.
-3*(h - 191)**2/2
Suppose -4*z = -5*g + 455, g - 3*z + 205 = 3*g. Find x, given that -49*x + 2*x**3 - 8*x**2 - 52*x + 30 + g*x + 6 = 0.
-2, 3
Suppose 2*y + b - 28 = -4*b, -5*b + 16 = -y. Let -3*v + y*v + 2*v**2 + v + 2*v**2 + 2*v**3 = 0. What is v?
-1, 0
Let o = 21 - 17. Let q = -1 + o. Let -4*j + 6*j**3 - 3*j**5 + q*j - j - j = 0. Calculate j.
-1, 0, 1
Let k(u) = 21*u**2 + 84*u + 18. Let r(z) = -11*z**2 - 40*z - 9. Let o(q) = -4*k(q) - 9*r(q). Factor o(l).
3*(l + 1)*(5*l + 3)
Suppose 2550*r**2 + 64 - 1261*r**2 + 64*r + 2*r**3 - 1269*r**2 = 0. What is r?
-4, -2
Let i be (-4 - 1 - -4)*3. Let j be ((-2)/i)/(((-275)/30)/(-11)). Factor 2/5 + j*c + 2/5*c**2.
2*(c + 1)**2/5
Suppose -76/9*n**2 + 100/9 + 2/9*n**5 - 10*n + 88/9*n**3 - 8/3*n**4 = 0. What is n?
-1, 1, 2, 5
Let k(r) = -r**3 - 4*r**2 + 4. Let n be k(-4). Factor -n*u**4 + 2*u**4 + 12*u**3 + u**3 - u**3 - 18*u**2.
-2*u**2*(u - 3)**2
Suppose 0 = 7*n - 17*n - 10*n - 10*n. Factor 0*k - 2/15*k**2 + n.
-2*k**2/15
Let r(h) be the third derivative of -h**6/540 + h**5/90 + 4*h**3/3 - h**2. Let z(b) be the first derivative of r(b). Factor z(d).
-2*d*(d - 2)/3
Let w be (-7)/((-105)/39) - 6/10. Find g, given that 11*g**w - 20*g**2 + 15*g + 14*g**2 - 15*g**3 - 5*g**4 = 0.
-3, -1, 0, 1
Let z(q) be the third derivative of q**7/525 - q**6/50 + 2*q**5/25 - 2*q**4/15 - 45*q**2. Let z(l) = 0. Calculate l.
0, 2
Suppose -13*u + 33*u = 18*u. Let v(z) be the second derivative of -z - 2/11*z**3 + u - 9/11*z**2 - 1/66*z**4. Factor v(h).
-2*(h + 3)**2/11
Let g(w) be the second derivative of w**2 + 2/9*w**3 + 18*w + 0 - 1/18*w**4. Factor g(s).
-2*(s - 3)*(s + 1)/3
Let r(y) = 5*y**2 + 4*y - 3. Let i be r(2). Suppose -i = -0*a - 5*a. Factor -12*l**2 + 2*l**a - 8*l**2 + 10*l**3 + 16*l**2 - 8*l**4.
2*l**2*(l - 2)*(l - 1)**2
Let i(t) be the second derivative of 5*t**4/6 - t**3 - t - 2. Factor i(z).
2*z*(5*z - 3)
Factor 8*m**3 - 7*m**3 - 5*m**3.
-4*m**3
Let s(a) be the first derivative of 4*a**5/15 + 83*a**4/6 + 230*a**3/3 + 448*a**2/3 + 296*a/3 + 466. Find j such that s(j) = 0.
-37, -2, -1/2
Suppose 3*r + 45 = 4*y, -3*y + 20 = -0*y - 5*r. Suppose 2*m = -2*m + 12. Solve -33*l**3 - y*l**4 - 6*l - 27*l**2 - 7*l**3 + 4*l**m = 0 for l.
-1, -2/5, 0
Let b(p) be the third derivative of -3*p**2 + 0 - 3/10*p**3 - 1/300*p**5 + 0*p + 1/20*p**4. Determine s so that b(s) = 0.
3
Let v(k) be the second derivative of k**4/36 - 7*k**3/9 - 5*k**2/2 + 16*k. Factor v(f).
(f - 15)*(f + 1)/3
Let r(v) = -2*v**3 - v**2 + 1. Let d(z) = -10*z**3 - 35*z**2 - 68*z - 37. Let t = -75 - -74. Let k(w) = t*d(w) + 3*r(w). Let k(m) = 0. What is m?
-5, -2, -1
Let j = 33/130 - -31/390. Factor n + j*n**2 + 2/3.
(n + 1)*(n + 2)/3
Factor 39/8*h + 21/8 - 69/8*h**2 + 9/8*h**3.
3*(h - 7)*(h - 1)*(3*h + 1)/8
Let t(v) = -v**4 + 84*v**3 - 62*v**2 - 80*v + 75. Let a(h) = 85*h**3 - 60*h**2 - 80*h + 75. Let x(d) = 4*a(d) - 5*t(d). Let x(g) = 0. What is g?
-1, 1, 15
Let i(n) be the first derivative of -n**6/24 - n**5/24 + 5*n**4/12 + 9*n**3 - 1. Let t(l) be the third derivative of i(l). Factor t(z).
-5*(z + 1)*(3*z - 2)
Suppose -4*i + 16 = 4. Suppose -h - 4 = -i*h. Factor -8 - u + 4*u**h + 12 - 7*u.
4*(u - 1)**2
Let x(i) = -i**2 + 10. Let w(b) = -10*b**2 + 1580*b - 124770. Let t(k) = -w(k) + 5*x(k). Factor t(o).
5*(o - 158)**2
Let q(w) be the first derivative of -3*w**4/16 - w**3/2 + 3*w**2 + 78. Let q(c) = 0. What is c?
-4, 0, 2
Let y = -5827 - -5830. Determine w, given that w**y + 0 + 1/3*w**4 - 1/3*w**5 - 1/3*w**2 - 2/3*w = 0.
-1, 0, 1, 2
Let a be (4/(-14))/((-7)/49). Let s(k) be the second derivative of -9/4*k**a - 8*k + 5/4*k**3 - 3/40*k**5 - 1/8*k**4 + 0. Determine w, given that s(w) = 0.
-3, 1
Let b(q) = 21*q**3 + 33*q**2 - 57*q - 393. Let f(i) = i**3 + i**2 + i - 1. Let l(h) = b(h) - 18*f(h). Suppose l(a) = 0. What is a?
-5, 5
Let j(d) be the second derivative of d - 1/20*d**5 + 0*d**3 + 0 - 1/4*d**4 - 4*d**2. Let y(u) be the first derivative of j(u). Let y(o) = 0. What is o?
-2, 0
Let o(z) be the second derivative of 18*z + 1/95*z**5 - 1/38*z**4 + 0 - 4/57*z**3 + 4/19*z**2 + 1/285*z**6. Factor o(s).
2*(s - 1)**2*(s + 2)**2/19
Let d = -174 + 36. Let k be d/(-24) - (-1)/4. Factor -20/3*n - 7/3*n**3 - 8/3 - k*n**2 - 1/3*n**4.
-(n + 1)*(n + 2)**3/3
Let v(k) = 20*k**2 + 49*k - 91. Let s(x) = 4*x**2 + 10*x - 18. Let m(h) = 11*s(h) - 2*v(h). Factor m(d).
4*(d - 1)*(d + 4)
Let c(i) be the second derivative of -23*i + 1/10*i**6 - 3/4*i**4 - i**3 + 0*i**5 + 0*i**2 + 0. Factor c(t).
3*t*(t - 2)*(t + 1)**2
Factor -6*g**4 - g**4 + 3*g**3 + 6*g**4 - 5*g**3.
-g**3*(g + 2)
Factor 23645*o + 91156*o**2 + 51*o**4 + 4737 - 967*o**3 + 9311*o**3 + 26419*o + 145*o**4 + 2319.
4*(o + 21)**2*(7*o + 2)**2
Let p(y) be the first derivative of 16*y**2 + 2/3*y**6 - 4 - 4/5*y**5 + 16*y + 4/3*y**3 - 5*y**4. What is s in p(s) = 0?
-1, 2
Let s(f) be the first derivative of f**3/4 - 111*f**2 + 16428*f + 215. Factor s(i).
3*(i - 148)**2/4
Suppose 0 = 70*i - 56*i - 70. Let j(r) be the second derivative of 2/5*r**2 + i*r + 14/15*r**4 + 0 + r**3. Factor j(d).
2*(4*d + 1)*(7*d + 2)/5
Let m(x) = 3*x**2 - 24*x + 18. Let a(g) = g - 2. Let t(v) = -3*a(v) + m(v). Factor t(k).
3*(k - 8)*(k - 1)
Let 224/3 - 2/3*m**2 - 74*m = 0. What is m?
-112, 1
Let t(r) be the first derivative of r**2/2 + r - 21. Let y(v) = -2*v**2 + 24*v + 26. Let k(a) = -44*t(a) + 2*y(a). Factor k(i).
-4*(i - 2)*(i + 1)
Let f(j) = 2*j + 12. Let l be f(-8). Let q(n) = n**2 + 6*n + 8. Let z be q(l). Factor 2/7*m**2 + z + 2/7*m**3 + 0*m.
2*m**2*(m + 1)/7
Let v = -14/615 + 643/1230. Factor 1/2*x**2 - x + v.
(x - 1)**2/2
Let p(t) be the second derivative of 3*t**7/56 - 7*t**6/40 - 67*t**5/40 - 31*t**4/8 - 33*t**3/8 - 17*t**2/8 + 5*t - 3. Let p(r) = 0. What is r?
-1, -1/3, 17/3
Suppose -f = -0*f - 1. Let w = 1 + f. Factor q**5 + 0*q**w - 4*q**4 - 4*q**3 + 3*q**5 + 4*q**2.
4*q**2*(q - 1)**2*(q + 1)
Let m = 2843/5694 - -2/2847. Let z(j) be the first derivative of -5/8*j**4 - 3/2*j**3 + m*j + 4 - 3/4*j**2. Factor z(o).
-(o + 1)**2*(5*o - 1)/2
Let k(j) be the first derivative of -9 + 2*j + 1/3*j**2 + 1/18*j**4 - 10/27*j**3. Factor k(f).
2*(f - 3)**2*(f + 1)/9
Suppose -l = k - 11, -k - 3*l + 14 = -l. Let s be 10/2 + k/(-4). Factor -2/15*i**s + 0*i**2 + 0*i + 2/5*i**5 + 0 + 4/15*i**4.
2*i**3*(i + 1)*(3*i - 1)/15
Let c(h) = h - 2. Let z be c(6). Suppose -5*w + 2 = 2*m, 2*m - 3*w = -7*w + z. Factor -6 + m - 15*g + 5*g**2.
5*g*(g - 3)
Let p be (5 - (-48)/(-21)) + (-4)/(-14). Factor 0 + 24*o + 3/2*o**p + 12*o**2.
3*o*(o + 4)**2/2
Let i = -1/593 - -1201/8895. Factor -i*o**4 + 2/5*o**2 - 2/15*o**3 + 2/3*o + 4/15.
-2*(o - 2)*(o + 1)**3/15
Let d(n) be the first derivative of -n**6/14 + 6*n**5/7 - 6*n**4/7 - 10*n**3/7 + 27*n**2/14 + 47. What is u in d(u) = 0?
-1, 0, 1, 9
Factor -c**2 + 0 + 0*c + 1/2*c**3.
c**2*(c - 2)/2
Let z(t) be the first derivative of 5*t**4/4 - 20*t**3/3 - 30*t**2 - 151. Determine s so that z(s) = 0.
-2, 0, 6
Let i(q) be the second derivative of q**7/42 + q**6/30 - 3*q**5/10 - q**4/3 + 4*q**3/3 - 6*q - 8. Factor i(a).
a*(a - 2)*(a - 1)*(a + 2)**2
Let y(a) = 30*a**2 + 10*a + 14. Let n(q) be the first derivative of -2*q**3/3 - q + 48. Let f(u) = 28*n(u) + 2*y(u). Factor f(d).
4*d*(d + 5)
Determine u, given that -10/11*u + 2/11*u**3 - 12/11 + 4/11*u**2 = 0.
-3, -1, 2
Let p(x) = -x**3 + 20*x**2 - 14*x - 92. Let s be p(19). What is j in 6/7*j + 3/7*j**5 - 9/7*j**s + 0 - 3/7*j**4 + 3/7*j**2 = 0?
-1, 0, 1, 2
Let p = -61 - -63. Let j**2 - j**3 + 63*j**4 - 61*j**4 - j**3 - 5*j**p = 0. Calculate j.
-1, 0, 2
Let c = -92 - -96. Let x(y) be the third derivative of 0*y + 1/96*y**c + 1/840*y**7 + 0 - 1/480*y**6 + 0*y**3 - 4*y**2 - 1/240*y**5. Find l such that x(l) = 0.
-1, 0, 1
Let j be (-48)/(-23) - (-78)/(-897). Let l(d) be the third derivative of 0*d**3 + 1/660*d**6 + 0*d**4 + j*d**2 + 0*d - 1/165*d**5 + 0. Factor l(n).
2*n**2*(n - 2)/11
Let s = 1531 - 1528. Solve s*k - 3/4*k**2 - 3 = 0.
2
Factor -9/4*l - 3/4*l**2 + 0.
-3*l*(l + 3)/4
Let o(i) be the third derivative of -i**7/42 - 7*i**6/24 - 5*i**5/6 + 60*i**2. Find g, given that o(g) = 0.
-5, -2, 0
Let g be 7/(-42) - 4/(-6). Determine w, given that 0*w + 2/3 - g*w**2 - 1/6*w**3 = 0.
-2, 1
Suppose g - 19 + g**2 + 23 + 3*g = 0. What is g?
-2
Let 44*k**2 + 32*k + 169 - 2*k**4 + 9*k**3 + k**3 - 1