2, -1, 2
Suppose -99*z + 3/8*z**4 - 9*z**3 + 249/4*z**2 + 363/8 = 0. What is z?
1, 11
Let v be (-3)/(450/(-1390)) + -9. Let z(u) be the first derivative of v*u - 1/15*u**2 - 2/45*u**3 + 5. Suppose z(w) = 0. What is w?
-2, 1
Suppose -9 = -4*p + 3. Factor -6*r**3 + 5*r**5 - 32*r**2 - 10*r**p - r**5 - r**4 + 9*r**4.
4*r**2*(r - 2)*(r + 2)**2
Suppose 65 - 60 = b. Let h(k) be the third derivative of 0*k**4 - 1/360*k**6 + 8*k**2 + 0*k**3 + 0*k + 0 + 1/630*k**7 + 0*k**b. Solve h(f) = 0.
0, 1
Suppose -7*o + 21 = -7. Let c be (-10 - -5) + 8*1. Factor -u**c + 0*u**2 + 0 - 1/2*u**o + 0*u.
-u**3*(u + 2)/2
Suppose 3*d - 5*d + 6 = 0. Let x be ((-2)/6)/(3/(-9)). Factor -x + 6*y + 0 + 4 + d*y**2.
3*(y + 1)**2
Let n(v) = -11*v**3 + 99*v**2 - 729*v + 1721. Let s(u) = 155*u**3 - 1385*u**2 + 10205*u - 24095. Let l(i) = 85*n(i) + 6*s(i). Determine f, given that l(f) = 0.
7
Let u = -467 + 473. Let m = 0 - -2. Find j such that -2*j**3 - u*j - 9*j**2 + 3*j**m - 3*j**2 + j**2 = 0.
-3, -1, 0
Let y be -1*(7 + -6 + -3). Let m(c) be the first derivative of -2*c**4 + y*c**2 - 2*c**3 + 8/5*c**5 + 4 + 2*c. Factor m(w).
2*(w - 1)**2*(2*w + 1)**2
Let l be ((-2618)/581)/(-1 + 15). Let w = -3/83 - l. Solve 0 + w*m**2 + 4/7*m - 2/7*m**3 = 0 for m.
-1, 0, 2
Let j(s) = -6*s - 38. Let k be j(-7). Solve -2*c**3 - 26*c**k - 4*c**5 + 18*c**4 - 2*c**3 = 0 for c.
-1, 0
Let y(m) = -13*m**3 + 23*m**2 - 51*m + 25. Let v(q) = 23*q**3 - 47*q**2 + 102*q - 50. Let o(l) = -8*v(l) - 14*y(l). Suppose o(h) = 0. What is h?
1, 25
Suppose 5*c - 411 = -91. Let n = 86 + -20. Solve c - n - 4*b - 2*b**2 + 0*b = 0.
-1
Let t(s) = 9*s**2 - 93*s - 72. Let i(n) = -2*n**2 + n - 2. Let h(k) = 6*i(k) + t(k). Factor h(r).
-3*(r + 1)*(r + 28)
Let f(h) be the second derivative of h**7/5040 - h**6/720 + h**5/240 - 13*h**4/4 + 37*h. Let o(q) be the third derivative of f(q). Factor o(n).
(n - 1)**2/2
Let w(x) = x**4 - x + 1. Let j(l) = 12*l**4 - 2*l**3 - 9*l + 10. Suppose -f - 3*c - 41 = f, 3*f + 64 = -2*c. Let i(s) = f*w(s) + 2*j(s). Factor i(b).
2*(b - 1)**3*(b + 1)
Let i(j) be the second derivative of -1/20*j**6 + 1/4*j**4 + 3/40*j**5 - 3/4*j**2 - 1/8*j**3 + 0 - 1/56*j**7 - 9*j. What is h in i(h) = 0?
-2, -1, 1
Let c(z) = -z**3 + 2*z**2 + z - 1. Let q(l) = -18*l**3 + 42*l**2 + 102*l + 57. Let d(f) = 15*c(f) - q(f). Solve d(v) = 0 for v.
-3, -1, 8
Let w = 7 - -36. Find a, given that 4*a**2 + 20 + w + 1 + 32*a = 0.
-4
Let -12 + 2/5*l**2 + 26/5*l = 0. Calculate l.
-15, 2
Let i = -9986/35 - -2000/7. Factor -i*k**3 - 8/5*k**2 + 0 - 8/5*k.
-2*k*(k + 2)**2/5
Let m = 0 - -2. Suppose -5*s + 72 = m. Solve f + s*f**2 - f - 12*f**2 = 0 for f.
0
Suppose 13*g + 143 = -0. Let b(c) = c**3 + 8*c**2 - 34*c - 7. Let l be b(g). Determine a so that 0*a**2 + 0*a + 0*a**3 - 2/5*a**5 + 0 - 4/5*a**l = 0.
-2, 0
Let t = -202 - -212. Let n be t/115 - (-45)/276. Suppose -n*o**2 + 3/4*o - 1/2 = 0. Calculate o.
1, 2
Let f be (284/(-30))/((-264)/165). Let k = f + -31/6. Find t such that -9/4*t**2 - k*t**4 + 3/4*t + 0 + 9/4*t**3 = 0.
0, 1
Find j such that 0 - 3/2*j**3 + j**4 + 0*j + 1/2*j**2 = 0.
0, 1/2, 1
Let o(c) = -2*c**2 + 5*c + 5. Let f be o(3). Let 3*a**2 - 3*a**f + 2*a**2 + 10*a**4 - 8*a**4 - 4*a**3 = 0. What is a?
0, 1
Suppose 13 = -3*n + 5*x - 11, 0 = 3*n - 4*x + 21. Let i be 2/(2 + -3 - (n + -5)). Find c, given that i*c**3 - 2/7 + 2/7*c**2 - 2/7*c = 0.
-1, 1
Let m be (92/(-16) - -3)/(2/8). Let t(p) = 21*p**5 - 31*p**4 + 21*p**3. Let l(h) = -4*h**5 + 6*h**4 - 4*h**3. Let o(r) = m*l(r) - 2*t(r). Factor o(y).
2*y**3*(y - 1)**2
Find x, given that -6*x**3 - 29*x**4 - 27*x**4 + 54*x**4 = 0.
-3, 0
Let d(u) be the third derivative of -1/336*u**8 + 1/24*u**4 - 4*u**2 + 1/30*u**5 + 0*u**6 + 0 - 1/105*u**7 + u + 0*u**3. Find k, given that d(k) = 0.
-1, 0, 1
Factor -4/5*b**2 + 0 - 4/5*b**3 + 0*b.
-4*b**2*(b + 1)/5
Let q(v) be the first derivative of 0*v**3 + 1/42*v**7 + 1 + 0*v**4 + 0*v**2 - 1/30*v**6 + v + 0*v**5. Let d(b) be the first derivative of q(b). Factor d(r).
r**4*(r - 1)
Let q(v) be the first derivative of -v**4/12 - 3*v**3/2 + 2*v - 47. Let y(p) be the first derivative of q(p). Factor y(j).
-j*(j + 9)
Let m be (-15)/5 - ((-1)/180 - 3). Let a(p) be the third derivative of 1/900*p**6 + 0*p**3 + m*p**4 + 1/225*p**5 - 12*p**2 + 0*p + 0. Let a(z) = 0. What is z?
-1, 0
What is o in -6 + 17/5*o - 1/5*o**2 = 0?
2, 15
Let t = 1 - -1. Suppose 1 + t = 2*z - f, -2*f + 10 = 0. Factor 11*q**2 - 9*q**2 + q**5 + 2*q**4 + 5*q**3 + q**z + q**4.
q**2*(q + 1)**2*(q + 2)
Let i(k) = -k**2 + k + 1. Suppose 21*b = 26*b - 25. Let h(t) = -5*t**4 + 5*t**2 + 5*t. Let n(o) = b*i(o) - h(o). Solve n(j) = 0 for j.
-1, 1
Factor 0 + 2/3*c**4 - 4/3*c**3 + 2/3*c**2 + 0*c.
2*c**2*(c 