 - 1/3*d + 1/3*d**3 + 1/6*d**2.
-d*(d - 2)*(d - 1)*(d + 1)/6
Let u(m) be the second derivative of -m**4/15 + 64*m**3/15 + 66*m**2/5 - m - 10. Solve u(a) = 0 for a.
-1, 33
Let m(o) be the first derivative of -26*o**2 + 44 + 338*o + 2/3*o**3. Let m(x) = 0. What is x?
13
Let t(w) = -3*w + 42. Let b be t(0). What is y in -6*y + b*y**2 - 6*y - 45*y**2 = 0?
-4, 0
Suppose 440 = -10*b + 6*b. Let k = 552/5 + b. Solve -k*q**2 - 6/5*q - 4/5 = 0 for q.
-2, -1
Let b = -22214 - -22216. Solve 0 + 48*h**3 - 8/3*h + 32/3*h**5 + 44/3*h**b + 124/3*h**4 = 0.
-2, -1, 0, 1/8
Let y = -657/4 + 13805/84. Let h(q) be the second derivative of -q + 1/105*q**6 - y*q**3 + 0*q**4 - 1/7*q**2 + 1/35*q**5 + 0. Let h(z) = 0. Calculate z.
-1, 1
Factor -8 - 6 + 2*s**3 - 88*s + 86*s - 6*s**2 + 0 + 20*s**2.
2*(s - 1)*(s + 1)*(s + 7)
Determine c, given that -8/15 + 2/5*c + 2/15*c**2 = 0.
-4, 1
Factor -7*n**2 + 11*n**2 + 5*n**2 + 3*n**3 + 0*n**3.
3*n**2*(n + 3)
Let b(f) be the first derivative of -f**4/20 + f**3/15 + 30. Factor b(q).
-q**2*(q - 1)/5
Let n(r) be the first derivative of r**6/9 + 8*r**5/45 - 8*r**4/9 + 4*r**3/27 + 13*r**2/9 - 4*r/3 + 64. Suppose n(s) = 0. Calculate s.
-3, -1, 2/3, 1
Let t(z) = 60*z**2 + 420*z + 290. Let h(x) = -5*x**2 - 35*x - 24. Let q(j) = -35*h(j) - 3*t(j). Factor q(i).
-5*(i + 1)*(i + 6)
Let n = 38 + -34. Let l be (336/(-224))/((-14)/4). Factor 0 + 6/7*m - 6/7*m**3 - l*m**n + 3/7*m**2.
-3*m*(m - 1)*(m + 1)*(m + 2)/7
Let f = 578/1345 - 8/269. Find y such that 4/5*y**2 - f*y**4 + 0*y + 0 - 2/5*y**3 = 0.
-2, 0, 1
Let j = -796/23 + 4118/115. Factor -j*b**4 + 14/5*b**3 + 0 + 2/5*b - 2*b**2.
-2*b*(b - 1)**2*(3*b - 1)/5
Let u(k) be the third derivative of k**7/4620 - k**6/330 + k**5/55 - 2*k**4/33 + 22*k**3/3 - 24*k**2 + 1. Let f(m) be the first derivative of u(m). Factor f(p).
2*(p - 2)**3/11
Let c(l) = l**4 + l**2 + l - 1. Let y(a) = -4*a**5 - 17*a**4 - 16*a**3 + 7*a**2 + 19*a + 9. Let v(m) = c(m) + y(m). Suppose v(g) = 0. What is g?
-2, -1, 1
Let g(z) be the first derivative of -1/6*z**6 + z**4 + 0*z**2 - 4/3*z**3 + 0*z + 1/5*z**5 - 4. Let g(w) = 0. Calculate w.
-2, 0, 1, 2
Solve -109*k**2 - 109*k**2 - 4*k**5 + 24*k**3 + 32*k**4 + 58*k**2 - k**5 + 100*k + 9*k**5 = 0.
-5, 0, 1
Let c(j) = -3 + 3*j**2 - 5*j**2 - 3 - 2*j + 4. Let x(u) = -u**2 - u + 1. Let h(g) = -c(g) - 2*x(g). Let h(s) = 0. Calculate s.
-1, 0
Suppose 40*v = 15*v - 86*v. Factor 6/7*m**2 + v + 0*m + 2/7*m**3.
2*m**2*(m + 3)/7
Let s(m) be the third derivative of -7*m**6/24 + 19*m**5/12 + 95*m**4/6 + 50*m**3/3 + 190*m**2. What is o in s(o) = 0?
-2, -2/7, 5
Let f be (-6)/4*(4 - (0 - -10)). Factor 11*j - 5*j**2 - 56*j + f + 20 + 21.
-5*(j - 1)*(j + 10)
Let n(i) be the second derivative of 0*i**2 - 1/40*i**6 - 16*i - 5/16*i**4 - 1/4*i**3 + 0 - 3/20*i**5. Factor n(y).
-3*y*(y + 1)**2*(y + 2)/4
Let c(b) = -3*b + 3. Let v(m) = -3*m + 3. Let o(a) = -3*c(a) + 4*v(a). Let k(x) = -x**2 - 3*x + 2. Let t(r) = 3*k(r) - 2*o(r). Factor t(y).
-3*y*(y + 1)
Factor -15617 + 72*i - i**5 + 42*i**3 + 100*i**2 + 15617 + 3*i**4.
-i*(i - 9)*(i + 2)**3
Let p be -9 + 492/120 + 5. Suppose p*f**2 + 3/10*f + 0 = 0. What is f?
-3, 0
Let z(q) be the second derivative of q**4/20 + 9*q**3/10 - 3*q**2 - 22*q - 1. What is s in z(s) = 0?
-10, 1
Suppose 17*f = 42 + 60. Let g be (45/10*1)/f. Factor 3/4 - 3/4*s**3 + g*s - 3/4*s**2.
-3*(s - 1)*(s + 1)**2/4
Let z(q) be the second derivative of -q**5/210 - q**4/63 - 98*q. Factor z(v).
-2*v**2*(v + 2)/21
Determine t, given that -73/4*t**2 + 1/4*t**3 + 73/4 - 1/4*t = 0.
-1, 1, 73
Let s(y) be the third derivative of -3*y**5/5 + 31*y**4/6 - 8*y**3 - 28*y**2 - 2. Suppose s(h) = 0. Calculate h.
4/9, 3
Let d = -32/13 - -627/260. Let o = d - -1/4. Factor 0*c - 2/5*c**2 + o*c**3 + 0.
c**2*(c - 2)/5
Let g = 186 + -183. Let v be (366/(-54) - -4) + g. What is h in -8/9*h + v*h**4 - 2/3 + 4/9*h**2 + 8/9*h**3 = 0?
-3, -1, 1
Let v(t) be the third derivative of t**7/630 - t**6/30 + t**5/18 + t**4/6 - 11*t**3/18 - 482*t**2. Suppose v(b) = 0. What is b?
-1, 1, 11
Let a(c) be the second derivative of -c**5/120 - 121*c**4/72 - 310*c**3/3 - 300*c**2 + 856*c. Let a(h) = 0. Calculate h.
-60, -1
Suppose -11 + 3 = 2*t + 4*b, -5*b = 15. Suppose -5*s - 19 = -39. Let 1/4*u**s + 0*u + 3/4*u**3 + 0 + 1/2*u**t = 0. What is u?
-2, -1, 0
Solve 147/5*d**5 + 1350*d**3 + 0 - 60*d**2 + 735*d**4 - 552/5*d = 0 for d.
-23, -2, -2/7, 0, 2/7
Suppose -3*a = o - 12, 26 - 20 = -2*o. Determine p so that -3*p**4 - 6/7*p**3 - 12/7 - 6/7*p**a + 33/7*p**2 + 12/7*p = 0.
-2, -1, 1/2, 1
Factor -17142*u**4 + 2*u**5 - 2 + u**5 + 12*u**2 - u - 10*u**3 + 17140*u**4.
(u - 1)**3*(u + 2)*(3*u + 1)
Let r(d) be the second derivative of 1/14*d**7 + 4*d**3 + 0*d**2 + 0 - 7/10*d**6 - 3*d - 5*d**4 + 27/10*d**5. Determine q so that r(q) = 0.
0, 1, 2
Let o(x) be the second derivative of -x**4/30 - 16*x**3/5 + 49*x**2/5 + 2*x + 104. Let o(y) = 0. Calculate y.
-49, 1
Suppose -4*g = g. Let v = 15556 + -77778/5. Determine h so that g*h**3 + 0*h + 2/5*h**4 - 4/5*h**2 + v = 0.
-1, 1
Factor -27746*q**3 + 0 + 4*q**5 + 27766*q**3 - 8*q**2 - 16*q**4 + 0.
4*q**2*(q - 2)*(q - 1)**2
Let t(k) be the second derivative of -k**5/120 - k**4/8 - 5*k**3/12 - 7*k**2/12 + k - 39. Factor t(w).
-(w + 1)**2*(w + 7)/6
Suppose 5*n = 2*c + 18, -6*c - 20 = -4*n - 3*c. Suppose 2*t - 8 = n. What is r in -r**5 - 3*r**4 + 4*r**t - 6*r**3 + 0*r**5 = 0?
-1, 0, 2
Let w(s) be the second derivative of s**6/75 + 17*s**5/50 - s**4/30 - 17*s**3/15 - 3*s - 51. Factor w(g).
2*g*(g - 1)*(g + 1)*(g + 17)/5
Let k(t) = -2*t - 5. Let y be k(-5). Determine d, given that -4*d + 9*d**2 - 13*d - 7*d + 4*d**3 - y*d**3 + 16 = 0.
1, 4
Solve -2/5*b**2 + 44/5*b + 0 = 0 for b.
0, 22
Let o be (-108)/(-24) - (-4)/(-8). Let t(d) be the first derivative of -1/4*d**3 + o - d + d**2. Factor t(m).
-(m - 2)*(3*m - 2)/4
Let g(t) be the second derivative of -t**5/12 - 5*t**4/24 + 5*t**3/3 - 13*t**2/2 + 3*t. Let o(u) be the first derivative of g(u). Factor o(i).
-5*(i - 1)*(i + 2)
Let v(b) be the first derivative of -3/2*b + 27 - 3/2*b**2 - 1/2*b**3. Factor v(f).
-3*(f + 1)**2/2
Suppose -9 = -5*o + w, -5 = 5*o + w - 26. Factor 4/7 - 8/7*x + 5/7*x**2 - 1/7*x**o.
-(x - 2)**2*(x - 1)/7
Let u(j) be the third derivative of -j**6/840 + 3*j**5/70 + 19*j**4/168 - 28*j**2. Factor u(v).
-v*(v - 19)*(v + 1)/7
Let j be 3 + (-2)/2 + 1. Solve 6*n**4 - 2 + n**3 - 5*n**3 - 2*n**5 + 6*n - 4*n**2 + 0 + 0*n**j = 0.
-1, 1
Let d(v) = -v**2 - 1. Let l(n) = 2*n**2 + 17*n + 1. Let i(c) = -2*d(c) - 2*l(c). Solve i(y) = 0.
-17, 0
Let c = 708 + -706. Let p(t) be the second derivative of -t**4 + 0 + 4/5*t**5 - 2*t - 6*t**3 - 4*t**c. Factor p(r).
4*(r - 2)*(r + 1)*(4*r + 1)
Let a(g) be the first derivative of 2/5*g**5 - 2/3*g**3 + 0*g + g**2 - 16 - 1/2*g**4. Suppose a(s) = 0. Calculate s.
-1, 0, 1
Suppose 4*g + 6 = -2*g. Let k = g - -3. Suppose -8/3*a - 10/3*a**4 - 8/3*a**k + 26/3*a**3 + 0 = 0. Calculate a.
-2/5, 0, 1, 2
Factor 1/7*g**3 + 0*g - 36/7 + g**2.
(g - 2)*(g + 3)*(g + 6)/7
Let i(h) be the second derivative of -h**5/190 + 11*h**4/38 + h**3/57 - 33*h**2/19 + 135*h. What is p in i(p) = 0?
-1, 1, 33
Let z be (-4)/10*(-5)/4. Let a be (-2)/8 + 1 - (-105)/84. Factor 1/2*h - z*h**3 + 0*h**a + 0.
-h*(h - 1)*(h + 1)/2
Let p = 8661/7 - 1237. Find a such that -1/7*a - 2/7*a**2 + 1/7 + p*a**3 - 1/7*a**5 + 1/7*a**4 = 0.
-1, 1
Let n(v) be the second derivative of v**7/8820 - v**6/420 + v**5/84 - 7*v**4/4 + 11*v. Let i(u) be the third derivative of n(u). Factor i(f).
2*(f - 5)*(f - 1)/7
Let y be -9*(-3 - (-573)/(-9)). Determine r so that 595*r**2 - 90*r - y*r**2 - 118 - 287 = 0.
-9
Suppose -2/3*c**2 - 4/9*c + 2/9*c**4 + 0 + 0*c**3 = 0. Calculate c.
-1, 0, 2
Let c(r) be the second derivative of r**5/210 + r**4/42 - 43*r**2/2 - r - 7. Let f(o) be the first derivative of c(o). Let f(v) = 0. What is v?
-2, 0
Factor 11/2*j**2 + 7*j + 2 + 5/4*j**3.
(j + 2)**2*(5*j + 2)/4
Let z(f) be the first derivative of -2*f**6/15 + 2*f**5 - 12*f**4 + 36*f**3 - 54*f**2 - 8*f + 21. Let t(y) be the first derivative of z(y). Factor t(c).
-4*(c - 3)**3*(c - 1)
Let p(y) be the third derivative of -y**7/2100 - y**6/150 - y**5/25 - 2*y**4/15 + 5*y**3/6 + 8*y**2. Let b(k) be the first derivative of p(k). Factor b(w).
-2*(w + 2)**3/5
Let r(g) be the first derivative of -7/6*g**