termine m so that -10*m**3 - 35*m**2 - 17*m**f - 20*m + 17*m**3 + 5*m**4 = 0.
-1, 0, 4
Factor 80 - 845/3*r + 10/3*r**3 - 925/6*r**2.
5*(r - 48)*(r + 2)*(4*r - 1)/6
Suppose -192*d + 43*d + 50*d = -32*d - 38*d. Factor 285/2*i**2 + 35/2*i**4 - 45/2*i + 205/2*i**3 + d.
5*i*(i + 3)**2*(7*i - 1)/2
Let a be (-4 + 3)*2 - -5. Find l such that 553*l - 11*l**4 - 2*l**5 - 68*l**2 + 0*l**5 + 505*l - 1056*l**a - 24*l**2 + 103*l**4 = 0.
-1, 0, 1, 23
Suppose 0 = n - 0*n + 4*u - 25, 0 = -3*n - u + 20. Let k = -3 + n. Suppose k*q**2 + q**2 + 5*q - 6*q**2 + q = 0. What is q?
0, 2
Let v(f) be the first derivative of -f**2/2 - f + 158. Let m(x) = -14*x**3 - 276*x**2 + 376*x - 82. Let i(j) = 2*m(j) + 4*v(j). Suppose i(o) = 0. Calculate o.
-21, 2/7, 1
Let y(w) = -54 + 25 + 40 + 44*w. Let g be y(2). Factor g*h**2 - 52*h**2 - 51*h**2 + 4.
-4*(h - 1)*(h + 1)
Suppose -35508 = 108*q - 86*q. Let t = -1611 - q. Let 0 - 4/3*v**4 + 0*v - 14/3*v**t - 8/3*v**2 + 2/3*v**5 = 0. What is v?
-1, 0, 4
Let o(n) be the second derivative of -238*n - 1/9*n**4 + 388/9*n**3 - 18818/3*n**2 - 2. Factor o(c).
-4*(c - 97)**2/3
Suppose 2*y - 4*w = 14, -6*y + 10*y - 5*w - 19 = 0. Let x be -4*(0 - -1)*y/(-2). Factor -x*d + d**2 - 4 + 1/2*d**3.
(d - 2)*(d + 2)**2/2
Let -8448/5*l - 8712/5 + 262/5*l**2 - 2/5*l**3 = 0. What is l?
-1, 66
Let h be (-17184)/(-84)*(-2)/(-12). Let b = h + -92/3. Let 18/7*s**2 - 12*s - 75/7*s**4 + 165/7*s**3 - b = 0. What is s?
-2/5, 1, 2
Let q(f) = -7*f**3 - 7*f**2 + 80*f - 66. Let w(h) = -29*h**3 - 24*h**2 + 320*h - 267. Let d(r) = 9*q(r) - 2*w(r). Suppose d(g) = 0. What is g?
-6, 1, 2
Suppose -64 = 5*x + 4*u, 0 = x + 3*u - 2*u + 12. Let a = -12 - x. Factor 17*j**3 + a + 5*j**2 - 12*j**3 - 8*j - 6*j**3.
-(j - 2)**2*(j - 1)
Suppose -272*m**2 - 150 - 17*m + 53*m + 702 - 4*m**3 + 248*m = 0. Calculate m.
-69, -1, 2
Factor -39/5*a + 3/5*a**2 - 342/5.
3*(a - 19)*(a + 6)/5
Suppose 0 = 3*m + 5*p - 65, 4*m - p = 2*p + 48. Suppose 19 + 11 - m*d - 5*d**2 - 15*d + 5*d = 0. Calculate d.
-6, 1
Factor 2*f**4 - 5*f + 51*f + 50*f + 27*f**2 + 94*f**2 + 32*f**3 - 17*f**2.
2*f*(f + 2)**2*(f + 12)
Let s(y) be the first derivative of y**5 - 15*y**4/4 - 70*y**3/3 + 120*y**2 - 160*y - 1369. Find z, given that s(z) = 0.
-4, 1, 2, 4
Let t(b) be the third derivative of -4 - 29*b**2 - 1/14*b**4 + 1/280*b**6 + 0*b + 3/140*b**5 - 6/7*b**3. Factor t(a).
3*(a - 2)*(a + 2)*(a + 3)/7
Let z(l) be the second derivative of l**8/16800 - l**7/420 - 11*l**6/600 - 17*l**5/300 + 127*l**4/12 - l. Let t(r) be the third derivative of z(r). Factor t(g).
2*(g - 17)*(g + 1)**2/5
Let o be -3*(((-112)/16)/1449)/((-1)/(-6)). Solve -o*p**2 + 20/23*p - 32/23 = 0 for p.
2, 8
Let b be 3985/3 + 8/(-180)*-15. Let g = -1311 + b. Factor -33/4*q**3 - 3/2 - 45/4*q - g*q**2.
-3*(q + 1)**2*(11*q + 2)/4
Suppose 20*p - 2535171 = -2535111. Determine f, given that -16/3 + 16/3*f**p + 2*f**4 - 2/3*f**2 - 28/3*f = 0.
-2, -1, 4/3
Let m(p) be the second derivative of 37*p**4/24 + 73*p**3/12 - p**2/2 - 2475*p. Find w such that m(w) = 0.
-2, 1/37
Let j(t) be the first derivative of 1/120*t**6 + 1/5*t**5 + 2 + 0*t**2 + 2*t**4 + 14/3*t**3 + 0*t. Let c(w) be the third derivative of j(w). Factor c(o).
3*(o + 4)**2
Let i(z) be the first derivative of -212 + z**3 + 0*z**2 - 9/4*z**4 + 2*z**6 + 0*z + 0*z**5. Factor i(j).
3*j**2*(j + 1)*(2*j - 1)**2
Let b(d) be the third derivative of -d**6/24 + d**5/4 + 15*d**4/2 - 90*d**3 + 16*d**2 - 1. Factor b(p).
-5*(p - 6)*(p - 3)*(p + 6)
Let t(d) be the third derivative of -d**8/1680 + d**7/315 - d**6/180 + 7*d**4/4 + 4*d**2 + d. Let s(z) be the second derivative of t(z). Factor s(a).
-4*a*(a - 1)**2
Let a(n) be the third derivative of -n**7/420 + n**6/30 + n**5/40 - 21*n**4/8 + 18*n**3 + 3281*n**2. Find v such that a(v) = 0.
-4, 3, 6
Let f(v) be the first derivative of 1/2*v**4 - 12*v + 4/3*v**3 - 5*v**2 + 61. Factor f(g).
2*(g - 2)*(g + 1)*(g + 3)
Suppose -3*w + 17 + 7 = 0. Let k be (w/(-16))/(2/(-4)). Factor -43*r**2 - 3*r**3 - k + 1 + 46*r**2 + 6*r.
-3*r*(r - 2)*(r + 1)
Let f = 287052 + -287032. Factor -51/2*u + f*u**2 - 7/2*u**3 - 9.
-(u - 3)**2*(7*u + 2)/2
Let f(a) be the third derivative of a**7/105 - 7*a**6/10 - 43*a**5/30 + 474*a**2 + 2. Factor f(q).
2*q**2*(q - 43)*(q + 1)
Let k = 14385 + -100693/7. Suppose -1458/7 - 54/7*s**2 - 486/7*s - k*s**3 = 0. Calculate s.
-9
Let i = 7 - 3. Suppose -2*a + 4*a - i = 0. Suppose j**5 - a*j**3 + 2*j**4 - j**4 + 4*j**2 + j - 2 - 3*j**4 = 0. Calculate j.
-1, 1, 2
Find c, given that -29/3*c - 1/3*c**2 - 18 = 0.
-27, -2
Let y = -4185322/11 + 380484. Factor -2/11*c**3 + 20/11*c - 16/11 - y*c**2.
-2*(c - 2)*(c - 1)*(c + 4)/11
Let u(c) be the second derivative of c**6/30 - c**4/6 - 41*c**2/2 - c + 2. Let j(k) be the first derivative of u(k). Determine a so that j(a) = 0.
-1, 0, 1
Let f(i) be the first derivative of 2/55*i**5 + 0*i + 0*i**2 + 6 + 8/11*i**4 - 34/33*i**3. Solve f(c) = 0.
-17, 0, 1
Let d = 365247/69572 + 3/34786. Solve 1/4*b**2 + 5 + d*b = 0.
-20, -1
Let t be (36/(-120))/(2 - (-4236)/15). Let x = t - -211/316. Let 2/9*p**3 + 0 + 4/9*p + x*p**2 = 0. What is p?
-2, -1, 0
Let y be (1008/(-7))/(-6) - 4. Let s(d) = -d**3 + 17*d**2 + 59*d + 22. Let b be s(y). Factor -1/2 + 1/2*i**b + 0*i.
(i - 1)*(i + 1)/2
Let p = -1236743 - -1236743. Let p + 8/3*g - 8/3*g**2 + 4/3*g**4 + 2/3*g**5 - 2*g**3 = 0. What is g?
-2, 0, 1
Suppose 34*q - 60 = -29 - 31. Let c(i) be the second derivative of -3/40*i**5 - 19*i - 1/4*i**4 + 0*i**2 - 1/4*i**3 + q. Find m, given that c(m) = 0.
-1, 0
Let l(i) be the first derivative of 91 + 15*i**4 - 10*i + 115/3*i**3 - 15/2*i**2. Suppose l(k) = 0. Calculate k.
-2, -1/4, 1/3
Let x be (35/5 + -61)*3/(-40). Let m(b) be the second derivative of 24/5*b**2 + 0 + 9*b + 36/5*b**3 + x*b**4. Find k, given that m(k) = 0.
-4/9
Let f = -112 - -45. Let y = -61 - f. Suppose 3*t**2 - 12 - 39*t + 51*t - y*t**2 = 0. What is t?
2
Let f(d) be the second derivative of -37*d - 1/18*d**4 + 0 - 1/3*d**3 + 10/3*d**2. Factor f(y).
-2*(y - 2)*(y + 5)/3
Factor -330 - 48 - 182*m**2 + 123*m**3 + 41*m**2 + 3*m**4 - 164*m - 475*m.
3*(m - 3)*(m + 1)**2*(m + 42)
Let q(i) be the first derivative of i**9/31752 + i**8/17640 - i**7/4410 + 24*i**3 + 71. Let w(b) be the third derivative of q(b). Factor w(z).
2*z**3*(z - 1)*(z + 2)/21
Let h(m) be the second derivative of 0*m**2 - 1/105*m**6 + 25/42*m**4 - 3/35*m**5 - 6/7*m**3 + 36 + m. Factor h(u).
-2*u*(u - 2)*(u - 1)*(u + 9)/7
Let v(i) be the third derivative of -i**4/24 - 3*i**3/2 + 9*i**2. Let s be v(-11). What is h in -s - 5 + 15*h + 10*h**2 - 15*h**3 + 0 - 3 = 0?
-1, 2/3, 1
Let j(v) be the second derivative of v**5/40 + v**4/6 - 7*v**3/12 - 5*v**2/2 + 2*v + 2901. Factor j(h).
(h - 2)*(h + 1)*(h + 5)/2
Suppose 1 - 5 = -2*g. Let y = 296 + -265. Factor -32*t - y*t + 51*t - 2*t**2 + 4*t**g.
2*t*(t - 6)
Let y(i) be the third derivative of -i**9/5292 - i**8/980 - i**7/490 - i**6/630 + 5*i**3/3 + 10*i**2. Let r(c) be the first derivative of y(c). Factor r(l).
-4*l**2*(l + 1)**3/7
Let l be ((1/(-2)*-4)/(-4 - 8))/(-3). Let p(m) be the third derivative of 0*m + l*m**3 - 1/360*m**6 + 1/72*m**4 + 5*m**2 + 0 - 1/180*m**5. Factor p(r).
-(r - 1)*(r + 1)**2/3
Suppose 3*c - 14 = a, -3*a = -c - 11 + 29. Let w(g) be the first derivative of 0*g + 1/4*g**2 - 1/8*g**4 + 0*g**c + 9. Determine q so that w(q) = 0.
-1, 0, 1
Let y(s) be the third derivative of -4/45*s**5 - 1/315*s**7 - 7/180*s**6 + 0*s**3 + 0*s + 15*s**2 + 4/9*s**4 + 0. Solve y(v) = 0 for v.
-4, 0, 1
Let i(d) be the third derivative of d**7/210 + d**6/12 + 23*d**5/60 + 7*d**4/12 + 10483*d**2. Solve i(t) = 0.
-7, -2, -1, 0
Let u be 1 + 5/((-45)/(-72)). Determine a, given that -6 + u - 10*a**4 - 55*a + 28*a**2 - 73 + 20 + a**5 + 22*a**3 = 0.
-1, 2, 5
Let m be (-15)/(-9 - 6)*4. Let b(i) be the second derivative of 9/8*i**2 - 1/24*i**m + 0 + 1/120*i**6 + 1/2*i**3 - 1/20*i**5 + 3*i. Factor b(t).
(t - 3)**2*(t + 1)**2/4
Let u = -54 - 81. Let x be (-81)/u - (-66)/190. Solve -24/19*t**2 + 8/19*t + 0 + x*t**3 = 0 for t.
0, 2/3
Let t(y) = y + 22. Let r be t(13). Let u(v) = 60*v**2 - 780*v - 910. Let q(l) = 5*l**2 - 65*l - 76. Let w(m) = r*q(m) - 3*u(m). Determine z so that w(z) = 0.
-1, 14
Let p(c) = 2*c**4 + c**2 + 2*c - 2. Let k(z) = -12*z**4 - 56*z**3 + 72*z**2 + 208*z - 368. Let l(b) = -k(b