(k + 12)
Suppose -5*j = -5*a - 80, -4*j = 4*a - 24 - 8. Let o(x) be the first derivative of 1/12*x**4 - 1/9*x**3 - 1/6*x**2 + 1/3*x + j. Factor o(d).
(d - 1)**2*(d + 1)/3
Let w = 1185768/11 + -107797. Find o, given that -35/11*o - w*o**3 + 13/11*o**2 - 49/11 = 0.
-1, 7
Let s = -883/45 + 4207/180. Let y(v) be the first derivative of 41 - s*v + 5/4*v**2 + 5/12*v**3. Factor y(d).
5*(d - 1)*(d + 3)/4
Let s(u) be the first derivative of u**5 + 25*u**4/4 - 155*u**3/3 + 215*u**2/2 - 90*u + 1164. Let s(v) = 0. Calculate v.
-9, 1, 2
Suppose 0 = -u - 4*g + 22, -2*g + 12 = 4. Let l be u - 130/15 - -4. Factor 4/3 + 8/3*d + l*d**2.
4*(d + 1)**2/3
Let k(o) be the second derivative of -58/3*o**3 + 2*o + 841/12*o**4 + 2*o**2 + 16. Factor k(u).
(29*u - 2)**2
Let v(o) be the second derivative of -o**5/30 + 11*o**4/9 + 951*o. Suppose v(l) = 0. Calculate l.
0, 22
Let i(q) = 39*q**4 + 228*q**3 + 450*q**2 + 420*q + 87. Let m(f) = -8*f**4 - 46*f**3 - 90*f**2 - 84*f - 17. Let x(h) = 5*i(h) + 24*m(h). Let x(d) = 0. What is d?
-9, -1
Suppose 4*d - 7 = 5*f - 3, 2*f = -d + 14. Let a be (-8)/6*(-53 + 50). Solve -5*r**4 + 3 + 4*r**4 - d*r**2 + 2*r**4 + 2*r**a = 0.
-1, 1
Let x(z) be the second derivative of -5*z**7/14 - 4*z**6/5 + 477*z**5/20 - 101*z**4/2 + 28*z**3 - z - 402. Suppose x(s) = 0. Calculate s.
-7, 0, 2/5, 1, 4
Let c be 269/64 - (-13 - -12 - -5). Let l(j) be the third derivative of 1/40*j**5 + 3/16*j**3 - 3*j**2 + 0 + 0*j + c*j**4. What is d in l(d) = 0?
-3, -1/4
Suppose -319*f + 313*f = -528. Factor 18*p + 4*p + 87*p + 8281 - 15*p + p**2 + f*p.
(p + 91)**2
Let s(h) be the third derivative of -1/12*h**4 + 1/540*h**6 + 0*h**3 + 0*h + 26*h**2 + 0 + 4/135*h**5. Suppose s(m) = 0. Calculate m.
-9, 0, 1
Let q be -2*3/16*(-50240)/10990. Find b, given that -363*b**2 - 549*b**4 + q - 276/7*b - 6096/7*b**3 = 0.
-1, -1/3, -2/7, 2/61
Let z be 327332/2360 + -125 + 1/((-5)/6). Suppose 3/2*f**3 + 22*f - 6 - z*f**2 = 0. Calculate f.
1/3, 2, 6
Let k(j) = -10*j**2 + 10*j - 5. Suppose 3*w - 53 = v, 0 = -4*w + 2*v + 28 + 40. Let g(f) = -w + 19 + f**2. Let u(c) = 5*g(c) + k(c). Solve u(h) = 0 for h.
1
Suppose 4*y - 5*y + 2 = 0. Find m such that -31*m**y + 23*m**2 - 37*m**2 - 95*m**3 + 95*m + 16 + 9 + 20*m**4 = 0.
-1, -1/4, 1, 5
Let m(a) = a**2 - 5*a + 10. Let n be m(2). Let y be ((-2)/n)/(3 - 341/110). Find p, given that -4/5*p**4 - 8/5*p + 0 + 4/5*p**2 - 12/5*p**y + 4*p**3 = 0.
-1, 0, 2/3, 1
Let p be (48/(-1152))/(30/(-8)). Let o(j) be the third derivative of 0*j - 9*j**2 + 0 - 1/45*j**3 - 1/45*j**4 + p*j**5. Factor o(z).
2*(z - 1)*(5*z + 1)/15
Determine z, given that 203/6*z**3 + 0 - 1/6*z**5 + 147*z**2 + 0*z + 2/3*z**4 = 0.
-7, 0, 18
Let g(f) be the third derivative of 507*f**7/665 + 26*f**6/95 + 8*f**5/285 - 885*f**2 + 2. Determine n so that g(n) = 0.
-4/39, 0
Let f = -92 - -110. Suppose -16 = r - f. Find m such that r - 5 - 5 + m**2 + m**2 = 0.
-2, 2
Let x(z) be the second derivative of z**5/110 + 857*z**4/66 - 1718*z**3/33 - 171*z + 17. Factor x(l).
2*l*(l - 2)*(l + 859)/11
Let t(q) be the second derivative of -q**4/16 + 2*q**3 + 891*q**2/8 + 2218*q. Solve t(p) = 0.
-11, 27
Let 225 - 32 + 107 + 33*g**2 - 212*g - 117*g**3 + 116*g**3 = 0. Calculate g.
2, 6, 25
Let f be (265 - 256)*2/6. Factor 10/7*p + 2/7*p**2 - 2/7*p**f + 6/7.
-2*(p - 3)*(p + 1)**2/7
Let h = -212548 - -212550. Solve 3 - 3/2*u**h - 3/2*u = 0 for u.
-2, 1
Let i(v) be the second derivative of -v**7/147 - v**6/15 - v**5/7 + 3*v**4/7 + 9*v**3/7 - 27*v**2/7 - 13658*v. Let i(r) = 0. What is r?
-3, 1
Let j = 1161 + -1155. Let o(h) be the second derivative of 20*h**2 + 0 - 5/4*h**5 - 10*h - 1/6*h**j - 5/2*h**4 + 10/3*h**3. Factor o(f).
-5*(f - 1)*(f + 2)**3
Let x(w) be the third derivative of 0*w + 0 - 1/1155*w**7 + 1/22*w**5 + 1/110*w**6 - 25/33*w**4 - 83*w**2 + 0*w**3. Factor x(j).
-2*j*(j - 5)**2*(j + 4)/11
Let t = 113 - 104. Factor 38*q - 42 - 3*q**2 - 2*q - t*q.
-3*(q - 7)*(q - 2)
Let u(j) be the third derivative of j**8/13440 - j**7/1680 + j**6/720 + 8*j**4/3 - 2*j**2 + 10*j. Let m(s) be the second derivative of u(s). Factor m(x).
x*(x - 2)*(x - 1)/2
Let k = -2/4697 + 14099/18788. Let q(o) be the second derivative of 0 - 9*o + k*o**4 - 2*o**3 - 6*o**2 + 3/5*o**5 + 1/10*o**6. Solve q(p) = 0 for p.
-2, -1, 1
Let u be (-1 + -8)/(-3) + 1. Let m be (-4 - -1)/((-6)/u). Let 8*s**4 + 0*s - 8*s**2 + s**5 + m*s + 2*s - 5*s**5 = 0. Calculate s.
-1, 0, 1
Let s(i) be the third derivative of i**5/270 - 17*i**4/36 - 52*i**3/27 + 36*i**2 + 28*i. Find h such that s(h) = 0.
-1, 52
Let k = -7589 - -7602. Let m(n) be the first derivative of 0*n + 0*n**3 + k + 1/2*n**4 - n**2. Factor m(g).
2*g*(g - 1)*(g + 1)
Let l = 219 - 217. Let a be (20/180)/((-1)/(-3))*1. Find w, given that 14/3*w + 49/3 + a*w**l = 0.
-7
Let a(s) be the first derivative of s**5/330 + 59*s**4/66 + 3481*s**3/33 - 3*s**2/2 - 13*s - 74. Let i(x) be the second derivative of a(x). Factor i(d).
2*(d + 59)**2/11
Let f(t) be the first derivative of -t**3/3 + 27*t**2 - 729*t - 526. Factor f(d).
-(d - 27)**2
Let w(u) be the second derivative of 11/10*u**6 - 11/4*u**4 + 0*u**2 + 9/5*u**5 - u**7 + 0 + u**3 - 76*u. Suppose w(v) = 0. What is v?
-1, 0, 2/7, 1/2, 1
Let c be 1/(-2) - 1784/(-16). Suppose c*q = 116*q - 10. Factor 577*x**2 + 25*x**4 + 3*x - 3*x - 80*x**3 - 562*x**q.
5*x**2*(x - 3)*(5*x - 1)
Let k(f) = 2*f**2 + 5*f - 10. Let t be k(-4). Let i(p) be the second derivative of 2*p**t + 0 + 7/3*p**4 - 16*p - 16/3*p**3. Factor i(b).
4*(b - 1)*(7*b - 1)
Let v(f) = 3*f**3 + 41*f**2 - 8*f + 110. Let u be v(-14). Let q(g) be the first derivative of 1/3*g**2 + 4/9*g**3 + 1/6*g**4 + 0*g + u. Solve q(r) = 0 for r.
-1, 0
Let s = -10 + 14. Let f be 7 + 3 + -11 + 6. Factor -353*i**4 + 2*i**f + 353*i**4 - 6*i**3 - s*i**2.
2*i**2*(i - 2)*(i + 1)**2
Let p(j) be the first derivative of j**5/40 - 145*j**4/32 - 299*j**3/24 + 729*j**2/16 + 441*j/4 + 1944. Suppose p(n) = 0. What is n?
-3, -1, 2, 147
Suppose 0 = -4*x + 5*j + 87, 8*x + 2148 - 2187 = j. Find h such that -14/5*h**5 - 19*h**x - 22/5*h**2 - 67/5*h**4 + 8/5 + 28/5*h = 0.
-2, -1, -2/7, 1/2
Factor 9*j - 1/4*j**2 + 19.
-(j - 38)*(j + 2)/4
Let k(t) be the first derivative of t**4/12 + 10*t**3/3 + 161*t**2/6 + 6499. Solve k(j) = 0.
-23, -7, 0
Let d = -55277 + 386945/7. Find u, given that 111/7*u**3 - 45/7*u**4 - 99/7*u**2 + 27/7*u + d*u**5 + 0 = 0.
0, 1/2, 1, 3
Let p(z) be the first derivative of 2/33*z**3 + 233 - 13/11*z**2 + 72/11*z. Factor p(j).
2*(j - 9)*(j - 4)/11
Let s(d) = 33 + 3 + 3*d - 6*d - 6. Let r be s(9). Find y such that 10*y**3 + 12*y**4 + 26*y**3 + 8*y - 4*y**4 - 8*y**r + 28*y**2 = 0.
-2, -1, -1/2, 0
Let b = 411 + -390. Let n be -4 - (-6 - (-30)/b). Factor 0 + 4/7*l**4 + 1/7*l**5 + 0*l**2 + n*l**3 + 0*l.
l**3*(l + 2)**2/7
Factor 65*f + 198375 - 198375 - 5*f**2.
-5*f*(f - 13)
Solve -20/3*f + 16/3*f**2 + 0 - 16/3*f**4 - 4/3*f**5 + 8*f**3 = 0 for f.
-5, -1, 0, 1
Let d(z) be the first derivative of z**6/36 + 7*z**5/30 + 3*z**4/4 + 10*z**3/9 + 2*z**2/3 + 1608. Factor d(q).
q*(q + 1)*(q + 2)**3/6
Suppose -13*k = -7*k + 30. Let d be (54/(-15))/(1/k). Factor -20 + 5*z**2 + z + 38 - d.
z*(5*z + 1)
Let m(v) = v**3 + 5*v**2 - 7*v + 9. Let h be m(-6). Let u be 12/(-3) - (-3 - h). Factor -9*w**2 + 5*w**4 + 0*w**4 - u*w**2 + 18*w**2.
5*w**2*(w - 1)*(w + 1)
Let r(q) be the third derivative of -q**6/300 - q**5 - 1771*q**4/20 + 23716*q**3/15 + 116*q**2 - 3. Factor r(c).
-2*(c - 4)*(c + 77)**2/5
Let h = 969 + -969. Find m, given that -14*m**2 - 6*m**3 - 10*m**3 + h + 32 + 24*m - 4*m + 14*m**3 = 0.
-8, -1, 2
Let c(h) be the second derivative of 3/2*h**3 - 3 - 7*h + 0*h**5 + 11/24*h**4 + 2*h**2 - 1/60*h**6. Determine p, given that c(p) = 0.
-2, -1, 4
Suppose 0 = 366*d - 377*d. Let y be (9/(-12)*3*-2)/2. What is x in -3/4*x**5 + 3/4*x**2 + 0*x + y*x**4 - 9/4*x**3 + d = 0?
0, 1
Factor 0 + 5/2*u**4 + 25/2*u**3 + 40*u - 55*u**2.
5*u*(u - 2)*(u - 1)*(u + 8)/2
Let a(z) = 6*z**2 + 5202*z + 10386. Let h(b) = -2*b**2 - 2*b - 2. Let q(l) = -a(l) - h(l). Suppose q(c) = 0. Calculate c.
-1298, -2
Let h(r) be the second derivative of -r**4/9 + 247*r**3/9 - 41*r**2 - 54*r + 3. Find g such that h(g) = 0.
1/2, 123
Let j be 26/(-221)*(-31 + 14). Let q(v) be the first derivative of -2/3*v**3 + 2*v**2 - 29 - j*v. Factor q(o).
-2*(o - 1)**2
Suppose 0 = u +