/3*i**3 - 4/3*i**2.
-2*(i - 1)*(i + 1)*(5*i + 2)/3
Suppose -12/11 + 2/11*t**2 - 2/11*t = 0. Calculate t.
-2, 3
Let s(v) be the third derivative of -v**5/420 + 5*v**4/168 - 2*v**3/21 + 64*v**2. Factor s(l).
-(l - 4)*(l - 1)/7
Let d(m) be the third derivative of 0 - 1/3*m**3 + 0*m - 1/72*m**4 + 1/180*m**5 - 4*m**2. What is h in d(h) = 0?
-2, 3
Let 2/5*i**4 + 2*i**3 + 2*i**2 - 2*i - 12/5 = 0. Calculate i.
-3, -2, -1, 1
Let b(a) be the third derivative of -a**7/525 + 13*a**6/300 - 2*a**5/25 + 453*a**2. Factor b(z).
-2*z**2*(z - 12)*(z - 1)/5
Let -92/9*o**2 - 14/9 - 22/9*o**4 - 68/9*o**3 - 58/9*o - 2/9*o**5 = 0. Calculate o.
-7, -1
Let h(p) be the third derivative of -p**8/168 - 4*p**7/105 - p**6/60 + p**5/5 + 131*p**2. Find v such that h(v) = 0.
-3, -2, 0, 1
Factor -5*c**2 - 108*c - c**2 - 3*c**2 - 21 + 7*c**2 - 85.
-2*(c + 1)*(c + 53)
Let u be 1*-1*4/(-2). Let k be (-3)/(-3) + u + 1. Let -m**3 - 2*m**3 - 2*m**k + m**4 - 2*m**2 = 0. Calculate m.
-2, -1, 0
Let r(f) be the second derivative of 2*f**6/15 + 28*f**5/5 + 90*f**4 + 648*f**3 + 1458*f**2 + 143*f. Factor r(p).
4*(p + 1)*(p + 9)**3
Let z(y) = 3*y**2 + 15*y + 9. Let k(r) = -3*r**2 - 16*r - 8. Let c = -54 - -57. Let d(u) = c*k(u) + 4*z(u). Factor d(a).
3*(a + 2)**2
Suppose 4*b = 15 + 17. Let a(d) = d - 4. Let i be a(b). Factor -3*w**2 + 4*w + 6*w**i + 16*w**3 + 16*w**2 + w**2.
2*w*(w + 1)**2*(3*w + 2)
Let d(r) = 9*r - 194. Let b be d(22). Let i(c) be the third derivative of 0*c**3 + 0*c + 1/8*c**4 + 0 - b*c**2 + 1/20*c**5. Suppose i(w) = 0. What is w?
-1, 0
Suppose -21*q - 10 = 29*q - 55*q. Factor 12*o**q + 1/3 - 4*o.
(6*o - 1)**2/3
Let f(t) be the first derivative of t**6/10 + 3*t**5/25 + 178. Factor f(u).
3*u**4*(u + 1)/5
Suppose -5*l - v - 4 = 0, -l - 5*v - 3 = 17. Let w(j) be the second derivative of l*j**2 + 5*j + 0 + 0*j**4 + 1/5*j**5 - 2/3*j**3. Let w(q) = 0. Calculate q.
-1, 0, 1
Let r(v) = -v**3 - 2*v**2 + 2*v + 4. Let k be r(-3). Solve k*o**3 + 0*o**3 + 9*o**2 - 4*o**3 = 0 for o.
-3, 0
Let l = 303515/7 + -43353. Factor 8/7*b + 36/7*b**3 + 0 + l*b**2.
4*b*(b + 1)*(9*b + 2)/7
Let b(d) be the second derivative of 12*d + 0 - 5/6*d**4 + 1/4*d**5 + 0*d**3 + 0*d**2. Factor b(n).
5*n**2*(n - 2)
Let n(i) be the second derivative of -i**7/378 + i**6/90 - i**5/90 - 50*i - 1. Let n(a) = 0. Calculate a.
0, 1, 2
Let m(j) = -j**3 - 2*j + 10. Let n be m(0). Solve 12*a**2 - 2*a**2 - 8*a**2 + 12 + n*a = 0.
-3, -2
Let n(a) be the third derivative of -a**7/126 - 13*a**6/360 - a**5/20 + a**4/72 + a**3/9 - 16*a**2 - 2. Suppose n(x) = 0. What is x?
-1, 2/5
Let c(x) be the third derivative of 2*x**7/45 - 13*x**6/180 + x**5/30 - 118*x**2. Factor c(h).
2*h**2*(2*h - 1)*(7*h - 3)/3
Let f be (-424)/1050 + (69/7 - 10). Let r = 3/25 - f. Factor 4/3*q**4 + r*q**2 + 0*q - 1/3*q**5 + 0 - 5/3*q**3.
-q**2*(q - 2)*(q - 1)**2/3
Determine b so that 0*b + 0*b**2 - 1/9*b**4 + 1/3*b**3 + 0 = 0.
0, 3
Let y(r) be the first derivative of 3*r**5/25 - 3*r**4/10 - 3*r**3/5 + 6*r**2/5 + 12*r/5 - 140. Factor y(x).
3*(x - 2)**2*(x + 1)**2/5
Factor 0 + 0*v - 2/5*v**4 - 8/5*v**3 - 6/5*v**2.
-2*v**2*(v + 1)*(v + 3)/5
Let i be 222/168 - (828/(-48))/(-23). Factor -6/7 - i*d + 2/7*d**2.
2*(d - 3)*(d + 1)/7
Let b(v) be the second derivative of v**5/60 - v**4/18 - 40*v. Determine g, given that b(g) = 0.
0, 2
Let k(z) be the second derivative of -7*z + 0*z**3 - 8/225*z**6 + 1/45*z**4 + 1/63*z**7 + 0 + 1/150*z**5 + 0*z**2. Factor k(y).
2*y**2*(y - 1)**2*(5*y + 2)/15
Let c be (-2)/(-33) + (1600/125)/((-33)/(-5)). Let g be (1/(-1))/(2/(-6)). Find d such that -c*d**g - 2 - 10/3*d + 22/3*d**2 = 0.
-1/3, 1, 3
Let l(r) be the first derivative of -3*r**7/56 + r**6/4 - 7*r**5/20 + r**4/6 + 5*r - 30. Let h(u) be the first derivative of l(u). What is w in h(w) = 0?
0, 2/3, 2
Let g(j) be the first derivative of j**6/14 + 12*j**5/35 + 9*j**4/28 + 228. Solve g(c) = 0 for c.
-3, -1, 0
Let q = 117 - 815/7. Suppose 0 = -10839*x + 10825*x + 70. Suppose -2/7*o**x - 2/7*o - 2/7*o**4 + q*o**3 - 2/7 + 4/7*o**2 = 0. Calculate o.
-1, 1
Let w be (-10 + 10)/((-18)/6). Let z(l) be the third derivative of 5/4*l**4 + w + 1/12*l**5 + 0*l - 14*l**2 + 15/2*l**3. Factor z(f).
5*(f + 3)**2
Let o(c) be the second derivative of -c**6/1440 + c**5/160 + 19*c**3/6 - 29*c. Let i(m) be the second derivative of o(m). Let i(d) = 0. What is d?
0, 3
Let i(v) be the third derivative of -v**7/630 - v**6/180 + 7*v**5/180 - v**4/18 - v**2 + 14. Factor i(h).
-h*(h - 1)**2*(h + 4)/3
Let b(v) = -v + 1. Let o(a) = 6*a**3 - 4 + 9*a**2 - 11*a**2 + 2*a**3 + 3*a + a. Let g be (-1)/(-1)*2 - -2. Let s(c) = g*b(c) + o(c). Factor s(i).
2*i**2*(4*i - 1)
Let y(a) be the third derivative of a**5/360 - a**3/4 + 2*a**2 - 22*a. Determine b, given that y(b) = 0.
-3, 3
Suppose 0 = k - 38338 - 15662. Factor -123*b - 188*b + 28 + 10800*b**2 + 4 - 649*b - k*b**3 + 101250*b**4.
2*(15*b - 2)**4
Let z be 17/(-51) - (-13)/110*1. Let q = -1/66 - z. Factor -3/5*f - 2/5*f**2 + 3/5*f**4 + q*f**5 - 1/5 + 2/5*f**3.
(f - 1)*(f + 1)**4/5
Let j(v) be the third derivative of v**6/40 + 3*v**5/20 - v**4/2 + 26*v**2 - 5*v. Factor j(a).
3*a*(a - 1)*(a + 4)
Let o(f) be the first derivative of 3*f**4/8 + 19*f**3/3 + 73*f**2/12 + 2*f - 54. What is s in o(s) = 0?
-12, -1/3
Suppose -310 = -3*c + 5*q - 0*q, -20 = 4*q. Let u = -1233/13 + c. What is r in 0 + 0*r + 2/13*r**5 + u*r**4 - 2/13*r**3 - 2/13*r**2 = 0?
-1, 0, 1
Let v be (-8 - -12)/(-24)*-3. Let p(q) be the second derivative of -1/10*q**5 + 0 + 5/3*q**3 + 5*q - v*q**4 + 1/15*q**6 - 2*q**2. Find g, given that p(g) = 0.
-2, 1
Let o(a) be the second derivative of a**7/210 - a**6/50 - 9*a**5/50 + 9*a**4/10 + 27*a**3/10 - 243*a**2/10 + 83*a. Factor o(v).
(v - 3)**3*(v + 3)**2/5
Let m(s) be the second derivative of 1/3*s**3 + 0 - 1/40*s**5 + 0*s**4 + 0*s**2 + 2*s. Find f, given that m(f) = 0.
-2, 0, 2
Solve -1 - 9588*z**2 - 15 - 3300*z - 10404*z**3 + 4100*z = 0.
-1, 2/51
Factor -16/9*i**4 - 2/3*i**3 + 0*i + 0 + 0*i**2.
-2*i**3*(8*i + 3)/9
Suppose 4*x + 23 = 141*b - 142*b, -10 = 5*b + 5*x. Factor -b - 1/5*y**2 + 2*y.
-(y - 5)**2/5
Let y(x) be the third derivative of -x**7/1155 + x**6/165 - x**5/66 + x**4/66 - 27*x**2 - 2. Determine s, given that y(s) = 0.
0, 1, 2
Let l(p) be the third derivative of p**8/588 - p**6/105 + p**4/42 + 445*p**2. Factor l(n).
4*n*(n - 1)**2*(n + 1)**2/7
Let f be 187/4 - 4/16 - (-228)/152. Suppose 4/3*w**2 + f + 16*w = 0. What is w?
-6
Let n(q) = -47*q + 801. Let f be n(17). Let k(m) be the third derivative of -1/120*m**5 + 1/24*m**4 - m**f + 1/4*m**3 + 0*m + 0. Find p such that k(p) = 0.
-1, 3
Let h(y) = y**3 + 12*y**2 - 4*y + 117. Let t be h(-13). Factor 6*b**2 - 3*b + t + 3/4*b**4 - 15/4*b**3.
3*b*(b - 2)**2*(b - 1)/4
Let k be -30*(1/5)/(6/(-15)). Find x, given that 10*x**2 + k*x + 10*x**3 - 7*x**3 - 8*x**3 = 0.
-1, 0, 3
Let g be 0/(17 + -16 - 1*-1). Let w(m) be the third derivative of g + 1/135*m**5 + 0*m**4 + 1/540*m**6 + 0*m + 4*m**2 + 0*m**3. Factor w(h).
2*h**2*(h + 2)/9
Let g(k) be the second derivative of k**6/1380 + k**5/345 + k**4/276 + 9*k**2/2 + 13*k. Let y(j) be the first derivative of g(j). Factor y(n).
2*n*(n + 1)**2/23
Let h(n) be the third derivative of -n**6/30 - n**5/3 - 2*n**4/3 - 68*n**2. Suppose h(a) = 0. Calculate a.
-4, -1, 0
Let c(l) be the third derivative of 22*l**2 + 0 + 1/75*l**6 - 3/100*l**5 + 1/210*l**7 + 0*l + 2/15*l**3 - 1/15*l**4. Let c(q) = 0. What is q?
-2, -1, 2/5, 1
Let j = 173/15 - 51/5. Determine k, given that 0 + 4/3*k + j*k**2 = 0.
-1, 0
Factor 6/5*f**2 - 4/5 + 6/5*f - 4/5*f**3.
-2*(f - 2)*(f + 1)*(2*f - 1)/5
Let n = 10 + -1. Let i = n - 1. Factor -2*v + i*v - 5*v + 3*v**2.
v*(3*v + 1)
Let v(k) = 3*k**4 + 3*k**3 - 11*k**2 - 3*k + 8. Let f(t) = 2*t**4 + 2*t**3 - 7*t**2 - 2*t + 5. Let h(a) = -8*f(a) + 5*v(a). Factor h(d).
-d*(d - 1)*(d + 1)**2
Let d(u) be the third derivative of 7*u**8/32 + 23*u**7/10 + 123*u**6/80 - 149*u**5/20 - 43*u**4/4 - 6*u**3 + 499*u**2. Find s, given that d(s) = 0.
-6, -1, -2/7, 1
Let z(p) be the second derivative of 0*p**2 + 1/5*p**5 - 14*p + 0 + 5/12*p**4 + 1/3*p**3 + 1/30*p**6. Factor z(q).
q*(q + 1)**2*(q + 2)
Let b be ((-540)/(-48))/(-9) - (0 - 2). Let h(n) be the second derivative of 0*n**2 + 3/20*n**5 + 0 - b*n**4 - 13*n + 0*n**3. Solve h(i) = 0.
0, 3
Let f(c) = -c**2 - 21*c - 34. Le