*2/7
Let q(c) = 2*c**3 + 18*c**2 - 3*c - 23. Let m be q(-9). Let h(v) be the second derivative of 7/48*v**m + 0 + 3/8*v**2 + 24*v + 5/12*v**3. Factor h(f).
(f + 1)*(7*f + 3)/4
Let h(k) be the first derivative of -8/5*k**3 + 8/5*k**2 + 4/5*k**4 + 143 - 4/5*k - 4/25*k**5. Factor h(j).
-4*(j - 1)**4/5
Let f be 2 + (-28)/16 + 3 + 98/56. Let u(n) be the first derivative of 0*n**2 + 0*n - 3/20*n**4 + 0*n**3 - 3/25*n**f + 32. Find g, given that u(g) = 0.
-1, 0
Let o(t) be the second derivative of -7/3*t**3 + 2 - 1/24*t**4 + 0*t**2 - 7*t. Factor o(q).
-q*(q + 28)/2
Let x(p) be the first derivative of -p**5/20 + 15*p**4/16 + 37*p**3/12 - 51*p**2/8 + 2865. Solve x(c) = 0 for c.
-3, 0, 1, 17
Suppose -6*w = -75 - 3. Suppose -w = u - 32. Factor u*q**2 + 0*q - 4 + 2*q**3 - 4*q + 3*q**4 - 11*q**3 - 5*q**3.
(q - 2)**2*(q - 1)*(3*q + 1)
Let h(n) be the first derivative of -33/7*n**2 - 81/7*n**4 - 144/35*n**5 - 242/21*n**3 + 47 - 4/7*n. What is r in h(r) = 0?
-1, -2/3, -1/2, -1/12
Suppose -47/3*l**4 + 0 + 0*l**2 + 0*l + 1/3*l**5 + 46/3*l**3 = 0. What is l?
0, 1, 46
Factor 77/4*j - 77/4*j**3 - 39/2 + 79/4*j**2 - 1/4*j**4.
-(j - 1)**2*(j + 1)*(j + 78)/4
Suppose 10/11*v**4 - 24/11 - 8/11*v**5 - 226/11*v**2 + 146/11*v + 102/11*v**3 = 0. Calculate v.
-4, 1/4, 1, 3
Let 120 - 33*m**2 - 117/4*m**3 + 3/4*m**4 + 117*m = 0. What is m?
-2, -1, 2, 40
Factor 17*x**2 + 12*x + 7*x**2 + 6*x**2 - 246*x - 33*x**2.
-3*x*(x + 78)
Let f(m) be the third derivative of m**5/15 - 53*m**4 + 16854*m**3 - 1186*m**2. Factor f(x).
4*(x - 159)**2
Factor 2*l**3 + 28 - 16234*l + 291 + 3*l**3 - 110*l**2 + 41 + 15979*l.
5*(l - 24)*(l - 1)*(l + 3)
Let g(l) be the third derivative of 0*l**4 - 137*l**2 - 1/5*l**5 + 2/35*l**7 - 7/30*l**6 + 1/12*l**8 + 0 + 0*l + 0*l**3. Suppose g(p) = 0. What is p?
-1, -3/7, 0, 1
Let 18/11*r**2 - 1/11*r**3 - 29/11*r - 48/11 = 0. Calculate r.
-1, 3, 16
Determine m, given that 249*m**2 + 85*m**3 + 91/9*m**4 + 246*m + 1/9*m**5 + 0 = 0.
-82, -3, 0
Solve 949 + 22*y**5 + 144*y**4 - 2*y**5 + 308*y**3 + 216*y**2 - 949 + 32*y = 0 for y.
-4, -2, -1, -1/5, 0
Let t = -24150 - -120752/5. Factor 16/5*y**3 + 48/5*y + t*y**4 + 44/5*y**2 + 18/5.
2*(y + 1)**2*(y + 3)**2/5
Let t = 594843/1586120 - 6/198265. Factor -t*h**2 + 15/4 - 9/8*h.
-3*(h - 2)*(h + 5)/8
Let k(c) = c**2 - 73*c + 147. Let p be k(2). Let r(n) be the second derivative of 1/6*n**2 + 1/60*n**p + 0 - 1/36*n**4 + 26*n - 1/18*n**3. Factor r(s).
(s - 1)**2*(s + 1)/3
Factor 25*n**3 - 160*n**2 - 242*n**4 + 16*n + 164*n + 247*n**4.
5*n*(n - 2)**2*(n + 9)
Suppose -12*c = -51 - 405. Suppose c = 129*g - 110*g. Solve -4 + 2/3*t**g + 2/3*t = 0 for t.
-3, 2
Factor 66*h**2 - 62*h + 306 - 131*h**2 + 95*h + 62*h**2.
-3*(h - 17)*(h + 6)
Factor 815/2*d - 89/2*d**2 - 1975/2 + 1/2*d**3.
(d - 79)*(d - 5)**2/2
Let o(d) be the first derivative of -d**5/5 - 3*d**4/2 - 3*d**3 - 2*d**2 + 811. Suppose o(x) = 0. What is x?
-4, -1, 0
Let u(i) be the second derivative of -15/2*i**2 + 55/12*i**4 - 68*i + 0 - 65/6*i**3 + 5/4*i**5. Factor u(v).
5*(v - 1)*(v + 3)*(5*v + 1)
Let o(n) = 10*n - 58. Let v(w) = -w**2 + 2*w - 1. Let q(b) = 2*o(b) - 4*v(b). Factor q(z).
4*(z - 4)*(z + 7)
Let f = 3292 + -3289. Let z(q) be the first derivative of f*q**3 - 10 + 3*q**2 - 15/4*q**4 + 0*q. Factor z(g).
-3*g*(g - 1)*(5*g + 2)
Let f be 104/(-13) + 20 - -4. Let w(k) be the first derivative of -k**3 - f - 6*k + 9/2*k**2. What is d in w(d) = 0?
1, 2
Let g(x) = 5*x**5 + x + 3. Let j(h) = -11*h**5 + 42*h**4 + 57*h**3 + 12*h**2 - 16*h - 12. Let p(z) = -4*g(z) - j(z). Let p(k) = 0. Calculate k.
-2, -1, 0, 1/3
Let d(r) = 7*r**4 - 16*r**3 - 13*r**2 + 54*r + 4. Let p(s) = 5*s**4 - 15*s**3 - 14*s**2 + 48*s + 3. Let n(k) = -3*d(k) + 4*p(k). Factor n(c).
-c*(c - 1)*(c + 3)*(c + 10)
Let q = -408952/15 - -80759/3. Let v = q + 348. Solve 3/5*c**2 + v + 24/5*c = 0.
-7, -1
Let f be (-28)/(-28)*((-6)/(-4))/((-9)/(-24)). Determine q so that -13/3*q - f + 1/3*q**3 + 0*q**2 = 0.
-3, -1, 4
Let a be 1058*-1 + 240/20. Let v = 17784/17 + a. Factor -v*w**2 + 24/17 - 8/17*w.
-2*(w - 2)*(w + 6)/17
Determine x, given that 18/5*x + 0 - 4*x**3 + 0*x**4 + 0*x**2 + 2/5*x**5 = 0.
-3, -1, 0, 1, 3
Let b = 19455 + -19451. Let w(k) be the first derivative of 1/6*k**6 + b*k**2 + 15 + 1/5*k**5 - 3/2*k**4 + 0*k - 4/3*k**3. Factor w(x).
x*(x - 2)*(x - 1)*(x + 2)**2
Factor 31*r**2 + 83*r + 392 + 25*r**2 + 313*r - 86*r**2 + 34*r**2.
4*(r + 1)*(r + 98)
Let u be (-9)/((-117)/104) - (-1 + -10). Let s(l) be the third derivative of 0*l + 1/2*l**4 - u*l**2 - 5/3*l**3 - 1/30*l**5 + 0. Solve s(w) = 0 for w.
1, 5
Let z be 32/24 + 10/6. Solve 111*r + 12 + 24 + r**2 - 54*r**z + 80*r**2 + 60*r**3 = 0 for r.
-12, -1, -1/2
Let p(b) be the first derivative of b**6/120 - 3*b**5/10 + 9*b**4/2 + 34*b**3/3 - 30. Let d(z) be the third derivative of p(z). Suppose d(s) = 0. What is s?
6
Factor 905*d**2 + 499*d - 220 + 1135*d**2 - 2049*d**2.
-(d - 55)*(9*d - 4)
Let w(x) = -22*x + 46. Let d be w(2). Find s such that 669*s**4 - 672*s**4 + 5*s**2 - d*s**2 - 6*s + 6*s**3 = 0.
-1, 0, 1, 2
Let t(w) = -2*w**4 + 23*w**3 - 249*w + 519. Let g(o) be the first derivative of o**4/4 + o**2/2 + o + 133. Let x(d) = 14*g(d) - 2*t(d). Factor x(r).
4*(r - 4)**3*(r + 4)
Let v(p) be the second derivative of p**5/10 - 31*p**4/12 + 9*p**3 + 7215*p. Factor v(z).
z*(z - 2)*(2*z - 27)
Let i(t) be the second derivative of 55*t - 2*t**2 + 2 + 8/9*t**3 - 1/9*t**4. Solve i(c) = 0.
1, 3
Let m(v) be the second derivative of v**7/2520 - 7*v**5/360 + v**4/12 + 35*v**3/6 + 61*v. Let n(c) be the second derivative of m(c). Factor n(g).
(g - 2)*(g - 1)*(g + 3)/3
Find a, given that -104/3*a**2 + 1/3*a**5 - 224/3*a - 2/3*a**3 + 7/3*a**4 - 128/3 = 0.
-4, -2, -1, 4
Factor -1134 - 324*r + 185*r - 2*r**2 - 5*r.
-2*(r + 9)*(r + 63)
Suppose 1/4*a**3 + 15/4*a**2 + 15 + 14*a = 0. What is a?
-10, -3, -2
Determine z so that 149*z - 95265 + 234*z**2 + 95263 - 7*z**2 + 76*z**3 = 0.
-2, -1, 1/76
Let l = -176406 + 176408. Suppose 12/11 + 20/11*m**l - 46/11*m = 0. Calculate m.
3/10, 2
Let j(v) be the second derivative of -v**4/27 + 262*v**3/27 + 532*v**2/9 - 1641*v. Determine u, given that j(u) = 0.
-2, 133
Determine a so that -708/5*a**2 + 960 + 6/5*a**5 - 1344*a + 2382/5*a**3 + 48*a**4 = 0.
-20, -2, 1
Let f(d) = 4*d + 6. Let y be f(-11). Let g = y + 40. Factor -17*r - 2 - r**g + 7*r + 7*r.
-(r + 1)*(r + 2)
Determine f, given that 3645/2*f + 0 + 612*f**2 + 3/2*f**3 = 0.
-405, -3, 0
Let j(b) be the first derivative of -5*b**3/3 + 320*b**2 - 213. Factor j(w).
-5*w*(w - 128)
Let a(x) be the second derivative of -x**4/3 - 1232*x**3 - 1707552*x**2 + 4015*x. Factor a(u).
-4*(u + 924)**2
Suppose 22 = -3*f + 94. Let y = f + -4. Factor y*i - 10 - 5*i**2 + 0*i**2 - 35*i.
-5*(i + 1)*(i + 2)
Let g(t) be the third derivative of -1/60*t**4 + 0*t**3 - 26*t**2 + 8/525*t**7 + 4/75*t**6 + 0*t - 1/300*t**5 + 0. Suppose g(n) = 0. What is n?
-2, -1/4, 0, 1/4
Let -1/3*a**2 - 29*a - 84 = 0. What is a?
-84, -3
Let h(u) = 3*u**2 - 15*u - 9. Let y be (-9)/(1 - -1 - 1). Let p(i) = 2*i**2 - 8*i - 5. Let b = 210 - 205. Let f(s) = b*h(s) + y*p(s). Factor f(n).
-3*n*(n + 1)
Let t be (-241987)/31720 + (-16)/(-2). Let f = t + 1/260. Suppose -9/8*j - 9/8*j**4 + f*j**5 + 3/4*j**2 + 3/8 + 3/4*j**3 = 0. What is j?
-1, 1
Let k(p) be the third derivative of -p**6/360 - 7*p**5/36 - 25*p**4/6 + 1168*p**2. Determine u so that k(u) = 0.
-20, -15, 0
Find x such that -446/9 + 148/3*x + 2/9*x**2 = 0.
-223, 1
Let l(o) be the second derivative of 2*o**7/7 - 2*o**6/3 - 31*o**5/5 + 49*o**4/3 + 24*o**3 - 72*o**2 + 329*o. Let l(m) = 0. Calculate m.
-3, -1, 2/3, 2, 3
Suppose 2*z - 3*m - 8758 + 8712 = 0, -2*m = z + 26. Determine l, given that -3/8*l + 21/4*l**z - 147/8*l**3 + 0 = 0.
0, 1/7
Let l = -115471 + 115471. Solve l - 8/17*x + 8/17*x**2 - 2/17*x**4 + 2/17*x**3 = 0.
-2, 0, 1, 2
Let x(i) be the second derivative of i**4/12 + 28*i**3 - 170*i**2 - 2223*i. Factor x(o).
(o - 2)*(o + 170)
Let j = -2/5 + 3/5. Suppose 30316*w - 30318*w = 0. Factor w*i + 0 - 6/5*i**4 + 9/5*i**3 + 0*i**2 + j*i**5.
i**3*(i - 3)**2/5
Let r(s) be the third derivative of -s**6/105 + 3*s**5/35 + 16*s**4/21 + 2*s**3 - 7891*s**2. Factor r(k).
-4*(k - 7)*(k + 1)*(2*k + 3)/7
Let m(d) be the first derivative of 89 + d**4 + 48*d - 20/3*d**3 - 16*d**2. Factor m(p).
4*(p