+ 1/21*d**3. Suppose i(m) = 0. Calculate m.
-2, -1, 1
Let p(l) be the second derivative of -3*l - 7/10*l**6 - 2*l**3 - 5*l**4 + 1 - 69/20*l**5 + 0*l**2. Factor p(y).
-3*y*(y + 1)*(y + 2)*(7*y + 2)
Suppose 0 = -3*h - 9, -4*b = b - 4*h - 117. Factor -48*l - 3*l**5 + 75*l**2 - 21*l**3 - 29*l**3 - 7*l**3 + 12 + b*l**4.
-3*(l - 2)**2*(l - 1)**3
Let u be -394*(-2)/36*(-15)/(-265). Let b = 5/53 + u. Factor -b*l**2 - 10/3 - 22/3*l.
-2*(l + 5)*(2*l + 1)/3
Let l(s) be the second derivative of 0*s**3 + 10*s - 1/2*s**2 + 1/15*s**5 + 0 - 1/3*s**4. Let g(p) be the first derivative of l(p). Factor g(z).
4*z*(z - 2)
Let m(k) = -7*k**3 + 13*k**2 - k - 5. Let a = 52 - 50. Let i(l) = -6*l**2 - l**a + l + l**3 - 1 + 6*l**2. Let o(n) = -2*i(n) + m(n). Factor o(d).
-3*(d - 1)**2*(3*d + 1)
Let r(k) be the first derivative of 0*k**2 + 0*k - 146 - 32/7*k**4 + 4/35*k**5 + 1024/21*k**3. Factor r(y).
4*y**2*(y - 16)**2/7
Suppose -u = 3*r - 3, u + 3*r = 2*u - 3. Factor 2627*x + 183*x**2 + 290*x + 2352 + 3*x**4 + 1619*x - 162*x**u + 1836*x**2.
3*(x - 28)**2*(x + 1)**2
Let x(j) be the third derivative of j**4/8 - 5*j**3/3 - 28*j**2. Let l be x(4). Find t, given that 32*t + 64 + l*t**2 + 64 + 0*t**2 = 0.
-8
Let w = 32 - 34. Let h be (-1 + (-3)/w)*(-9 + 21). Factor -5*z**4 + 15*z**3 + h*z**3 + 4*z**3 - 15*z**2 - 5*z**5.
-5*z**2*(z - 1)**2*(z + 3)
Let c(p) be the first derivative of -p**5 - 285*p**4/2 + 580*p**3 - 875*p**2 + 585*p - 8472. Let c(r) = 0. Calculate r.
-117, 1
Let s be (5/35)/(24 - -56). Let t(l) be the third derivative of 0*l**3 + 0 + 0*l - 1/80*l**6 + 0*l**4 + s*l**7 - 23*l**2 + 0*l**5. Factor t(f).
3*f**3*(f - 4)/8
Let q be 14/(((-16240)/20)/(-29)). Determine a so that -q*a - 1/6*a**2 - 1/3 = 0.
-2, -1
Let n = -42668 - -298820/7. Factor n*y + 1296/7 + 4/7*y**2.
4*(y + 18)**2/7
Let t = 51 + 542. Let i = t - 589. Solve -20/7*k**3 + 12/7*k**5 + 16/7*k - 32/7*k**i - 32/7 + 72/7*k**2 = 0.
-1, 2/3, 2
Let x(g) = g + 7. Let l(u) = 4*u + 27. Let v(a) = 2*l(a) - 9*x(a). Let m be v(-11). Find n, given that -12*n + 2*n**4 - 4*n**2 + 10*n + 2*n**4 + m*n**5 = 0.
-1, 0, 1
Suppose 23*y + 32*y = 6*y + 6*y. Let d(i) be the second derivative of 10/3*i**3 - 1/4*i**5 + 35*i + y*i**2 + 0 + 0*i**4. Factor d(f).
-5*f*(f - 2)*(f + 2)
Let r(f) be the third derivative of 0*f**3 - 2*f - 120*f**2 + 1/10*f**5 + 1/12*f**6 + 0*f**4 - 2/105*f**7 + 0. What is w in r(w) = 0?
-1/2, 0, 3
Factor 35/9*v**2 + 14 - 1/9*v**3 + 43/3*v - 1/9*v**4.
-(v - 7)*(v + 2)*(v + 3)**2/9
Let n be (-3)/(-1) + (-1)/4*(-99 + 100 + 3). Determine b so that -3/8 + 3/8*b**n - 1/8*b + 1/8*b**3 = 0.
-3, -1, 1
Let u = -2637345/7 + 376764. Determine a so that 6/7*a**2 + 0*a + u*a**3 + 0 = 0.
-2, 0
Let s(m) be the second derivative of -m**4/28 - 43*m**3/14 + 135*m**2/7 - 2*m + 943. Determine f, given that s(f) = 0.
-45, 2
Let j(r) be the third derivative of 0*r - 1/1260*r**6 + 0*r**3 + 1/2205*r**7 - 1/630*r**5 - 18*r**2 + 1/252*r**4 + 0. Find y such that j(y) = 0.
-1, 0, 1
Let m(i) be the third derivative of 3*i**4/8 - 35*i**3/3 + 164*i**2. Let b be m(8). Factor -2/13*k + 4/13 - 2/13*k**b.
-2*(k - 1)*(k + 2)/13
Let p = 290 + -285. Factor 2*g**5 + 946*g**3 - 956*g**3 - 7*g**p - 15*g**4.
-5*g**3*(g + 1)*(g + 2)
Solve 4*n + n + n**5 - 5*n - 76*n**4 + 392*n**2 - 466*n**2 + 149*n**3 = 0 for n.
0, 1, 74
Find q such that -1156*q + 3785*q + 0*q**2 + 4*q**2 - 1441*q = 0.
-297, 0
Suppose -3*r - 5*j - 4 = -33, -45 = -3*r + 3*j. Let b be 5 + (-9 - -3)/(16/r). Factor 1/4 + b*c**3 - 3/8*c + 0*c**2.
(c - 1)**2*(c + 2)/8
Suppose -3*p = -2*z, 0 = -3*p - 154*z + 149*z + 21. Suppose -6*d + 51*d**5 - 644*d**2 + 648*d**2 - 6*d**4 + 4*d**3 + p - 49*d**5 = 0. Calculate d.
-1, 1
Let j(c) = 18*c**4 + 64*c**3 - 136*c**2 - 56*c + 54. Let n(z) = -z**4 - 2*z**2 - 9. Let m(s) = j(s) + 6*n(s). Let m(l) = 0. Calculate l.
-7, -1/3, 0, 2
Let k(u) be the second derivative of 8/35*u**5 + 0 + 2/105*u**6 + 2/7*u**4 + 50/7*u**2 - 80/21*u**3 + 71*u. Solve k(q) = 0 for q.
-5, 1
Let m = -149164 + 149167. Let k = -8/11 + 43/44. Find x such that 1/8*x**m - 3/8*x + k + 0*x**2 = 0.
-2, 1
Find b such that 29/2*b**3 + 39/4*b + 0 + 22*b**2 + 2*b**4 - 1/4*b**5 = 0.
-3, -1, 0, 13
Let z(a) be the third derivative of -a**6/24 + 23*a**5/60 - 5*a**4/12 - 4*a**3/3 - 1173*a**2 - 2. What is h in z(h) = 0?
-2/5, 1, 4
Let y be (-2)/(-6) - (-310)/186. Let u be (99/(-11))/(y + -7). Suppose -1/5*f**2 + 6/5*f - u = 0. What is f?
3
Suppose -5*m = o - 12, 0*m + m = -4*o + 10. Suppose -3*j**2 - 5*j**o + j**3 + 5*j**2 + 6*j**2 + 2*j = 0. Calculate j.
-2, -1, 0
Find x, given that -16387*x + x**3 + 32753*x - 16382*x + 18*x**2 - 3*x**3 = 0.
0, 1, 8
Let j(p) be the first derivative of 14*p**3/3 + 18*p**2 + 16*p - 1436. Factor j(y).
2*(y + 2)*(7*y + 4)
Let z(x) = -4*x**2 - 142*x + 152. Let n(l) = 17*l**2 + 565*l - 609. Let c(o) = -4*n(o) - 18*z(o). Factor c(d).
4*(d - 1)*(d + 75)
Suppose 0 = 2*i - 2, 2*i = 2*p - 209 + 61. Let q be (12/(-10))/((63/p)/(-3)). Find w such that -2/7*w**4 - q*w**2 + 2*w**3 + 26/7*w - 8/7 = 0.
1, 4
Let o(p) be the first derivative of 0*p + 18 - 5/4*p**4 + 0*p**2 - 50/3*p**3. Factor o(u).
-5*u**2*(u + 10)
Let j(a) = -3*a - 33. Let z(t) = -2*t - 17. Let w(d) = 5*j(d) - 9*z(d). Let c be w(5). Factor -5*g**2 - c*g**2 - 2*g**3 + 2*g**2 + 0*g**3.
-2*g**2*(g + 3)
Let q(r) = -r**3 - 35*r**2 + 76*r + 55. Let j be q(-37). Let a be (-3)/((-15)/j) + 50/10. Solve a - 6/5*w**2 + 9/5*w = 0.
-1/2, 2
Factor 912/13*h**2 - 103968/13*h + 0 - 2/13*h**3.
-2*h*(h - 228)**2/13
Let t be (6/8)/(14/64). Let j = -8/20461 - -93544/20461. Find n such that 4/7*n**5 + 8/7*n**2 + t*n**4 - 48/7*n - j + 44/7*n**3 = 0.
-2, -1, 1
Let y be (48/(-27))/(162/(-729)). Let b(p) be the first derivative of 14 + y*p**2 - 4/3*p**3 - 16*p. Factor b(j).
-4*(j - 2)**2
Factor 2/7*o**2 - 8/7*o - 90/7.
2*(o - 9)*(o + 5)/7
Factor 5354 - 2499*x**3 + 57826 + 1578*x**3 + 5*x**4 + 1301*x**3 + 9015*x**2 + 71820*x.
5*(x + 1)*(x + 18)**2*(x + 39)
Let r = 409093/45 + -81716/9. What is k in 0 - 2/5*k + r*k**3 - 11*k**2 = 0?
-2/57, 0, 1
Let m(x) = -x**3 + 7*x**2 + 1930*x - 13507. Let y be m(7). Let -3/8*j**5 - 3/2*j**2 - y*j**3 - 15/8*j**4 + 0 + 0*j = 0. Calculate j.
-2, -1, 0
Let x be 365/(-292)*36/(-15). Let w(i) be the second derivative of 35/3*i**x - 12*i + 5/12*i**4 + 245/2*i**2 + 0. Factor w(q).
5*(q + 7)**2
Let j(m) be the second derivative of -m**4/84 + 25*m**3/21 + 51*m**2/14 - 57*m - 1. Find a, given that j(a) = 0.
-1, 51
Let n(g) be the second derivative of g**7/42 - 7*g**6/10 + 4*g**5/5 + 7*g**4 - 40*g**3/3 - 313*g - 2. Let n(c) = 0. What is c?
-2, 0, 1, 2, 20
Let j be ((-17)/204*-68)/((-2)/(-8)). Let x(m) be the first derivative of 24 - 4*m**2 - 16*m + j*m**3 - 15/2*m**4. What is z in x(z) = 0?
-2/5, 2/3, 2
Let c(g) = -g**4 + g**3 + 1. Let n(y) = y**4 - 8*y**3 - 4*y**2 + 6*y + 3. Suppose -6*v - 49 = -13. Let h(o) = v*c(o) - 3*n(o). Factor h(w).
3*(w - 1)*(w + 1)**2*(w + 5)
Suppose -902 = -4*o - 890. Factor -5*p - 3376*p**3 - o + 9 + 3381*p**3 - 6*p**2.
(p - 1)*(p + 1)*(5*p - 6)
Let n be 5 + -3 + -1 + 3 + -535. Let x = -528 - n. Determine w, given that 20/11*w**4 + 6/11*w**5 + 8/11*w**x + 0*w - 16/11*w**2 + 0 = 0.
-2, 0, 2/3
Let u(s) be the second derivative of -s**6/105 + 6*s**5/35 + 2*s**4/21 - 16*s**3/7 + 8091*s. Find h, given that u(h) = 0.
-2, 0, 2, 12
Let g(n) be the first derivative of n**6/48 - 3*n**4/32 - n**3/12 - 6403. Determine a so that g(a) = 0.
-1, 0, 2
Find s such that -1611618*s - 3511808000 - 2901672*s - 2417910*s - 4560*s**2 - s**3 = 0.
-1520
Let c be (54 + 29716/(-544))/((-2)/4). Factor -3/2*f**3 - f**2 + c*f**4 + 0 + 2*f - 1/4*f**5.
-f*(f - 2)**3*(f + 1)/4
What is p in -30*p**2 - 33/2*p**3 - 3*p**4 + 0 - 18*p = 0?
-2, -3/2, 0
Suppose 3*i - 6 = -0, -t - 3*i + 18 = 0. Solve -194*m**3 + 387*m**3 + t*m**2 - 190*m**3 + 3*m - 18 = 0.
-3, -2, 1
Let w be -10 - (65 - 50)*15*7/(-126). Solve 6*t**3 + 0 + w*t**4 + 1/4*t**5 + 11/2*t**2 + 7/4*t = 0 for t.
-7, -1, 0
Let n(r) be the first derivative of -r**6/24 + 23*r**5/20 - 69*r**4/8 + 143*r**3/6 - 245*r**2/8 + 75*r/4 - 3519. Factor n(i).
-(i - 15)*(i - 5)*(i - 1)**3/4
Suppose -189*p - 118*p + 906 = -5*p. Let x(u) be the first derivative of -24 + 5/6*u**p + 1/4*u**4 - 1/2*u**5 + 0*u - 1/2*u**2. Factor x(l).
-l*(l - 1)*(l + 1)*(5*l - 2)/2
Suppose 147*a + 40 = 14