16 - 63*q**2 + 66*q + 24*q**3 + 31*q**4 - 34*q**4.
-3*(q - 4)*(q - 2)*(q - 1)**2
Let o(k) be the third derivative of -18*k**2 + 0*k**3 - 4/525*k**7 - 1/280*k**8 + 1/300*k**6 + 0*k**4 + 0*k + 0 + 1/75*k**5. Suppose o(b) = 0. What is b?
-1, 0, 2/3
Let p = 2564 - 2561. Let 5/2*y**2 + 1/6 + 4/3*y**p - 8/3*y**4 - 4/3*y = 0. What is y?
-1, 1/4, 1
Let p be 3/(-6*2/(-20)). Let t(c) = c**3 - 3*c**2 - 2*c + 4. Let g be t(p). Factor -f**3 + g*f**2 - 19*f**2 + f + 1 - 26*f**2.
-(f - 1)*(f + 1)**2
Let a(b) be the first derivative of b**5/30 + 8*b**4/3 - 65*b**3/18 + 133. Suppose a(x) = 0. What is x?
-65, 0, 1
Let k(c) = c**3 + 10*c**2 - 11*c + 14. Let t be k(-11). Let a = t - 7. Determine b, given that -a*b**2 - 3*b**5 + 10*b + 6*b**4 + 0*b + b**2 - 7*b = 0.
-1, 0, 1
Let y(g) be the first derivative of g**6/160 + 3*g**5/80 + 3*g**4/32 + g**3/8 - 9*g**2 - 11. Let l(j) be the second derivative of y(j). Factor l(d).
3*(d + 1)**3/4
Let i be 0 + 10/8 + 126/(-168). Solve w**2 + 0 - i*w**3 + 3/2*w = 0.
-1, 0, 3
Let c(s) be the third derivative of -s**7/70 - 11*s**6/20 + 5*s**5/4 + 23*s**4/4 - 785*s**2. Find i such that c(i) = 0.
-23, -1, 0, 2
Suppose -7*h + 2144 + 2630 = 0. Let s = h + -4766/7. Suppose -s*y**2 + 0*y - 4/7*y**4 + 12/7*y**3 + 0 = 0. What is y?
0, 1, 2
Let b(j) be the second derivative of -1/24*j**3 + 1/80*j**5 + 0 - 1/240*j**6 - 17*j + 1/96*j**4 + 0*j**2. Factor b(d).
-d*(d - 2)*(d - 1)*(d + 1)/8
Suppose 5*k + t - 6 = 0, -2*k - 2*t - 6 = -k. Let z = 14 - 14. Factor -6/7*r**3 - 3/7*r**4 - 3/7*r**k + 0 + z*r.
-3*r**2*(r + 1)**2/7
Let d(z) = 2*z - 1. Let v be d(3). Suppose -v*b = -3*x - 14, b - 24 = -2*x - 4*b. Factor 9*a**3 + x*a**3 + 3*a**3 - 2*a - 2*a**2 - 8*a**4 - 2*a**2.
-2*a*(a - 1)**2*(4*a + 1)
Let g(k) be the third derivative of 14*k**2 + 1/3*k**5 + 0*k - 35/24*k**4 + 0 - 5/3*k**3. Determine u so that g(u) = 0.
-1/4, 2
Let q(m) = 3*m - 24. Let f be q(9). What is u in -f*u + 7*u + 0*u - 3*u**3 + 5*u - 6*u**2 = 0?
-3, 0, 1
Let t = 257/4340 + -2/217. Let d(i) be the third derivative of t*i**6 + 0*i**3 - 8*i**2 + 1/70*i**7 + 0*i**5 + 0 + 0*i**4 + 0*i. Suppose d(c) = 0. What is c?
-2, 0
Let x(q) be the second derivative of -q**4/3 + 2*q**3/3 + 4*q**2 + 78*q. Factor x(z).
-4*(z - 2)*(z + 1)
Let w(u) be the second derivative of -u**5/10 + 7*u**4/2 - 56*u**3/3 + 36*u**2 - u + 87. Determine v so that w(v) = 0.
1, 2, 18
Let q be (-66)/990 + 158/1320. Let j(u) be the third derivative of q*u**4 + 0 + 5*u**2 - 1/165*u**6 + 0*u - 2/165*u**5 - 2/33*u**3. Factor j(l).
-2*(l + 2)*(2*l - 1)**2/11
Let k(p) = -2*p**2 + 11*p - 3. Let n be k(5). Factor 4*i**n - 5*i + 2*i**3 - 16*i**3 + 9*i**3 + 2 + 4*i**3.
-(i - 2)*(i - 1)**2
Suppose 6/5*x**2 + 39/5*x**3 - 63/5*x**5 - 6*x**4 + 0*x + 0 = 0. Calculate x.
-1, -1/7, 0, 2/3
Let 15*f**3 - 3*f**4 + 17*f**3 - 53*f**3 + 18*f**3 = 0. Calculate f.
-1, 0
Let l(r) be the second derivative of 1/6*r**3 - 31*r - 1/20*r**5 + 0 - 1/4*r**4 + 3/2*r**2. Factor l(u).
-(u - 1)*(u + 1)*(u + 3)
Let o(i) be the first derivative of -i**7/21 + i**6/15 + i**5/10 - i**4/6 + 4*i + 20. Let z(b) be the first derivative of o(b). Suppose z(g) = 0. What is g?
-1, 0, 1
Let v(h) be the third derivative of h**8/13440 - 7*h**4/24 + h**2. Let k(q) be the second derivative of v(q). Factor k(j).
j**3/2
Let m be (-14)/21 - (-105)/9. Let 5*j - 15*j**2 + m - 5*j**3 + 0 + 11 - 7 = 0. Calculate j.
-3, -1, 1
Let b = 23110/75023 + -2/5771. Factor 2/13*f + 2/13*f**3 + 0 - b*f**2.
2*f*(f - 1)**2/13
Find d such that 0 - 144*d + 126*d**2 - 2/3*d**4 + 2/3*d**5 - 30*d**3 = 0.
-8, 0, 3
Let z = 247 + -54. Let b = 581/3 - z. Find u such that -u + b*u**2 + 1/3 = 0.
1/2, 1
Let m(l) be the third derivative of 0*l**5 + 1/30*l**6 + 0*l**3 + 0 + 0*l**7 - 15*l**2 + 0*l**4 + 0*l - 1/84*l**8. Determine n so that m(n) = 0.
-1, 0, 1
Let k be (-182)/(-12) + 5 + -7. Let w = k + -77/6. Factor 0 - 1/3*d + w*d**2.
d*(d - 1)/3
Let d = -363 - -368. Let v(f) be the third derivative of 0 - f**2 + 3/20*f**d + 0*f - 3/4*f**4 - 1/80*f**6 + 2*f**3. Factor v(w).
-3*(w - 2)**3/2
Let h = 19815 + -297349/15. Let w = -8 - h. Factor -2/3*a**2 + w*a + 2/5*a**3 + 0.
2*a*(a - 1)*(3*a - 2)/15
Let q(j) be the second derivative of 15*j + 1/18*j**4 + 1/3*j**3 + 0 + 0*j**2. Find t, given that q(t) = 0.
-3, 0
Let r(c) be the first derivative of c**3/9 - 32*c**2/3 + 1024*c/3 + 63. Factor r(v).
(v - 32)**2/3
Let p be (((-200)/(-285))/10)/(12/78). Let d(y) be the first derivative of -12/19*y**2 - 8/19*y - 2/95*y**5 + 4 - p*y**3 - 3/19*y**4. What is b in d(b) = 0?
-2, -1
Let z(o) be the third derivative of 1/110*o**5 + 0*o - 3/22*o**4 + 9/11*o**3 + 31*o**2 + 0. Suppose z(q) = 0. Calculate q.
3
Let m = 57 + -56. Let u be 0/((-2)/(-8)*4)*m. Factor 0 + u*g - 2*g**5 - 1/2*g**2 - g**3 + 7/2*g**4.
-g**2*(g - 1)**2*(4*g + 1)/2
Let g = -30 + 27. Let q be 9/(-6)*(-5 - g). Find a such that -10*a**q + 0*a**3 + 5*a**2 + 3*a**4 + 3*a**4 - a**4 = 0.
0, 1
Let f be ((-14)/(-38)*900/105)/(15/10). Suppose -8/19 + f*b - 124/19*b**3 - 90/19*b**4 + 14/19*b**2 = 0. What is b?
-1, 2/9, 2/5
Let i(f) be the second derivative of -f**9/30240 - f**8/3360 - f**7/1008 - f**6/720 - f**4 + 2*f. Let d(g) be the third derivative of i(g). Factor d(k).
-k*(k + 1)**2*(k + 2)/2
Let t(b) be the third derivative of -b**6/120 - 11*b**5/60 - 5*b**4/6 + 16*b**3/3 + 153*b**2. Factor t(g).
-(g - 1)*(g + 4)*(g + 8)
Suppose 42 = -3*x - 15. Let p = x + 21. Factor p*q**3 + 12 - 5 - 8 + q**4 + q - 3*q.
(q - 1)*(q + 1)**3
Let v be 3 - 16 - 30/(-2). Factor -16/7*y + 16/7 - 4/7*y**v + 4/7*y**3.
4*(y - 2)*(y - 1)*(y + 2)/7
Let j(u) be the second derivative of 0*u**4 + 1/273*u**7 + 0*u**3 + 0 - 1/195*u**6 - 9*u + 0*u**5 + 0*u**2. Factor j(y).
2*y**4*(y - 1)/13
Let z(x) be the first derivative of -5*x**3/7 - 759*x**2/14 + 306*x/7 - 108. Solve z(y) = 0.
-51, 2/5
Let w(l) = 10*l**4 - 34*l**3 - 6*l**2 + 18*l + 12. Let c(h) = 3*h**4 - 11*h**3 - 2*h**2 + 6*h + 4. Let b = -36 - -52. Let i(y) = b*c(y) - 5*w(y). Factor i(o).
-2*(o - 1)*(o + 1)**2*(o + 2)
Let h = -45 - -48. Factor 55*c + 27*c**4 + 11*c + 14*c + 144*c**2 + 16 + 108*c**h.
(c + 2)*(3*c + 2)**3
Suppose -4*f + 75 + 21 = 0. Suppose -5*y + 1 + f = 0. Factor 18 - y*u - 3*u**2 - u - 18.
-3*u*(u + 2)
Let n(y) be the third derivative of -y**6/40 - y**5/10 + y**4/2 + 4*y**3 + 9*y**2 + 2*y. Factor n(v).
-3*(v - 2)*(v + 2)**2
Let g(w) be the third derivative of 0*w**4 - 37*w**2 + 0*w**3 + 27/40*w**5 + 0 + 1/420*w**7 + 3/40*w**6 + 0*w. Factor g(h).
h**2*(h + 9)**2/2
Factor 90*i**2 + 315 - 3*i**4 + i**4 + 142*i**3 - 34*i**3 + 5*i**4 - 516*i.
3*(i - 1)**2*(i + 3)*(i + 35)
Let s = -1033/2 + 11371/22. Let f be (-2)/(-2) + 9/(-11). Let -s*a - 2/11*a**4 + 4/11*a**3 + 0 + f*a**2 = 0. Calculate a.
-1, 0, 1, 2
Suppose -56*o = -59*o + 15. Factor -4*z**3 + z + 0*z + o*z**3 + 0*z**2 + 2*z**2.
z*(z + 1)**2
Let t(k) = 25*k + 13*k**3 - 19*k**3 - 7 + 5*k**2 + 5*k**2. Let y(v) = -v**3 - 1. Let u(n) = -4*t(n) + 28*y(n). Suppose u(z) = 0. What is z?
-5, 0
Suppose 5 - 17 = -4*b. Let 0*q**2 + 9*q**2 - 10*q**2 + b*q - 2 = 0. What is q?
1, 2
Determine t so that 30*t - t**2 + t**2 + 5*t**2 - 2*t**2 = 0.
-10, 0
Suppose 140*t - 143*t = -9. Factor -9/5 - t*h**2 + 3/5*h**3 + 21/5*h.
3*(h - 3)*(h - 1)**2/5
Let h(k) = -12*k + 696. Let q be h(58). Find u, given that -2/11*u**4 + 0*u + q*u**3 + 4/11*u**2 - 2/11 = 0.
-1, 1
Let r(l) be the third derivative of 0*l - 1/3*l**4 + 2/5*l**3 - 1/25*l**6 + 0 + 4/25*l**5 + 2/525*l**7 - 16*l**2. Solve r(j) = 0 for j.
1, 3
Let j(v) be the first derivative of -2*v**3/21 + 16*v**2/7 - 128*v/7 + 80. Find s, given that j(s) = 0.
8
Let u(s) be the second derivative of s**5/105 + s**4/42 + 5*s**2/2 - 9*s. Let c(t) be the first derivative of u(t). Find k such that c(k) = 0.
-1, 0
What is q in -21 - 41/2*q + 1/2*q**2 = 0?
-1, 42
Factor 3/2*i**2 - 3267/4 - 3/4*i**4 + 12*i**3 - 396*i.
-3*(i - 11)**2*(i + 3)**2/4
Factor 2*s**3 + 2079*s - s**2 - 1042*s - 1040*s.
s*(s + 1)*(2*s - 3)
Let 0*b**3 + 2*b**3 - 144*b**2 + 144*b**2 = 0. Calculate b.
0
Let k(y) be the first derivative of -2*y**3/57 - 32*y**2/19 - 512*y/19 + 128. Determine q, given that k(q) = 0.
-16
Let j = 43391/3 - 14460. Determine c so that -3*c**4 - 5*c**3 + 2/3 + j*c**2 + 11/3*c = 0.
-2, -1/3, 1
Suppose 0*f - 11*f + 22 = 0. Factor -g - f*g**2 - 4*g + 6*g**2 - 3*g.
4