+ 5*c = -35, 0 = 6*y - 10*y + 5*c + 45. Let a(k) be the third derivative of 1/3*k**4 - 4/3*k**3 - 3*k**2 - 1/30*k**y + 0*k + 0. Factor a(l).
-2*(l - 2)**2
Let k be (-1)/(-3)*(-1545)/(-9). Let p = k - 57. Factor -p*h**2 - 8/9 - 8/9*h.
-2*(h + 2)**2/9
Let z be 6/45*9*(-9 - -11). Factor -8/5*d**2 + 4/5*d**3 + 0 - z*d.
4*d*(d - 3)*(d + 1)/5
Let y be 30/(-5) + 11/((-1155)/(-650)). Let n(f) be the second derivative of 4*f + y*f**4 - 4/21*f**3 + 0 + 1/14*f**2. Solve n(i) = 0 for i.
1/4
Let -12/5*q**5 + 3*q - 9/5 + 16*q**4 - 31*q**3 + 13*q**2 = 0. Calculate q.
-1/3, 1/2, 3
Suppose 16 = v - 4*d, 5*v - 14 = 2*d + 66. Let r(b) be the first derivative of -28/5*b**5 - 2/3*b**6 - 32/3*b**3 - v*b**4 + 32*b**2 - 7 + 64*b. Factor r(w).
-4*(w - 1)*(w + 2)**4
Let f(r) = 5*r**2 + 273*r - 1295. Let z be f(-59). Suppose -3/5*c**2 + 0 + 2/5*c + 1/5*c**z = 0. Calculate c.
0, 1, 2
Factor 32*b + 2*b**3 - 9*b**2 + 14*b**2 - 41*b**2 + 2*b**3.
4*b*(b - 8)*(b - 1)
Let o(b) be the second derivative of -1/3*b**3 + 3/7*b**2 - 1/70*b**5 + 5/42*b**4 + 16*b + 0. Factor o(d).
-2*(d - 3)*(d - 1)**2/7
Factor -12*c**3 - 19*c**3 - 3*c**4 - 18*c**3 + 43*c**3.
-3*c**3*(c + 2)
Let y(c) be the third derivative of c**5/30 + 125*c**4/12 - 42*c**3 - 101*c**2. Factor y(d).
2*(d - 1)*(d + 126)
Let z(s) = s**4 + 12*s**3 - 7*s**2 + 3*s. Let f(a) = 25*a**3 - 15*a**2 + 5*a. Let d(y) = 3*f(y) - 5*z(y). Factor d(o).
-5*o**2*(o - 2)*(o - 1)
Let n(g) be the third derivative of 1/840*g**6 + g**2 - 1/280*g**5 - 2/3*g**3 + 0 + 0*g**4 + 0*g. Let w(b) be the first derivative of n(b). Factor w(y).
3*y*(y - 1)/7
Let j(b) be the third derivative of -b**5/40 - 169*b**4/48 - 14*b**3/3 - 10*b**2 - b. Find f such that j(f) = 0.
-56, -1/3
Suppose -2*p = 2*x - 12, -6 = x - 3*x. Let 239*o**3 + 4*o**4 + 27*o + 48*o**2 - 215*o**p + 5*o = 0. What is o?
-2, 0
Let f = 4249/155 - 825/31. Let b = 3411/5 + -679. Solve -b*j**2 - j**3 + 5*j**4 - f*j + 0 = 0 for j.
-2/5, 0, 1
Let k(p) = -p**2 + 81*p + 170. Let w(i) = 165*i + 340. Let x(g) = -5*k(g) + 2*w(g). Factor x(t).
5*(t - 17)*(t + 2)
Let s(j) = -j**4 + 12*j**3 - 45*j**2 + 38*j + 6. Let t(z) = 2*z - 1. Let w(x) = -s(x) - 6*t(x). Determine u, given that w(u) = 0.
0, 2, 5
Suppose 4*c = 3*d + 4, -c - 9 - 3 = -4*d. Find m such that -2*m + 4*m**2 + 4*m - c*m - 1 - 5*m**2 = 0.
-1
Let d(f) be the third derivative of -f**6/320 - 7*f**5/160 - 7*f**4/64 + 15*f**3/16 + 48*f**2. Factor d(m).
-3*(m - 1)*(m + 3)*(m + 5)/8
Factor -16*r**3 + 7*r**3 - 11*r**2 - r**4 + 3*r**2.
-r**2*(r + 1)*(r + 8)
Factor 1/4*r**2 - 4*r + 16.
(r - 8)**2/4
Let p(j) be the third derivative of j**8/224 + j**7/20 - 19*j**6/40 + 31*j**5/20 - 43*j**4/16 + 11*j**3/4 + 174*j**2. Factor p(d).
3*(d - 1)**4*(d + 11)/2
Factor 256 - 27*l**3 + 160*l + 10*l**2 - 58*l**2 + 2*l**3 - 15*l**3 - 4*l**4.
-4*(l - 2)*(l + 2)**2*(l + 8)
Let f = -835 - -839. Let k(y) be the third derivative of -1/360*y**5 + 5/144*y**f + 0*y + 8*y**2 - 1/18*y**3 + 0 - 1/360*y**6. Find m such that k(m) = 0.
-2, 1/2, 1
Let z = 421 - 421. Let y(f) be the third derivative of -1/300*f**5 + z + 1/20*f**4 - 3/10*f**3 + 0*f - 2*f**2. Factor y(d).
-(d - 3)**2/5
Let c(l) be the first derivative of 1/2*l**3 - 27/4*l**2 - 45 + 0*l. Factor c(u).
3*u*(u - 9)/2
Let 1/6*z**5 - 1 + 2/3*z**4 - 17/6*z - 7/3*z**2 + 0*z**3 = 0. Calculate z.
-3, -1, 2
Let v = 52 + -42. Suppose -v*j = -j. Factor 0 + j*w + 2/5*w**5 + 0*w**4 + 0*w**2 - 2/5*w**3.
2*w**3*(w - 1)*(w + 1)/5
Factor 12*a - 279*a**2 + 80*a**3 - 92*a - 4*a**4 + 283*a**2.
-4*a*(a - 20)*(a - 1)*(a + 1)
Let q(s) be the second derivative of 2*s**7/21 - 4*s**6/15 + 2*s**4/3 - 2*s**3/3 - 41*s + 2. Factor q(f).
4*f*(f - 1)**3*(f + 1)
Suppose 35*r = 18*r. Factor -6/7*u**2 + r - 4/7*u + 0*u**3 + 2/7*u**4.
2*u*(u - 2)*(u + 1)**2/7
Let h(k) = -3*k**2 - 7*k. Let n(d) = 3*d**2 + 6*d. Let b be (-7)/(7/(-3)) - 5. Let a(x) = b*n(x) - 3*h(x). Suppose a(m) = 0. What is m?
-3, 0
Let d(h) be the first derivative of -14*h**6/9 + 8*h**5/15 + 35*h**4/3 - 40*h**3/9 - 56*h**2/3 + 32*h/3 - 54. Solve d(i) = 0.
-2, -1, 2/7, 1, 2
Let u = -809/3 - -270. Let l(c) be the second derivative of 7*c + u*c**3 - 1/8*c**4 + c**2 + 0. Factor l(p).
-(p - 2)*(3*p + 2)/2
Let y = 44 + -24. Suppose 2*l = -4*n, 3*n + 4*l = 5*n - y. Suppose 6*j**2 - 2*j - 2*j**2 + n*j + 4*j**3 = 0. What is j?
-1, 0
Suppose 160*f - 86 = 234. Suppose 0*p - 2*p = 0. Factor 2/7*c**3 - 2/7*c**f + p*c + 0.
2*c**2*(c - 1)/7
Suppose 6 - 24 = -9*l. Factor -1 - 16*f + 6*f**2 + 3 + 0*f**l + 8*f**2.
2*(f - 1)*(7*f - 1)
Let 1/4*k**2 + 4 - 17/4*k = 0. What is k?
1, 16
Suppose -16*o + 947 = 915. Determine j so that 1/2*j**o + 2*j + 2 = 0.
-2
Find p such that -60/11*p**2 + 0 - 112/11*p - 2/11*p**3 = 0.
-28, -2, 0
Let a be 5 - 305/315 - 4. Let j = 44/63 - a. Factor 2/3*f**2 - j*f + 0.
2*f*(f - 1)/3
Let q(t) = 6*t**2 + 0*t - 5 + t**3 + 3*t - 2*t. Let f be q(-5). Factor -3*g**2 + 3*g**3 + 4*g + 8*g + 3 - f*g.
3*(g - 1)**2*(g + 1)
Suppose 4*b - 78 = 6*z - 4*z, -18 = -b + z. Determine o so that -15/4*o**2 - b*o + 9 = 0.
-6, 2/5
Let a be ((-6)/(-7))/(1 - 152/154). Let z be 45/a + 1/(-2). Factor -z*c**2 + 0 - 4/11*c.
-2*c*(c + 2)/11
Determine m so that -50/7*m + 2/7*m**3 + 2/7*m**4 - 24/7 - 26/7*m**2 = 0.
-3, -1, 4
Let z(k) be the third derivative of -k**8/5040 - k**7/1890 + k**6/270 - 5*k**4/12 + 4*k**2. Let b(n) be the second derivative of z(n). Factor b(d).
-4*d*(d - 1)*(d + 2)/3
Let q(r) = -4*r**3 - r**2 - 19. Let m(s) = s**3 + 1. Let h(n) = -5*m(n) - q(n). Let b(y) be the first derivative of h(y). Factor b(i).
-i*(3*i - 2)
Let v(o) = 11*o**5 - 36*o**4 + 31*o**3 - 2*o**2. Let y(j) = 54*j**5 - 180*j**4 + 156*j**3 - 9*j**2. Let q(p) = 21*v(p) - 4*y(p). Factor q(f).
3*f**2*(f - 1)**2*(5*f - 2)
Let o(t) = -9*t - 8*t + 7 + 19*t. Let d be o(4). Factor -15*v**4 + d*v**3 - 39*v**3 + 5*v**2 + 7*v**2.
-3*v**2*(v + 2)*(5*v - 2)
Let n(j) be the third derivative of -j**7/105 + 4*j**6 - 119*j**5/15 - 20*j**4 + 239*j**3/3 - 58*j**2 + 10*j. Find v such that n(v) = 0.
-1, 1, 239
Let r(f) be the third derivative of f**7/210 + 11*f**6/120 + 7*f**5/60 - 49*f**4/8 + 19*f**2 - 2. Let r(m) = 0. Calculate m.
-7, 0, 3
Determine p so that 2*p + 11*p + p**2 - 4 - 31 + 5 = 0.
-15, 2
Let g(h) be the second derivative of -h**7/280 - h**6/120 + h**5/8 - 3*h**4/8 + 17*h**3/6 - 10*h. Let t(m) be the second derivative of g(m). Factor t(r).
-3*(r - 1)**2*(r + 3)
Suppose 0 = 3*j + 16 - 25. Suppose 2*d = -j*r + 16, 8*d = -3*r + 4*d + 26. Factor -1/8*u - 1/4 + 1/8*u**r.
(u - 2)*(u + 1)/8
Let g(y) be the second derivative of y**10/6048 + y**9/756 + y**8/336 - 3*y**4/4 - 21*y. Let h(x) be the third derivative of g(x). Solve h(w) = 0.
-2, 0
Let l be ((-65)/(-50) - 3) + (-20)/(-8). Factor -14*u**4 + 0 - 28/5*u**2 - l*u - 69/5*u**3 - 5*u**5.
-u*(u + 1)**2*(5*u + 2)**2/5
Let l(n) be the first derivative of 1/3*n**4 - 8/3*n**2 - 2 + 32/3*n - 8/9*n**3. Factor l(t).
4*(t - 2)**2*(t + 2)/3
Let q(a) be the third derivative of a**6/40 + a**5/20 - 14*a**2 - 1. Factor q(u).
3*u**2*(u + 1)
Let w(s) be the second derivative of -24*s + 1/3*s**3 + 1/21*s**4 - 2/7*s**2 + 0 - 1/10*s**5. Factor w(c).
-2*(c - 1)*(c + 1)*(7*c - 2)/7
Let k(u) be the first derivative of -u**6/40 + u**5/4 - u**4 + 2*u**3 - 15*u**2/2 + 10. Let d(s) be the second derivative of k(s). What is i in d(i) = 0?
1, 2
Let f(p) be the third derivative of p**8/336 - p**7/35 + p**6/20 + p**5/3 - 13*p**4/8 + 3*p**3 + 143*p**2. What is m in f(m) = 0?
-2, 1, 3
Let v be (-4 + 3)*(2 + -13). Let w be 1/2*(v + -5). Solve -2*h**2 - 9*h + 4*h**3 - 4*h**2 + w*h**2 - 2 = 0.
-1, -1/4, 2
Let x be (-4 + 2 + 2/2)*1. Let i(y) = y**3 + y**2. Let o(a) = -2*a**3 - 6*a**2 + 2*a. Let k(v) = x*o(v) - 3*i(v). Find f, given that k(f) = 0.
0, 1, 2
Let n(w) be the first derivative of -w**4/8 - 5*w**3/12 + w**2/2 + 3*w/4 + 94. Factor n(v).
-(v - 1)*(v + 3)*(2*v + 1)/4
Let j(g) be the third derivative of g**8/336 + 2*g**7/105 - g**5/6 - g**4/24 + g**3 - g**2 - 54. Find a such that j(a) = 0.
-3, -2, -1, 1
Let v(f) be the first derivative of -f**5 - 5*f**4/2 + 20*f**3/3 + 20*f**2 - 76. Find z such that v(z) = 0.
-2, 0, 2
Let v be (-8)/(-36) - (-92)/207. Solve v*l**2 - 8/3 + 2*l = 0.
-4, 1
Let o = -4785 + 4790. Let 4/3*j**2 + 8/3*j**o - 1/6*j - 4/3*j**4 + 0 - 5/2*j**3 = 0. What is j?
-1, 0, 1/4, 1
Suppose 0 = 3*