
Let m be (-34)/(-22)*((25806/(-68))/23)/(-3). What is b in m - 33/4*b - 1/4*b**2 = 0?
-34, 1
Let h be 3 + -5 + 7 + (-597)/(-14). Let q = h + -330/7. What is d in q*d - 1/4*d**4 + 0 + 1/4*d**2 - 1/2*d**3 = 0?
-2, -1, 0, 1
Let q(j) be the second derivative of -j**8/1344 + j**7/504 + 205*j**4/12 - 9*j + 5. Let t(i) be the third derivative of q(i). Determine o so that t(o) = 0.
0, 1
Let q(j) be the third derivative of 0*j**3 + 2 - 1/42*j**4 + 1/210*j**6 - 1/210*j**5 + 1/735*j**7 + 4*j**2 + 0*j. Solve q(c) = 0.
-2, -1, 0, 1
Let q(u) = 5*u**4 - 18*u**3 - 398*u**2 - 378*u. Let h(z) = -9*z**4 + 32*z**3 + 794*z**2 + 758*z. Let v(k) = 3*h(k) + 5*q(k). Factor v(y).
-2*y*(y - 16)*(y + 1)*(y + 12)
Let w be 13/((-65)/2)*-5. Solve -24*d**3 + 22*d**2 + d - w*d + 20471*d**4 + d - 20469*d**4 = 0 for d.
0, 1, 11
Let i(o) = 3*o**3 + 78*o**2 - 104*o - 105. Let d be i(2). Determine b so that -2*b**3 + 19/2*b**2 + 12 - 1/2*b**4 + d*b = 0.
-6, -1, 4
Let z(f) be the first derivative of -f**4/4 - 15*f**3 + 93*f**2/2 - 107*f + 20. Let o(w) be the first derivative of z(w). Let o(a) = 0. What is a?
-31, 1
Suppose -2*z + b + 3 = 4*b, -2 = 2*b. Let u be -1 + -45*(-10)/210. Suppose -36/7*x**4 - u*x + 32/7*x**2 - 2*x**z + 0 + 18/7*x**5 = 0. Calculate x.
-1, 0, 1/3, 2/3, 2
Let h = -11263/12 + 2818/3. Let q(t) be the first derivative of 17 - 1/6*t**3 + 0*t + h*t**2. Factor q(v).
-v*(v - 3)/2
Let v(j) be the second derivative of j**6/120 - 7*j**5/80 + 415*j. Solve v(m) = 0.
0, 7
Let s(z) be the third derivative of z**9/60480 - 2*z**5/3 - 11*z**2 + z. Let j(l) be the third derivative of s(l). Factor j(p).
p**3
Let o(y) be the third derivative of y**6/6 - 118*y**5/15 - 8*y**4 + 972*y**2. Determine j so that o(j) = 0.
-2/5, 0, 24
Let q(a) = 39*a**2 - 15*a - 54. Let o be q(-6). Let m = o - 1440. Suppose 3/4*x - 1/4*x**3 - 1/2*x**2 + m = 0. What is x?
-3, 0, 1
Let s(k) be the second derivative of -5*k**4/6 - 251*k**3/9 - 98*k**2/3 + k + 193. Solve s(h) = 0 for h.
-49/3, -2/5
Let g(d) be the second derivative of d**5/20 + d**4/4 - d**3 - 4*d**2 + 1083*d. Factor g(v).
(v - 2)*(v + 1)*(v + 4)
Let f(l) be the second derivative of -l**4/4 - 17*l**3/2 + 252*l**2 - 2169*l. Factor f(x).
-3*(x - 7)*(x + 24)
Determine i so that -343/10*i**3 + 5733/10*i**2 + 59319/10 - 31941/10*i = 0.
39/7
Let k(t) be the second derivative of -t**6/6 + t**5 + 5*t**4/2 - 10*t**3/3 - 25*t**2/2 - 460*t. Factor k(w).
-5*(w - 5)*(w - 1)*(w + 1)**2
Let j(m) be the second derivative of 0 + 50/3*m**3 - 625*m**2 - 1/6*m**4 - 112*m. What is v in j(v) = 0?
25
Let o(l) be the third derivative of -32/9*l**3 + 3 - 6*l**2 - 7/18*l**4 + 1/90*l**5 + 0*l. Factor o(h).
2*(h - 16)*(h + 2)/3
Factor 2*b**2 + 1620 + b - 112*b - 114*b - 170*b + 61*b.
2*(b - 162)*(b - 5)
Let a(u) be the second derivative of 0*u**2 + 5/21*u**4 - 8*u + 4 - 25/21*u**3 - 1/70*u**5. Suppose a(p) = 0. Calculate p.
0, 5
Let a(w) be the first derivative of -1/8*w**5 - 27/8*w**2 - 9/4*w**3 - 9 - 1/120*w**6 - 3/4*w**4 + 8*w. Let r(j) be the first derivative of a(j). Factor r(v).
-(v + 1)*(v + 3)**3/4
Let p be (-142)/(-336) - (-10)/(-8)*18/60. Let u(o) be the second derivative of 0 + 0*o**2 - 14*o + p*o**3 - 1/42*o**4. Suppose u(d) = 0. What is d?
0, 1
Let z(m) be the first derivative of -7*m**6/15 + 24*m**5/5 - 12*m**4 + 28*m**3/3 + 3*m**2 - 36*m/5 + 1482. Find p such that z(p) = 0.
-3/7, 1, 6
Let d(y) be the third derivative of y**6/360 - 407*y**5/90 + 41615*y**4/18 - 164836*y**3/9 + 9112*y**2. Find k such that d(k) = 0.
2, 406
Let g be ((-269770)/(-40))/(27/(-24)). Let m = g - -6002. Factor 20/9*v**2 + m*v + 2/9*v**3 + 64/9.
2*(v + 2)*(v + 4)**2/9
Let q(k) be the first derivative of 4*k**3/3 + 560*k**2 - 1124*k + 934. Factor q(l).
4*(l - 1)*(l + 281)
Let q(f) be the second derivative of 6*f**5/5 + 257*f**4/4 + 464*f**3 + 168*f**2 + 4*f + 926. Factor q(m).
3*(m + 4)*(m + 28)*(8*m + 1)
Let b = 531/32 - 1561/96. Let a(r) be the second derivative of 0*r**2 + 0*r**4 + 8*r - 3 + 1/21*r**7 + 2/5*r**5 + 0*r**3 + b*r**6. Factor a(f).
2*f**3*(f + 1)*(f + 4)
Let p(y) be the third derivative of -5*y + 3/10*y**4 + 0 - y**2 + 0*y**5 - 1/200*y**6 + 8/5*y**3. Determine z so that p(z) = 0.
-2, 4
Let u(x) be the first derivative of x**5/25 - x**4/6 - x**3/5 + 189*x + 149. Let b(t) be the first derivative of u(t). Factor b(g).
2*g*(g - 3)*(2*g + 1)/5
Let -360*p + 4*p**2 + 0*p**2 - p**2 + 2*p**2 + 1170 - 45*p = 0. What is p?
3, 78
Factor 3*k**2 + 353 - 69*k + 59 - 76 + 0*k**2 + 0*k**2.
3*(k - 16)*(k - 7)
Let q(v) be the first derivative of v**4 + 6344*v**3/3 - 2*v**2 - 6344*v + 139. Let q(m) = 0. What is m?
-1586, -1, 1
Let p(w) be the second derivative of -w**4/6 + 3*w**3/2 + 7*w**2/2 - 2*w + 6. Let d be p(5). Factor 0 - 1/3*s**4 + 16/3*s - 8*s**d + 3*s**3.
-s*(s - 4)**2*(s - 1)/3
Determine p so that -7491/5*p**3 - 6912/5*p - 14112/5*p**2 - 294/5*p**4 - 3/5*p**5 + 0 = 0.
-48, -1, 0
Suppose 354*i - 780 = 94*i. Determine n so that -27 - 3/8*n**i + 15/4*n**2 - 9/2*n = 0.
-2, 6
Factor 493*o + 184 + 2*o**2 - 134*o - 263*o.
2*(o + 2)*(o + 46)
Let d(p) be the first derivative of 5*p**4/12 + 40*p**3/3 - 85*p**2/2 + 34*p + 124. Let r(i) be the first derivative of d(i). What is n in r(n) = 0?
-17, 1
Let d(c) be the third derivative of -c**6/180 - c**5/90 + c**4/3 - 7*c**2 - 25. Factor d(z).
-2*z*(z - 3)*(z + 4)/3
Let h be 3/(0 + -3)*(73 + -75). Let g(t) be the first derivative of -4 + 1/2*t**h + 3/2*t**4 + 0*t - 4/3*t**3 - 4/5*t**5 + 1/6*t**6. Find a such that g(a) = 0.
0, 1
Solve 112 + 158 + 392*b**2 - 344*b**2 + 3*b**3 + 219*b = 0.
-9, -5, -2
Let a be (-10)/(-8) + (-77)/(-44). Factor -198*f - 38*f**2 + 16 - 11*f**a - 178 + 9*f**3.
-2*(f + 1)*(f + 9)**2
Suppose 0 = 166*x - 282*x + 348. Factor -16/5*s**2 + 14/5*s - 2/5*s**5 + 4/5*s**x - 4/5 + 4/5*s**4.
-2*(s - 1)**4*(s + 2)/5
Let l(c) be the third derivative of 53*c**8/36 + 662*c**7/105 + 193*c**6/45 - 76*c**5/15 + 4*c**4/9 - 22*c**2 + 20. Suppose l(v) = 0. Calculate v.
-2, -1, 0, 2/53, 2/7
Suppose -124*v + 2 + 1 - 3 = 0. Let r(s) be the third derivative of 0*s + 17*s**2 - 1/18*s**4 + 1/90*s**5 + 1/180*s**6 + 0 + v*s**3. Solve r(m) = 0 for m.
-2, 0, 1
Let d(c) be the first derivative of 0*c - 19/16*c**4 - 7/3*c**3 - 3/2*c**2 - 1/10*c**5 + 1/24*c**6 + 131. Factor d(o).
o*(o - 6)*(o + 1)**2*(o + 2)/4
Find j such that 22/3*j**3 + 48 + 2/3*j**5 + 20/3*j**4 - 8*j - 164/3*j**2 = 0.
-6, -1, 1, 2
Let u(y) = y**2 + 492*y - 988. Let r(n) = -3*n**2 - 986*n + 1984. Let l(t) = 3*r(t) + 7*u(t). Factor l(p).
-2*(p - 241)*(p - 2)
Suppose 1989 - 30110*c**4 + 60224*c**4 + 672*c + 216*c**3 - 1102*c**2 - 30113*c**4 = 0. What is c?
-221, -1, 3
Let v(p) = -p - 9. Let x be v(-14). Factor -x + 103*n + 2*n**2 - 107*n - n**2.
(n - 5)*(n + 1)
Suppose 20*n - 118 = -38. Suppose -h - 5*q + 5 + 18 = 0, -5*q = n*h - 32. Factor -k**h + 12/5*k**2 + 0 - 4/5*k.
-k*(k - 2)*(5*k - 2)/5
Let g(p) be the second derivative of -p**6/6 - 7*p**5/2 + 5*p**4/4 + 110*p**3/3 + 70*p**2 + 5*p + 135. Factor g(c).
-5*(c - 2)*(c + 1)**2*(c + 14)
Let p(r) be the first derivative of -1/16*r**4 - r**3 - 9/2*r**2 - 193 + 0*r. Suppose p(i) = 0. What is i?
-6, 0
Let f = -210892 + 1476256/7. Factor 36/7*t**2 - f*t + 45/7*t**3 + 12/7*t**4 + 0.
3*t*(t + 2)**2*(4*t - 1)/7
Determine r, given that 2/11*r**3 + 780/11*r**2 + 0 + 2322/11*r = 0.
-387, -3, 0
Suppose 5*d - 12 = 2*l, -3*d + 16 = l - 0*d. Suppose 5*y - l*v - 15 = 0, -3*y + 9 = -v + 6*v. Solve -86*w**2 + 80*w**2 - 15*w + 14 + 4 + 3*w**y = 0.
-2, 1, 3
Let d(z) be the third derivative of z**7/180 + 11*z**6/180 + 8*z**5/45 - z**4/3 + 33*z**3/2 - 50*z**2. Let f(q) be the first derivative of d(q). Factor f(m).
2*(m + 2)*(m + 3)*(7*m - 2)/3
Let c(z) be the first derivative of 47 + 8/15*z**5 + 2/3*z**4 + 0*z**3 + 1/9*z**6 + 0*z + 0*z**2. Suppose c(t) = 0. Calculate t.
-2, 0
Suppose 369 - 1/2*b**2 - 367/2*b = 0. What is b?
-369, 2
Let w(j) = -21*j - 8. Let o be w(-7). Let y = -127 + o. Factor -129*q + 48*q - y*q**2 + 69*q - 4*q**3 - 4.
-4*(q + 1)**3
Let n(c) be the first derivative of 59 - 24*c + 28/3*c**3 - 4/5*c**5 - 5*c**4 + 10*c**2. Solve n(p) = 0.
-6, -1, 1
Factor 88529281 + 44369*q**2 - 388*q**3 + 30239*q**2 - 18154*q**2 - 3650692*q + 12*q**4 - 11*q**4.
(q - 97)**4
Let z(y) be the second derivative of y**4/4 + 310*y**3 + 144150*y**2 + 4448*y