y be ((-45)/x + -7)/(-6). Factor -3/8*c - 3/8*c**3 + 0 - y*c**2.
-3*c*(c + 1)**2/8
Factor -35682*w**3 - 375*w + 157*w**2 - 35699*w**3 + 71356*w**3 + w**4 + 306.
(w - 17)*(w - 3)**2*(w - 2)
Let v(i) = -i**2 - 75*i - 854. Let r be v(-14). Let o(d) be the third derivative of -12*d**2 + 2/3*d**3 + 1/15*d**5 + 0 - 1/3*d**4 + r*d. Factor o(g).
4*(g - 1)**2
Find c such that 664*c**3 - 3347*c**4 - 256*c**2 - 3375*c**4 + 14*c**5 + 7138*c**4 + 32*c**2 = 0.
-28, -2, 0, 2/7
Factor 17757796/5 + 16856/5*l + 4/5*l**2.
4*(l + 2107)**2/5
Let f(k) be the first derivative of -k**6/2 + 156*k**5/5 - 1851*k**4/4 - 1666*k**3 + 3726*k**2 + 17496*k - 1615. What is m in f(m) = 0?
-2, 2, 27
Suppose -3*t = 5*r - 49, 5*r - t - 2*t = 61. Suppose 5*p = -3*q + r, 2 - 21 = -4*p + q. Factor 32*j**3 + j**4 + 2*j - 17*j**3 - 2*j**2 - 17*j**3 + j**p.
2*j*(j - 1)**2*(j + 1)
Let c(u) = 94*u**2 - 32*u**2 - 7 - 38*u**2 - 13. Let z = -15 - -18. Let n(s) = -s**3 - 24*s**2 + s + 21. Let r(p) = z*c(p) + 4*n(p). Factor r(y).
-4*(y - 1)*(y + 1)*(y + 6)
Suppose 81 + 121 - 44 - 697*o + 0*o**2 + 67*o - 8*o**2 = 0. What is o?
-79, 1/4
Let t(v) be the third derivative of -11*v**2 + 0*v + 7 + 0*v**3 - 1/300*v**6 - 1/4*v**4 + 4/75*v**5. Factor t(x).
-2*x*(x - 5)*(x - 3)/5
Suppose 0 = 5*p + 3*r - 31, 114*r = 5*p + 118*r - 38. Suppose -18/17*b**3 + 18/17*b + 4/17*b**p - 8/17*b**4 + 4/17 = 0. What is b?
-2, -1, -1/4, 1
Let q(j) = j**3 + 14*j**2 + 12*j - 12. Let a be q(-13). Suppose -o + 5 = x, -3*x + a + 20 = 5*o. Find c, given that -21 + 24*c + 53 - 4 + 8 + 4*c**x = 0.
-3
Suppose 29 + 11 = 6*i - 8. Let z(x) be the first derivative of -25*x + i + 1/4*x**4 - 11/3*x**3 + 35/2*x**2. Factor z(g).
(g - 5)**2*(g - 1)
Let c(f) be the third derivative of -419*f**8/84 - 253*f**7/126 - f**6/180 + 1129*f**2 + 2*f - 3. Factor c(t).
-t**3*(4*t + 1)*(1257*t + 2)/3
Let o be (-114)/(-95)*300/270*1/4. Determine m so that -3*m + o*m**2 + 0 = 0.
0, 9
Let s(g) = 26*g**2 - 9*g - 122. Let w(j) = 27*j**2 - 6*j - 120. Let h(t) = 6*s(t) - 5*w(t). Let h(l) = 0. Calculate l.
-2, 22/7
Let a(j) = -3*j**2 + 4*j + 10. Let v be a(5). Let o = v + 51. Let 0*d**4 + 0*d**5 + 6*d**2 + 3*d**5 - 6*d**3 + 3*d**3 - o*d**4 = 0. Calculate d.
-1, 0, 1, 2
Suppose -k - 5*f + 1399 = 0, -k - 2*f - 6887 = -6*k. Let x = k + -9637/7. Factor -4/7*q**3 + 2/7*q**4 - 8/7*q**2 + x*q + 0.
2*q*(q - 2)**2*(q + 2)/7
Suppose -29/3*a**4 - 3*a**5 - 8/3 + 37/3*a**2 + 13*a**3 - 10*a = 0. What is a?
-4, -1, -2/9, 1
Let x be (-9)/(-18)*(2 + (-290)/30 + 7 - -8). Factor -37/3*u - x*u**3 + 14/3 + 1/3*u**4 + 11*u**2.
(u - 7)*(u - 2)*(u - 1)**2/3
Let l be (-5)/((-245)/273) + 6*2/28. Let o(a) be the third derivative of -18*a**2 + 0*a**4 + 0*a + 0*a**3 + 0 - 1/30*a**5 + 1/120*a**l. Let o(c) = 0. What is c?
0, 2
Let 406*t**4 - 3*t**5 - 9544*t**3 + 410*t**4 - 23763*t - 288*t**4 - 13154*t**3 - 46992*t**2 = 0. What is t?
-1, 0, 89
Let w = 8989 - 8983. Let r(s) be the first derivative of 1/12*s**w + 13/8*s**4 + 0*s - 3/5*s**5 - 2*s**3 + 26 + s**2. Factor r(v).
v*(v - 2)**2*(v - 1)**2/2
Let y = 43661379 + -207959147289/4763. Let h = -2/433 + y. Factor 0 + h*w**3 + 8/11*w + 8/11*w**2.
2*w*(w + 2)**2/11
Let i(z) be the third derivative of -z**9/362880 + z**7/7560 + 2*z**5/5 + 40*z**2. Let c(f) be the third derivative of i(f). Factor c(j).
-j*(j - 2)*(j + 2)/6
Factor -u**2 - 2316*u + 1119*u + 1129*u.
-u*(u + 68)
Let j = 1427173 + -15698853/11. Find s such that 2/11*s**2 - 52/11 + j*s = 0.
-26, 1
Suppose -218*m**2 - 670*m + 850*m**3 - 224 - 291*m**3 + 442*m**4 - 4*m**5 + 115*m**3 = 0. Calculate m.
-1, -1/2, 1, 112
Let p(k) be the first derivative of -k**7/280 - k**6/40 + k**5/10 - 8*k**3 + k - 32. Let a(h) be the third derivative of p(h). Factor a(f).
-3*f*(f - 1)*(f + 4)
Let k(o) be the second derivative of -o**5/40 - 17*o**4/8 - 39*o**3/2 - 46*o**2 + 8*o + 296. Factor k(t).
-(t + 1)*(t + 4)*(t + 46)/2
Factor 416*f**2 - 397303*f - 1452*f**3 - 14*f**4 + 397303*f.
-2*f**2*(f + 104)*(7*f - 2)
Factor -564582 + 6491*d - 381712 + 119669 - 5*d**2 - 1741*d - 301500.
-5*(d - 475)**2
Let j(w) be the first derivative of w**3/6 + 209*w**2/2 + 43681*w/2 + 639. Let j(s) = 0. Calculate s.
-209
Let y be 6 + 3 + -7 + 22/(-16). Let g be 3/(-9) - (-126)/54. Factor 0 - 1/8*p**3 + y*p - 1/2*p**g.
-p*(p - 1)*(p + 5)/8
Let r be (-41)/(-20) + 3 + (-132)/40. Solve -r*d - 3/2 - 1/4*d**2 = 0.
-6, -1
Let a be 0*4/(-8) + -5. Let d be (18 - 3)/a - (0 - 5). Factor 10 + 23*i - 53*i + 22*i - 2*i**d.
-2*(i - 1)*(i + 5)
Factor -1261*b**2 + 144 - 24*b + 2495*b**2 - 1233*b**2.
(b - 12)**2
Let k(d) be the third derivative of -d**7/1260 - 47*d**6/360 - 17*d**5/2 - 525*d**4/2 - 3000*d**3 - 6*d**2 + 134*d. Let k(q) = 0. Calculate q.
-30, -4
Factor 96*g + 190*g - 5*g**2 + 113*g + 90*g + 260 - 609*g.
-5*(g - 2)*(g + 26)
Let z(q) be the second derivative of 1 - 2/5*q**2 - 154/15*q**4 - 18*q + 19/3*q**3. Factor z(y).
-2*(7*y - 2)*(44*y - 1)/5
Factor 51591671044 + 681414*h**2 + 674*h**3 + 1/4*h**4 + 306182024*h.
(h + 674)**4/4
Let t(y) be the first derivative of y**4/8 - 19*y**3/6 + 23*y**2/2 + 168*y + 1750. Let t(k) = 0. Calculate k.
-3, 8, 14
Let a(i) be the first derivative of -9/4*i - 5/4*i**2 - 295 - 1/12*i**3. Determine h, given that a(h) = 0.
-9, -1
Let j be ((-3)/(-2))/((-5)/60). Let l(h) = -h**2 - 22*h - 69. Let a be l(j). Determine u so that 4*u**2 + u**2 - 5*u**a + 12*u**2 - 2*u**2 = 0.
0, 3
Let d be ((-1)/1 - -1)*(-76)/152. Let v(z) be the second derivative of -1/20*z**4 + 1/10*z**3 + d + 12*z + 0*z**2. Factor v(i).
-3*i*(i - 1)/5
Suppose 3*b - 5 = n, 4*n + 5*b - 2*b - 10 = 0. Let d be -6 + n - 44/(-2). Let 12*h**2 + d*h**2 + 3*h**2 + 31*h**2 + 1029 + 441*h + 3*h**3 = 0. What is h?
-7
Suppose 10*q**3 + 5*q**2 - 88 + 267 - 94 - 90 - 10*q = 0. What is q?
-1, -1/2, 1
Let d(m) be the second derivative of m**7/2100 - m**6/16 + 25*m**5/8 - 3125*m**4/48 + 79*m**2 + 93*m. Let l(i) be the first derivative of d(i). Factor l(s).
s*(s - 25)**3/10
Suppose 65 = 53*s - 40*s. Determine u, given that s*u**4 - u**2 + 4053*u - 2022*u - 4*u**2 - 5*u**3 - 2026*u = 0.
-1, 0, 1
Suppose 0 = -9*t - 5125 + 1669. Let l = t - -3073/8. Factor l*a**2 + 5/8*a + 0.
a*(a + 5)/8
Suppose 25*s = 34*s - 72. Let u be (-13)/(390/(-276)) - s. Factor 12*c**2 + 192/5 - 192/5*c - u*c**3.
-6*(c - 4)**2*(c - 2)/5
Suppose 2*g = -k + 25, -2*k + 410 = -5*g + 459. Factor 3/5*s**k + 84/5*s**2 + 0 + 588/5*s.
3*s*(s + 14)**2/5
Let k(x) be the first derivative of 3*x**5/5 - 27*x**4/4 + 21*x**3 - 57*x**2/2 + 18*x - 2847. Factor k(j).
3*(j - 6)*(j - 1)**3
Let y(j) be the second derivative of -j**4/6 + 156*j**3 - 14*j - 20. Factor y(q).
-2*q*(q - 468)
What is r in -2*r**5 - 308*r**3 + 14*r**4 - 12*r - 67*r**4 + 1881 - 2077 + 587*r**2 - 16*r = 0?
-14, -1/2, 1
Let d(h) = 2*h + 8. Let k be d(-5). Let w be (-5)/k*4/5. Determine v so that 2*v**2 - w*v - v + 2*v - v = 0.
0, 1
Let d(b) be the second derivative of 11*b**3 - 9/4*b**4 + 0*b**2 + 0 - 3/20*b**5 - 83*b. Solve d(c) = 0 for c.
-11, 0, 2
Let h(o) be the second derivative of -3*o**5/80 + 409*o**4/16 - 5253*o**3 + 15606*o**2 + 1248*o. Suppose h(k) = 0. Calculate k.
1, 204
Let m = 17 - 6. Suppose -5*h + m = -4. Factor 6*p**2 + p**2 - 3*p**2 + 2*p**h.
2*p**2*(p + 2)
Let b = 28323 - 367687/13. Suppose -64/13*v - 2/13*v**2 - b = 0. Calculate v.
-16
Let p be ((-6)/21)/(750/(-1575)). Let r(g) be the first derivative of 1/10*g**4 + p*g**2 - 2/5*g - 2/5*g**3 - 24. Suppose r(y) = 0. Calculate y.
1
Find z, given that 28*z + 102/7*z**2 + 2/7*z**3 + 0 = 0.
-49, -2, 0
Factor 114*l**4 + 50488394 + 134050*l**2 + 2324*l**3 - 12826653*l + 42476857*l + 7024062 - 110*l**4 + 317570*l**2.
4*(l + 2)*(l + 193)**3
Factor 13/3*t + 2 - 11*t**2.
-(3*t - 2)*(11*t + 3)/3
Let u(t) be the third derivative of -1/3*t**4 - 4/9*t**3 + 35*t**2 + 2 + 0*t + 7/90*t**5. Determine q, given that u(q) = 0.
-2/7, 2
Let x(d) be the first derivative of 1/20*d**5 + 361*d + 399/2*d**2 + 517/12*d**3 - 17 + 21/8*d**4. Factor x(h).
(h + 2)**2*(h + 19)**2/4
Suppose 43*g - 1407 = -289. Solve g*m + 2*m**2 - 18 - 27 - 15 - 6*m**2 + 2*m**2 = 0 for m.
3, 10
Let g be -1*(16 - 13)*-1. Let p(k) be the first derivative of 1/6*k**4 + 0*k**g - 1/3*k**2 + 0*k - 11. Solve p(z) = 0.
-1, 0, 1
Let t(k) be the first derivative of k**4/8 + 25*k**3/6 - 7*k**2 - 26*k + 514. Factor t(q)