ivative of 0 - 25/2*g**3 - 21/20*g**5 - 29/4*g**4 - 154*g - 9/2*g**2. Let z(t) = 0. Calculate t.
-3, -1, -1/7
Suppose 0 = 8*y - 159 - 177. Suppose -16*b = -30*b + y. Determine k, given that -2/5*k**b + 2*k**2 + 8/5 - 16/5*k = 0.
1, 2
Let p(f) be the third derivative of 11/5*f**5 - 86*f**2 + 23/40*f**6 + 8*f**3 - 15/2*f**4 - 9/35*f**7 + 0*f + 0 - 5/112*f**8. Suppose p(q) = 0. What is q?
-4, -2, 2/5, 1
Suppose 3*c + 3*j + 3 = 0, -3*c + c + j + 4 = 0. Let z be 15/8 - c/(-8). Factor 5 - 3 - 147*h**z - 14 + 84*h.
-3*(7*h - 2)**2
Let f(n) be the first derivative of 2*n**6/15 - 16*n**5/5 + 21*n**4 + 32*n**3/3 - 128*n**2 + 61*n - 17. Let k(t) be the first derivative of f(t). Factor k(u).
4*(u - 8)**2*(u - 1)*(u + 1)
Let h = -39817/3 - -13501. Let j = -582394 - -582492. Let -j*i + h - 2/3*i**3 + 14*i**2 = 0. What is i?
7
Let b(x) be the first derivative of -10*x**6/3 + 21*x**5 + 335*x**4/4 - 490*x**3/3 - 510*x**2 + 280*x + 534. What is g in b(g) = 0?
-2, 1/4, 2, 7
Let b(q) be the third derivative of q**8/6720 - q**7/630 - q**6/60 - 27*q**4/8 - 110*q**2 + 1. Let r(w) be the second derivative of b(w). Factor r(j).
j*(j - 6)*(j + 2)
Let f(d) be the second derivative of -d**6/15 + 7*d**5/10 - 5*d**4/6 - 7*d**3/3 + 6*d**2 - d + 1225. Let f(r) = 0. What is r?
-1, 1, 6
Let h = -131778/1157 + 10260/89. Factor 18/13*v**2 - h - 2/13*v + 2/13*v**3.
2*(v - 1)*(v + 1)*(v + 9)/13
Let q = 13368/2597 - 206/49. Let x = -544/689 + q. Let 0 - 6/13*a**2 + 2/13*a + 6/13*a**3 - x*a**4 = 0. What is a?
0, 1
Let y(m) be the third derivative of -1/24*m**5 - 2000/3*m**3 + 0 + 4*m**2 + 25/3*m**4 + 8*m. Determine x so that y(x) = 0.
40
Suppose 5*y = 2*c + 3*y - 16, -y = c - 2. Let p(f) be the first derivative of -5*f**3 + 692*f**2 - 692*f**2 - 13 + c*f**4 - f**5. Let p(a) = 0. What is a?
0, 1, 3
Factor 1/9*i**4 - 17/3*i**2 + 0 + 50/9*i**3 + 0*i.
i**2*(i - 1)*(i + 51)/9
Let y(z) be the second derivative of -z**7/126 + 32*z**6/15 - 1765*z**5/12 - 18719*z**4/18 - 2646*z**3 - 9604*z**2/3 + z - 513. What is u in y(u) = 0?
-2, -1, 98
Determine a so that 4/5*a**2 + 112896/5 - 1344/5*a = 0.
168
Let j be (-560)/(-144) - (-9)/81. Let f(q) be the third derivative of 0*q**j + 1/40*q**6 + 0*q + 0 - 21*q**2 + 0*q**3 - 1/20*q**5. Factor f(w).
3*w**2*(w - 1)
Let g be (-3759)/358*2/(-3)*67. Let t = g - 469. Factor 8/3*h**4 + t - 4/3*h**3 - 4/3*h**5 + 0*h**2 + 0*h.
-4*h**3*(h - 1)**2/3
Factor 0 - 203040*h**3 + 2835/2*h**2 - 5/2*h + 596430*h**4.
5*h*(3*h - 1)*(282*h - 1)**2/2
Let o(t) be the first derivative of 2/39*t**3 + 0*t + 108 + 28/13*t**2. Suppose o(j) = 0. What is j?
-28, 0
Let a = -5027 + 5029. Let n(y) be the first derivative of -1/21*y**3 + 0*y + 20 - 3/14*y**a. Factor n(d).
-d*(d + 3)/7
Let f(k) = -7*k**4 + 398*k**3 - 93*k**2 + 21*k + 7. Let p(c) = 3*c**4 - 133*c**3 + 32*c**2 - 6*c - 2. Let i(j) = 4*f(j) + 14*p(j). Determine b so that i(b) = 0.
0, 2/7, 19
Let 2029*h**3 + 2016*h**3 + 36*h + 3*h**5 - 24*h**4 - 84*h**2 - 3976*h**3 = 0. Calculate h.
0, 1, 2, 3
Let m(l) be the first derivative of 240 + 21/8*l**2 + 0*l - 1/12*l**3. Factor m(n).
-n*(n - 21)/4
Factor -2*a**2 + 1166/5*a + 468/5.
-2*(a - 117)*(5*a + 2)/5
Suppose 5*v = -3*l + 26, v - 22 = -3*l - 3*v. Suppose -7*a + 135 = l*a. Suppose 13*o**3 + 5*o**2 - 2 - 5*o - a*o**3 - 3*o**4 + 7*o**3 = 0. What is o?
-1, -1/3, 1, 2
Suppose -2*u = -g - 0*u + 11, 16 = g - 3*u. Let p be (-1 - -1)/g + 2. Factor -82 - 2*v**p + 2*v**3 + 82 - 4*v.
2*v*(v - 2)*(v + 1)
Let u = -26 - -31. Suppose -4*c - u*f = -37, 2*f = -5*c + 12 + 13. Factor -4*b**5 - 19*b**4 - 2*b**3 - 18*b**c + 3*b**4 - 8*b**2.
-4*b**2*(b + 1)**2*(b + 2)
Let l = 398 + -384. Suppose -l*m + 704 - 704 = 0. Factor -1/5*f**3 + m*f + 1/5*f**2 + 0.
-f**2*(f - 1)/5
Let z(h) be the first derivative of h**8/6720 - h**7/560 + h**6/180 - 2*h**3/3 + 33*h**2/2 - 8. Let x(q) be the third derivative of z(q). What is i in x(i) = 0?
0, 2, 4
Determine q so that -272/5*q**3 + 4/5*q**4 + 272/5*q - 4/5*q**2 + 0 = 0.
-1, 0, 1, 68
Let c be (2 - (-5038)/4)/((-5670)/(-2520)). Determine h, given that c + 2/3*h**4 + 1160*h + 1916/3*h**2 + 40*h**3 = 0.
-29, -1
Let x(w) be the third derivative of 1/70*w**5 - 11/84*w**4 + 0*w + 2/7*w**3 - 7*w**2 + 0. Let x(v) = 0. Calculate v.
2/3, 3
Factor -21*u**3 - 549 - 104*u + 1088 - 168*u**2 - 40*u + 3*u**4 - 539.
3*u*(u - 12)*(u + 1)*(u + 4)
Factor -76 + 10*v**2 + 10 + 160*v - 666 - 14*v**2 - 84.
-4*(v - 34)*(v - 6)
What is l in 2/11*l**2 + 78/11*l + 216/11 = 0?
-36, -3
Let g(j) be the second derivative of -j**5/70 + 205*j**4/42 - 3536*j**3/7 + 10404*j**2/7 - 2661*j. Suppose g(h) = 0. What is h?
1, 102
Let l be 518/8 - (124/16 - 7). Factor 9*w**2 + 201*w**3 + 23*w**2 - 205*w**3 - l*w.
-4*w*(w - 4)**2
Find v such that 637*v**3 - 2*v**4 + 20*v**2 - 2*v**4 - 613*v**3 + 8*v**2 = 0.
-1, 0, 7
Let y = -66443 - -265787/4. Solve 3/4*g**2 + 9/2*g + y = 0.
-5, -1
Find x such that -69*x - 377*x - 344*x + 2*x**2 + 672 + 116*x = 0.
1, 336
Let n(c) be the third derivative of -c**6/10 - 134*c**5/15 - 170*c**4/3 - 112*c**3 + 4*c**2 + 17. Factor n(l).
-4*(l + 2)*(l + 42)*(3*l + 2)
Find r, given that -188/9*r + 8/3*r**2 + 88/3 = 0.
11/6, 6
Let l(m) be the first derivative of -m**7/210 - 13*m**6/90 - 8*m**5/5 - 6*m**4 + m**3/3 - 21*m**2 + 180. Let b(j) be the third derivative of l(j). Factor b(d).
-4*(d + 1)*(d + 6)**2
Let g(k) be the third derivative of -k**6/360 + 31*k**5/60 + 16*k**4/3 + 194*k**3/9 + 10*k**2 - 61. Determine t, given that g(t) = 0.
-2, 97
Let g(v) be the third derivative of 2*v**7/105 - 7*v**6/5 + 661*v**5/15 - 770*v**4 + 24200*v**3/3 + 2935*v**2. Factor g(b).
4*(b - 11)**2*(b - 10)**2
Suppose h - 13 = -52*d + 47*d, h + 2*d = 28. Factor -x**2 + h - 163 - x**2 - 26*x + 32 + 49.
-2*(x + 2)*(x + 11)
Let m = 508673/2 + -254323. Factor 9/2*l**3 - m*l**2 + 31/2*l - 6 - 1/2*l**4.
-(l - 4)*(l - 3)*(l - 1)**2/2
Let 88/5*g**2 - 64 - 312/5*g + 78/5*g**3 - 2/5*g**4 = 0. Calculate g.
-2, -1, 2, 40
Let v(j) = j**3 + j + 1. Let f(s) = -5*s**2 + 3*s - 1. Let q be (-1 - -3)/1*1. Suppose q*k = -14*k + 16. Let h(w) = k*v(w) + f(w). Let h(x) = 0. Calculate x.
0, 1, 4
Let t(i) be the first derivative of 26*i**2 + 120*i + 4/3*i**3 + 102. Find u such that t(u) = 0.
-10, -3
Let f(y) be the first derivative of y**6/4 - 17*y**5/20 + y**4/2 + 3*y**3/2 + 30*y**2 - 63. Let o(q) be the second derivative of f(q). Factor o(d).
3*(d - 1)**2*(10*d + 3)
Let q(y) = -31*y**2 + 2*y. Let c(z) = -123*z**2 + 11*z - 40. Let s(n) = c(n) - 4*q(n). Factor s(p).
(p - 5)*(p + 8)
Let l(p) be the first derivative of -9 - 29791/2*p - 31/2*p**3 + 2883/4*p**2 + 1/8*p**4. Solve l(b) = 0.
31
Let l(t) = 17*t + 53. Let x be l(-3). Factor -2*h**2 + 14*h**2 - x*h - 10*h**2.
2*h*(h - 1)
Let i(o) be the second derivative of -o**7/42 - 13*o**6/30 - 11*o**5/10 - 187*o + 2. Factor i(s).
-s**3*(s + 2)*(s + 11)
Suppose -89*a + 1058 = 101*a - 82. Let k(o) be the first derivative of o**4 + a*o**2 + 0*o + 32 + 16/3*o**3. Factor k(v).
4*v*(v + 1)*(v + 3)
Let y(s) be the second derivative of 64*s**2 + 0 + 308*s - 5/2*s**4 - 1/60*s**6 + 16/3*s**3 - 2/5*s**5. Find g, given that y(g) = 0.
-8, -2, 2
Let l = -70805 + 70807. Let -1/5*n**l - 2*n - 21/5 = 0. What is n?
-7, -3
Let h(t) be the third derivative of 7*t**6/60 - 41*t**5/6 + 29*t**4/6 - 5*t**2 + 3*t - 2. Find o, given that h(o) = 0.
0, 2/7, 29
Let l(u) be the first derivative of -1/90*u**6 - 9 + 0*u**4 - 1/12*u**5 + 0*u**3 - 24*u + 0*u**2. Let m(y) be the first derivative of l(y). Factor m(p).
-p**3*(p + 5)/3
Suppose 4*p - 24 = -4*w, 0 = -5*w + 4*p + p. Suppose 0 = 4*q - 2*m + 2, q - 17 = -0*q - w*m. Factor -2*z**2 + 2*z**q - 4*z**2.
-4*z**2
Let t(u) be the third derivative of u**5/120 + 25*u**4/48 - 31*u**3/2 - 4501*u**2. Factor t(j).
(j - 6)*(j + 31)/2
Let g = 3514 - 14051/4. Let o(z) be the second derivative of 3/2*z**2 + 0 - 9/20*z**5 - 12*z - g*z**4 - 1/2*z**3. Factor o(h).
-3*(h + 1)**2*(3*h - 1)
Let l(v) be the third derivative of v**8/96 - 5*v**7/21 + 203*v**6/240 - 67*v**5/60 + v**4/2 + 1858*v**2. Solve l(c) = 0.
0, 2/7, 1, 12
Let o(c) be the third derivative of -1/20*c**5 + 0 + 17/2*c**4 - 578*c**3 - 24*c**2 - 2*c. Factor o(d).
-3*(d - 34)**2
Let p be 5 + (-7 - -3 - -2). Factor -147*j - 100*j**p - 8 - 242*j**2 + 31*j + 34*j**2.
-4*(j + 1)**2*(25*j + 2)
Let m(k) be the third deriv