+ d**z - 2*d**3 - 4*d + 6*d**3 = 0. What is d?
-1, 1
Let t(s) be the third derivative of -s**5/30 + 169*s**4/6 - 28561*s**3/3 + 2*s**2 - 1146. Factor t(r).
-2*(r - 169)**2
Let m(r) be the third derivative of -7*r**8/192 - r**7/20 - 3*r**6/100 + 34*r**5/15 + 8*r**2 + 2. Let a(v) be the third derivative of m(v). Factor a(l).
-3*(35*l + 6)**2/5
Let h(z) = 765 + 523*z - 185*z - 231*z. Let b be h(-7). What is k in -60/7*k**3 + 240/7*k - 440/7*k**2 - 32/7 + b*k**4 = 0?
-2, 1/4, 2/7, 2
Suppose 88*h = 89*h - 1288. Let m = h - 6436/5. What is n in 0 + n**2 + m*n**3 + 1/5*n**4 + 2/5*n = 0?
-2, -1, 0
Suppose a - 5 = -2. Suppose 0*p - 3*p + 350 = 5*c, 0 = -4*c - a*p + 283. Find o such that -c*o + 9*o**3 - 4*o**3 + 20*o**2 + 10 + 92*o = 0.
-2, -1
Suppose 5 + 2 = 5*s - 3*o, 4 = 4*o. Solve 69*c - s*c + 4*c**2 + 3*c**3 - 12*c - 7*c**3 + 25*c = 0.
-4, 0, 5
Let p = 66 - 60. Factor -27*q**2 + 6*q - q - 28*q**2 + 56*q**2 + p.
(q + 2)*(q + 3)
Suppose 52*s**4 + 5*s**3 - 55*s**4 - 156*s - 207*s**2 - 59*s**3 = 0. Calculate s.
-13, -4, -1, 0
Determine w so that w**5 + 51*w**3 - 123*w**2 - 90*w**3 + 36*w + 108 + 3*w**5 + 15*w**4 - w**5 = 0.
-6, -2, -1, 1, 3
Suppose -133*z + 130*z = -3*g + 21, -z + 25 = 3*g. Determine v so that g*v**2 + 116/3*v**3 + 0*v + 0 - 20/3*v**4 = 0.
-1/5, 0, 6
Let z be -231 + 232 - (-1 - 0). Let p(j) be the first derivative of 0*j + j**3 + 0*j**z + 0*j**5 - 1/4*j**6 + 9 + 9/8*j**4. Determine q, given that p(q) = 0.
-1, 0, 2
Let p be (-1914)/(-121) - (-4)/22. Suppose 18 = q + p. Suppose -q*i**3 + 0*i + 0 + 0*i**2 + 2/3*i**5 + 4/3*i**4 = 0. What is i?
-3, 0, 1
Let w be (-7)/(-7)*(-17 + 19). Let y(q) be the first derivative of 1/15*q**5 + 8 + 0*q + 0*q**w + 2/9*q**3 - 1/4*q**4. Factor y(s).
s**2*(s - 2)*(s - 1)/3
Let r = -213814/231 + 30724/33. Factor 2/7*g - 2/7*g**3 - r + 38/7*g**2.
-2*(g - 19)*(g - 1)*(g + 1)/7
Let j = -1108607 - -1108610. Factor 5/3*m**j + 2/3*m**2 - m + 0.
m*(m + 1)*(5*m - 3)/3
Let z(w) = -2*w**3 + w**2 - w + 2. Let c(d) = 21*d**3 - 22*d**2 + 179*d + 1850. Let q(s) = -2*c(s) - 22*z(s). Factor q(h).
2*(h - 13)*(h + 12)**2
Let i(x) be the third derivative of 1/270*x**5 + 99*x**2 + 7/27*x**3 - 2/27*x**4 + 0*x + 0. Determine j, given that i(j) = 0.
1, 7
Factor -10575504*a**2 - 2/3*a**4 + 4336*a**3 - 4660053535584 + 11463846336*a.
-2*(a - 1626)**4/3
Let i(v) = -2*v**3 + 15*v**2 + 12*v + 14. Let j be i(6). Factor 50 + 160*l**3 + 23*l + 86*l**2 + 3*l**5 + 45*l**4 + 217*l + 2*l**5 + 30 + j*l**2.
5*(l + 1)*(l + 2)**4
Let g(w) be the third derivative of 0*w**3 + 2/15*w**5 + 0*w**4 - w**2 - 4/105*w**7 + 7 + 1/84*w**8 + 0*w - 1/30*w**6. Factor g(v).
4*v**2*(v - 2)*(v - 1)*(v + 1)
Let q(d) = -2*d**2 - 3*d + 5. Let n(h) = h**2 - 8 + 8*h + 0 - 3*h + 2*h**2. Let s(m) = -5*n(m) - 7*q(m). Find z such that s(z) = 0.
-5, 1
Let b(x) = 9*x**2 - 138*x - 7. Let o = 673 - 679. Let q(d) = 8*d**2 - 136*d - 6. Let j(g) = o*b(g) + 7*q(g). Let j(t) = 0. Calculate t.
0, 62
Let o(v) = -14*v**4 + 1018*v**3 + 428*v**2 - 7*v. Let w(n) = -7*n**4 + 508*n**3 + 204*n**2 - 3*n. Let b(r) = 3*o(r) - 7*w(r). Determine i, given that b(i) = 0.
-2/7, 0, 72
Let p = 659 - 658. Let t(h) be the first derivative of 25/2*h**2 + h**5 - 25/4*h**4 + 5*h**3 - p - 20*h. Solve t(d) = 0.
-1, 1, 4
Suppose 0 = -5*v - 2*k - 2, -v - 10 = 2*k - 4*k. Let u be 10 - (23 + v) - -13. Factor -1/2*a + 1/2*a**u + 1/2*a**3 - 1/2.
(a - 1)*(a + 1)**2/2
Let z(v) be the first derivative of v**3/21 + 19*v**2/7 + 136*v/7 - 746. Factor z(r).
(r + 4)*(r + 34)/7
Let m(q) = 36*q**2 - q + 1. Let v(w) = w**2. Let i(t) = m(t) - 5*v(t). Let s be i(1). Determine z so that -2*z**2 + 26*z**4 + s*z**4 - 3*z**3 - 52*z**4 = 0.
-2/5, 0, 1
Let m(a) = a**4 - a**3 - a. Let g(j) = -3*j + 113. Let c be g(38). Let b(u) = -10*u**3 + 2*u**2 + 6*u. Let f(l) = c*b(l) + 2*m(l). Factor f(h).
2*h*(h - 1)*(h + 1)*(h + 4)
Let w(z) be the third derivative of z**5/270 - 61*z**4/108 - 62*z**3/27 + 1751*z**2. Find c, given that w(c) = 0.
-1, 62
Suppose -5184*t - 2916 - 4653/4*t**2 - 9/8*t**4 + 615/8*t**3 = 0. What is t?
-3, -2/3, 36
Factor -1/6*a**2 - 64/3 + 6*a.
-(a - 32)*(a - 4)/6
Suppose -3*d + 2*w + 13 + 3 = 0, d = -2*w - 8. Suppose -d*h + 7*h = 540. Factor -24*m**2 + 76 - m**4 + 4*m**4 - h - m**4 + 56*m - 2*m**3.
2*(m - 2)**2*(m - 1)*(m + 4)
Let i = 258088/5 - 51616. Factor -28/5*p**2 - 48/5 + 16*p - i*p**3 + 4/5*p**4.
4*(p - 2)**2*(p - 1)*(p + 3)/5
Let j(i) be the first derivative of -2*i**3/33 - 4718*i**2/11 - 11129762*i/11 - 3674. Determine y, given that j(y) = 0.
-2359
Let t = 1094058 - 1094055. Find r such that -3/2*r**2 - 3*r**t + 9/4 + 3*r - 3/4*r**4 = 0.
-3, -1, 1
Let y(u) be the first derivative of 11 + 0*u - 5/2*u**4 + 0*u**3 + 0*u**2 + u**5. Suppose y(r) = 0. Calculate r.
0, 2
Suppose -99*q + 151621 = 151324. Let 4/3 + 2/3*x**q - 2/9*x**4 + 10/3*x**2 + 34/9*x = 0. Calculate x.
-1, 6
Let o = 275 - 203. Let c be (-3 - (-208)/o)*27/(-6). Find s such that c*s**5 + 0*s**4 + s**2 - 3/2*s**3 + 0*s + 0 = 0.
-2, 0, 1
Let s = 512 - 517. Let c(r) = 4*r**3 - 22*r**2 + 44*r - 22. Let u(q) = -8*q**3 + 43*q**2 - 88*q + 43. Let k(m) = s*c(m) - 2*u(m). Factor k(f).
-4*(f - 3)*(f - 2)*(f - 1)
Suppose 851 = 40*y - 385 + 356. Let s(g) be the third derivative of 1/15*g**5 + 0*g + 0 + y*g**2 + 10/3*g**3 - g**4. Factor s(n).
4*(n - 5)*(n - 1)
Let o(b) be the second derivative of 2*b**6/15 - 7*b**5/5 + 3*b**4 + 14*b**3/3 - 20*b**2 + 2*b. What is u in o(u) = 0?
-1, 1, 2, 5
Let m(t) be the first derivative of t**4/26 - 68*t**3/39 - 516*t**2/13 - 3312*t/13 - 4607. Factor m(v).
2*(v - 46)*(v + 6)**2/13
Let l be (16/4 - 775/217)*256. Factor 3/7*n**2 - 96/7*n + l.
3*(n - 16)**2/7
Suppose 291*a - 59 = -3*k + 296*a, -6*a = 3*k + 51. Factor 0 - 1/2*s**k + 3/2*s - s**2.
-s*(s - 1)*(s + 3)/2
Find b, given that -221/12 - 251/12*b - 31/12*b**2 - 1/12*b**3 = 0.
-17, -13, -1
Let b(h) be the second derivative of 13/9*h**2 - 52*h + 0 - 4/9*h**3 - 1/54*h**4. Determine c, given that b(c) = 0.
-13, 1
Let f = 36086 + -36082. Let k(l) be the third derivative of 1/56*l**f + 1/490*l**7 + 0*l**3 + 42*l**2 + 0*l + 0 + 3/140*l**5 + 3/280*l**6. Factor k(s).
3*s*(s + 1)**3/7
Let u(y) be the third derivative of -y**7/70 + y**6/5 - y**5/20 - 21*y**4/4 - 21*y**2 - 35*y. Factor u(w).
-3*w*(w - 7)*(w - 3)*(w + 2)
Factor 1/4*t**2 + 3/2*t - 10.
(t - 4)*(t + 10)/4
Let q(a) = 24*a + 56. Let h be q(2). Factor -h + 0*w**2 - 24 + 47 + 78*w + 3*w**2.
3*(w - 1)*(w + 27)
Let u(w) be the first derivative of -15/14*w**2 - 3/7*w**3 - 4 - 1/28*w**4 + 25*w. Let d(k) be the first derivative of u(k). Let d(q) = 0. Calculate q.
-5, -1
Let a(w) = 3*w**3 - 14*w**2 - 9*w + 22. Let t be a(5). Let 13189*j**4 + 204*j**t - 48 + 104*j**3 - 13177*j**4 - 6*j + 70*j = 0. Calculate j.
-6, -2, -1, 1/3
Let h(j) be the first derivative of j**7/42 + j**6/8 + j**5/4 + 5*j**4/24 - 99*j**2/2 - 25. Let t(z) be the second derivative of h(z). Factor t(c).
5*c*(c + 1)**3
Let k be 7/(-21) + 472/1056. Let c(r) be the first derivative of -k*r**4 - 7/22*r**2 + 6/11*r**3 + 12 - 6/11*r. Factor c(m).
-(m - 3)*(m - 1)*(5*m + 2)/11
Let l = 90/83 - 5317/4980. Let t(b) be the third derivative of 25/6*b**3 + 2*b**2 + l*b**5 + 0 + 5/12*b**4 + 0*b. Factor t(y).
(y + 5)**2
Let a(m) be the first derivative of 0*m + 1/3*m**2 + 26 + 1/9*m**3. Factor a(h).
h*(h + 2)/3
Suppose 164*t - 67 = 161*t - 5*x, 5 = 4*t - x. Determine v so that 2/3*v + 1/6*v**5 + 0 - 1/2*v**t - 5/6*v**3 + 1/2*v**2 = 0.
-1, 0, 1, 4
Factor -156/11 + 222/11*v - 6/11*v**3 - 60/11*v**2.
-6*(v - 2)*(v - 1)*(v + 13)/11
Suppose 4*l = -t + 9247, 5*l - 68*t = -69*t + 11558. Suppose -2206*a - 4*a**2 - a**2 + l*a = 0. What is a?
0, 21
Let x be -252 + 252 + -1 + -1 + 6. Suppose 0 - 6*f**2 - 18*f**3 - 3*f**5 + 32*f - 7 + 1 + 15*f**x - 3 - 11*f = 0. Calculate f.
-1, 1, 3
Suppose -1/5*d**3 + 58/5*d**2 + 0 - 841/5*d = 0. What is d?
0, 29
Let z(h) = -10*h - 26. Let y be z(-4). Find b, given that -36*b**3 - 6*b**2 + 72 + y*b**2 - 32*b**5 + 34*b**5 + 114*b = 0.
-4, -1, 3
Solve -65*r**3 + 3*r**4 - 3337*r**2 + 3025*r**2 - 165*r**3 = 0 for r.
-4/3, 0, 78
Let b = -25522 - -25527. Let s(q) be the second derivative of 5/42*q**3 - 1/140*q**b - 1/84*q**4 + 3*q + 6 - 3/14*q**2. Factor s(r).
-(r - 1)**2*(r + 3)/7
Let o(c) be the second derivative of 2*c**7/147 - 338*c**6/105 + 1032*c**5/5 