(g + 1)*(g + 2)
Suppose 1103 - 923 = 15*v. Solve -24*r + 0 - 3/2*r**5 + 48*r**2 + v*r**4 - 36*r**3 = 0.
0, 2
Let i = 10187 - 10184. Factor -1/4*r**i + 0 - 5/4*r**2 + 0*r.
-r**2*(r + 5)/4
Factor 2/11*c**2 + 36/11 + 2*c.
2*(c + 2)*(c + 9)/11
Let h(u) be the first derivative of -u**5/10 + 4*u**4/3 - 7*u**3 + 18*u**2 - 19*u - 12. Let q(l) be the first derivative of h(l). Factor q(b).
-2*(b - 3)**2*(b - 2)
Let h(m) be the third derivative of -m**8/90720 + m**7/22680 + 3*m**5/10 - m**3/6 + 47*m**2. Let z(v) be the third derivative of h(v). Let z(n) = 0. What is n?
0, 1
Let k(p) be the second derivative of -p**6/135 - p**5/15 - 11*p**4/54 - 2*p**3/9 + 10*p + 1. Factor k(g).
-2*g*(g + 1)*(g + 2)*(g + 3)/9
Let m = 275 - 248. Suppose m*f + 16 - 70 = 0. Factor 3/2 + 1/2*j**2 + f*j.
(j + 1)*(j + 3)/2
Let q be (25 + -19)*4/3. Let 2*h**2 - 2*h**2 + 4*h**2 - q*h**2 - 2*h**3 = 0. What is h?
-2, 0
Let t(s) = 3*s**2 + 13*s - 30. Let l be t(-6). Find r such that -10/13*r**3 + 24/13*r**5 + 8/13*r**4 + l*r + 0 - 4/13*r**2 = 0.
-1/2, 0, 2/3
Determine l so that -34/11*l**2 - 10/11*l**3 + 28/11*l + 16/11 = 0.
-4, -2/5, 1
Let t = 16121/251868 + -26/417. Let f = 2429/7852 - t. Determine v so that 2/13*v**3 - 2/13*v - 2/13*v**4 - f + 6/13*v**2 = 0.
-1, 1, 2
Factor -14*f + 215 - 2*f**2 - 215.
-2*f*(f + 7)
Suppose 8*u - 7*u - 2 = 0. Suppose -u*w = n - 3 - 5, 4*w - 3*n = -4. Find h such that 0 + 1/4*h + 1/4*h**w = 0.
-1, 0
Suppose 0 = c + 5*j - 6, 3*c - 2 + 4 = -5*j. Let g be 2/(-1)*(c + 3). What is p in 10*p**g + 19*p**2 + 43*p**2 - 28*p**3 + 4*p**4 + 32 - 80*p = 0?
1, 2
Let r = 7608 - 7606. Suppose -5/4*k - 1/4*k**r - 1 = 0. Calculate k.
-4, -1
Solve 2916/5 - 216*b + 20*b**2 = 0 for b.
27/5
Let u(w) be the third derivative of w**6/24 - w**5/4 + 5*w**4/12 - 14*w**2. Determine r, given that u(r) = 0.
0, 1, 2
Suppose -55*k = -22*k - 1 + 1. Factor k*r**2 + 5/4*r**4 + 0 - 15/4*r**3 + 0*r.
5*r**3*(r - 3)/4
Let i(g) = -g**2 + 3*g - 5. Let p(l) = -27. Let x(h) = -5. Let y(z) = -2*p(z) + 11*x(z). Let b(w) = -4*i(w) + 20*y(w). Factor b(q).
4*q*(q - 3)
Let p be 0/(-3*2/3). Suppose -n - n**3 - 2*n + p*n**3 + 2*n**2 + 2*n**2 = 0. What is n?
0, 1, 3
Let i(m) = -7*m**5 - 23*m**4 + m**3 + 19*m**2 + 6*m + 2. Let x = 76 + -74. Let q(j) = j**5 - j**4 - j**3 - j**2 + 1. Let a(f) = x*q(f) - i(f). Solve a(k) = 0.
-2, -1, -1/3, 0, 1
Let q(x) be the third derivative of x**5/48 - 5*x**4/12 + 25*x**3/8 - 125*x**2. Factor q(h).
5*(h - 5)*(h - 3)/4
Let h be 365/(-1400) + (6/(-7))/(-3). Let w(q) be the second derivative of 0 + 6*q - 1/12*q**4 - h*q**5 + 0*q**2 - 1/12*q**3. Factor w(a).
-a*(a + 1)**2/2
Suppose -15 = 29*r - 73. Let p(b) be the first derivative of -1/8*b**r + 5/6*b**3 - 1/2*b - 12. Factor p(y).
(2*y - 1)*(5*y + 2)/4
Let q be (-18)/279 + (-4920)/(-1302). Find y, given that -12/7 + 10/7*y**2 + q*y = 0.
-3, 2/5
Suppose -11*q + 28 + 27 = 0. Solve 0*s**2 + 6 + 4*s**2 - 4 + q*s + s**3 = 0.
-2, -1
Find d, given that 3*d**4 + 2*d + 19/3*d**2 + 1/3*d**5 + 7*d**3 + 0 = 0.
-6, -1, 0
Suppose 0 = 4*k + 2*f - 34, -4*k - 2*f = -f - 33. Factor o**4 - k*o**4 + 0*o - 2*o**2 + 4*o + 9*o**4 + 2*o**5 - 6*o**3.
2*o*(o - 1)**2*(o + 1)*(o + 2)
Let g = -63802/7 - -9115. Factor -2/7 - 1/7*x**3 + 0*x**2 + g*x.
-(x - 1)**2*(x + 2)/7
Let m(s) = 1. Let w(h) = h + 7. Let f(d) = -2*m(d) - w(d). Let o be f(-10). Factor -1323*k**4 - 126*k**3 + 12*k + o + 249*k**2 - 15 + 9 - 7.
-3*(3*k + 1)**2*(7*k - 2)**2
Let b(u) = 8*u**3 + 10*u**2 + 8*u + 6. Let f(v) = -v**3 - v**2 - v - 1. Let m(y) = -b(y) - 6*f(y). Factor m(l).
-2*l*(l + 1)**2
Let k(v) = v**2 + 18*v + 24. Let l be k(-17). Suppose 9*n**2 + 21*n**3 - 7*n**4 - 2*n**4 - 3*n - 3*n - 8*n**5 - l*n**5 = 0. What is n?
-1, 0, 2/5, 1
Let d(j) be the second derivative of 9/2*j**2 + 1/4*j**4 + 0 - 2*j**3 + 9*j. Factor d(g).
3*(g - 3)*(g - 1)
Let k(y) = 19*y - 21. Let g be k(-10). Let q = 214 + g. Suppose 0*b**2 + 0*b + 21/2*b**4 + q*b**3 + 0 = 0. What is b?
-2/7, 0
Solve 63*w**2 + 85881 - 85833 - w**4 - 119*w - 6*w**3 + 15*w = 0 for w.
-12, 1, 4
Let t = -264 - -182. Let n = t + 165/2. Determine z, given that 1/2*z**3 - n + 1/2*z**2 - 1/2*z = 0.
-1, 1
Suppose -12/5*v**2 - 96/5*v + 0 + 3/5*v**3 = 0. What is v?
-4, 0, 8
Let b(r) be the second derivative of r**4/12 - 5*r**3/3 + 9*r**2/2 + 243*r. Factor b(o).
(o - 9)*(o - 1)
Suppose -11*j + 7*j + 16 = 0. Let c(b) be the second derivative of -4/13*b**2 + 0 + 4/39*b**3 + j*b - 1/78*b**4. Factor c(u).
-2*(u - 2)**2/13
Let j(f) = -2*f**3 + 11*f**2 + 116*f + 57. Let y be j(11). Factor 0 - 2/21*m - 2/21*m**3 + 4/21*m**y.
-2*m*(m - 1)**2/21
Let c(d) be the second derivative of -d**7/231 - 4*d**6/165 - d**5/22 - d**4/33 - 53*d. Factor c(o).
-2*o**2*(o + 1)**2*(o + 2)/11
Let y(t) be the first derivative of 0*t - t**4 + 15 + 4/3*t**3 - 4/5*t**5 + 2*t**2. Let y(b) = 0. Calculate b.
-1, 0, 1
Factor 25*j - 140*j - 99 - 69*j - 9*j**2 - 133*j + 17*j.
-3*(j + 33)*(3*j + 1)
Let s(z) be the first derivative of 6 + 5/6*z**4 - 9*z**2 - 1/10*z**5 + z - z**3. Let k(t) be the first derivative of s(t). Factor k(h).
-2*(h - 3)**2*(h + 1)
Let 28/13*m - 2*m**2 + 40/13*m**4 - 36/13*m**3 - 6/13 + 16/13*m**5 = 0. What is m?
-3, -1, 1/2
Let k(h) be the third derivative of h**7/350 + 37*h**6/600 + 13*h**5/25 + 2*h**4 + 32*h**3/15 + h**2 + 141*h. Factor k(z).
(z + 4)**3*(3*z + 1)/5
Factor -49/2*c**3 + 112*c**2 - 58*c + 8.
-(c - 4)*(7*c - 2)**2/2
Determine y, given that -6*y**3 + 0*y**2 + 33/5*y - 18/5*y**4 + 18/5 - 3/5*y**5 = 0.
-3, -2, -1, 1
Let t(n) = 2*n + 3*n - 2*n - 2*n - 2. Let w be t(7). Suppose -10*k**w + k**4 + k**4 + 8*k**5 = 0. What is k?
0, 1
Let j(u) = u**2 + 4*u + 6. Let c be j(-4). Solve -10*g**2 + c + 6 + 5*g**3 - 12 = 0.
0, 2
Suppose 19 = a + 17. Let u(m) be the first derivative of -1/9*m**3 + 0*m**2 + 0*m**4 + 0*m + a + 1/15*m**5. Factor u(q).
q**2*(q - 1)*(q + 1)/3
Let c be (-29)/(-145) + (-8)/(-40). Solve 0 - 6/5*v**4 - 2/5*v + 6/5*v**2 + c*v**3 = 0.
-1, 0, 1/3, 1
Let t = 148 - 127. Let h be (-7)/t*3 + 3. Factor 3/4*s - 3/4*s**3 - 3/4*s**h + 3/4.
-3*(s - 1)*(s + 1)**2/4
Let i(a) be the first derivative of -3*a**4/8 + a**3/2 + 21. Factor i(q).
-3*q**2*(q - 1)/2
Let z = 310 + -306. Let -11/3*k**4 + 4/3 - z*k + 7/3*k**2 + 3*k**3 + k**5 = 0. What is k?
-1, 2/3, 1, 2
Suppose 238*i - 9 = 235*i. What is n in 0 + 0*n**2 + 3/7*n**i + 0*n = 0?
0
Let v(y) be the second derivative of y**4/20 - 47*y**3/10 - 72*y**2/5 - 2*y + 13. Suppose v(p) = 0. Calculate p.
-1, 48
Let s = 328 - 182. Solve 15*f + s*f**2 - 3*f**3 + 6 - 134*f**2 + 6*f**3 = 0.
-2, -1
Let z(a) = a**2 - 19*a + 6. Let r be z(19). Suppose 23 = r*o - 13. Find q, given that o + 3*q**3 + 2*q**2 - 3*q + 2*q**2 - 10*q**2 = 0.
-1, 1, 2
Let i(v) be the second derivative of v**4/78 + 6*v**3/13 + 32*v**2/13 - 338*v. Factor i(t).
2*(t + 2)*(t + 16)/13
Suppose 2*f = 0, 4 = 2*c + 2*f - 3*f. Let l(p) be the first derivative of 0*p - 2/5*p**5 + 0*p**4 + 2/3*p**3 + 1 + 0*p**c. Factor l(k).
-2*k**2*(k - 1)*(k + 1)
Suppose -3*p - u = p + 50, 38 = -4*p + 5*u. Let b(d) = 16 + 4*d**2 - 9 - 8 - 5*d**2. Let c(z) = -8*z**2 + 16*z + 4. Let l(y) = p*b(y) + c(y). Factor l(f).
4*(f + 2)**2
Let o(r) be the second derivative of -2*r**5/5 + 25*r**4/3 - 22*r**3 - 380*r. Factor o(b).
-4*b*(b - 11)*(2*b - 3)
Let t be (42/(-1))/(2 + 0 - 1). Let k be t/14 - 6/(-1). Find i, given that 3/4*i**k + 0*i + 0 - 3/4*i**4 + 0*i**2 = 0.
0, 1
Let a = -6042 + 6060. Determine z, given that 3/2*z**4 + 69/2*z**2 + a + 12*z**3 + 42*z = 0.
-3, -2, -1
Let p be 14 + (1 - (11 - 1)). Let w(n) be the third derivative of 1/24*n**4 + 0 + 0*n**3 - 10*n**2 - 1/120*n**p + 0*n. Suppose w(y) = 0. Calculate y.
0, 2
Let b(g) = 4*g**2 - 22*g + 50. Let z(w) = -138 + 57*w - 28 - 21*w**2 - 84 + 54*w. Let t(x) = -11*b(x) - 2*z(x). Factor t(p).
-2*(p - 5)**2
Factor -18*k**3 + 8 - 27*k - 70*k**2 - 51*k + 14*k.
-2*(k + 2)**2*(9*k - 1)
Suppose 0 = 2*r + v - 11, 2*r + v + 17 = 7*r. Factor 180*i - 68*i**4 - 600*i**2 + 196*i**3 - 11*i**3 + 53*i**r.
-5*i*(i - 6)**2*(3*i - 1)
Find d such that 48*d**2 + 2405*d - 1205*d - 1176*d + 1 + 2 = 0.
-1/4
Factor -88*u**2 + 92*u + 84*u**3 - 32*u**4 - 60*u + 5*u**5 - u**5.
4*u*(u - 4)*(u - 2)*(u - 1)**2
Let r be (-4 - -4)*(-11)/11 + 2/1. Factor 0 + 0*z - 3/4*z**3 - 3/8*z**4 - 3/8*z**r.
-3*z**2*(z + 1)**2/8
Let p(c) be the third deriv