 for v.
3/2, 6
Suppose -4*n + q + 19 = -2*n, n + 2*q = 7. Let l(o) = 2*o**2 - 15*o + 12. Let i be l(n). Factor -35*d**2 + i*d**2 - 6*d**3 + 6*d**3 + d**4 - 4*d**3.
d**2*(d - 2)**2
Suppose 30*o**3 + 6*o + 3/2*o**4 - 207/2*o**2 + 138 = 0. Calculate o.
-23, -1, 2
Let q be ((-2)/5)/(3/85) - -14. Find l such that -14*l**3 - 4/3*l**4 + q*l + 0 + 14/3*l**5 - 16/3*l**2 = 0.
-1, 0, 2/7, 2
Suppose 51*b - 50*b - 2 = 0. Factor -p**4 - 181 - 6*p**3 + 10*p - p**2 + 181 - 2*p**b.
-p*(p - 1)*(p + 2)*(p + 5)
Suppose -5*j = 5*q - 25, 2*q + q = 4*j + 1. Let t = 4 - 2. Let -1 - 11*h**t + 7*h**j + 1 = 0. What is h?
0
Let m(p) be the third derivative of 6*p**2 - 4*p**3 - 2/315*p**7 + 4 + 13/6*p**4 + 0*p + 1/10*p**6 - 29/45*p**5. Suppose m(u) = 0. What is u?
1, 2, 3
Let f(p) be the first derivative of 6*p**3 + 29/30*p**4 + 35/3*p**2 + 4/75*p**5 - 115 - 50/3*p. Factor f(l).
2*(l + 5)**3*(2*l - 1)/15
Let n be -13*240/390*-1*2/20. Factor n*h**2 - 44/5*h + 8.
4*(h - 10)*(h - 1)/5
Suppose -9 = 6*d - 153. Suppose -2*c + 36 = 2*i, i + 5*c - 1 = 17. Suppose i + 7*w - 13*w - d*w + w**2 - 2*w**3 + 13*w**2 = 0. Calculate w.
1, 3
Let l(m) = -8*m**2 + 2*m + 3. Suppose 0 = 270*f - 247*f. Let t be l(f). Determine o so that 26/5*o**2 + 6/5*o**t + 8/5 + 32/5*o = 0.
-2, -1/3
Let f(j) be the second derivative of 16/3*j**4 + 1/10*j**5 + 4 + 256/3*j**3 + 0*j**2 + 27*j. Factor f(p).
2*p*(p + 16)**2
Let i(j) be the first derivative of -21/4*j**2 + 0*j + 13 - 3/4*j**3. Factor i(s).
-3*s*(3*s + 14)/4
Let k(l) = -2*l**3 + 12 + 6*l - 109*l**2 + 296*l**2 - 97*l**2 - 102*l**2. Let b(d) = -d**2 + d + 2. Let u(z) = -6*b(z) + k(z). Solve u(a) = 0.
-3, 0
Let d(y) be the second derivative of -51/8*y**2 + 3/80*y**5 - 82*y + 0 - 19/16*y**4 + 35/8*y**3. Factor d(o).
3*(o - 17)*(o - 1)**2/4
Suppose -31 = -10*f + 9. Find h, given that h**4 + f*h - 13*h**2 + 12*h**2 - 6*h - 3*h**5 + 2*h**5 + 3*h**3 = 0.
-1, 0, 1, 2
Let j(k) be the second derivative of -k**4/12 + 162*k**3 - 118098*k**2 - 1169*k. Factor j(l).
-(l - 486)**2
Let q(y) = y**3 - 1. Let v(c) be the second derivative of 2*c + 25/2*c**2 - 2*c**4 - 1/10*c**6 + 0 + c**5 - 3*c**3. Let x(a) = 2*q(a) - v(a). Factor x(d).
3*(d - 3)**2*(d - 1)*(d + 1)
Let y = 117604 + -117601. Factor 2/21*q**2 + 2/21*q**4 + 0*q + 0 - 4/21*q**y.
2*q**2*(q - 1)**2/21
Solve -4/7*h**3 + 16/7*h + 240/7 - 60/7*h**2 = 0 for h.
-15, -2, 2
Suppose 28 - 17 = 2*u + d, -17 = -4*u - d. Suppose -13/4*t - 1/2*t**2 - 5/2 + 1/4*t**u = 0. What is t?
-2, -1, 5
Let b = 311560043/652395 + -1678/28365. Let o = 2391/5 - b. Solve o - 8/23*w - 4/23*w**2 + 2/23*w**3 = 0 for w.
-2, 2
Let n(q) be the first derivative of 4913*q - 62 + 149/5*q**5 + 18785/2*q**2 - 1199/2*q**4 + 3774*q**3 - 1/2*q**6. Solve n(z) = 0.
-1, -1/3, 17
Let l(m) be the second derivative of m**8/84 - m**6/30 + m**2/2 - 94*m. Let o(k) be the first derivative of l(k). Solve o(d) = 0.
-1, 0, 1
Let k(i) be the third derivative of -i**9/1008 + i**8/80 - 3*i**7/70 - 103*i**3/2 - 67*i**2 + i. Let u(s) be the first derivative of k(s). Factor u(q).
-3*q**3*(q - 4)*(q - 3)
Let k = 43 + -33. Suppose -4*a = -3*a - k. Suppose 279*b**4 - 5*b**2 - 284*b**4 + a*b**2 = 0. Calculate b.
-1, 0, 1
Let u(v) be the third derivative of v**5/510 + 3*v**4/68 - 22*v**3/51 - 2050*v**2. Suppose u(t) = 0. Calculate t.
-11, 2
Let h(z) = -49*z + 2456. Let t be h(50). Let i(c) be the first derivative of 4/3*c**3 - 8*c - t*c**2 + 4/5*c**5 - 5 + 3*c**4. Factor i(q).
4*(q - 1)*(q + 1)**2*(q + 2)
Suppose 48 = 3599*n - 3591*n. Let f be (n + (-140)/21)*-6. Suppose 2/3*t**3 - 1/3*t + 0*t**2 - 1/3*t**5 + 0 + 0*t**f = 0. What is t?
-1, 0, 1
Suppose -2*o + 0*o = y - 484, 0 = -2*y + o + 953. Suppose -3*w = 4*z - y, 141 = 2*w + 3*z - 177. Solve -3/2*t**3 - w*t - 27*t**2 - 324 = 0.
-6
Determine y so that 13442/5*y + 2/5*y**5 + 1210 + 98/5*y**4 + 8828/5*y**2 + 1532/5*y**3 = 0.
-25, -11, -1
Let g(p) = -52*p - 308. Let q be g(-6). Find l such that 80*l**3 - 185*l - 30 + 22*l**3 - 144*l**3 - 98*l**3 - 70*l**q - 350*l**2 - 125*l**3 = 0.
-3/2, -1, -2/7
Let q(g) = 7*g**3 + 1154*g**2 - 2329*g + 1141. Let t(i) = 8*i**3 + 1152*i**2 - 2328*i + 1132. Let n(v) = -4*q(v) + 3*t(v). Factor n(p).
-4*(p - 1)**2*(p + 292)
Let i(f) be the first derivative of 0*f**4 + 0*f**3 - 1/24*f**6 + 1/12*f**5 - 14 + 19/2*f**2 + 0*f. Let x(z) be the second derivative of i(z). Factor x(g).
-5*g**2*(g - 1)
Let t = 405 - 499. Let y = 99 + t. Let -1/4*p**y - 1/4*p**3 + 0 + 0*p + 0*p**2 + 1/2*p**4 = 0. Calculate p.
0, 1
Suppose 4*y - 21 = -v, -2 = 2*y - v - v. Suppose 0 = -21*p + 22*p - 3. Solve -y*d + p*d**2 + 2*d + 2*d**2 - 3*d = 0 for d.
0, 1
Let q(t) = -21*t**2 - 39*t. Let w = 67 + -49. Let k(j) = -j**2. Let n(g) = w*k(g) - q(g). Let n(m) = 0. What is m?
-13, 0
Let x(h) be the second derivative of -h**7/42 + 13*h**6/30 - 27*h**5/10 + 47*h**4/6 - 73*h**3/6 + 21*h**2/2 - 5566*h. Factor x(w).
-(w - 7)*(w - 3)*(w - 1)**3
Let q(y) be the third derivative of y**6/480 - y**5/60 - y**4/24 + 2*y**3/3 - 548*y**2. Factor q(h).
(h - 4)*(h - 2)*(h + 2)/4
Let z(i) = -83*i**2 + 417*i + 611. Let n(w) = 14*w**2 - 68*w - 102. Let a(p) = 35*n(p) + 6*z(p). Find m, given that a(m) = 0.
-3/4, 16
Let n = -2338/11 - -14083/66. Let b(p) be the third derivative of 0 - 25/72*p**4 + 1/36*p**5 + n*p**3 + 1/72*p**6 + 0*p + 42*p**2. Factor b(c).
5*(c - 1)**2*(c + 3)/3
Let u be (-15)/(-12) + (-54)/189 + 4/14 + 0. Factor -87/4*i**2 - 351/4*i - u*i**3 + 243/4.
-(i + 9)**2*(5*i - 3)/4
Let r(n) be the first derivative of 2*n**3/3 - 15*n**2/2 + 30*n + 189. Let w be r(4). Factor 17/2*q + 15/2*q**3 + 31/2*q**w + 1/2.
(q + 1)**2*(15*q + 1)/2
Let s(v) be the first derivative of 4*v**3/9 + 184*v**2/3 - 124*v + 747. Factor s(x).
4*(x - 1)*(x + 93)/3
Let k(h) be the first derivative of h**7/5040 - h**6/720 + h**5/360 - 83*h**3/3 - 4. Let z(o) be the third derivative of k(o). Factor z(t).
t*(t - 2)*(t - 1)/6
Factor 2/3*l - 2/9*l**2 + 4.
-2*(l - 6)*(l + 3)/9
Let r(y) = 15*y**2 + 222*y - 4766. Let f(v) = 22*v**2 + 332*v - 7160. Let n(l) = 7*f(l) - 10*r(l). Factor n(w).
4*(w - 15)*(w + 41)
Let q(w) = 2*w**5 - w**3 + 2. Let k(v) = -5*v**5 + 12*v**4 + 16*v**3 - 12*v**2 - 13*v - 4. Let s(l) = -k(l) - 2*q(l). Factor s(c).
c*(c - 13)*(c - 1)*(c + 1)**2
Let n(q) = -q**2 + 28*q + 54. Let o(f) = -8*f**2 + 197*f + 381. Let v(u) = 30*n(u) - 4*o(u). Suppose v(m) = 0. What is m?
-24, -2
Let z(c) be the third derivative of -c**6/720 + 1499*c**5/360 - 562499*c**4/144 + 561001*c**3/36 - 57*c**2 - 9*c. Factor z(m).
-(m - 749)**2*(m - 1)/6
Let s be (-174)/493*459/(-18). Let v(n) be the third derivative of 14/15*n**4 + 0*n + 0 - s*n**2 - 3/4*n**6 - 4/15*n**3 - 11/10*n**5. Let v(k) = 0. What is k?
-1, 2/15
Suppose -1867 = -618*p - 255 + 876 - 16. Factor 1/6*d**p + 50/3*d - 19/6*d**3 + 40/3*d**2 + 0.
d*(d - 10)**2*(d + 1)/6
Let l(k) be the third derivative of 1/150*k**6 + 0*k + 9*k**2 + 33/10*k**4 - 6 + 54/5*k**3 + 19/75*k**5. Solve l(t) = 0 for t.
-9, -1
Find n, given that 26*n**2 + 21*n**2 + 20*n**2 - 69*n**2 - 172872 + 1176*n = 0.
294
Let c(g) be the third derivative of g**8/168 + 6*g**7/35 + 83*g**6/60 + 23*g**5/5 + 6*g**4 + 2*g**2 - 5. What is n in c(n) = 0?
-12, -3, -2, -1, 0
Let y(a) = 3*a**3 + 15*a**2 - 59*a + 69. Let d be (10 - -4*(-3)/(-6))/2. Let b(i) = -4*i**3 - 14*i**2 + 58*i - 70. Let c(u) = d*y(u) + 5*b(u). Factor c(q).
-2*(q - 4)**2*(q - 2)
Let q(r) = -4*r**4 - 365*r**3 - 1327*r**2 + 3755*r - 2049. Let t(h) = -4*h**4 - 366*h**3 - 1326*h**2 + 3754*h - 2046. Let l(b) = -6*q(b) + 5*t(b). Factor l(v).
4*(v - 1)**2*(v + 6)*(v + 86)
Suppose 159*n - 6 = 157*n. Factor 11*r**n + 26*r**5 - 21*r**5 + 49*r**3 - 30*r**4 - 40*r**2.
5*r**2*(r - 2)**3
Let b = 432 + -1292/3. Let c(s) be the second derivative of -1/20*s**5 + 0 - b*s**3 - 8*s**2 + 4*s + 7/12*s**4. Solve c(w) = 0.
-1, 4
What is r in -500/11 - 2/11*r**2 - 70/11*r = 0?
-25, -10
Factor 72*d - 74/7*d**2 + 0 + 2/7*d**3.
2*d*(d - 28)*(d - 9)/7
Let s = -12 + 16. Suppose 0 = -s*o - 5*k + 7, 5*o - 25 = -4*k - 5. Factor -12*v**3 - 12*v**4 + o*v**5 - 21*v**5 + 9*v**5 - 4*v**2.
-4*v**2*(v + 1)**3
Let b = 90592/19413 - -2/19413. Factor -4/3*w + b + 2/21*w**2.
2*(w - 7)**2/21
Factor -2/7*z**5 + 34/7*z**4 + 0*z - 150/7*z**3 + 0 + 198/7*z**2.
-2*z**2*(z - 11)*(z - 3)**2/7
Factor 39*u + 3099 + 237*u**2 - 270*u - 3117 - 267