**2 + 2*r + 2. Let s(a) = -15*a**3 - 9*a**2 - 5*a - 5. Let u(z) = i*b(z) - 2*s(z). Solve u(y) = 0 for y.
-2/5, 0
Let p(n) = n**3 + 2*n + 1. Let u(q) = 11*q**3 + 105*q**2 + 12*q + 6. Let s(b) = 6*p(b) - u(b). Factor s(y).
-5*y**2*(y + 21)
Let r(u) be the second derivative of u**6/10 - 21*u**5/20 + 4*u**4 - 6*u**3 + u - 192. Factor r(o).
3*o*(o - 3)*(o - 2)**2
Let o = 851 - 72333/85. Let r = o + 79/255. Let r*p**2 - 1/3 + 0*p = 0. What is p?
-1, 1
Let s(c) be the first derivative of -3*c**4/4 + 5*c**3 - 21*c**2/2 + 9*c - 165. Factor s(t).
-3*(t - 3)*(t - 1)**2
Suppose -14 = -61*d + 54*d. Let t(g) be the first derivative of -1 - 2*g - 1/4*g**4 - 4/3*g**3 - 5/2*g**d. Factor t(j).
-(j + 1)**2*(j + 2)
Let i = -3451 + 3455. Determine n, given that 4/3*n + 0*n**2 - 3*n**3 + 2/3*n**i + n**5 + 0 = 0.
-2, -2/3, 0, 1
Let w(d) = d**3 - 4*d + 3. Let z be w(2). Let y be -3 + ((-2)/2 - -7). Factor z*u**3 - y*u + 0 + 0 + 0.
3*u*(u - 1)*(u + 1)
Let q(t) be the third derivative of -t**5/12 - 55*t**4/6 + 235*t**3/2 - 666*t**2. Find b such that q(b) = 0.
-47, 3
Let t(g) = -3*g + 30. Let a be t(10). Let c(j) be the third derivative of 0 + 1/15*j**3 + a*j + 1/40*j**4 - 4*j**2 + 1/300*j**5. Factor c(p).
(p + 1)*(p + 2)/5
Let j = -17 + 16. Let i be j*(5 + -3) - -3. Factor -29*c**2 + 8*c**2 + 15*c + 7 - i.
-3*(c - 1)*(7*c + 2)
Solve -8*m + 10*m**2 - 6*m**2 + m**2 - 9*m**2 = 0 for m.
-2, 0
Let y(f) be the second derivative of f**6/10 + 3*f**5/2 + 6*f**4 - 5*f**3 - 75*f**2/2 + 74*f. Solve y(o) = 0 for o.
-5, -1, 1
Let t(x) = 7*x**5 - 2*x**4 - 8*x**3 - 5*x**2 + 4*x + 13. Let u(b) = -2*b**5 + b**4 + b**3 - 3. Let h(j) = -t(j) - 3*u(j). Find v such that h(v) = 0.
-2, -1, 1, 2
What is q in 8 + 2/3*q**3 + 10/3*q - 4*q**2 = 0?
-1, 3, 4
Let k(c) be the second derivative of 4*c**2 - 14/5*c**5 - 18*c - 6*c**3 - 2/21*c**7 + 0 + 4/5*c**6 + 16/3*c**4. Solve k(x) = 0.
1, 2
Let j = 60724/5 - 12144. Solve -j - 1/5*l**2 + 4/5*l = 0.
2
Let v(g) be the third derivative of -g**8/112 + g**6/40 + 39*g**2. Factor v(m).
-3*m**3*(m - 1)*(m + 1)
Let c(m) be the second derivative of 256/15*m**3 + 8/25*m**5 + 1/75*m**6 + 256/5*m**2 + 16/5*m**4 + 0 + 12*m. Solve c(w) = 0 for w.
-4
Let r(q) be the first derivative of 3*q**4/8 - 6*q**3 + 27*q**2/4 + 33*q + 231. Solve r(k) = 0.
-1, 2, 11
Let a be 1 - (-76)/(-84) - ((-20)/(-12) + -3). Find u such that -4/7 - 4/7*u**2 - 8/7*u**3 + 8/7*u**4 + a*u - 2/7*u**5 = 0.
-1, 1, 2
Suppose 4*n = -4*v - 16, -21 = n + 5*v - 1. Suppose -10*l + 5*l + 10 = n. Let 0 - 2/5*q + 3/5*q**l - 1/5*q**3 = 0. What is q?
0, 1, 2
Let l(c) be the second derivative of -c**6/30 + c**4/12 - c**2 + 24*c. Let z(r) = -1. Let k(g) = l(g) - 2*z(g). Solve k(j) = 0.
-1, 0, 1
Let i(a) be the second derivative of -a**5/10 + a**4/6 + 10*a**3/3 + 8*a**2 + 379*a. Suppose i(j) = 0. What is j?
-2, -1, 4
Factor 4/3*a - 7/3*a**4 - 13/3*a**2 + 5*a**3 + 1/3*a**5 + 0.
a*(a - 4)*(a - 1)**3/3
Let g be (-8)/50*(-360)/16. Factor 2/5*a**2 + g - 12/5*a.
2*(a - 3)**2/5
Let y(u) = -u**3 - 3*u**2 + 11*u + 10. Let f be y(-5). Factor -10*v + f*v**3 + 8*v - 8*v + 5*v**2.
5*v*(v - 1)*(v + 2)
Let c(b) be the third derivative of b**7/84 + 7*b**6/16 + 29*b**5/8 + 575*b**4/48 + 20*b**3 - 92*b**2. Solve c(w) = 0 for w.
-16, -3, -1
Let x(h) be the first derivative of -25*h**3/3 + 160*h**2 + 65*h + 28. Factor x(n).
-5*(n - 13)*(5*n + 1)
Let v(d) be the first derivative of -d**3/4 + 15*d**2/4 + 18*d - 160. Solve v(s) = 0 for s.
-2, 12
Suppose -s = 2*i, 0 = -3*i + 1398*s - 1395*s + 18. Suppose -4*a = a. Factor 0 + 3/2*h**i + a*h.
3*h**2/2
Let -27 - 9*t**4 - 45/2*t + 24*t**2 + 3/2*t**5 + 9*t**3 = 0. Calculate t.
-1, 2, 3
Let t be 1737/117 + 2/13. Let -r**2 - t*r + 33*r - 17*r = 0. What is r?
0, 1
Let o(z) be the second derivative of 0 - z**2 - 1/24*z**4 + 1/3*z**3 + 4*z. Factor o(r).
-(r - 2)**2/2
Let w = 28 + -28. Suppose w = -o + r + 6, -4*o + r = -0*r - 9. Factor o - i + 1/4*i**2.
(i - 2)**2/4
Let a = -14 + 17. Suppose 26 = a*i - 58. Factor 6*v**5 + 52*v**3 + 48*v**2 - v + 0*v**5 + 23*v + i*v**4 + 4.
2*(v + 1)**4*(3*v + 2)
Let a(q) be the second derivative of -q**4/72 - q**3/3 + 7*q**2/3 + 2*q + 87. Let a(s) = 0. Calculate s.
-14, 2
Solve -2/13*b**2 - 392/13*b - 19208/13 = 0.
-98
Let u(i) be the third derivative of i**8/84 - 4*i**7/35 + 13*i**6/30 - 4*i**5/5 + 2*i**4/3 - 27*i**2. Factor u(k).
4*k*(k - 2)**2*(k - 1)**2
Suppose v + 4*v - 100 = 0. Let b(q) be the second derivative of 117/4*q**4 - v*q**3 + 7*q + 0 + 6*q**2 - 243/20*q**5. Suppose b(h) = 0. Calculate h.
2/9, 1
Factor 200*g**2 - 20000*g + 2000000/3 - 2/3*g**3.
-2*(g - 100)**3/3
Suppose 0 = -2*k - 5*q + 25, 3*k + 4*q = 12 + 15. Let r(a) be the third derivative of 4*a**2 + 0 + 0*a - 1/15*a**3 - 1/30*a**4 - 1/150*a**k. Factor r(l).
-2*(l + 1)**2/5
Suppose -b = 5*l - 5, 0 = 110*l - 114*l. Let z(g) be the third derivative of 0*g**b - 1/8*g**4 + 1/40*g**6 + 0*g + 0*g**3 + 0 + 9*g**2. Let z(f) = 0. What is f?
-1, 0, 1
Let a be (10/19*-4)/((-95136)/4848). Let g = -2/991 + a. Factor g*l**2 + 0*l + 0.
2*l**2/19
Solve -36*t - 2*t**3 - 1654*t**2 - 20 + 1642*t**2 + 6*t**3 = 0 for t.
-1, 5
Factor -17/3*n**3 + 0 - 2/3*n**4 - 7/3*n**2 + 8/3*n.
-n*(n + 1)*(n + 8)*(2*n - 1)/3
Let z(o) be the first derivative of o**5/70 - 11*o**4/42 + 5*o**3/3 - 25*o**2/7 - o - 27. Let y(x) be the first derivative of z(x). Factor y(m).
2*(m - 5)**2*(m - 1)/7
Suppose 0 = -5*j - 0*j + 4*o + 101, 3*j = -2*o + 65. Suppose k - k - 12 + 9*k**2 + j*k**3 - 24*k**3 = 0. Calculate k.
-1, 2
Factor 2*h**2 + 7131*h + 0*h**2 - 7123*h.
2*h*(h + 4)
Let p(n) be the first derivative of -2*n**3/9 - n**2 + 20*n/3 - 86. Suppose p(r) = 0. Calculate r.
-5, 2
Factor 15/4 + 3/4*m**2 - 23/2*m.
(m - 15)*(3*m - 1)/4
Let l(x) be the third derivative of 1/12*x**3 - 1/480*x**6 - 5/96*x**4 + 4*x**2 + 0*x + 1/60*x**5 + 0. Factor l(d).
-(d - 2)*(d - 1)**2/4
Let k(l) be the third derivative of -19*l**2 - 5/24*l**4 - 7/12*l**5 + 0 - 5/8*l**6 - 13/42*l**7 + 0*l**3 - 5/84*l**8 + 0*l. Factor k(r).
-5*r*(r + 1)**3*(4*r + 1)
Let k(h) be the first derivative of -h**4/10 + 22*h**3/15 - 39*h**2/5 + 18*h - 105. Determine c so that k(c) = 0.
3, 5
Suppose 12 = 2*d - 3*l + 4*l, 0 = 5*d - 5*l. Let v(x) be the first derivative of 4/21*x**3 + 9 - 3/14*x**d + 0*x**2 + 0*x. Factor v(s).
-2*s**2*(3*s - 2)/7
Let a(s) be the second derivative of s**8/1260 - s**7/315 + s**6/216 - s**5/360 + 3*s**3 - 9*s. Let i(k) be the second derivative of a(k). Factor i(p).
p*(p - 1)*(2*p - 1)**2/3
Let f be (2 - (-24)/(-9))*(13/(-2) + -1). Factor 1/3*l**4 - 1/3*l**f + 0*l**2 + 2/3*l**3 + 0*l + 0.
-l**3*(l - 2)*(l + 1)/3
Let q(l) = -l + 1. Let j be q(-1). Let y(f) be the second derivative of 5*f + 0 - 3/13*f**j - 1/78*f**4 - 4/39*f**3. Solve y(r) = 0.
-3, -1
Let a(h) = -h**3 + 2*h**2 - 2*h + 1. Let z be a(2). Let k be 3 + 2 + 0/z + -3. Let -1/4*p**k + 0*p + 0 = 0. What is p?
0
Let z(u) be the first derivative of u**6/30 - u**5/4 + u**4/3 + u**3/2 - 11*u**2 + 28. Let w(f) be the second derivative of z(f). Solve w(l) = 0 for l.
-1/4, 1, 3
Suppose 127*a - 122*a = 30. Suppose -2*f - 21 = -4*x - 5*f, -3*x + 5*f = 6. Determine v so that 0 - a*v**2 + 3*v + 9/4*v**x = 0.
0, 2/3, 2
Let f = 2237/9 - 745/3. Let f*q**2 - 2/9*q**4 + 0*q**3 + 0 + 0*q = 0. What is q?
-1, 0, 1
Let a be -1 + 8 + (-20 - -15). Let p be 0*-3*a/(-6). Determine r so that -1/7*r**2 + 3/7*r**4 + 2/7*r**3 + p*r + 0 = 0.
-1, 0, 1/3
Let s be (-17)/((-153)/18)*6. Let c(g) be the first derivative of -s*g + 39*g**2 - 4 - 35*g**3 - 147/8*g**4. What is r in c(r) = 0?
-2, 2/7
Let h(l) = l + 11. Let m be h(-7). Solve m*w - 4 - 4*w**3 + 4*w**2 + 6*w - 6*w = 0 for w.
-1, 1
Let q = 27 - 19. Let c = q + -5. Find w such that -2*w**3 - 5*w**4 + 4*w**c - 4*w**4 + 7*w**4 = 0.
0, 1
Let v(r) = 19 - r - 159*r**2 + 161*r**2 - 17. Let o(k) = 2*k**2 + 5*k**2 - 4*k**2 + 3. Let l(q) = -5*o(q) + 6*v(q). Determine g, given that l(g) = 0.
-1
Let a(u) be the third derivative of -1/12*u**6 + 33*u**2 + 19/12*u**5 + 0*u + 0 - 25/3*u**4 - 125/6*u**3. Let a(o) = 0. Calculate o.
-1/2, 5
Let w(r) be the third derivative of 0*r**6 + 0*r**3 + 1/2184*r**8 + 14*r**2 + 0*r**4 + 0*r**5 + 0*r + 1/1365*r**7 + 0. Factor w(n).
2*n**4*(n + 1)/13
Let t(b) be the third derivative of -b**6/720 - b**3/2 + 9*b**2. Let n(c) be the first derivative of t(c). De