 5*q = 3, 3*q = -2*f - 14 - 3. Let u be 768/126 - f/7. Factor 2*i**2 + 2 - u*i.
2*(i - 3)*(3*i - 1)/3
Let w(n) be the second derivative of -n**5/20 + 41*n**4/12 - 133*n**3/2 - 441*n**2/2 + 3*n - 2. Find m such that w(m) = 0.
-1, 21
Suppose 10 = -4*b + 10. Let k(o) be the second derivative of b - 5/2*o**3 - 3*o**2 - o**4 - 3/20*o**5 - o. Suppose k(d) = 0. What is d?
-2, -1
Let d(j) be the third derivative of 1/20*j**7 + 0*j + 0*j**3 + 0*j**4 - 3/224*j**8 + 0 - 1/10*j**5 + 39*j**2 + 0*j**6. Determine s so that d(s) = 0.
-2/3, 0, 1, 2
Let y be 70/(-7) - (-25 - -11 - -2). Determine s so that -10*s + 5/3*s**y - 35/3 = 0.
-1, 7
What is d in 36/5 - 9/5*d - 1/5*d**2 = 0?
-12, 3
Let q = -2 - -8. Suppose -2*c + 0*c = -q. Factor -2*r + 3*r - r**c - 3*r + 3*r**3.
2*r*(r - 1)*(r + 1)
Let g(z) be the third derivative of z**5/240 - z**4/2 - 49*z**3/24 - 6*z**2 + 8. Find b such that g(b) = 0.
-1, 49
Let v(p) = p**3 + p + 1. Let c be 30/12 - 1/2. Suppose 0 + c = -2*b. Let w(o) = 3*o**2 - 6*o - 6. Let x(g) = b*w(g) - 3*v(g). Factor x(k).
-3*(k - 1)*(k + 1)**2
Let c(q) be the first derivative of -q**4 - 6*q**2 + 0*q - 14 - 16/3*q**3. What is k in c(k) = 0?
-3, -1, 0
Solve 8*m**2 - 12*m - 4/3*m**3 + 16/3 = 0 for m.
1, 4
Determine x, given that 774/5*x**4 + 74*x**2 - 128/5*x + 8/5 + 162/5*x**5 + 1118/5*x**3 = 0.
-2, -1, 1/9
Let w = -406 - -587. Let u = 184 - w. Factor -2/9*p**u + 0 + 2/9*p**2 + 0*p.
-2*p**2*(p - 1)/9
Factor -34/11*h**2 + 4/11 + 18/11*h + 12/11*h**3.
2*(h - 2)*(h - 1)*(6*h + 1)/11
Suppose 10*q = -2*q + 60. Let i(f) = 2*f - 2. Let j be i(3). Determine g, given that q*g**2 - 3*g**2 + 0*g + j*g = 0.
-2, 0
Let f = -3538 + 3541. Find o such that 1/3*o**4 + o**2 - o**f + 0 - 1/3*o = 0.
0, 1
Let s = -1168 + 7009/6. Let h(c) be the third derivative of 0*c - 8*c**2 - s*c**3 + 1/48*c**4 + 1/60*c**5 + 0 - 1/240*c**6. Factor h(r).
-(r - 2)*(r - 1)*(r + 1)/2
Let h = 21 - 18. Factor 4*o**2 + 7*o - 11*o - 2*o**3 - 2*o**h + 3*o**3.
-o*(o - 2)**2
Let f be ((-46)/276)/((-14)/48). Suppose 18/7*x + 26/7*x**3 + f - 48/7*x**2 = 0. Calculate x.
-2/13, 1
Solve 4*y - 13/3*y**3 + 0 + 1/3*y**5 + 1/3*y**4 - 1/3*y**2 = 0 for y.
-4, -1, 0, 1, 3
Factor -36/11*q**2 + 0*q + 2/11*q**4 + 0 + 6/11*q**3.
2*q**2*(q - 3)*(q + 6)/11
Let y(s) be the third derivative of -1/48*s**4 + 0*s**3 - 1/240*s**5 + 0*s + 0 - 25*s**2. Suppose y(i) = 0. What is i?
-2, 0
Let q(s) be the third derivative of 1/6*s**5 + 0 - 13*s**2 - 25/24*s**4 + 5/2*s**3 + 0*s. Let q(u) = 0. Calculate u.
1, 3/2
Let q(h) be the third derivative of -h**6/300 - h**5/50 + 4*h**3/15 - 346*h**2. Factor q(r).
-2*(r - 1)*(r + 2)**2/5
Let x(f) be the third derivative of -7*f**6/40 - 3*f**5/10 + f**4/8 + 114*f**2. Determine z, given that x(z) = 0.
-1, 0, 1/7
Suppose -129 = -7*p - 3. Factor -65*t + p + 17*t - 3*t + 15*t**2.
3*(t - 3)*(5*t - 2)
Let f(t) be the third derivative of t**6/1440 + t**5/96 - t**4/16 - 3*t**3 + 16*t**2. Let d(u) be the first derivative of f(u). Factor d(v).
(v - 1)*(v + 6)/4
Let u(v) be the third derivative of -1/20*v**5 + 1/4*v**4 + 0 + 0*v + 11*v**2 + 0*v**3. Solve u(q) = 0 for q.
0, 2
Let p(a) = 2*a**3 + 23*a**2 + 13*a + 22. Let l be p(-11). Suppose l + 4*k**2 + 0*k - 25/2*k**5 + 15*k**4 + 18*k**3 = 0. What is k?
-2/5, 0, 2
Suppose 50/3*m**2 + 1/6 - 10/3*m = 0. Calculate m.
1/10
Suppose -44*j - 65*j = -218. Let c(o) be the second derivative of 2*o**j + 1/6*o**4 + o**3 + 8*o + 0. Let c(p) = 0. Calculate p.
-2, -1
Let p be (3*1)/((-14)/42). Let b be -3 + p/(-3) - -6. Factor -b + 2*k**2 + 3*k**3 + 12*k + 4*k**2 - 15*k.
3*(k - 1)*(k + 1)*(k + 2)
Let z(m) = 3*m**3 - 20*m**2 - 7*m. Let u be z(7). Let j(k) be the second derivative of -6*k + u + 3/140*k**5 - 3/28*k**4 + 0*k**3 + 6/7*k**2. Factor j(g).
3*(g - 2)**2*(g + 1)/7
Let w(m) be the second derivative of m**4/4 + 16*m. Let z(q) = q**3 + q**2. Let t(d) = -w(d) + 3*z(d). Factor t(k).
3*k**3
Suppose 4*p - 3*p + 3*s = 246, p - 5*s = 206. Let m = 1157/5 - p. Determine i, given that -2/5*i + 0*i**3 + 0 + 4/5*i**4 + m*i**5 - 4/5*i**2 = 0.
-1, 0, 1
Suppose -11*n + 12 = -21. Factor -3*o**2 - 9*o**4 + 15*o**3 - 13*o**3 - 3*o**5 - 11*o**n.
-3*o**2*(o + 1)**3
Let p(i) = -30*i**2 + 1. Let l be p(-1). Let t = l - -31. Factor -122 - y + y**t + 122.
y*(y - 1)
Suppose -30 = 3*t - t - 2*h, -5*t + 3*h - 71 = 0. Let c be 280/130 - (-2)/t. Let -8*p + 2*p**c + 12 + p**2 + 0*p**2 - 7*p**2 = 0. Calculate p.
-3, 1
Let y(z) be the third derivative of -z**6/90 - 26*z**5/45 - 49*z**4/18 - 16*z**3/3 - 77*z**2. Solve y(g) = 0.
-24, -1
Let -46/5*d - 84/5 - 2/5*d**2 = 0. What is d?
-21, -2
Let g be 4/5*90/36. Suppose -4*t = -2*x + 20, -5 - 5 = g*t. Factor 3/4*n**5 + 0 + 0*n + x*n**2 + 3/2*n**3 - 9/4*n**4.
3*n**3*(n - 2)*(n - 1)/4
Suppose -2*f + 5*p = p - 12, -2*p - 8 = 0. Let q(b) = -6*b**3 - 14*b**2 + 16*b. Let z(r) = -r**3 - r**2. Let o(u) = f*z(u) + q(u). Find n such that o(n) = 0.
-4, 0, 1
What is i in 12959 + 12825 - 2*i**3 + 102*i**2 - 25408 - 384*i = 0?
2, 47
Suppose -3*b = -b. Suppose -2*i - 16 = -l, 2*l = -i - b*i + 7. Let -10*w**4 - w**3 + 4*w**3 - 5*w**3 - 2*w**3 - l*w**5 = 0. Calculate w.
-1, -2/3, 0
Let h(d) be the third derivative of d**7/840 + d**6/720 - d**5/80 - d**3/3 - 2*d**2. Let j(i) be the first derivative of h(i). Factor j(m).
m*(m - 1)*(2*m + 3)/2
Let k = -110 + 38. Let s = 77 + k. Factor 2/7*i**3 + 0 + 0*i**2 + 0*i**4 + 0*i - 2/7*i**s.
-2*i**3*(i - 1)*(i + 1)/7
Solve -749*l**4 + 748*l**4 + 3 - 3 + 12*l**3 = 0 for l.
0, 12
Let k(j) be the third derivative of -5/33*j**3 - 1/12*j**4 - 1/660*j**6 + 0 + 0*j - 7/330*j**5 + 25*j**2. Determine g, given that k(g) = 0.
-5, -1
Let c(j) = -j - 8. Let k be c(-11). Suppose -7*p + 2*p - 9 = 3*q, k*p = 3*q - 15. Let 0*u**q + 10/9*u**4 + 0 + 0*u - 2/9*u**3 - 4/3*u**5 = 0. Calculate u.
0, 1/3, 1/2
Let v(j) be the second derivative of j**5/10 + 35*j**4/3 + 1225*j**3/3 - 202*j. Factor v(o).
2*o*(o + 35)**2
Let b(m) = 2*m**2 - 1. Let u(f) = 13*f**2 - 150*f + 141. Let g(l) = 4*b(l) - u(l). Suppose g(d) = 0. Calculate d.
1, 29
Let j(f) = -2 + 4*f + 2*f - 3*f**2 + 4*f**2 - f. Let l be j(-6). What is g in -5*g**2 + l*g + 4*g**2 - 2 - 2*g - 5*g = 0?
-2, -1
Let g = 16 + -23. Let l(h) = -h**2 - 5*h + 17. Let f be l(g). Factor 0*b**f + 0 + 1/2*b**2 - 1/2*b**4 + 0*b.
-b**2*(b - 1)*(b + 1)/2
Factor 14*f**2 + 37*f**2 + 42*f - 31*f + 85*f - 12.
3*(f + 2)*(17*f - 2)
Let q(k) be the second derivative of 0*k**2 + 0*k**3 + 1/60*k**4 + 0 + 3*k - 1/200*k**5. Suppose q(a) = 0. Calculate a.
0, 2
Let v(m) be the first derivative of 5/9*m**3 + 1/2*m**2 + 1/12*m**4 + 0*m + 34 - 1/15*m**5. Factor v(h).
-h*(h - 3)*(h + 1)**2/3
Let x(y) be the second derivative of y**6/30 + y**5/4 - 11*y + 1. Factor x(i).
i**3*(i + 5)
Factor -16*z**3 + 259*z**4 - 60*z - 80*z**2 - 254*z**4 + z**3.
5*z*(z - 6)*(z + 1)*(z + 2)
Let p(d) = 5*d**2 - 366*d + 6498. Let c(u) = u - 3. Let l(b) = 6*c(b) + p(b). Solve l(g) = 0.
36
Let o = 27 + -33. Let j = o + 18. What is r in -j*r**2 - 3 + 3 + 21*r - 18*r = 0?
0, 1/4
Let j(r) be the second derivative of -r**6/1440 - r**5/80 - r**3/3 + 15*r**2/2 + r + 24. Let n(h) be the second derivative of j(h). Let n(g) = 0. What is g?
-6, 0
Let s(z) = -3*z**3 - 39*z**2 + 90*z - 41. Let w(r) = -r**3 - 19*r**2 + 44*r - 21. Let q(p) = 6*s(p) - 14*w(p). Factor q(m).
-4*(m - 4)*(m - 3)*(m - 1)
Factor 4/7*m**2 + 8/7*m**3 + 2/7*m**4 - 6/7 - 8/7*m.
2*(m - 1)*(m + 1)**2*(m + 3)/7
Find d, given that 4/7*d**2 + 48 - 176/7*d = 0.
2, 42
Factor 2/11*h - 2/11*h**3 + 8/11 - 8/11*h**2.
-2*(h - 1)*(h + 1)*(h + 4)/11
Let o be 1*(2 + 0/(-3)). Let l be 1/(-3) + (-98)/(-42). Suppose x**l + o*x + x - x = 0. What is x?
-2, 0
Let p be ((-4)/(-6))/(1/3). Let z be (-5 - -9) + (-4)/p. Factor 42*h - 51*h + 3 + 7*h**z - h**2.
3*(h - 1)*(2*h - 1)
Let m be (1/(-1))/(172/(-774)) - 6/4. Solve -3*f**m - 3/2 + 0*f**4 + 3/4*f**5 + 9/4*f + 3/2*f**2 = 0 for f.
-2, -1, 1
Suppose -4*k + 5*k = 0, 3*m - k + 99 = 0. Let t be (-8)/(-44) - 93/m. Let 6*f**5 - f**5 + 17*f**4 + t*f**3 - 5*f**4 + 4*f**5 = 0. What is f?
-1, -1/3, 0
Suppose 0*n + n + 111 = 0. Let z = n - -113. Solve 2*p**3 + 1/2*p**5 + 0*p - z*p**4 + 0*p**2 + 0 = 0 for p.
0, 2
Let 4*c + 0*c + 0*c**2 + 0*c - 4*c**2 + 48 = 0. What is c?
-3, 4
Let g be (4/(-18))/(((-56)/42)/2). Solve -1/3*z**5 + 0*z - g*z**3 - 2/3*z**4 + 0 + 0*z**2 =