41374 - 8181017 + 3210077 - 4*r**2 - 9203758 + 20096*r - 5124504 = 0. What is r?
2512
Let y(i) = 4*i**2 + 99*i + 87. Let p be y(-24). Let h(t) be the first derivative of -1/5*t**5 + 0*t - t**4 - 4/3*t**3 - p + 0*t**2. Let h(d) = 0. Calculate d.
-2, 0
Let k(a) = -7*a**3 - 2*a + 3. Let t(z) = 2*z - 9*z - 4 - z**2 - 19*z**3 + 12 + z. Let j(c) = 8*k(c) - 3*t(c). Factor j(q).
q*(q + 1)*(q + 2)
Suppose -12*s - 1598 = -4778. Suppose 0 = -5*l - 4*t + s, 0*t + t = -5*l + 280. What is i in -4*i**4 - 59*i**5 + 4*i - 2*i + 4*i**2 + l*i**5 = 0?
-1, 0, 1
Let j = 902 - 900. Suppose -7 = 4*f - z + 6*z, -z = -5*f + 13. Factor 8*r**f - 20*r + 4*r - 3*r**j + 31*r - 20.
5*(r - 1)*(r + 4)
Let k be (2 - 1 - 6)/(-2)*(-272)/(-170). Let t(u) be the first derivative of 9*u - 21/2*u**2 - 3/4*u**k + 5*u**3 - 11. Factor t(g).
-3*(g - 3)*(g - 1)**2
Suppose -2*k = -5*t + 14, -3*k + 4*t = 2*k + 1. Suppose -3 = -k*b + 15. Find i such that -11*i**3 + 3*i**4 + 2*i**4 + 60*i**2 + b*i + 41*i**3 + 15 + 44*i = 0.
-3, -1
Suppose -131388*u = -5*p - 131393*u - 100, -2*p + 3*u + 60 = 0. Solve 10/3*g + 1/3*g**2 + p = 0.
-10, 0
Let v(t) = -t**2 - 20*t + 60. Let w(j) = -2*j - 4. Let x(d) = -v(d) + 6*w(d). Solve x(s) = 0.
-14, 6
Determine x so that 1/2*x**4 - 6*x**2 - 11/2*x**3 + 0 + 0*x = 0.
-1, 0, 12
Suppose -3*o = 2842*q - 2840*q - 276, -131 = -q - o. Determine c, given that -1275/2*c**2 + 54 + 6069/4*c**3 - q*c = 0.
-2/7, 6/17
Let i(d) be the second derivative of 5*d**4/12 - 575*d**3/3 + 1145*d**2/2 - 2180*d. What is k in i(k) = 0?
1, 229
Suppose 3 = 2*r - 1. Suppose m = -5*c, 12*c = 16*c - 5*m. Factor -2/3*o + 2/3*o**r + c.
2*o*(o - 1)/3
Let p = 7/3 - 14/15. Let u = p + 1/10. Factor 0 - 1/2*q**4 - 1/2*q - u*q**2 - 3/2*q**3.
-q*(q + 1)**3/2
Suppose -29*s = -27*s - 32. Suppose 24*h - s*h = 16. Factor 582 - 582 + 5*d**3 - 5*d**h.
5*d**2*(d - 1)
Let s(t) be the first derivative of 0*t**2 + 0*t - 1/4*t**4 - 176 + 16/3*t**3. Determine g so that s(g) = 0.
0, 16
Suppose 0 = -21*v + 4 + 164. Let d be v/(-84)*14*18/(-8). Let 2 - 4*q - 1/2*q**d + 5/2*q**2 = 0. What is q?
1, 2
Let z(c) = -c**2 - 41*c + 36. Suppose 5*o - 236 + 196 = 0. Let w(a) = -3*a**2 - 122*a + 109. Let y(f) = o*z(f) - 3*w(f). Let y(p) = 0. Calculate p.
-39, 1
Let l(r) be the third derivative of r**7/15 - 281*r**6/30 + 713*r**5/30 - 79*r**4/6 - 5265*r**2. Factor l(z).
2*z*(z - 79)*(z - 1)*(7*z - 2)
Let n(q) be the second derivative of q**4/4 + 19*q**3 + 355*q. Factor n(j).
3*j*(j + 38)
Let m = 2408474/5 + -483351. Let b = m + 1657. Factor -b*v**2 - 4/5*v**3 + 4/5*v + 4/5.
-4*(v - 1)*(v + 1)**2/5
Let w(v) be the third derivative of 0*v**4 - 3*v - 1/40*v**6 + 0 + 0*v**3 - 1/210*v**7 - 1/30*v**5 + 5*v**2. Determine b so that w(b) = 0.
-2, -1, 0
Let d = 1/12 - -5/4. Let y be 0 + -1 + (-19)/(-3). Factor y + d*h**2 + 16/3*h.
4*(h + 2)**2/3
Let s be ((-168)/(-102))/1 - 2358/(-6681). Find a, given that 2/9*a**s - 38/9*a + 4 = 0.
1, 18
Let t(x) = -12*x**3 + 18*x**2 - 2*x - 2. Suppose 2*g - 4 = -0. Let m(z) = 0*z + 8*z**2 - 36*z**3 - 5*z - 5 + 45*z**2. Let f(c) = g*m(c) - 7*t(c). Factor f(q).
4*(q - 1)**2*(3*q + 1)
Let p(a) = -a**3 - 13*a**2 - 53*a - 141. Let h be p(-9). Let u(z) be the first derivative of -h*z - 11 + 1/2*z**4 - 8/3*z**3 - 11*z**2. Let u(c) = 0. What is c?
-1, 6
Let b = 76 + -72. Let a(y) = 21*y**2 + 40*y - 61. Let v(p) = -4*p**2 - 8*p + 12. Let j(d) = b*a(d) + 22*v(d). Suppose j(o) = 0. What is o?
-5, 1
Let n(j) be the second derivative of -13*j**3/3 + 133*j**2/2 + 193*j. Let p be n(5). Let -2/15*x**p - 4/15*x**4 + 0*x**2 - 2/15*x**5 + 0 + 0*x = 0. What is x?
-1, 0
Let f(t) = -t**2 - 86*t + 21. Let r be f(0). Let g be (-2)/(-10)*((4 - 7) + r). Determine k, given that -6*k + 14/5*k**2 - 2/5*k**3 + g = 0.
1, 3
Let w(c) be the first derivative of 0*c**3 - 32 + 5/4*c**4 + 19*c**5 + 0*c + 15*c**6 + 0*c**2. Factor w(y).
5*y**3*(y + 1)*(18*y + 1)
Let y(u) = -2*u**4 - u**3 - u**2 - 2*u - 1. Let t(a) = 4*a**4 - 21*a**3 + 71*a**2 - 48*a + 1. Let k(b) = -t(b) - y(b). Factor k(s).
-2*s*(s - 5)**2*(s - 1)
Suppose -5*x + x + 20 = 0. Suppose -x*l + 11 = -14. Factor -2 - y**3 - 4*y**3 + 7*y + y**3 + l*y**2.
-(y - 2)*(y + 1)*(4*y - 1)
Let a = -5953749489/8503621 + -2/1214803. Let i = a - -701. Factor -3/7*o**2 + 3/7*o + i.
-3*(o - 2)*(o + 1)/7
Let a be (5/(325/(-26)))/(2*1/(-10)). Find l, given that 4/3 - 28/9*l + 8/9*l**a = 0.
1/2, 3
Factor 2*k**4 - 1357*k - 906 + 3*k**2 + 301*k**3 - 107*k**3 + 271*k**3 - 12*k**3 - 3*k**4.
-(k - 453)*(k - 2)*(k + 1)**2
Let y(f) be the second derivative of -f**4/18 + 3974*f**3/9 - 3948169*f**2/3 - 64*f + 53. Factor y(a).
-2*(a - 1987)**2/3
Factor -4 + 13/3*g**3 + 11/3*g**2 + 1/3*g**4 - 13/3*g.
(g - 1)*(g + 1)**2*(g + 12)/3
Determine m so that -2*m**3 + 3*m**3 + 6*m**3 - 29*m**2 - 33*m**2 - 9*m**3 - 318*m - 450 = 0.
-25, -3
Let c(w) be the first derivative of 11/4*w - 1/2*w**3 - 9/16*w**2 + 190 - 1/32*w**4. Suppose c(m) = 0. What is m?
-11, -2, 1
Determine z so that -812/11 - 194/11*z**2 - 1074/11*z + 6*z**3 - 2/11*z**4 = 0.
-2, -1, 7, 29
Let a(m) be the third derivative of -13*m**6/40 + 6*m**5/5 + 27*m**4/2 + 8*m**3 + 264*m**2. Suppose a(r) = 0. What is r?
-2, -2/13, 4
Let c(t) be the third derivative of t**5/180 - 95*t**4/36 - 191*t**3/18 + 40*t**2. Solve c(n) = 0 for n.
-1, 191
Let f(t) be the first derivative of 28 + 8/7*t + 1/7*t**2 - 1/21*t**3. Factor f(h).
-(h - 4)*(h + 2)/7
Let o(x) be the second derivative of x**7/28 + x**6/30 - 7*x**5/8 + 5*x**4/4 + 8*x**3/3 - 8*x**2 - 4401*x. Suppose o(z) = 0. Calculate z.
-4, -1, 1, 4/3, 2
Let y(s) = -s + 28. Let w be y(21). Let h(c) be the first derivative of 5*c - 5/3*c**3 + 0*c**2 - w. Factor h(d).
-5*(d - 1)*(d + 1)
Let q(y) = -3 + 7 + 0*y**2 - 2*y**2 + 7*y**2 + 4*y. Let d be q(-1). Factor -10*k**4 - 5*k**d + 17*k**3 - 5*k**3 + 23*k**3 - 20*k**2.
-5*k**2*(k - 1)**2*(k + 4)
Let t = -127 - -129. Let 28*s**3 - 11*s**t - 90*s**2 + 71*s**2 + 576*s - 98*s**2 - 144 - 132*s**2 = 0. What is s?
2/7, 3, 6
Let p(o) be the second derivative of 1/120*o**5 + 1/96*o**4 + 11*o - 1/160*o**6 + 0 + 0*o**3 - 7/2*o**2. Let i(d) be the first derivative of p(d). Factor i(w).
-w*(w - 1)*(3*w + 1)/4
Let z be (-498)/(-180) + 24/(-9). Let k(v) be the third derivative of 0*v**5 - 1/150*v**6 + z*v**4 + 0*v + 0 + 9*v**2 + 4/15*v**3. What is x in k(x) = 0?
-1, 2
Let p(o) = o**3 - 9*o**2 + 6*o + 18. Let z be p(8). Find u such that -2*u**4 + 7*u**3 - 6*u**3 + 5*u**4 + 8*u**3 + 20*u**z - 2*u**4 = 0.
-5, -4, 0
Let 0*a - 32/13*a**2 + 0*a**4 - 24/13*a**3 + 2/13*a**5 + 0 = 0. What is a?
-2, 0, 4
Let k(f) = -11*f + 5128. Let z be k(466). Solve -1/5*o**3 - 1/5*o**z + 2*o - 8/5 = 0.
-4, 1, 2
Let f(n) = 2*n**2 + n - 27. Let b(t) = 44*t**2 - 124*t + 752. Let s(l) = b(l) - 20*f(l). Factor s(a).
4*(a - 19)*(a - 17)
Factor 8886 - 8034 - 2*v**2 - 70*v - 208*v.
-2*(v - 3)*(v + 142)
Let y = -231 - -235. Factor -3*q**4 - 4*q**4 + 8*q**2 + 4*q**3 - 2*q**4 + 7*q**y - 16*q.
-2*q*(q - 2)**2*(q + 2)
Find h, given that -5*h**5 + 10*h**4 + 99273 - 99273 - 10*h**2 + h + 4*h = 0.
-1, 0, 1
Determine s, given that 3/7*s**2 + 31/7*s + 20/7 + 1/7*s**4 - s**3 = 0.
-1, 4, 5
Let w(h) = -32*h**2 - 8*h + 30. Let f(v) = -5*v**2 - v + 3. Let d(x) = 12*f(x) - 2*w(x). Find b such that d(b) = 0.
-3, 2
Let y(r) be the first derivative of -r**5/150 - r**2 + 20*r + 71. Let p(d) be the second derivative of y(d). Factor p(s).
-2*s**2/5
Let w(d) = -3*d**2 + 120*d + 93. Suppose -38*q - 16 = -42*q. Let f(y) = y**2 - 30*y - 23. Let g(l) = q*w(l) + 15*f(l). Factor g(o).
3*(o + 1)*(o + 9)
Let d(f) be the first derivative of -65*f**5 - 161*f**4/3 + 4*f**3/9 + 5368. Factor d(j).
-j**2*(3*j + 2)*(325*j - 2)/3
Let p be -10 - (2 - (-2*(-11 + 10) + 4) - 6). Factor p*a + 9/2*a**2 + 0 - 15/2*a**4 + 3*a**3.
-3*a**2*(a - 1)*(5*a + 3)/2
Let b(l) be the first derivative of 5*l**3 + 1/1620*l**6 + 0*l**2 + 1/540*l**5 - 1/54*l**4 + 16 + 0*l. Let j(g) be the third derivative of b(g). Factor j(i).
2*(i - 1)*(i + 2)/9
Let r(s) be the first derivative of s**4/114 - 7*s**3/57 + 10*s**2/19 - 90*s - 124. Let d(u) be the first derivative of r(u). Factor d(g).
2*(g - 5)*(g - 2)/19
Let u(d) be the first derivative of -d**5/15 - 17*d**4/12 - 22*d**3/3 - 12*d**2 + 5385. Suppose u(j) = 0. What is j?
-12, -3, -2, 0
Let m(o) be the second derivative of -49*o**2 +