e 14*i - 42 = 11*i. Let l = 9 - i. Let x(m) = l*k(m) + 8*t(m). Let x(r) = 0. Calculate r.
-2/3
Let y(r) = -8*r**3 - 8*r**2 + 9*r. Let x(c) = c**3 + c**2 - c. Suppose -2*k + 5 = 47. Let b(j) = k*x(j) - 3*y(j). Let b(v) = 0. What is v?
-2, 0, 1
Solve -16*c**3 - 288*c - 152*c + 30 - 40 - 228*c**2 - 86 = 0.
-12, -2, -1/4
Suppose -22 + 44*z + 2 - 341*z**3 + 329*z**3 + 52*z**2 = 0. Calculate z.
-1, 1/3, 5
Factor -60 + 32*o - 1686*o**3 + 33*o + 1681*o**3.
-5*(o - 3)*(o - 1)*(o + 4)
Factor -4 - 26/3*l + 10/3*l**2.
2*(l - 3)*(5*l + 2)/3
Let f(j) = 4*j - 18. Let t be f(7). Factor -11*i**2 - 13*i**2 + 5*i**4 + 19*i**2 - 10*i + t*i**3.
5*i*(i - 1)*(i + 1)*(i + 2)
Suppose -161*v - 5*v + 3 - 3 = 0. Factor 0 + 6/5*t**2 + v*t**3 + 4/5*t - 2/5*t**4.
-2*t*(t - 2)*(t + 1)**2/5
Let z(p) be the second derivative of p**4/60 - p**3/15 - 13*p - 2. Find a, given that z(a) = 0.
0, 2
Let b be -2 - (-5 - ((-92)/12 + 5)). Let r(h) be the first derivative of b*h**2 + 9 + 0*h + 1/9*h**3. Find j, given that r(j) = 0.
-2, 0
Let w = 147 - 136. Determine s, given that 32 + 12*s**5 + 95*s**2 - 80*s - w*s**4 + 35*s**3 - 132 - 24*s**4 - 7*s**5 = 0.
-1, 2, 5
Determine c so that 42*c - 2/13*c**3 - 270/13*c**2 - 274/13 = 0.
-137, 1
Solve -39*h**2 + 5*h**3 - 6*h**3 - 41*h**2 - 190 + 275*h - 4*h**3 = 0 for h.
-19, 1, 2
Suppose 2*r**3 + 9*r**2 - r**2 + 178 - 178 = 0. What is r?
-4, 0
Let r be 45/(-75)*(-2 + 7). Let a be -71 - -68 - (20/r - -1). Suppose -1/3*v**2 - 16/3 + a*v = 0. What is v?
4
Determine z so that 16*z + 48*z + 90 - 23 + 0*z**2 + 189 + 4*z**2 = 0.
-8
Let r(q) be the first derivative of 1/44*q**4 - 1/33*q**6 + 14 + 1/11*q**3 + 1/22*q**2 + 0*q - 3/55*q**5. Determine p so that r(p) = 0.
-1, -1/2, 0, 1
Solve -64/3*p**2 + 4/3*p**3 + 20*p + 0 = 0 for p.
0, 1, 15
Factor -2*n**4 + 10*n**3 - 2*n + 11*n**2 - n**3 - 7*n**3 - 9*n**2.
-2*n*(n - 1)**2*(n + 1)
Let r(q) = q**2 + 20*q - 64. Let b be r(-23). Let n(s) be the first derivative of -2/3*s**3 + 0*s**2 + 0*s - 1 - 2/5*s**b - s**4. Let n(h) = 0. What is h?
-1, 0
Let g(z) = z**2 - z. Suppose 6*y = 14*y + 168. Let o(v) = 10*v**2 - 11*v + 1. Let d(x) = y*g(x) + 3*o(x). Suppose d(h) = 0. What is h?
1/3, 1
Let m = 12 + -12. Suppose m = t - 4*t. Factor -2*s**2 + 2*s + s**3 + t*s**2 - s.
s*(s - 1)**2
Let x(p) be the second derivative of 0 + 8/15*p**3 + 1/75*p**6 + 1/105*p**7 - 4/5*p**2 - 1/30*p**4 - 1/10*p**5 - 41*p. Factor x(g).
2*(g - 1)**3*(g + 2)**2/5
Let m(u) be the second derivative of 0 + 1/60*u**5 + 3*u - 1/6*u**4 + 0*u**3 - 1/2*u**2. Let k(t) be the first derivative of m(t). Factor k(w).
w*(w - 4)
Let b(t) be the first derivative of -t**5/210 - t**4/14 - 5*t**3/21 + 19*t**2/2 - 6. Let c(u) be the second derivative of b(u). Find l, given that c(l) = 0.
-5, -1
Let p(j) be the second derivative of 0 - 3/40*j**5 - 5/8*j**4 + 23*j - 3/4*j**3 + 0*j**2 + 1/20*j**6. Factor p(k).
3*k*(k - 3)*(k + 1)**2/2
Let u(i) = 2*i**3 - i**2 - 4*i - 7. Let g(a) = 3*a**3 - 2*a**2 - 5*a - 8. Let l(m) = -5*g(m) + 6*u(m). Suppose l(n) = 0. What is n?
-2/3, 1
Let f be 58/26 - 36/156. Suppose 9/5*q**f - 3/5*q**3 + 6/5 + 3*q - 3/5*q**4 = 0. What is q?
-1, 2
Suppose -4 - 16 = -5*l. Suppose h = -l*h + 25. Let 2*m**3 + 1 + h*m**4 - 6*m**4 - 1 - m**2 = 0. Calculate m.
0, 1
Determine j, given that -9/2*j**2 - 2 - 13/2*j = 0.
-1, -4/9
Suppose 4*l - j = -1 + 8, -3*l - 4*j + 10 = 0. Factor -1 - 1/4*z**l + z.
-(z - 2)**2/4
Suppose -b - 4*g + 26 - 3 = 0, 4*b + 8 = 4*g. Let 0 + 0*p + 1/2*p**2 - 1/2*p**b = 0. What is p?
0, 1
Let p(v) be the first derivative of -v**4/4 + 7*v**3 - 60*v**2 + 100*v - 52. Factor p(y).
-(y - 10)**2*(y - 1)
Let w(y) be the first derivative of y**4/3 - 4*y**3/3 - 16*y**2 - 44*y - 3. Let t(x) be the first derivative of w(x). Determine n, given that t(n) = 0.
-2, 4
Let y(x) = x**2 + 28*x + 45. Let t be y(-18). Let a = 137 + t. Find q such that 2/5*q - 9/5*q**a + 7/5*q**3 + 0 = 0.
0, 2/7, 1
Let s = -91 + 127. Suppose -m = 8*m - s. What is g in -8/3*g**2 + 0 + m*g**3 - 8/3*g**4 + 2/3*g + 2/3*g**5 = 0?
0, 1
Let c(h) be the third derivative of h**5/90 + 19*h**4/3 + 1444*h**3 - 66*h**2. Solve c(x) = 0 for x.
-114
Let u(y) be the second derivative of -1/54*y**3 + 1/90*y**5 + 1/54*y**4 - 1/270*y**6 - 39*y - 1/18*y**2 + 0 - 1/378*y**7. Solve u(z) = 0.
-1, 1
Let m(d) be the first derivative of -1/60*d**5 + 1/24*d**4 + 2 + 0*d**3 + 0*d + 2*d**2. Let o(x) be the second derivative of m(x). Let o(a) = 0. Calculate a.
0, 1
Let i(m) = 22*m**3 - 10*m**2 - 20*m - 12. Let l = -22 + 27. Let q(j) = 9*j**3 - 4*j**2 - 8*j - 5. Let r(o) = l*i(o) - 12*q(o). Factor r(g).
2*g*(g - 2)*(g + 1)
Let o(v) be the third derivative of 0*v**5 + 0*v**4 + 0*v**3 - 2*v**2 + 0*v + 0 + 1/40*v**6. Find w, given that o(w) = 0.
0
Let g(j) be the third derivative of 11/210*j**6 + 8/245*j**7 + 0 + 4/105*j**5 + 0*j + 1/84*j**4 + 3/392*j**8 + 16*j**2 + 0*j**3. Factor g(m).
2*m*(m + 1)**2*(3*m + 1)**2/7
Let b = -15926 + 15929. Factor 3/2*s**4 - 3/2*s + 3 + 3/2*s**b - 9/2*s**2.
3*(s - 1)**2*(s + 1)*(s + 2)/2
Suppose 3*l + 2 = -2*b, l = -b - 4 + 2. Factor -4*h**3 - 67*h**2 - 64*h**l + 125*h**2 + h**3.
-3*h**2*(h + 2)
Factor 44*x + 5*x**4 + 192*x**3 + 37*x**4 + 30*x**4 + 180*x**2 - 56*x**4.
4*x*(x + 11)*(2*x + 1)**2
Let t = 30 - 28. What is c in -11*c**2 + 11*c**2 - 2*c**2 + c + 3*c - t = 0?
1
Factor 10*t**3 - 37*t**3 + 7*t**3 - 38*t**2 + 60*t + 4*t**4 - 6*t**4.
-2*t*(t - 1)*(t + 5)*(t + 6)
Let z(x) be the third derivative of x**6/270 - x**5/108 + x**4/216 - 9*x**2 - 2*x. Solve z(p) = 0 for p.
0, 1/4, 1
Let m be ((-2)/(-15))/((-72)/(-18)). Let u(g) be the third derivative of 0*g + 0 + 2*g**2 + m*g**5 + 1/12*g**4 + 0*g**3. Factor u(h).
2*h*(h + 1)
Suppose 0 = -2*b + 10*b + 32. Let n be 0/((-96)/42 - b/14). Factor -2*p**2 + 4/5*p + 8/5*p**3 - 2/5*p**4 + n.
-2*p*(p - 2)*(p - 1)**2/5
Let r be ((-1)/5)/(26/((-10920)/90)). Factor -r*w**4 + 0*w + 4/15*w**2 + 2/3*w**3 + 0.
-2*w**2*(w - 1)*(7*w + 2)/15
Let p(v) = v. Let h be p(2). Suppose 0 = 7*d - h*d. Factor -2*c**2 - 2*c**2 + d + 4.
-4*(c - 1)*(c + 1)
Suppose -5*q = -2*p - 248 - 3074, -q + 2*p = -658. Let q*j**3 + 16 - 84*j - 84*j + 588*j**2 - 1352*j**3 = 0. Calculate j.
2/7
Let z(c) be the third derivative of c**7/504 + c**6/48 + c**5/12 - 5*c**4/24 + 25*c**2. Let x(h) be the second derivative of z(h). Let x(v) = 0. What is v?
-2, -1
Let p be 2*(4 - 1)/(3/1)*2. Solve 0 + 0*t - 2/11*t**p + 2/11*t**2 + 0*t**3 = 0.
-1, 0, 1
Let x be (153/18 + -9)*-18. Let s(o) be the first derivative of -1/10*o**5 + x + 0*o - 1/8*o**4 + 0*o**2 + 1/3*o**3. Factor s(p).
-p**2*(p - 1)*(p + 2)/2
Determine y so that -3/4 - 1/2*y + 1/4*y**2 = 0.
-1, 3
Solve 8 - 4/3*q**2 - 2/3*q**3 + 22/3*q = 0.
-4, -1, 3
Suppose -8 = 144*y - 148*y. Let g be (-3 - 0)/(y - (1 + 2)). Factor -1/3*x**4 + 0*x - x**g - 2/3*x**2 + 0.
-x**2*(x + 1)*(x + 2)/3
Suppose -22*t + 25*t = 0. Factor 0 + t*b - 15/2*b**4 - 12*b**3 + 6*b**2.
-3*b**2*(b + 2)*(5*b - 2)/2
Let n(l) = 6*l - 21. Let s be n(4). Let c(k) be the first derivative of -3/2*k**2 - 1/3*k**s + 2*k - 1/5*k**5 + 3/4*k**4 + 7. Factor c(o).
-(o - 2)*(o - 1)**2*(o + 1)
Let r(f) = 12*f**5 + 14*f**4 - 6*f**3 - 51*f**2 - 28*f + 5. Let h(x) = -5*x**5 - 7*x**4 + 3*x**3 + 25*x**2 + 14*x - 2. Let b(c) = -5*h(c) - 2*r(c). Factor b(n).
n*(n - 2)*(n + 1)**2*(n + 7)
Let x(g) = -2*g - 6. Let h be x(-4). Suppose -3*o + 5*d + h = o, d = -4*o + 14. Factor -2*m**3 + o*m**3 - 4*m**3.
-3*m**3
Let s(w) be the first derivative of 4/3*w**3 + 5*w**2 + 4*w - 1/3*w**6 - 8/5*w**5 - 2*w**4 - 27. Suppose s(q) = 0. What is q?
-2, -1, 1
Let r be (2 - 0 - 0)/(2/4). Factor 2*v**r - 6 + 14*v - 3*v**4 + 11*v**4 - 12*v**3 - 4*v**2 - 2*v**5.
-2*(v - 3)*(v - 1)**3*(v + 1)
Suppose -97*b**5 - 3310*b**3 + 128 + 339*b**5 + 4928*b**2 + 414*b**3 - 1567*b - 88*b**4 + 63*b = 0. Calculate b.
-4, 2/11, 2
Let o(k) = k**4 - 17*k**3 + 23*k**2 + 65*k - 77. Let b(i) = -4*i**4 + 52*i**3 - 68*i**2 - 196*i + 232. Let v(g) = -5*b(g) - 16*o(g). What is x in v(x) = 0?
-3, 1, 2
Suppose 145 = 2*k + 3*s, -3*k + 2*s = 3*s - 235. Let h be (1/(-2))/((-56)/k). What is x in -5/7*x**2 + h*x**4 + 0*x**3 + 2/7*x - 2/7*x**5 + 0 = 0?
-1, 0, 1/2, 1, 2
Suppose -2*j - 17 = -4*j + 3*h, -5*j + 68 = h. Let v be ((-2)/(-4))/(j/182). Factor d**4 + 6*d**4 - 2*d - 1 + 2*d**3 - v*d**2 + 1.
d*(d - 1)*(d + 1)*(7*d + 2)
Let i(