
Suppose 9 - 45 = -3*z. Suppose 8*q + 3*q - 8*q + z*q**2 = 0. What is q?
-1/4, 0
Let t(m) be the first derivative of 2*m**7/21 + 4*m**6/15 + m**5/5 + 7*m - 10. Let s(f) be the first derivative of t(f). Factor s(l).
4*l**3*(l + 1)**2
Let b(w) be the first derivative of -3/20*w**5 + 3*w - 3/2*w**2 - 8 - 3/2*w**3 - 3/4*w**4. Let s(n) be the first derivative of b(n). Factor s(l).
-3*(l + 1)**3
Let y be (2/(-6) - 12/18) + 62. Determine k, given that 4*k**5 + 44*k**3 + 5*k**4 - y*k**2 - 36*k**4 + 41*k**2 + 3*k**4 = 0.
0, 1, 5
Let c(i) = 7*i + 2. Let s be c(4). Let 28*r + 5*r**3 + 54*r + 120*r**2 - s*r**4 - 29*r**5 + 34*r**5 - 2*r = 0. What is r?
-1, 0, 4
Determine q so that 196*q**4 + 12*q**5 + 1760/3*q + 2104/3*q**3 + 976*q**2 + 128 = 0.
-12, -2, -1, -2/3
Let a(u) = 15*u**2 - 180*u + 3. Let f(m) = -m**2 + 9*m - 1. Let v(l) = a(l) + 18*f(l). Determine s, given that v(s) = 0.
-5, -1
Let g be ((-12)/10)/(117/(-210)) - (25 - 23). Let 10/13*l**2 - g*l**3 - 6/13*l - 18/13 = 0. Calculate l.
-1, 3
Let s(l) be the first derivative of -1/8*l**2 + 1/10*l**5 + 3/16*l**4 + 0*l - 18 + 0*l**3. Find z, given that s(z) = 0.
-1, 0, 1/2
Suppose -463 + 139*b + 2*b**2 + 96*b + 13 - 7*b**2 = 0. Calculate b.
2, 45
Let j be (-2)/5 - (24/(-10) - 2). Suppose 4*f = 4*n - 8, 3*n - 2*f = -j*f - 4. Solve 2*v**4 - 2/3*v**3 - 2/3*v**5 + 4/3*v + n - 2*v**2 = 0 for v.
-1, 0, 1, 2
Let i(l) be the second derivative of -1/40*l**5 - 38*l + 1/252*l**7 + 1/180*l**6 - 1/72*l**4 + 0 + 0*l**2 + 1/18*l**3. Factor i(o).
o*(o - 1)**2*(o + 1)*(o + 2)/6
Let i be 1/6 + (147/(-18))/7. Let u(k) = -k**4 + k**3 - 1. Let w(l) = -4*l**4 + 30*l**3 - 58*l**2 + 40*l - 6. Let j(b) = i*w(b) - 2*u(b). Factor j(v).
2*(v - 2)**2*(v - 1)*(3*v - 1)
Let a = -3 - 1. Let n(l) = -4*l**2 + 8*l + 21. Let w(q) = -5 - 3*q**2 + 3*q**2 - 2*q + q**2. Let r(z) = a*n(z) - 18*w(z). Suppose r(c) = 0. What is c?
-1, 3
Let i(g) be the second derivative of -g**8/392 + g**7/735 + g**6/210 + 6*g**2 - 5*g. Let z(t) be the first derivative of i(t). Factor z(k).
-2*k**3*(k - 1)*(3*k + 2)/7
Let f = -741 - -746. Let k(r) be the second derivative of -1/15*r**4 + 0*r**2 - 1/25*r**f + 0 + 2*r + 0*r**3. Factor k(v).
-4*v**2*(v + 1)/5
What is a in -24/13 + 46/13*a - 20/13*a**2 - 2/13*a**3 = 0?
-12, 1
Let q = 50307/23 - 2187. Solve 0*c**3 + 0 + 4/23*c - q*c**2 + 2/23*c**4 = 0 for c.
-2, 0, 1
Let g(c) be the first derivative of -c**4 + 4*c**3/3 + 52*c**2 + 96*c - 430. Factor g(y).
-4*(y - 6)*(y + 1)*(y + 4)
Let z be 0*(2/(24/18))/(-3). Let r(w) be the first derivative of z*w + 4 + 1/3*w**3 - 3/2*w**2. Find o such that r(o) = 0.
0, 3
Let m(w) be the second derivative of -1/6*w**3 - 3/10*w**5 + 2/15*w**6 + 9*w - 1/42*w**7 + 1/3*w**4 + 0 + 0*w**2. Determine l so that m(l) = 0.
0, 1
Let u(m) = 9*m**2 - 45*m + 120. Let v(q) = -11*q**2 + 46*q - 120. Let c(o) = 4*u(o) + 3*v(o). Let c(j) = 0. Calculate j.
4, 10
Suppose 4*z + 0*z - 46 = 5*b, z + 1 = -5*b. Factor -2*h**2 + 5*h**2 + 3*h**5 - 15*h**2 + 12*h**4 + z*h**3 - 12*h.
3*h*(h - 1)*(h + 1)*(h + 2)**2
Let i(p) be the first derivative of p**3/3 - 20*p**2 - 95*p - 16. Let m(k) = -2*k**2 + 60*k + 142. Let c(g) = -8*i(g) - 5*m(g). What is u in c(u) = 0?
-5
Let y(w) be the second derivative of 5*w**8/336 + w**7/21 - w**5/6 - 5*w**4/24 + 17*w**2/2 + 7*w. Let x(v) be the first derivative of y(v). Factor x(f).
5*f*(f - 1)*(f + 1)**3
Let c be (3 - -1)/(72/16). Determine v so that -2/3*v**3 - c*v**4 + 10/9*v**2 + 2/3*v - 2/9 = 0.
-1, 1/4, 1
Let v = -9 - -16. Let r be v/14*(-1)/(-2). Determine c, given that -1/2 + r*c + 1/4*c**2 = 0.
-2, 1
Let y(o) = -8 + 7 - o**3 + 2*o**4 - 3*o**4. Let f(h) = -9*h**5 + 23*h**4 - 4*h**3 - 18*h**2 + 15*h - 1. Let t(i) = -f(i) - 2*y(i). Factor t(b).
3*(b - 1)**3*(b + 1)*(3*b - 1)
Let v(c) = 4*c**2 + 52*c - 296. Let l(h) = 8*h**2 + 103*h - 594. Let d(i) = -4*l(i) + 9*v(i). Suppose d(w) = 0. Calculate w.
-18, 4
Determine t, given that -27/4 + 7*t - 1/4*t**2 = 0.
1, 27
Let w be 2/5 + (-120)/(-75). Factor -2 - 1/2*r**2 - w*r.
-(r + 2)**2/2
Suppose 36/7*u**2 - 4/7*u**3 - 96/7*u + 64/7 = 0. Calculate u.
1, 4
Let c(m) be the first derivative of -m**4/6 - 4*m**3/3 - 3*m**2 + 16*m + 11. Let g(d) be the first derivative of c(d). Solve g(b) = 0.
-3, -1
Suppose 7*m + 2464 = 5*m. Let n be m/(-6) + (-4)/(-6). Solve -473*u**2 - 217*u**2 + n*u**2 - 107*u - 16 - 69*u = 0.
-2/11
Suppose -4*t = 57 - 13. Let z = t + 14. Factor y**3 - 4*y**3 + z*y**5 + 0*y**3.
3*y**3*(y - 1)*(y + 1)
Let q be ((-2)/(-12))/(6/156) - 3. Let x be 3 + (-29)/9 + (-64)/(-72). Factor 2/3*i**4 - q + x*i**2 - 2*i + 2*i**3.
2*(i - 1)*(i + 1)**2*(i + 2)/3
Let x = 7 + -3. Factor -12*i**3 - x*i + 2*i**2 - 8*i + 4*i - 22*i**2.
-4*i*(i + 1)*(3*i + 2)
Let a(g) be the second derivative of -g**4/16 - 15*g**3/8 + 6*g**2 - 441*g. Let a(o) = 0. What is o?
-16, 1
Let q = 46148/5 + -9229. Let l = 518/5 - 103. Determine r so that -q*r**3 + l*r - 6/5*r**2 + 6/5*r**4 + 0 = 0.
-1, 0, 1/2, 1
Let p(n) = -11*n + 55. Let a be p(5). Let d(g) be the second derivative of 1/12*g**3 - 7*g + 1/48*g**4 + 0*g**2 + a. Suppose d(t) = 0. Calculate t.
-2, 0
Suppose 3*o - 4*f + 7 = 0, -o + f = -2*f + 9. Suppose 5*c - 22 = -t, -450*t + 454*t - 8 = 0. Factor 0*h**2 - 2/7*h**c - 6/7*h**o + 8/7*h + 0.
-2*h*(h - 1)*(h + 2)**2/7
Let h(s) be the second derivative of -8/21*s**3 + 1/6*s**4 - 24*s + 0 - 16/7*s**2 - 1/70*s**5. Factor h(l).
-2*(l - 4)**2*(l + 1)/7
Let u = 1361/6810 + 1/6810. Let z = -2 - -6. Suppose -u*f - 7/5*f**2 - 13/5*f**z - 4/5*f**5 + 0 - 3*f**3 = 0. What is f?
-1, -1/4, 0
Let p(h) = 2*h**4 + 3 - 3*h**3 - 7*h**5 - 3. Let g(y) = -6*y**4 + 265*y**3 + 259*y**3 + 21*y**5 - y**5 - 516*y**3. Let o(n) = -3*g(n) - 8*p(n). Factor o(z).
-2*z**4*(2*z - 1)
Let m(q) be the second derivative of -1/84*q**4 + 1/14*q**3 - 1/7*q**2 + 0 + 10*q. Factor m(u).
-(u - 2)*(u - 1)/7
Let h(x) be the first derivative of 16*x**3/3 + 210*x**2 + 104*x + 29. Factor h(c).
4*(c + 26)*(4*c + 1)
Let a be 66/(-165) - 60/(-25). Suppose 0 - 9/4*g**4 + 3/8*g**5 + 0*g - 3/2*g**a + 27/8*g**3 = 0. Calculate g.
0, 1, 4
Suppose -2990 = -13*t + 468. Let a = -263 + t. Factor 3/2*d**a - 6*d**2 + 15/2*d - 3.
3*(d - 2)*(d - 1)**2/2
Suppose -20 = -2*g + 4*y, -45*g = -44*g + 4*y + 20. Solve -4*z**4 - 7/2*z**3 + 0*z - 3/2*z**5 + g - z**2 = 0.
-1, -2/3, 0
Let v(n) = 9*n**3 - 6*n**2 - 3*n. Let r(b) = b**4 + 9*b**3 - 6*b**2 - 4*b. Let x(q) = -3*r(q) + 4*v(q). Suppose x(u) = 0. Calculate u.
0, 1, 2
Suppose 3*r = x - 22, -54*r + 52*r - 24 = -3*x. Let h = 59/345 - -2/69. Solve -h*d**x - 1/5*d**2 + 2/5 - 3/5*d + 3/5*d**3 = 0 for d.
-1, 1, 2
Let j(t) be the third derivative of -t**7/42 - 7*t**6/24 + t**5/12 + 35*t**4/24 - 2*t**2 - 14. Factor j(a).
-5*a*(a - 1)*(a + 1)*(a + 7)
Find f, given that 144/7 + 374/7*f**2 - 10/7*f**3 - 508/7*f = 0.
2/5, 1, 36
Factor 14/15*g**3 - 8/5*g - 6/5*g**2 + 8/15.
2*(g - 2)*(g + 1)*(7*g - 2)/15
Find i, given that 8/17*i**3 - 8/17*i - 2/17*i**4 + 8/17 - 6/17*i**2 = 0.
-1, 1, 2
Let a be (-2 + -2)*(1 - -1). Let p = -6 - a. What is g in 11*g**p - 1 + 6*g - 14*g**2 - 2 = 0?
1
Let z(j) be the first derivative of -j**3/3 + 9*j**2/2 - 20*j - 91. Factor z(l).
-(l - 5)*(l - 4)
Let f(d) be the first derivative of -d**3/3 + 4*d**2 + 16*d + 3. Let j(b) = -4*b**2 + 24*b + 48. Let c(m) = 21*f(m) - 6*j(m). Suppose c(s) = 0. What is s?
-4
Let -2*a**2 + 95 - 5*a - 67*a**2 + 5*a**3 - 26*a**2 = 0. Calculate a.
-1, 1, 19
Let b be 6/8 - 18/(-8). Let f(n) be the first derivative of 14/9*n**b - 2/3*n**2 + 8 + 0*n. Find x, given that f(x) = 0.
0, 2/7
Suppose 0 = 3*c - 3, 3*o - c = 59. Let g = 24 - o. What is r in 3*r**2 + 8*r - g - 2 - 5*r = 0?
-2, 1
Let q(l) be the second derivative of -l**6/30 + l**4/6 - l**2/2 + 3*l - 1. Find w, given that q(w) = 0.
-1, 1
Suppose -4*f = 5*z - 12, z - 4*z - 2*f + 8 = 0. Suppose -z*y - 6*y = 0. Find o, given that -o**3 + 0 - 1/2*o**2 + y*o - 1/2*o**4 = 0.
-1, 0
Let z(f) = -633*f**2 - 2533*f - 2. Let v be z(-4). Factor 0 + 0*j - 1/4*j**v.
-j**2/4
Let f be (-18)/(-6) + (1 - 0/(-3)). Factor 4 - f*v**2 + 6 + 9*v**2 - 15*v.
5*(v - 2)*(v - 1)
Suppose -23*h + 172 = -27*h. Let x = h - -43. What is i in 3/5*i - 6/5*i**2 + 3/5*i**3 + x = 0?
0, 1
Suppose q - 11 = -d, 29 = 4*d + 4*q - 3*q. Let a(b) = -5*b + 28. Let h be a(4). Let d - 4*c**2 - 2*c**4 + 6*c + 0*c**2 + 0*c**4 + 2