r -k**j - 11 - 2*k**3 + 3*k**2 - k + 8 + 4*k.
-3*(k - 1)**2*(k + 1)
Solve -4/5 + 1/5*b**5 + 7/5*b + 2/5*b**2 + 2/5*b**4 - 8/5*b**3 = 0.
-4, -1, 1
Let l(s) = 2*s**2 - s - 65. Let g be l(7). Let f be (-2 - (-108)/g) + (-28)/182. Factor 0 - f*o + 2/3*o**2.
2*o*(o - 3)/3
Suppose -v = -4*u + 16, 401*u - 20 = v + 396*u. Factor 1/2*m**5 + v + 8*m**2 - 32*m + 11/2*m**4 + 18*m**3.
m*(m - 1)*(m + 4)**3/2
Let v be ((-55)/99)/(3/(-9)*1). Factor 2/3 - v*t**2 - 3*t.
-(t + 2)*(5*t - 1)/3
What is a in 1/3*a**3 - 24 - 14/3*a**2 + 20*a = 0?
2, 6
Suppose 4 = -4*o + 24. Let b(r) = r**2 + 1. Let k(i) be the first derivative of 2*i**3 + 5*i + 2. Let a(l) = o*b(l) - k(l). Factor a(q).
-q**2
Factor 2*j**2 - 2/3*j**4 + 4/3 - 10/3*j + 2/3*j**3.
-2*(j - 1)**3*(j + 2)/3
Let k(u) = u**2 + 5*u - 12. Let n be k(-7). Factor 4*a - n*a**3 - 10*a**3 + 4*a**3 + 4*a**5.
4*a*(a - 1)**2*(a + 1)**2
Let j be (528/60 - 8)/((-30)/(-50)). What is o in 2/3*o**4 - j*o**2 - 2/3*o**5 - 2/3*o + 4/3*o**3 + 2/3 = 0?
-1, 1
Suppose -2*t + 23 = -1. Suppose -12*r = -8*r - t. Determine n, given that 0*n**r - 15*n**2 - 6*n**3 + 12*n**2 = 0.
-1/2, 0
Let h(y) be the second derivative of -9*y + 0 + 0*y**2 - 1/60*y**6 + 0*y**3 - 1/24*y**4 + 1/20*y**5. Suppose h(g) = 0. What is g?
0, 1
Suppose -189*m = -20*m + 7*m. Let 0 - 3/7*y**2 - 1/7*y**3 + m*y = 0. What is y?
-3, 0
Let b(k) be the third derivative of k**5/450 + k**4/30 - 8*k**3/9 + 2*k**2 + 246. Factor b(u).
2*(u - 4)*(u + 10)/15
Suppose 26 = 10*h - 14. Let j(b) be the third derivative of -1/20*b**5 + 0*b - 3*b**2 - 1/24*b**h + 0 + 1/3*b**3. Determine x, given that j(x) = 0.
-1, 2/3
Let x(v) = v. Let o(g) = -g**3 - 4*g**2 + 7*g + 9. Let m be o(-5). Let k(t) = t**4 + 4*t**3 + 4*t**2 + 3*t. Let c(j) = m*k(j) + 3*x(j). Solve c(y) = 0 for y.
-2, 0
Let a(x) be the third derivative of -x**6/540 + x**5/270 + 65*x**4/108 - 25*x**3/3 + 17*x**2. Suppose a(c) = 0. Calculate c.
-9, 5
Let n = 31 - 51. Let l = -16 - n. Factor 12*h + 11 - 4 + 1 + 0*h + l*h**2.
4*(h + 1)*(h + 2)
Let x be 3/(54/(-12))*-285. Let j = 195 - x. Factor 0*n**4 + 0 + 0*n**2 - 1/3*n**3 + 1/3*n**j + 0*n.
n**3*(n - 1)*(n + 1)/3
Suppose u + 4*z + 0*z - 10 = 0, 3*z - 16 = -5*u. Let d be ((-15)/(-45))/(u/18). Suppose 10*s**2 + 2*s**4 + s**2 + s + 7*s + 5*s**2 + 10*s**d = 0. What is s?
-2, -1, 0
Let q be (-5)/((-20)/256) - (0 - -1). Find j, given that j**4 - 63 - j**5 + q = 0.
0, 1
Let q(i) = -i**2 + 5*i + 11. Let p be q(6). Let o be 35/14*(-12)/(-10). Factor -h**4 + p*h**4 - h**5 - o*h**4.
-h**4*(h - 1)
Let s(j) be the first derivative of 2/3*j**3 + 6*j + 2 - 4*j**2. Factor s(g).
2*(g - 3)*(g - 1)
Let i(y) = -y**3 + 2*y. Let x(p) = 30*p**3 + 240*p**2 + 2830*p. Let t(k) = -25*i(k) - x(k). Factor t(w).
-5*w*(w + 24)**2
Let z be -2 - (-7 - 0) - (0 + 3). Determine h, given that -14*h + 3*h**z + 14*h - 30 + 18 = 0.
-2, 2
Let c(h) = 7*h**2 + 27*h + 50. Let r(w) = 10*w**2 + 40*w + 76. Let i(j) = 7*c(j) - 5*r(j). Factor i(a).
-(a + 5)*(a + 6)
Let q = 69 - 68. Let a be 2 + q - -1 - 2. Determine k, given that -2/9 - 4/9*k + 2/9*k**4 + 4/9*k**3 + 0*k**a = 0.
-1, 1
Let w be (33/(-55))/1 + 2 + 290/(-225). Find p such that -1/9*p - 2/9 + w*p**2 = 0.
-1, 2
Let j(f) be the third derivative of f**8/672 - f**7/140 + f**5/30 - 30*f**2 + 2. Factor j(v).
v**2*(v - 2)**2*(v + 1)/2
Suppose -2*n + 3*n + 10 = 4*c, -5*c - 5*n = 0. Suppose -2 = p - c*p. Factor 4/3*h**p - 2/3*h + 0 - 2/3*h**3.
-2*h*(h - 1)**2/3
Factor 1/3*h**4 - 1/3*h**2 + 0*h + 1/3*h**3 - 1/3*h**5 + 0.
-h**2*(h - 1)**2*(h + 1)/3
Let k be (12/2)/(38/19). Factor -3*r**3 - k*r**2 + 4*r + 6*r**4 - 3*r**2 + 3*r**5 - 4*r.
3*r**2*(r - 1)*(r + 1)*(r + 2)
Let u = -121 + 123. Let c(o) be the first derivative of -1/20*o**4 + 1/10*o**u - 8 - 2/15*o**3 + 2/5*o. What is q in c(q) = 0?
-2, -1, 1
Let p(v) be the second derivative of 5*v**4/12 + 40*v**3 + v - 46. Let p(t) = 0. What is t?
-48, 0
Let f(j) = 55*j**3 + 30*j**2 - 4*j - 16. Let y(w) = -55*w**3 - 30*w**2 + 5*w + 20. Let z(p) = 5*f(p) + 4*y(p). What is k in z(k) = 0?
-6/11, 0
Solve 0*l**3 - 3744 - 83*l + 37*l**2 + 3792 - 2*l**3 = 0 for l.
1, 3/2, 16
Suppose 5*j - l = -1 + 14, 3*l = -5*j + 21. Suppose -3*g**3 - j + 2*g + 4*g - 3*g + 3*g**2 = 0. Calculate g.
-1, 1
Let g(i) be the second derivative of i**4/24 - 13*i**3/12 + 15*i**2/2 + 85*i. Factor g(t).
(t - 10)*(t - 3)/2
Let c(y) be the second derivative of y**7/21 + 32*y**6/15 + 111*y**5/5 - 272*y**4/3 + 289*y**3/3 - 142*y + 1. Factor c(b).
2*b*(b - 1)**2*(b + 17)**2
Factor -8/3 + 2/15*w**2 + 38/15*w.
2*(w - 1)*(w + 20)/15
Let a be 6*(-15)/18*-1. Suppose 0 = a*x - s - 5, s - 4*s = -3*x - 9. Find w, given that 2 - 2 + 6 + 17*w + 3*w**x - 8*w = 0.
-2, -1
Let r(k) = -3*k**3 - 56*k**2 - 180*k + 4. Let c(f) = -3*f**3 - 54*f**2 - 183*f + 3. Let n(b) = -4*c(b) + 3*r(b). Suppose n(o) = 0. Calculate o.
-8, 0
Let v(w) = -11*w**2 - 389*w - 392. Let o(c) = -245*c**2 - 8555*c - 8625. Let x(q) = -2*o(q) + 45*v(q). Factor x(f).
-5*(f + 1)*(f + 78)
Suppose 0 = -o - 0 + 2, 2*o = 4*w - 28. Determine f, given that -w*f**5 + 17*f**3 + 13*f**5 - 15*f**4 - 2*f**3 - 5*f**2 = 0.
0, 1
Let y(l) = 5*l**5 + 164*l**4 + 939*l**3 + 2153*l**2 + 1805*l + 432. Let a(x) = x**5 - x**3 - x**2 - x. Let f(z) = -10*a(z) - 2*y(z). Let f(u) = 0. Calculate u.
-6, -3, -1, -2/5
Suppose -6 = -3*b - 5*d + 7*d, -d = -4*b + 13. Let t(n) be the third derivative of 0*n**b - 1/60*n**5 + 0*n + 0*n**3 + 5*n**2 + 0 - 1/40*n**6. Factor t(h).
-h**2*(3*h + 1)
Let m(g) = 5*g**4 - 17*g**3 - 52*g**2 + 2. Let n(q) = 35*q**4 - 120*q**3 - 365*q**2 + 15. Let d(r) = -15*m(r) + 2*n(r). Determine x so that d(x) = 0.
-2, 0, 5
Let g(b) be the second derivative of -13*b**4/66 - 28*b**3/33 - 4*b**2/11 - 30*b. Find h, given that g(h) = 0.
-2, -2/13
Suppose -2/5*t**3 - 8/5*t + 14/5*t**2 - 24/5 = 0. Calculate t.
-1, 2, 6
Let d = -128 - -130. Factor 28*h + 41*h**2 - 2 + 6 + 16*h**3 - 4*h - 5*h**d.
4*(h + 1)**2*(4*h + 1)
Let d = 8484 + -5090399/600. Let c(v) be the third derivative of -1/300*v**5 + 1/30*v**3 + d*v**6 - 1/120*v**4 - v**2 + 0*v + 0. Factor c(p).
(p - 1)**2*(p + 1)/5
Let w(n) be the second derivative of 1/190*n**5 - 1/114*n**4 + 0*n**2 - 2*n + 0*n**3 + 0. Determine i so that w(i) = 0.
0, 1
Let a(i) = -9*i**2 + 3*i + 5. Let g(u) = -3*u - 2. Let f(k) = k**2 + 5*k + 3. Let s(c) = 4*f(c) + 7*g(c). Let n(q) = -6*a(q) - 14*s(q). Factor n(z).
-2*(z + 1)**2
Let f be (-16)/10 + 2 - 0. Let w(u) = 3*u**3 - u**2 + u. Let i be w(1). Determine n, given that f*n**2 - 2/5 + 2/5*n**i - 2/5*n = 0.
-1, 1
Let a be 4/18 - 112/18. Let r = 8 + a. Find m, given that r*m**4 + 3*m**2 - 13*m**2 + 2*m + 8*m**2 - 2*m**3 = 0.
-1, 0, 1
Factor 0 - 12/5*b - 1/5*b**4 + 4/5*b**2 + 3/5*b**3.
-b*(b - 3)*(b - 2)*(b + 2)/5
Let s(j) be the second derivative of 0 + 7*j + 1/6*j**4 + 0*j**3 - j**2. Determine z so that s(z) = 0.
-1, 1
What is y in -99372/5 + 1092/5*y - 3/5*y**2 = 0?
182
Let r(b) = -3*b - 8. Let z be r(-2). Let n be z/6 - (6 + (-1290)/198). Solve 0 - 4/11*a**2 + 2/11*a**3 + n*a = 0.
0, 1
Suppose -7*m + m = -90. Find x, given that 0*x**5 - 5*x + 15*x**2 - 9*x**4 - 5*x**5 - 5*x**3 + m*x - 6*x**4 = 0.
-2, -1, 0, 1
Solve -5/8*j**2 - 3/4*j + 1/8*j**4 + 0 + 1/4*j**3 = 0 for j.
-3, -1, 0, 2
Let o(a) be the second derivative of a**7/18 + 23*a**6/90 - 11*a**5/30 - 2*a**4/9 - 3*a - 52. Let o(v) = 0. Calculate v.
-4, -2/7, 0, 1
Suppose -11 + 56 = 5*x. Suppose -d + 2*i + x = 0, 2*d - 2*i + 6*i = -6. Find v, given that 5*v**2 - v**d - 6*v**3 + 5*v - 5 + 2*v**3 = 0.
-1, 1
Let h(g) be the second derivative of 4*g**2 - 1/2*g**3 + 0 - 5/12*g**4 - 8*g. Let s(x) = 9*x**2 + 5*x - 16. Let o(f) = -5*h(f) - 3*s(f). Factor o(q).
-2*(q - 2)*(q + 2)
Let k(t) be the first derivative of -2*t**3/39 - 11*t**2/13 - 300. Factor k(m).
-2*m*(m + 11)/13
Let o(h) be the first derivative of -32/3*h**3 - 44 + h**4 - 18*h**2 + 0*h. Determine k so that o(k) = 0.
-1, 0, 9
Let l(h) be the first derivative of -11 + 1/12*h**2 - 1/24*h**4 - 1/18*h**3 + 1/6*h. Factor l(n).
-(n - 1)*(n + 1)**2/6
Find v, given that 0*v + 0 + 1/3*v**3 + 2/3*v**2 = 0.
-2, 0
Let x(b) = -2*b**2 + 45*b - 17. Let g be x(22). Solve -7*q**2 - g + 5 - 4*q + 5*q = 0 for q.
0, 1/7
Let 10/7*g**2 - 2/7*g**3 - 16/7*g + 8/7 = 0. Calculate g.
1, 2
Let q(m) = 34 + 17*m - 14*m**2 + 4*m**2 - 20 - 17 + m**3. Let x be q(8). Factor 