*w**2 - d*w**4. Factor q(y).
-2*y*(y - 2)/13
Find c such that -2/3*c**3 + 962/3*c + 2/3*c**2 - 8450/3 = 0.
-25, 13
Let o be (4 - 5)*(123 + -126). Let a = 16/39 - 1/13. Find i, given that 1/3*i**2 + a*i**o - 1/3 - 1/3*i = 0.
-1, 1
Suppose 1268*r**4 - 2*r**5 - 213487 + 138148*r**2 - 288164 - 1351604*r**2 - 197144*r**3 - 935074 - 201675 - 2447360*r = 0. Calculate r.
-2, 320
Let m(l) be the first derivative of 164 + 31/20*l**5 - 77*l**2 + 673/12*l**3 + 49*l - 1/24*l**6 - 283/16*l**4. Suppose m(n) = 0. What is n?
1, 14
Let w(r) be the second derivative of r**5/20 - 17*r**4/2 + 100*r**3/3 + 18*r + 40. Factor w(d).
d*(d - 100)*(d - 2)
Factor 432 - 56*d**3 + 27*d - 288*d**2 - 10*d + 16*d**4 + 4*d**5 - 125*d.
4*(d - 4)*(d - 1)*(d + 3)**3
Find u such that 21 + 19*u - 24 + 21*u - 2*u**2 - 44 - 25 = 0.
2, 18
Suppose -47382*c = -47487*c. Factor m**3 + c + 4/7*m + 11/7*m**2.
m*(m + 1)*(7*m + 4)/7
Let u(b) = b**2 + 10*b - 23. Let m be u(-12). Let c(t) = t**4 + t + 1. Let z(l) = 3*l**4 + 3*l**2 + 2*l + 4. Let h(f) = m*z(f) - 4*c(f). Factor h(s).
-s*(s - 1)**2*(s + 2)
Find a, given that -93 + 3*a**3 + 61*a**2 - 51 + 202 - 187*a - 53 - 74 = 0.
-23, -1/3, 3
Let l(p) be the second derivative of 0*p**2 - 4/9*p**3 + 1/3*p**4 - 47 + 1/90*p**6 + p - 1/10*p**5. Factor l(j).
j*(j - 2)**3/3
Solve 2/3*y**2 - 116*y + 672 = 0.
6, 168
Factor 226/9 - 2/9*r**2 - 224/9*r.
-2*(r - 1)*(r + 113)/9
Suppose 0 = -12*d + 8*d + 20. Let -d*u**2 + 9*u + 1 + 6*u - 13 + 2 = 0. Calculate u.
1, 2
Let o(d) be the first derivative of d**3/15 - 174*d**2/5 + 30276*d/5 + 962. Factor o(s).
(s - 174)**2/5
Let j be 2303/441 + 408/24. Solve -j + 40/9*n - 2/9*n**2 = 0 for n.
10
Let w(p) be the second derivative of 0 - p**3 + 0*p**2 + 279*p - 1/4*p**4. Find z, given that w(z) = 0.
-2, 0
Let a(c) be the second derivative of 142*c**6/75 + 28*c**5/5 + 67*c**4/15 - 4*c**3/15 - 1055*c. Determine s, given that a(s) = 0.
-1, 0, 2/71
Let c(q) be the second derivative of q**5/30 + q**4/2 + 5*q**3/3 + 35*q**2/2 + 44*q + 2. Let d(v) be the first derivative of c(v). Factor d(f).
2*(f + 1)*(f + 5)
Let o(x) be the second derivative of -x**6/90 + 24*x**5/5 - 864*x**4 - x**3/3 - 15*x**2 + 2*x + 167. Let v(f) be the second derivative of o(f). Factor v(q).
-4*(q - 72)**2
Let y(p) be the first derivative of -p**5/48 - 125*p**4/96 - 5*p**3 + 26*p**2 - 101. Let g(n) be the second derivative of y(n). Factor g(v).
-5*(v + 1)*(v + 24)/4
Let h = 86623/14 - 6187. Let i(o) be the second derivative of -1/6*o**6 + 0 - 3/2*o**5 + h*o**7 + 5/6*o**4 - 5/2*o**2 + 5/2*o**3 + 33*o. What is r in i(r) = 0?
-1, 1/3, 1
Let p(a) be the first derivative of 11*a**6/2 + 819*a**5/5 - 2823*a**4/4 + 1075*a**3 - 711*a**2 + 168*a + 496. Determine z so that p(z) = 0.
-28, 2/11, 1
Let l = 3/76093 - -76078/380465. Factor l*w**3 + 3/5*w**2 - 2/5 - 1/5*w - 1/5*w**4.
-(w - 2)*(w - 1)*(w + 1)**2/5
Suppose -4*m = -222*x + 224*x + 12, 3*m + x + 3 = 0. Find j such that 0 - 16/5*j**5 + 31/5*j**m - 4/5*j**2 + 0*j - 56/5*j**4 = 0.
-4, 0, 1/4
Factor 0 - 161/3*s**2 - 4232/3*s + 38/3*s**3 - 1/3*s**4.
-s*(s - 23)**2*(s + 8)/3
Factor -5*v**3 + 230*v - 524*v**2 + 269*v**2 + 130*v**2 + 10*v**3.
5*v*(v - 23)*(v - 2)
Let p(i) be the first derivative of i**5/25 + 9*i**4/20 + 4*i**3/3 - 1950. Determine o, given that p(o) = 0.
-5, -4, 0
Suppose 0 = -28*g - 25 + 81. Suppose 0 = 4*d - 5*d + g. Find x, given that 4/5 - 6/5*x + 2/5*x**d = 0.
1, 2
Let i be (-684)/(-4)*-1*(-2)/2. Factor -648 - 6*u**3 - 143*u**2 - 18*u + u**3 + i*u**2 + 3*u**3.
-2*(u - 9)**2*(u + 4)
Let m(o) = -2*o**2 + 1372*o - 80728. Let s be m(65). Suppose 0 - 9/7*q**s + 6/7*q**4 + 15/7*q**3 + 0*q = 0. What is q?
-3, 0, 1/2
Let o(c) be the third derivative of 17*c**2 + 5/32*c**4 + 5/24*c**5 + 5/1344*c**8 + 1/28*c**7 + 0 + 0*c**3 + 1/8*c**6 + 2*c. Factor o(k).
5*k*(k + 1)**3*(k + 3)/4
Determine p, given that -117/2 + 3/2*p**2 - 15*p = 0.
-3, 13
Factor -1/5*a**3 + 0 - 36*a**2 - 179/5*a.
-a*(a + 1)*(a + 179)/5
Let o = 2/21579 - -143858/21579. Factor -50/3 + 16*k**2 + o*k + 2/3*k**4 - 20/3*k**3.
2*(k - 5)**2*(k - 1)*(k + 1)/3
Let r = -107326 - -557438/5. Let 471648/5*n + 4009008/5 + r*n**2 + 408/5*n**3 + 3/5*n**4 = 0. What is n?
-34
Let z = -41588 - -41590. Let d be (-8 - -7) + 10/4 + -1. Find v such that -d - 1/2*v**z + v = 0.
1
Let f be 12/(-10)*(-8 + (-48)/9). Let z be ((-3)/f*(6 - 18))/2. Determine t, given that z*t**4 + t**3 + 0 - 9/8*t**2 + 1/4*t - 5/4*t**5 = 0.
-1, 0, 2/5, 1/2, 1
Let x(o) be the first derivative of o**3/3 - 32*o**2 + 240*o - 4601. Factor x(w).
(w - 60)*(w - 4)
Determine l, given that -4*l**2 - 10 + 46/3*l = 0.
5/6, 3
Determine z, given that 0*z + 12896/15*z**3 + 0 - 646*z**4 - 1432/5*z**2 + 6/5*z**5 = 0.
0, 2/3, 537
Let b(l) = 168*l + 79. Let n be b(4). Let g = n - 12763/17. Determine k so that 0*k - 2/17*k**3 + 2/17*k**4 - g*k**2 + 0 = 0.
-1, 0, 2
Let q(g) be the third derivative of -1/40*g**4 + 244*g**2 + 0*g + 0 + 0*g**3 + 1/100*g**5. Factor q(n).
3*n*(n - 1)/5
Let f(s) be the third derivative of -s**5/60 - s**4/12 + 4*s**3/3 - 2*s**2 - 8*s - 10. Suppose f(n) = 0. What is n?
-4, 2
Let g(v) be the third derivative of 1/60*v**6 + 0*v + 8*v**4 + 0 - 3/5*v**5 - 65*v**2 - 128/3*v**3. Factor g(a).
2*(a - 8)**2*(a - 2)
Let b(a) = 3*a**4 + 130*a**3 + 129*a**2 - 278*a - 8. Let y(s) = -s**4 + 2*s**2 + s + 1. Let j(x) = b(x) + 8*y(x). Factor j(c).
-5*c*(c - 27)*(c - 1)*(c + 2)
Let u be 128/(-32) - (92/(-24) - 2/12). Let i(j) be the third derivative of u*j + 5/24*j**4 - 1/48*j**6 + 16*j**2 + 0*j**3 + 0 + 1/24*j**5. Factor i(w).
-5*w*(w - 2)*(w + 1)/2
Let b be 39/(-2106)*4/((-4)/3). Let u(i) be the third derivative of 11*i**2 - 1/720*i**6 + 0*i**5 + 0 - b*i**3 + 1/48*i**4 + 0*i. Factor u(y).
-(y - 1)**2*(y + 2)/6
Let t(o) = -o**3 - 6*o**2 + 2*o - 2. Let a = 139 - 141. Let z(g) = 2*g**3 + 7*g**2 - 3*g + 3. Let p(u) = a*z(u) - 3*t(u). Solve p(n) = 0 for n.
0, 4
Let l = -47985 + 336167/7. Factor -1156/7*r**3 + l*r**2 + 0 - 16/7*r.
-4*r*(17*r - 2)**2/7
Let i(y) be the first derivative of -4*y**5/5 - 91*y**4 - 3044*y**3 - 19178*y**2 - 29584*y - 3883. Let i(n) = 0. Calculate n.
-43, -4, -1
Let x(o) = 19*o**4 + 292*o**3 + 807*o**2 - 2500*o + 1406. Let q(w) = -5*w**4 - w**2 - 2. Let h(c) = 3*q(c) + x(c). Determine u, given that h(u) = 0.
-70, -5, 1
Factor 0 + 0*b**2 + 2/9*b**3 + 0*b.
2*b**3/9
Let o(u) be the first derivative of 25*u**4/12 - 105*u**3/2 - 65*u**2 + 30*u + 130. Let m(x) be the first derivative of o(x). Suppose m(l) = 0. What is l?
-2/5, 13
Let f(w) = -w**3 - w**2 + 1. Let b(h) = -2*h**4 + 26*h**3 + 36*h**2 + 8*h - 22. Let t(p) = -8*p + 76. Let d be t(15). Let c(y) = d*f(y) - 2*b(y). Factor c(s).
4*s*(s - 4)*(s + 1)**2
Let l(m) = 10*m - 136. Let f be l(22). Factor 40*s - f*s**2 + 38*s**2 + 42*s**2 - 36.
-4*(s - 9)*(s - 1)
Suppose 3 - 3 = -o. Let k(z) = z**3 - 3*z**2 + 6*z - 18. Let v be k(3). Factor 5/2*c**3 + v + o*c + 25/4*c**2 + 1/4*c**4.
c**2*(c + 5)**2/4
Suppose -17*z + 22*z - 10410 = 0. What is q in 222*q + 3165 + 3*q**2 + z - 1140 = 0?
-37
Let t = -205870 + 205870. Factor t + 2/3*h**2 - 6*h.
2*h*(h - 9)/3
Let c = -14171 - -27574. Factor 18*h - 18*h**3 - 13403 + 3*h**2 + c - 3*h**4.
-3*h*(h - 1)*(h + 1)*(h + 6)
Let h(q) = 20*q**3 + 107*q**2 + 221*q + 128. Let i(a) = -44*a**3 - 215*a**2 - 443*a - 257. Let s(u) = 5*h(u) + 2*i(u). Factor s(f).
3*(f + 1)*(f + 6)*(4*f + 7)
Let s(g) be the second derivative of g**7/980 - g**6/35 - 88*g**3/3 + 220*g. Let o(w) be the second derivative of s(w). Factor o(d).
6*d**2*(d - 12)/7
Let z(n) be the third derivative of 5*n**8/112 - 16*n**7/21 + 61*n**6/24 + 2*n**5 + 697*n**2. Find s, given that z(s) = 0.
-1/3, 0, 3, 8
Suppose -1466 = -7*w - 311. Let m be (5 - w/35)*2/4. Solve 0 + 3/7*g + m*g**3 + 4/7*g**2 = 0 for g.
-3, -1, 0
Let r be 15/(11 + (-880)/76). Let h = r + 2017/77. Let -2/7*p**2 + h*p + 0 = 0. What is p?
0, 1
Suppose -402*l = 213*l + 19*l - 1268. Suppose -23/8*a**l - 7/8*a**3 + 11/4*a + 1 = 0. Calculate a.
-4, -2/7, 1
Suppose -h = 2*p + 35, 5*p + 0*h + 95 = 5*h. Let x = -11 - p. Let -x*y - 5*y**2 - 12*y + 0*y**2 + 59*y = 0. Calculate y.
0, 8
Let m(r) be the first derivative of -r**4/2 + 20*r**3/3 + 56*r**2 + 922. Factor m(u).
-2*u*(u - 14)*(u + 4)
Suppose 0 - 1944*r + 108*r**2 - 3/2*r**3 = 0. Calculate r.
0, 36
Let k be (30 - (-16771)/(-558)