-7*t = 2 + 40. Let m be (8 - 20)*2/t. Let 18*r + 6*r + 9*r**2 - 36*r + 7*r**3 - m = 0. What is r?
-2, -2/7, 1
Let v(j) be the first derivative of -5*j**6/24 + 3*j**5/40 + 5*j**4/8 - j**3/4 - 5*j**2/8 + 3*j/8 - 561. Solve v(a) = 0 for a.
-1, 3/10, 1
Let y be ((-6)/(-15))/(16/120). Let u(a) be the second derivative of 0 + 0*a**y + a + 1/36*a**4 + 0*a**2 - 1/60*a**5. Let u(d) = 0. What is d?
0, 1
Let m(t) be the second derivative of -t**6/11 + 41*t**5/55 - 2*t**4 + 8*t**3/11 + 64*t**2/11 + 2084*t. Factor m(a).
-2*(a - 2)**3*(15*a + 8)/11
What is u in 8/7 - 6/7*u**2 - 22/7*u = 0?
-4, 1/3
Let h(k) be the first derivative of -k**4/2 - 64*k**3/3 + k**2 + 64*k + 267. Factor h(z).
-2*(z - 1)*(z + 1)*(z + 32)
Let m(o) be the first derivative of -o**4/8 + o**3/3 + 175*o**2/4 + 392*o + 510. Factor m(b).
-(b - 16)*(b + 7)**2/2
Let b be (4 - 3) + -3 + 3 + 3. Let g(n) be the first derivative of -1/14*n**b - 3/35*n**5 + 3 + 1/7*n**2 + 4/21*n**3 - 1/7*n. Solve g(j) = 0 for j.
-1, 1/3, 1
Let b be (-35 - -28) + 181/9. Let a = b + -112/9. Factor -a*o**2 - 6 + 4*o.
-2*(o - 3)**2/3
Let o(l) be the second derivative of 1/66*l**4 - 1/330*l**5 - 15*l - 1/33*l**3 + 0 - 5/2*l**2. Let g(j) be the first derivative of o(j). Solve g(s) = 0 for s.
1
Let r be (-1 + (1 - -1))/((-46)/(-23)). Let m(d) be the first derivative of 4/5*d**5 - r*d**4 - 9 + 0*d**2 + 0*d + 1/3*d**6 - 4/3*d**3. Solve m(z) = 0.
-2, -1, 0, 1
Let w(d) be the third derivative of d**9/3780 - d**8/336 + 2*d**7/315 - 41*d**4/24 - 105*d**2. Let l(t) be the second derivative of w(t). Factor l(u).
4*u**2*(u - 4)*(u - 1)
Let t = 187 - 129. Let r = t + -56. Factor -26 + 6*n + 17 - 15*n**r + 18.
-3*(n - 1)*(5*n + 3)
Suppose -8*o = 2640 - 2656. Let s(q) be the third derivative of 0 + 6*q**o + 0*q + 1/6*q**3 - 5/48*q**4 + 1/40*q**5. Solve s(y) = 0 for y.
2/3, 1
Suppose 4 - 1/2*l**3 - 17/2*l + 5*l**2 = 0. What is l?
1, 8
Let k(s) be the third derivative of 113*s**2 - 13/16*s**4 + 0 + 0*s + 9/4*s**3 + 1/30*s**5. Factor k(c).
(c - 9)*(4*c - 3)/2
Let p be ((-11)/(-5) - 2)/(124/(-424080)*-189). Solve 8/21*h**3 - 16/21 + p*h - 50/21*h**2 = 0 for h.
1/4, 2, 4
Let a = 1209 - 1198. Suppose k - 3*s = a, 9*k = 6*k - s + 3. Determine b so that 3/8*b**3 + 225/8*b + 375/8 + 45/8*b**k = 0.
-5
Suppose 2*y = -o + 14 - 5, 16 = 2*o + 3*y. Let q(k) = 2*k**2 - 5*k + 5. Let t(v) = -9*v**2 + 18*v - 21. Let s(u) = o*t(u) + 21*q(u). Factor s(i).
-3*i*(i + 5)
Let i(k) = 8*k - 51. Let r be i(6). Let a(t) = t**3 + t**2 + t - 1. Let m(f) = -2*f**3 - 2*f**2 - f + 1. Let j(s) = r*m(s) - 3*a(s). Solve j(u) = 0.
-1, 0
Let w be 35768/7890 + (-20)/6. Suppose 3/5*n**2 + w*n + 0 = 0. What is n?
-2, 0
Let o(q) = 67*q**3 + 1806*q**2 - 3830*q + 1889. Let s(n) = -16*n**3 - 452*n**2 + 956*n - 472. Let r(b) = -4*o(b) - 17*s(b). Let r(l) = 0. What is l?
-117, 1
Let n(f) be the second derivative of -2*f**6/15 + 304*f**5/5 - 6848*f**4 - 778240*f**3/3 - 3276800*f**2 - 2004*f. Let n(g) = 0. Calculate g.
-8, 160
Let u(c) = 3*c**2 - 6*c - 5. Let g(p) be the third derivative of -p**5/30 + p**4/4 + p**3 + 60*p**2. Let d(r) = -4*g(r) - 3*u(r). Factor d(x).
-(x + 3)**2
Let q(b) = b + 20. Let u be q(-13). Solve 8*x**2 + u*x**2 - 10 + 10 + 5*x**3 + 10*x = 0 for x.
-2, -1, 0
Let u = 443320 + -443318. Factor -12 + 4/3*a**u + 4*a - 4/9*a**3.
-4*(a - 3)**2*(a + 3)/9
Suppose -5 = -705*p + 704*p. Suppose 0 = 3*n + 3*g - 24, n - g = 4*n - 16. Factor 20*c**p - 4*c**2 - 71*c**4 + 36*c**3 - 4*c**2 + 23*c**n.
4*c**2*(c - 1)**2*(5*c - 2)
Let k(j) be the first derivative of 3*j**5/20 - j**4 + 2*j**3 - 69*j - 76. Let w(c) be the first derivative of k(c). Find i such that w(i) = 0.
0, 2
Let o(g) be the first derivative of g**5/120 - g**4/6 + 7*g**3/12 + 2*g**2 - 3*g + 70. Let d(l) be the second derivative of o(l). Factor d(q).
(q - 7)*(q - 1)/2
Let t be (74 - 87) + 538/40. Let a(n) be the second derivative of 0*n**2 - 30*n + 1/5*n**6 + 1/2*n**4 - 1/28*n**7 + 0 - t*n**5 - 1/4*n**3. Factor a(h).
-3*h*(h - 1)**4/2
Let r(i) = 12*i**2 - 16*i + 4. Let o(t) be the first derivative of -14*t**3/3 + 17*t**2/2 - 5*t + 38. Let w(m) = -4*o(m) - 5*r(m). Factor w(u).
-4*u*(u - 3)
Find w such that -1238*w**2 + 5852*w - 1148*w**3 - 1694*w**2 + 3454*w**3 - 2924 - 1153*w**3 - 1149*w**3 = 0.
1, 731
Find j, given that -5 + 43*j - 527/4*j**2 - 333/4*j**4 + 681/4*j**3 + 27/4*j**5 = 0.
1/3, 2/3, 1, 10
Let j be (-6216)/(-185) - (-108)/(-30). Let f(z) be the first derivative of -1/6*z**3 + 0*z + 3/4*z**4 + 0*z**2 - j - 9/10*z**5. Factor f(s).
-s**2*(3*s - 1)**2/2
Let h(p) be the third derivative of p**6/40 + 17*p**5/20 + 25*p**4/4 - 88*p**3 - 566*p**2 - p. Factor h(k).
3*(k - 2)*(k + 8)*(k + 11)
Let g(y) be the first derivative of y**8/112 - y**7/70 - y**6/40 + y**5/20 + y**2 - 8*y - 90. Let n(j) be the second derivative of g(j). What is h in n(h) = 0?
-1, 0, 1
Let n(k) = 3*k**2 + 2*k + 2. Let a be n(-1). Let -275*r**a - 40 + 340*r - 173*r**3 - 258*r**2 - 92*r + 98*r**4 = 0. Calculate r.
-1, 2/7, 5
Let b be 40/32 + (482/280 - 26/65). Factor -12/7*q**3 + 3/7*q**2 + 0 + b*q + 3/7*q**4.
3*q*(q - 3)*(q - 2)*(q + 1)/7
Let g(y) be the second derivative of -y**5/5 + 2591*y**4/12 - 69876*y**3 - 52488*y**2 + 3816*y. Determine b, given that g(b) = 0.
-1/4, 324
Let w(s) be the first derivative of s**4/16 + s**3/6 - 13*s**2/8 + 5*s/2 - 815. Find p such that w(p) = 0.
-5, 1, 2
Suppose -39*l = 3*l - 168. Determine b so that -27*b**3 - 26*b**4 - 10*b**4 - 3*b**5 + 18*b**l - 12*b**2 = 0.
-4, -1, 0
Let f be ((-3)/(-44))/(105/(-70))*-2. Let p = f + 5/11. Factor 8/11*j**2 - 2/11*j**3 + 0 - p*j.
-2*j*(j - 3)*(j - 1)/11
Let q = 24873 + -74615/3. Factor 0 + q*w - 3*w**3 + w**2 + 2/3*w**4.
w*(w - 4)*(w - 1)*(2*w + 1)/3
Suppose 367*q = 371*q - 20. Suppose 0 = -q*o - 2*g - g, -g = 2*o. Suppose o*d + 9/2*d**2 + 0 - 21/2*d**3 = 0. What is d?
0, 3/7
Let z(w) be the first derivative of 1/5*w**5 - 6*w**2 + 15*w - 2/3*w**3 + w**4 - 16. Let c(j) be the first derivative of z(j). Determine i, given that c(i) = 0.
-3, -1, 1
Let j(c) be the second derivative of -5*c**3 + 3*c - 8/9*c**4 - 1/30*c**5 - 21 + 54*c**2. Factor j(z).
-2*(z - 2)*(z + 9)**2/3
Let w = 2012 + -2009. Let m be (830/135 + -6)/(2/w). Find v, given that m*v**4 - 2/9*v**2 + 0 - 4/9*v + 4/9*v**3 = 0.
-2, -1, 0, 1
Let c be ((-6)/21)/(-3 - (-80)/28). Let 104*v**3 - v**4 - 2*v - 109*v**3 - 2*v - 8*v**c = 0. What is v?
-2, -1, 0
Let i(b) be the first derivative of -b**5/4 - 17*b**4/16 + 7*b**3/6 + b**2 - 12568. What is x in i(x) = 0?
-4, -2/5, 0, 1
Let m = -375/17 + 1193/51. Suppose -2*d + 3*f + 3 = 0, 5*f = -2*d - d - 5. Factor m - 1/3*r**2 + d*r.
-(r - 2)*(r + 2)/3
Let u(p) = -16*p**3 - 318*p**2 + 62*p - 62. Let y(h) = 3*h**3 + 63*h**2 - 12*h + 12. Let o(l) = 6*u(l) + 31*y(l). Factor o(n).
-3*n**2*(n - 15)
Let v be (12 - 10)/(4/50). Factor -54*m**2 + 30*m**3 - 5*m**4 + v*m**2 - 16*m**2.
-5*m**2*(m - 3)**2
Let z be 26/(-247) - 2/(-19) - -2. Determine o, given that -o**2 - 4*o + 10*o - 5*o + z = 0.
-1, 2
Let k(b) = 13*b**2 - 40*b - 24. Let a(v) = 64*v**2 - 188*v - 118. Let m(i) = -6*a(i) + 33*k(i). Determine r so that m(r) = 0.
-2/5, 14/3
Let -34*c**2 + 2*c**4 + 110*c**2 - 76492*c**3 + 3*c**4 + 76470*c**3 - 80*c - 3*c**4 = 0. What is c?
0, 2, 4, 5
Let m(f) be the second derivative of f**4/9 + 14*f**3/9 + 8*f**2 - 800*f. Factor m(y).
4*(y + 3)*(y + 4)/3
Let p be ((-9850)/788)/(15/(-2)). Let f(z) be the first derivative of 75/2*z**2 - 7 - p*z**3 + 0*z. Find v such that f(v) = 0.
0, 15
Factor 6 + 3/4*z**2 - 9/2*z.
3*(z - 4)*(z - 2)/4
Let o(d) be the first derivative of 117 - 4*d + 3/2*d**4 + 2/5*d**5 - 3*d**2 + 2/3*d**3. Factor o(t).
2*(t - 1)*(t + 1)**2*(t + 2)
Suppose 49/9*z**3 + 248/9 + 3010/9*z**2 - 1732/9*z = 0. Calculate z.
-62, 2/7
Let i(y) be the third derivative of y**7/168 - y**6/60 - y**5/60 + 2797*y**2. Factor i(v).
v**2*(v - 2)*(5*v + 2)/4
Let g be -118*3/66 - (-29 + 23). Let m(f) be the first derivative of g*f**2 - 6/11*f - 10/33*f**3 + 1/22*f**4 - 12. Find i, given that m(i) = 0.
1, 3
Let b(p) = p**3 - 29*p**2 + 13*p + 422. Let v be b(28). Factor -9 - 39/4*h - 3/4*h**v.
-3*(h + 1)*(h + 12)/4
Let p(q) = -18*q - 210. Let l be p(-15). Factor 6*i**2 - 20*i**2 + 7*i**2 + 3*i**2 + 63*i + l + 7*i**2.
3*(i + 1)*(i + 20)
Suppose 16*n = 63*n - 149 - 86. Let w(g) be the third deriv