/32*m**4 - 30*m**2 - 1/8*m**3. Factor l(k).
3*(k - 1)*(4*k - 1)**2/4
Let x(f) be the first derivative of 1/2*f**3 + 36 + 2187/2*f - 81/2*f**2. Factor x(i).
3*(i - 27)**2/2
Let r be (15 + -41)/((-6)/(2 - 5)). Let f(x) = 13*x + 172. Let q be f(r). Factor -5/3*v**q + 5*v**2 + 15*v + 25/3.
-5*(v - 5)*(v + 1)**2/3
Suppose 84 = 5*k - 2*k. Suppose -22 = -2*a - 2*s, 0*s + k = 3*a + 2*s. Factor -13*w**3 - a*w**3 + 4*w**3 + 68*w**2 - w**3 + 12 - 64*w.
-4*(w - 3)*(w - 1)*(4*w - 1)
Let k(b) be the second derivative of b**5/4 + 1553*b**4/12 - 311*b**3/3 - 2424*b. Factor k(f).
f*(f + 311)*(5*f - 2)
Let b be ((-2)/32)/(-3 - (-22)/8). Let w = 461 - 458. Suppose -1 + b*v**w - 5/4*v**2 + 2*v = 0. Calculate v.
1, 2
Let 19*h**4 - 5*h**5 + 91*h**4 - 2*h**4 + 3568*h - 868*h**3 + 3208*h + h**5 + 1188*h**2 = 0. Calculate h.
-2, 0, 7, 11
Let g = -93317/5 - -18664. Let o = -2 - -5. Solve -9/5*c**o - g*c - 12/5*c**2 + 0 = 0.
-1, -1/3, 0
Let l(i) = -18*i**3 + 1619*i**2 + 90*i + 2. Let n be l(90). Factor -21/2*s**n - 5/2*s**3 - 1/6*s**4 + 0 - 49/6*s.
-s*(s + 1)*(s + 7)**2/6
Find j, given that -2*j**2 - 7*j**2 - 6*j**2 + 815*j + 1529 - 979 = 0.
-2/3, 55
Let v be 2 + (12/3)/4. Find o such that -12*o + 4*o**4 - 8 + 4*o**2 + 16*o**3 + 4*o**v - 8*o**3 = 0.
-2, -1, 1
Let n = -1399 - -25. Let d = n + 1377. Solve 0*y + 2/5*y**d + 2/5*y**2 + 0 = 0.
-1, 0
Let a(g) = g**3 + 5. Let f be a(-2). Let n be -3 + 1 - f/1. Let 16*s**4 + 36*s**2 - 135*s - 5 + n - 44*s**3 + 131*s = 0. What is s?
-1/4, 1
Find l, given that 111/7*l**3 + 0 - 9*l**2 + 0*l - 48/7*l**4 = 0.
0, 1, 21/16
Let q(n) be the first derivative of 5/4*n**3 + 0*n - 3/2*n**2 + 43 - 3/16*n**4. Find m such that q(m) = 0.
0, 1, 4
Suppose 69/2*c + 63 + 3/2*c**2 = 0. What is c?
-21, -2
Let j be ((-360)/(-168))/((-36)/(-21)). Factor 45/4 - 10*s - j*s**2.
-5*(s - 1)*(s + 9)/4
Let t(q) be the third derivative of -q**6/900 - 2*q**5/25 + 16*q**4/5 + 211*q**2 - 2*q - 5. Factor t(w).
-2*w*(w - 12)*(w + 48)/15
Let b(j) be the first derivative of -2*j**6 - 9*j**5/5 + 33*j**4/2 - 15*j**3 + 5298. Determine d so that b(d) = 0.
-3, 0, 1, 5/4
Suppose 5*p - 122 = -3*x, 4*p - 3*p = -x + 26. Let b(a) = 5*a**2 + 5*a - 4. Let s(w) = -18*w**2 - 19*w + 15. Let j(k) = p*b(k) + 6*s(k). Solve j(o) = 0 for o.
1
Find y, given that -6/11*y**5 + 216/11*y**2 + 0 + 0*y + 24/11*y**3 - 54/11*y**4 = 0.
-9, -2, 0, 2
Let g = 253 + -249. Let -28*n**2 + 2*n**3 + 32*n**2 - n**g - 25*n**2 + 10*n + 9*n**3 + n**3 = 0. What is n?
0, 1, 10
Let 2/5*m**2 + 924/25 - 2314/25*m = 0. Calculate m.
2/5, 231
Let d = 504160 + -504158. Factor -28/5 + 3/5*t**d - 8*t.
(t - 14)*(3*t + 2)/5
Let z be (-60)/8 - (-5 + (16/(-6))/((-32)/(-48))). Solve -3/8*m**2 + z*m + 9/2 = 0 for m.
-2, 6
Let b be (15*3/(-15))/(3/(-2)). Let o(t) be the second derivative of b*t**2 + 0 + 0*t**3 - 1/3*t**4 + 27*t. Find q, given that o(q) = 0.
-1, 1
Let b(i) = 2*i**2 + 3*i + 4. Let p(u) = u**2 + u + 1. Let k(m) = -b(m) + 3*p(m). Let j(x) = 28*x - 4. Let c(h) = -j(h) + 4*k(h). Solve c(l) = 0 for l.
0, 7
Let z = 48 + -93/2. Let a(f) = 244*f - 974. Let i be a(4). Factor -z + 11/4*s - 1/4*s**3 - s**i.
-(s - 1)**2*(s + 6)/4
Factor 208*u**2 + 65 - 225*u + 17*u - 236*u**2 - 36*u + 7.
-4*(u + 9)*(7*u - 2)
Let m = 502721/20 - 25136. Let b(r) be the third derivative of 1/30*r**6 - 1/24*r**4 + 0 + 0*r**3 + m*r**5 + 0*r - 21*r**2. Find q, given that b(q) = 0.
-1, 0, 1/4
Suppose 66 = 36*u - 10 + 4. Find t such that -4/5*t**4 + 0*t + 0*t**u + 0*t**3 + 2/5*t**5 + 0 = 0.
0, 2
Let d(z) be the third derivative of -z**7/1470 - 7*z**6/120 - 151*z**5/140 + 189*z**4/8 + 729*z**3/7 + 8494*z**2. Factor d(b).
-(b - 6)*(b + 1)*(b + 27)**2/7
Find o, given that -2*o**4 + 12*o - 11998*o**5 - 5*o**2 + 7*o**2 - 14*o**3 + 12000*o**5 = 0.
-2, -1, 0, 1, 3
Let u(j) be the second derivative of -5/42*j**7 + 0*j**2 + 3/2*j**5 + 106*j - 2/3*j**6 + 5/3*j**4 + 0 - 25/6*j**3. Find v, given that u(v) = 0.
-5, -1, 0, 1
Let a(j) be the first derivative of 92 + 1/18*j**4 - 40/27*j**3 - 4*j + 37/9*j**2. Solve a(r) = 0.
1, 18
Let h(c) be the third derivative of 0*c**3 - 11/15*c**4 + c + 0 - 1/150*c**5 + 4*c**2. Solve h(l) = 0 for l.
-44, 0
Let o(w) = -48*w + 13. Let z be o(-2). Determine u, given that 199 - z - 35*u - 40 + 5*u**2 = 0.
2, 5
Suppose 0*l - 5*l = 4*w + 122, -3*l + 105 = -3*w. Let n be (-48)/(-44)*(-11)/w. Factor 10/11*y**2 + 18/11*y**3 + 14/11*y**4 + n*y**5 + 0 + 2/11*y.
2*y*(y + 1)**3*(2*y + 1)/11
Let y(k) be the second derivative of 1 + 1/54*k**4 + 0*k**3 + 108*k - 4/9*k**2. Solve y(d) = 0 for d.
-2, 2
Let b(p) = -p**3 + 6*p**2 + p + 6. Let g be b(-5). Let j be g/(-184) - 3/(-2). Factor -2/3*y**5 + j*y**2 - 8/15*y**4 + 0*y + 0 + 2/15*y**3.
-2*y**3*(y + 1)*(5*y - 1)/15
Find n, given that 620/3*n**2 - 76/3*n**3 + 64 - 1312/3*n = 0.
3/19, 4
Let k(o) = -o**2 + 4. Let z be k(0). Suppose -5*j + 9*j = 5*d + 18, -z*j = d - 6. Factor -6*t**2 + 9*t**j + 4*t**2 - 20 - 2*t**2.
5*(t - 2)*(t + 2)
Solve -9*y**2 + 0*y - 6*y**4 + 3/4*y**5 + 0 + 57/4*y**3 = 0 for y.
0, 1, 3, 4
Let -652*f + 1305/2 - 1/2*f**2 = 0. What is f?
-1305, 1
Let d(y) = -y**3 + 10*y**2 + 17*y - 88. Let j be d(9). Suppose -j + 89 = -19*z. Suppose -4*s**2 + 0 + 2/3*s**z + 6*s = 0. What is s?
0, 3
Let o = -541802/5 - -108361. Factor 0 + 3/5*w**3 - 6/5*w - o*w**2.
3*w*(w - 2)*(w + 1)/5
Let s be 2 + (-12)/(-4) + 3. Let x(v) be the first derivative of v**3 + 5 - 1 + s - 13. Factor x(h).
3*h**2
Suppose -890*j - 356 = -1901*j + 922*j. Factor 57/5*u**3 + 1/5*u**5 + 360 - 24/5*u**j + 492*u + 998/5*u**2.
(u - 15)**2*(u + 2)**3/5
Let l(x) be the second derivative of -x**4/22 + 430*x**3/11 + 2592*x**2/11 + 48*x + 8. Factor l(i).
-6*(i - 432)*(i + 2)/11
Let m = 586 + -585. Let r(i) = 43*i - 41. Let w be r(m). Factor -w*n + 0 + 2/3*n**2.
2*n*(n - 3)/3
Solve 0 + 34/15*y**2 + 76/15*y - 2/15*y**3 = 0.
-2, 0, 19
Let n(j) be the second derivative of 41*j**4/54 - 26*j**3/9 - 8*j**2/9 - 4884*j. Solve n(y) = 0 for y.
-4/41, 2
Factor 20 + 1/6*q**2 + 13/3*q.
(q + 6)*(q + 20)/6
Suppose 2*l + 12 = -h, -5*h + 3158 = -3*l + 3127. Factor -1/2*f**h - 15/2*f - 13.
-(f + 2)*(f + 13)/2
Suppose 66 = -30*z + 41*z. Let s(l) = 2*l**2 - 13*l + 10. Let t be s(z). What is y in -24/19*y - 14/19*y**t - 92/19*y**2 - 66/19*y**3 + 16/19 = 0?
-2, -1, 2/7
Let m(y) be the first derivative of y**4/26 - 2*y**3/3 + 36*y**2/13 + 136. Factor m(l).
2*l*(l - 9)*(l - 4)/13
Let w(m) be the third derivative of -m**7/210 + 5*m**6 - 1500*m**5 + 8*m**2 + 75. Factor w(h).
-h**2*(h - 300)**2
Let s(x) = x - 11. Let o be s(15). Suppose 0*m + 4*m - 4 = -g, g - 8 = -2*m. Factor -o*p**3 + 6 - 24*p**2 + 10 + g*p**2.
-4*(p - 1)*(p + 2)**2
Let d = -358796/3 - -119599. Factor 2/3*t + d*t**4 + 4/3*t**3 + 0 + 5/3*t**2.
t*(t + 1)**2*(t + 2)/3
Let k(i) be the second derivative of i**5/25 + 4*i**4/3 + 106*i**3/15 + 68*i**2/5 + i - 394. Find c such that k(c) = 0.
-17, -2, -1
What is h in 100/3*h + 2/3*h**2 + 98/3 = 0?
-49, -1
Let j be -10*83/(40670/(-112)). Factor -j*a + 32/7 + 2/7*a**2.
2*(a - 4)**2/7
Factor -592/3*m + 1840/3 - 172/3*m**2 + 4/3*m**3.
4*(m - 46)*(m - 2)*(m + 5)/3
Let t(b) = -2*b + 42. Let a be t(10). Let w = a - 19. Find d, given that d**5 + 0*d**5 + 13*d**2 + 20*d**w + 4*d - 5*d**3 + d**4 + 6*d**4 = 0.
-4, -1, 0
Suppose -71*d + 20 = 4*b - 75*d, -b = -5*d - 9. Let g(o) be the third derivative of 1/150*o**5 + 1/120*o**b - 2*o**2 + 0 + 0*o - 1/30*o**3. Factor g(s).
(s + 1)*(2*s - 1)/5
Let o(u) = 9*u**2 + 10*u - 8. Let n(q) = -10*q**2 - 10*q + 9. Let x(k) = 5*n(k) + 6*o(k). Let s be x(-3). Factor -v**3 - 5*v**3 - 9*v**3 - s*v - 10*v**4 + 8*v.
-5*v*(v + 1)**2*(2*v - 1)
Let s(i) be the second derivative of 56/3*i**3 - 8*i**2 + 0 - 7/3*i**4 - 2*i - 39/5*i**5. Solve s(t) = 0.
-1, 2/13, 2/3
Let m(j) be the third derivative of j**5/270 - 329*j**4/54 + 108241*j**3/27 + 2*j**2 + 10*j. Determine n so that m(n) = 0.
329
Let j = -36 - -54. Suppose 7*v - j - 10 = 0. Solve -m**3 + m**2 - v*m + 2*m**2 - 8*m**2 = 0 for m.
-4, -1, 0
Let q = 73 - 68. Let f(m) = -m**2 + 7*m - 8. Let j be f(q). Find a, given that 35*a**2 + 4*a - 72*a**2 + 6 + j + 25*a**2 = 0.
-2/3, 1
Solve 0*o - 52/5*o**3 - 6/5*o**4 + 1/5*o**5 + 24*o**2 + 0 = 0 for o.
-6, 0, 2, 10
Suppose -2/7*y**3 - 190/7*y - 36 - 36/7*y**2 = 0. What is y?
-9, -7, -2
Let o(n) be the third derivative of -3*n**8/28 + 4