- 3)*5/2. Let q = g - 11. Suppose 1/2*j**2 - q + j**3 - j = 0. What is j?
-1, -1/2, 1
Let x(w) = -6*w + 74. Let j be x(7). Factor 17*d**2 + 10*d**2 - 1 + 31 - j*d**2 + 5*d.
-5*(d - 3)*(d + 2)
Let j = -1 + 4. Determine y so that 14*y**j - 6 + 0*y - 3*y - 11*y**3 + 6*y**2 = 0.
-2, -1, 1
Let t(k) be the second derivative of 0*k**2 + 1/33*k**4 - 3/110*k**5 + 0*k**3 + 0 + 0*k**6 + 1/231*k**7 - 15*k. Factor t(d).
2*d**2*(d - 1)**2*(d + 2)/11
Let -808*y + 2*y**2 - 7*y**2 + 818*y = 0. What is y?
0, 2
Let r be (30/(-4))/(4/(-8)). Let y = r + -13. Solve 14/5*l**5 - 58/15*l**4 + 22/5*l**y - 34/15*l**3 - 8/15*l - 8/15 = 0.
-1, -2/7, 2/3, 1
Suppose c - 7*c = 24. Let t(v) = -v**3 - 5*v**2 - 4*v + 12. Let j(z) = 2*z**3 + 16*z**2 + 11*z - 36. Let l(y) = c*j(y) - 11*t(y). Factor l(x).
3*(x - 2)**2*(x + 1)
Suppose -16 = -3*v + 4*o, -o + 8 = 3*v - 3*o. Determine y, given that -6/7*y**3 + 0 - 4/7*y**2 - 2/7*y**4 + v*y = 0.
-2, -1, 0
Factor 140*g**2 + 143*g**2 + 828*g - 559*g**2 + 137*g**2 + 136*g**2 - 57132.
-3*(g - 138)**2
Let g(z) be the third derivative of z**7/70 - 23*z**6/60 + 481*z**5/180 + 46*z**4/9 + 32*z**3/9 - 102*z**2. Let g(w) = 0. What is w?
-1/3, 8
Let l = -10 - -22. Suppose 4*q - l = -4. Let -56*f**q + 0 + 57*f**2 - 1 = 0. What is f?
-1, 1
Suppose 9*i - 4*i - 10 = 0. Factor -l + l**2 - l**3 - i*l**2 + 3*l + 0*l.
-l*(l - 1)*(l + 2)
Find q such that 6*q**2 + 28/5*q + 2/5*q**3 + 0 = 0.
-14, -1, 0
Let q(z) be the first derivative of -1/6*z**3 - 1/24*z**4 - 15 + 1/12*z**2 + 1/3*z + 1/30*z**5. Suppose q(w) = 0. Calculate w.
-1, 1, 2
Suppose l = 2*l. Let o be ((-1)/(-2))/(2/24)*(-180)/(-1800). Factor l + o*t**2 + 0*t.
3*t**2/5
Let y be (5 - 12)*(-27)/33 + -5. Factor 26/11*o**3 - 24/11*o**2 + y*o - 12/11*o**4 + 2/11*o**5 + 0.
2*o*(o - 2)**2*(o - 1)**2/11
Let o(n) = -6*n**3 + 48*n**2 - 110*n. Let s(u) = -2*u**3 + 16*u**2 - 37*u. Let f(m) = 5*o(m) - 14*s(m). Let f(i) = 0. Calculate i.
0, 4
Let s = 3/1754 - -3487/12278. Factor 2/7 + 0*r - s*r**2.
-2*(r - 1)*(r + 1)/7
Let f = 1160/3 - 540. Let t = 154 + f. Let 4/9*j - 2/9*j**2 + t = 0. Calculate j.
-1, 3
Solve 0 + 0*l - 2/19*l**5 - 2886/19*l**3 + 154/19*l**4 - 3042/19*l**2 = 0.
-1, 0, 39
Suppose s = -4*g - 1, 3*s + 6*g - g = 4. Suppose 3*y - 15 = 2*j + 3*j, 5*y = s*j + 25. Factor -2/11*n**5 + 2/11*n - 4/11*n**2 + j + 4/11*n**4 + 0*n**3.
-2*n*(n - 1)**3*(n + 1)/11
Let n = 1 - -7. Let l = -5 + n. What is t in -3*t - 5*t - 2*t**4 + t**4 + 4*t + l*t**3 = 0?
-1, 0, 2
Suppose -28 = -4*u - t, -3*u = 4*t - 7*t - 36. Let p = u + -5. Factor 0 - n - p*n**2 - 9/4*n**3 - 1/2*n**4.
-n*(n + 2)**2*(2*n + 1)/4
Let y(g) be the second derivative of 1/150*g**5 + 2*g**2 + 0 - 5*g + 1/15*g**4 + 4/15*g**3. Let x(u) be the first derivative of y(u). Factor x(v).
2*(v + 2)**2/5
Let i = 165 + -240. Let v be (24/(-28))/(i/(-28) + -3). Solve 0 - 4/3*g**2 + 4/3*g**4 - 8/3*g**3 + v*g = 0 for g.
-1, 0, 1, 2
Factor -16/9 + 76/9*a - 16/9*a**3 - 44/9*a**2.
-4*(a - 1)*(a + 4)*(4*a - 1)/9
Let s = 49 + -45. Suppose 0 = -s*q - 4*b, 12 = 2*q - b + 3. Solve 1/5*d + 0*d**2 - 1/5*d**q + 0 = 0.
-1, 0, 1
Suppose 6*i = -9 - 3. Let n be -2*(i + 1/(-2)). Determine b so that 6*b**4 + 16*b**n + 10*b**5 - 5*b**5 = 0.
-2/7, 0
Suppose -6*d = -453 + 435. Solve 12*x**2 + 3*x + 51/4*x**d + 0 + 15/4*x**4 = 0 for x.
-2, -1, -2/5, 0
Let q(m) be the third derivative of 1/20*m**5 - 1/70*m**7 + 0 + 7*m**2 + 0*m + 0*m**3 + 1/12*m**4 - 1/120*m**6 - 1/336*m**8. Let q(u) = 0. What is u?
-2, -1, 0, 1
Factor -5*v + 0 + 13/2*v**2 - 1/2*v**4 - v**3.
-v*(v - 2)*(v - 1)*(v + 5)/2
Let o = 1 - 1. Let h(x) = -3*x**3 + 6*x**2 + 27*x + 22. Let i be h(-1). Determine d so that -4/3*d**2 + 2/3*d**i + 0 + o*d + 2/3*d**3 = 0.
-2, 0, 1
Let k(q) = 54*q**3 + 26 + 13*q + 48*q**3 - 101*q**3 - 14*q**2 - 2*q. Let r be k(13). Determine h, given that 0 + 4/7*h**2 + r*h - 2/7*h**3 = 0.
0, 2
Let 35*k**4 + 585*k**2 + 225*k**3 + 0 + 5/3*k**5 + 540*k = 0. What is k?
-12, -3, 0
Let x be (1/(-186))/((10/(-8))/1). Let b = 316/1395 - x. Factor b*w**4 + 0*w + 2/9*w**5 - 2/9*w**3 + 0 - 2/9*w**2.
2*w**2*(w - 1)*(w + 1)**2/9
Let r(s) be the first derivative of -2/3*s**2 + 0*s - 13 - 4/9*s**3. Suppose r(a) = 0. Calculate a.
-1, 0
Suppose -5*x = 3*q + 5, 4*x - q - 8 = 5. Let 0 - 93*m**4 - 45*m - 75*m**x + 88*m**4 - 35*m**3 + 0 = 0. Calculate m.
-3, -1, 0
Let l(y) be the second derivative of -y**4/48 - 2*y**3/3 - 15*y**2/8 - 8*y. Factor l(i).
-(i + 1)*(i + 15)/4
Let d(h) be the second derivative of h**6/360 + h**5/60 - h**4/8 + 5*h**3 - 14*h. Let c(o) be the second derivative of d(o). Solve c(j) = 0 for j.
-3, 1
Let -11*r**4 + 3/2*r**5 - 10*r + 2*r**2 + 0 + 35/2*r**3 = 0. What is r?
-2/3, 0, 1, 2, 5
Determine c so that 16/3*c - 56/3*c**2 + 19*c**3 + 0 - 19/3*c**4 + 2/3*c**5 = 0.
0, 1/2, 1, 4
Let n = -3/1009 + 1015/2018. Find b, given that 1/2*b + 1 - n*b**2 = 0.
-1, 2
Let v be (-7)/((-84)/9) - (-7)/(-20). What is n in -2/5*n - 2/5*n**2 + 0 + v*n**4 + 2/5*n**3 = 0?
-1, 0, 1
Let n(y) be the second derivative of -y**4/24 - 49*y**3/12 + 25*y**2/2 + 22*y + 1. Suppose n(r) = 0. Calculate r.
-50, 1
Let w be 370/(-95) + -8 + 12. Determine d, given that 2/19*d**3 + w*d**2 + 0*d + 0 = 0.
-1, 0
Let q = -14 + 22. Factor -q*j**2 + 6*j - 3*j - 9*j**2 + 5*j**2.
-3*j*(4*j - 1)
Let v(z) be the third derivative of 50*z**2 - 5/6*z**4 + 0 - 5/336*z**8 + 1/8*z**6 + 0*z + 0*z**3 - 1/21*z**7 + 1/3*z**5. Solve v(x) = 0.
-2, 0, 1
What is y in 48/5*y + 14*y**4 + 332/5*y**3 - 198/5 + 512/5*y**2 + 4/5*y**5 = 0?
-11, -3, -1, 1/2
Let f(t) be the third derivative of 0*t**4 - 19*t**2 + 0*t - 1/210*t**7 + 0 + 1/336*t**8 + 0*t**3 - 1/120*t**6 + 1/60*t**5. Let f(n) = 0. What is n?
-1, 0, 1
Suppose 0 = 140*n + 133*n - 546. Suppose 10/17*x + 2/17*x**n + 8/17 = 0. Calculate x.
-4, -1
Let w(t) be the second derivative of -t**6/225 - 4*t**5/75 - 4*t**4/15 - 32*t**3/45 - 16*t**2/15 + 63*t. Let w(g) = 0. Calculate g.
-2
Let s(h) = h + 8. Let b be s(-9). Let z(l) = -3*l**4 + 9*l**3 + 6*l**2 - 12*l - 6. Let f(m) = -m**4 + m**2 - 1. Let o(t) = b*z(t) + 6*f(t). Factor o(q).
-3*q*(q - 1)*(q + 2)**2
Let i(q) be the third derivative of -q**5/15 - q**4/12 - q**3/2 - 9*q**2 + q. Let c(z) = -23*z**2 - 10*z - 18. Let t(v) = 6*c(v) - 34*i(v). Factor t(m).
-2*(m - 3)*(m - 1)
Let b(f) be the second derivative of f**4/42 + 10*f**3/3 + 175*f**2 + 210*f. Find v such that b(v) = 0.
-35
Let q(w) be the first derivative of 5*w**3 - 70*w**2 + 45*w + 544. Let q(z) = 0. What is z?
1/3, 9
Suppose -27 - 7*r**2 + 0*r**2 - 1 - 7*r**4 + 9*r**3 + 5*r**4 + r**4 - 45*r = 0. Calculate r.
-1, 4, 7
Let v be (-3)/27 - 6/(-54). Let k(d) be the second derivative of v*d**2 + 0 - 1/12*d**3 + 1/6*d**4 - 3/40*d**5 - 2*d. Solve k(y) = 0 for y.
0, 1/3, 1
Let n be ((-96)/42)/(-4)*(-36)/(-18). Suppose -2/7*h**3 + 8/7*h - 2/7*h**2 + n = 0. What is h?
-2, -1, 2
Let z(i) = -i**3 - i**2 + 1. Let a(p) = 2*p**2 - 22*p**3 + p**2 + 18*p**3 - 1. Let y(b) = -2*a(b) - 2*z(b). Factor y(f).
2*f**2*(5*f - 2)
Factor 2*c**2 - 72/11 + 48/11*c + 2/11*c**3.
2*(c - 1)*(c + 6)**2/11
Let r(c) = 2*c**3 + c**2 - 3. Let m(q) = 3*q**3 + 2*q**2 - q - 3. Let v(y) = 3*m(y) - 4*r(y). Let j be v(-3). Factor 0*x + 2 + 6*x**j - 6*x + 0 - 2*x**2.
2*(x - 1)*(x + 1)*(3*x - 1)
Let g(c) be the first derivative of 5*c**5 + 15*c**4 + 15*c**3 + 5*c**2 - 111. Factor g(u).
5*u*(u + 1)**2*(5*u + 2)
Let o(g) = -7*g**3 + 33*g + 28. Let h(n) = 155*n**3 - 725*n - 615. Let x(w) = 2*h(w) + 45*o(w). Determine t, given that x(t) = 0.
-2, -1, 3
Let i(m) = m**3. Let g(o) = -2*o**2. Suppose -10 = -5*j + f, -7*f - 6 = -3*j - 4*f. Let h(r) = j*i(r) - 2*g(r). Factor h(q).
2*q**2*(q + 2)
Let t(x) be the second derivative of -x**6/150 - 249*x**5/100 - 6889*x**4/20 - 571787*x**3/30 - 295*x. Factor t(s).
-s*(s + 83)**3/5
Let n be 5678/595 + (-2)/5 - 9. Solve -4/7*w**3 - 1/7*w**4 + n*w**5 + 0*w + 0 + 4/7*w**2 = 0.
-2, 0, 1, 2
Factor 52*p**4 + 4*p - 4*p**2 - 36*p**3 + 3*p + 53*p**5 - 29*p**5 - 44*p**5 + p.
-4*p*(p - 1)**3*(5*p + 2)
Let j(r) be the third derivative of r**8/2016 + r**7/210 - 7*r**6/720 + 2*r**2 - 147*r. What is z in j(z) = 0?
-7, 0, 1
Suppose -33*p + 0*p = -132. Let c(u) be the second derivative of u**2 + 0 + 1/6*u**3 + 9*u - 1/12*u**p. Factor c(a).
-(a - 2)*(a + 1)
Let y(b) be the second derivative of -b**6/10 - 9*b**5/10 - 11*b**4/4 - 3*b**3