2*(f - 1)*(f + 1)**2/5
Let d(c) = c**4 - c**2. Let x(o) = -6*o**2 - o + 1. Let m be x(1). Let g(z) = -9*z**4 + 6*z**3 + 3*z**2. Let t(b) = m*d(b) - g(b). What is p in t(p) = 0?
0, 1
Let a be 5*(-2)/4*(-1040)/975. Let -2*p + a*p**2 - 2/3*p**3 + 0 = 0. What is p?
0, 1, 3
Let k be (-5)/((-48)/(-32)*-3). Factor -k + 4/3*x - 2/9*x**2.
-2*(x - 5)*(x - 1)/9
Suppose -z = 2 - 6. Let a(d) = -d**2 - 1 + 6*d - 2*d - z*d. Let w(g) = 3*g**3 - 12*g**2 - 15. Let s(m) = 15*a(m) - w(m). Factor s(r).
-3*r**2*(r + 1)
Let m(q) be the second derivative of q**7/42 + 41*q**6/30 + 72*q**5/5 + 206*q**4/3 + 536*q**3/3 + 264*q**2 + 132*q. Factor m(y).
(y + 2)**4*(y + 33)
Suppose -3*u = -2 - 4. Determine a so that 11*a - 3*a - 5*a - 6 + 3*a**u = 0.
-2, 1
Solve 62*o + 76786 + 473*o + 292*o - 119*o - 14128 + 2*o**2 = 0.
-177
Let f = 14213/4 + -3551. What is k in 3/4*k**4 + f*k**3 + 0*k + 3/2*k**2 + 0 = 0?
-2, -1, 0
Factor 0 + 12/5*s - 1/5*s**2.
-s*(s - 12)/5
Let n be (-480)/640 + (-138)/(-56). Factor -4*j**2 - n*j + 16/7.
-4*(j + 1)*(7*j - 4)/7
Let n be (-1 - 2) + -1*(-3 - 1). Factor -f**2 + 6 + 0 - n + 6*f**2 - 10*f.
5*(f - 1)**2
Let m(p) be the first derivative of -2*p**6/3 + 16*p**5 - 97*p**4 - 248*p**3/3 + 680*p**2 - 800*p + 156. Suppose m(k) = 0. Calculate k.
-2, 1, 10
Let r(n) = -n**2 + 9*n - 18. Let a be r(10). Let b = 310/11 + a. Factor 0 + 2/11*f**3 + 0*f**2 + 0*f + b*f**4.
2*f**3*(f + 1)/11
Let d(v) be the third derivative of -v**6/40 + v**5/4 - v**4/2 - 44*v**2. Determine w, given that d(w) = 0.
0, 1, 4
Let u(t) be the first derivative of t**6/33 + 114*t**5/55 + 420*t**4/11 + 1568*t**3/33 + 625. What is f in u(f) = 0?
-28, -1, 0
Let o(z) = -z**2 + 11*z + 64. Let a be o(15). Let d = -21 + 107/5. Factor -18/5*k**2 + 2*k**3 - 4/5 + 14/5*k - d*k**a.
-2*(k - 2)*(k - 1)**3/5
Let t(z) be the third derivative of -z**6/60 - 46*z**5/5 - 2116*z**4 - 778688*z**3/3 + 309*z**2. Suppose t(n) = 0. Calculate n.
-92
Suppose -9*d - 1650 + 6519 = 0. Solve 70*a + 227*a**4 + 600*a**3 - 80 + 520*a**2 - d*a**4 - 230*a - 811*a**4 = 0 for a.
-2/5, 2/3
Let m(h) be the first derivative of 5*h**4/6 + 2*h**3/3 - 5*h**2/3 - 2*h - 41. Factor m(s).
2*(s - 1)*(s + 1)*(5*s + 3)/3
Let b(c) = 199*c - 4573. Let l be b(23). What is v in 0*v**2 - 6/7*v**5 - 30/7*v**3 + 0 - 36/7*v**l + 0*v = 0?
-5, -1, 0
Factor 10/13*q**2 - 18/13 + 6/13*q + 2/13*q**3.
2*(q - 1)*(q + 3)**2/13
Let t(b) be the third derivative of 9*b**7/350 + 39*b**6/200 - 59*b**5/100 - 231*b**4/40 + 121*b**3/5 + 6*b**2 + 6*b. Suppose t(q) = 0. Calculate q.
-11/3, 1, 2
Find l such that -5*l**2 + 4/5*l**3 + 38/5*l - 8/5 = 0.
1/4, 2, 4
Let c(m) be the first derivative of 0*m**2 - 16 - 1/10*m**5 + 1/6*m**3 - 1/8*m**4 + 1/12*m**6 + 0*m. Find w such that c(w) = 0.
-1, 0, 1
Suppose 110*h + 26 = 123*h. Suppose 4/9*r + 0 + 2/3*r**h = 0. Calculate r.
-2/3, 0
Let p(w) = 25*w - w**2 + 2*w**2 - 5*w**2 + 69 + 5*w**2. Let t be p(-22). Determine q so that 1/2*q**t + 0 + 2*q**2 + 2*q = 0.
-2, 0
Find g, given that -16/15*g - 44/5*g**3 - 74/15*g**4 - 88/15*g**2 + 0 - 14/15*g**5 = 0.
-2, -1, -2/7, 0
Let o = -48 - -47. Let n be 78/36 + -1 + o. Determine x, given that -1/3 + n*x**2 + 1/6*x = 0.
-2, 1
Suppose 7*b + 65 = 20*b. Let o(a) be the first derivative of 1/12*a**6 + 0*a + 1/10*a**b + 0*a**4 + 0*a**2 + 0*a**3 - 1. Suppose o(s) = 0. What is s?
-1, 0
Let b(n) be the third derivative of 1/40*n**6 - 1/5*n**5 + 0*n + 3/8*n**4 + 0 - 9*n**2 + 0*n**3. Factor b(j).
3*j*(j - 3)*(j - 1)
Let b(j) be the third derivative of 0*j - 2*j**2 + 0*j**3 + 0 - 1/90*j**5 + 0*j**4 - 1/360*j**6. Factor b(p).
-p**2*(p + 2)/3
Solve -48*a**2 - 53*a**2 + 143*a**2 - 41*a**2 - 31*a + 85*a = 0.
-54, 0
Let c(q) be the third derivative of 0 - 3/4*q**3 - 1/80*q**6 + 1/1680*q**7 + 7/96*q**5 + 0*q + 1/16*q**4 + 33*q**2. Suppose c(r) = 0. What is r?
-1, 1, 6
Let b = -4/741 - -166/247. Find t, given that -5/9*t + 1/9*t**2 - b = 0.
-1, 6
Let l(q) = -q**3 - q - 2. Let f(r) = r**3 + 10*r**2 - 17*r - 26. Let p(x) = -2*f(x) + 2*l(x). Factor p(o).
-4*(o - 2)*(o + 1)*(o + 6)
Let p(l) be the first derivative of l**3/3 - l**2/2 - 12*l - 495. Factor p(q).
(q - 4)*(q + 3)
Let u = 489/11 - 967/22. Find a such that -5/4*a**4 + a**2 + a - u*a**3 + 1/4 - 1/2*a**5 = 0.
-1, -1/2, 1
Let y(j) be the first derivative of -13 + 1/10*j**5 + 0*j**2 + 1/48*j**6 + 1/12*j**3 + 0*j + 5/32*j**4. Factor y(w).
w**2*(w + 1)**2*(w + 2)/8
Let j be (-7)/4*(-4)/(-27). Let o = 53/108 - j. Factor 3/4*k**3 - 3/4*k - o + 3/4*k**2.
3*(k - 1)*(k + 1)**2/4
Let b be (24 - 25)/((-1)/(-4)*-2). Let r(k) = -k**2 + 4. Let s be r(-2). Let 0 + s*x + x**3 + 2/7*x**b = 0. What is x?
-2/7, 0
Let i(q) = q**2 - 118*q + 2188. Let s be i(95). Factor 2 + 10/3*n + 2/9*n**s + 14/9*n**2.
2*(n + 1)*(n + 3)**2/9
Let g be (2/3)/(6/18). Suppose n = -0 + 2. Factor 0*c**n + 8*c - 3*c**2 - 4*c**2 + 3*c**g.
-4*c*(c - 2)
Factor 38*m**2 - 19*m**2 - 35*m**2 + 2*m**3.
2*m**2*(m - 8)
Let g = 43 - 44. Let n be (g/(-18))/(2/16). Factor -2/3*j**2 + n*j**3 - 4/9*j + 0.
2*j*(j - 2)*(2*j + 1)/9
Suppose -78*h - 90*h - 71*h = 0. What is k in 1/2*k + h + 7/2*k**2 = 0?
-1/7, 0
Let t(h) = -3*h**3 - h**2 - 1. Let n(c) = 10*c**3 - 7*c**2 - 63*c + 651. Let a(f) = -2*n(f) - 6*t(f). Let a(k) = 0. Calculate k.
-8, 9
Let -2*g + 24/13*g**3 - 4/13 - 34/13*g**2 = 0. What is g?
-1/3, -1/4, 2
Let x = -10743 - -10743. Factor 7/3*g + x - 1/3*g**2.
-g*(g - 7)/3
Let w(q) be the first derivative of q**6/960 + q**5/80 + 4*q**3 + 7. Let t(l) be the third derivative of w(l). Factor t(m).
3*m*(m + 4)/8
Let o = -30 - -110. Let u = -239/3 + o. Factor u*x + 0 + 0*x**2 + 1/3*x**5 - 2/3*x**3 + 0*x**4.
x*(x - 1)**2*(x + 1)**2/3
Let -9 - 69/4*r + 3/2*r**3 + 9/4*r**2 = 0. What is r?
-4, -1/2, 3
Let r(j) = 2*j**3 + 20*j**2 + 64*j + 28. Let k(f) = -21*f**2 - 62*f - 26. Let y(w) = -6*k(w) - 5*r(w). Let y(l) = 0. What is l?
-1, -2/5, 4
Let x(g) be the third derivative of g**5/270 + 5*g**4/108 - 14*g**3/27 + 36*g**2 + 1. Factor x(v).
2*(v - 2)*(v + 7)/9
Suppose -31*b + 77 + 109 = 0. Let l(q) be the second derivative of 0*q**2 + 3/16*q**4 - 4*q - 1/40*q**b + 3/40*q**5 + 0 + 0*q**3. What is g in l(g) = 0?
-1, 0, 3
Let o = 5060/3 + -1686. Solve 2/3*f**2 - 1/6*f**5 + o*f**4 + 0 - f**3 - 1/6*f = 0.
0, 1
Let z(n) be the first derivative of -5*n**8/672 - n**7/42 - n**6/48 + 3*n**2 - 1. Let g(j) be the second derivative of z(j). Let g(d) = 0. Calculate d.
-1, 0
Let j be ((-360)/(-108) + -3)*(0 + 8/6). Solve -34/3*b**2 - j + 94/9*b**3 - 10/3*b**4 + 14/3*b = 0.
2/15, 1
Factor -2/13*z + 4/13 + 2/13*z**3 - 4/13*z**2.
2*(z - 2)*(z - 1)*(z + 1)/13
Let m = -37 - -40. Suppose 4*i - 19 = -m*y, y - 3*i = -0*i + 2. Suppose -3*j**5 + j**y + 12*j**4 + 0*j**5 - 9*j**4 + 2*j**3 = 0. Calculate j.
-1/2, 0, 2
Suppose 2*h + 1 = -2*p - 3*p, 4*p + 5 = -3*h. Let s be 0/((h - -11)/(-4)). Factor -8 - 3*g**3 + s*g**3 + 27*g - 18*g + 2.
-3*(g - 1)**2*(g + 2)
Let i(h) be the third derivative of -1/300*h**6 + 0*h**3 + 0 + 0*h + 1/525*h**7 + 1/450*h**5 + 0*h**4 - 1/2520*h**8 + 6*h**2. Factor i(d).
-2*d**2*(d - 1)**3/15
Let k = 0 - 6. Let z(x) = -23*x**3 - 18*x**2 + 7. Let j(d) = 8*d**2 - 33*d**3 + 0 + 7*d**2 - 2 - 9*d**2 + 41*d**3. Let v(s) = k*z(s) - 17*j(s). Factor v(t).
2*(t - 1)*(t + 2)**2
Suppose 4*n = 3*v - n - 10, 5*v - 4*n = 8. Factor -1/2*u**2 - 3/4*u**3 + 0*u + v + 0*u**4 + 1/4*u**5.
u**2*(u - 2)*(u + 1)**2/4
Let g(u) be the first derivative of -1 - 64/3*u - 1/12*u**4 - 4/3*u**3 - 8*u**2. Suppose g(a) = 0. Calculate a.
-4
Let l be ((-30)/9)/((-2)/6). Let g(h) = -h**3 + h**2 + 1. Let s(v) = -4*v**3 + 7*v**2 + v + 5. Let k(a) = l*g(a) - 2*s(a). Factor k(i).
-2*i*(i + 1)**2
Suppose 20*j = 19*j + 3. Suppose j*o = 3*d + 12, 2*d - 8 = o - 3*o. Factor 0*p**3 + 0*p - 2/5*p**5 + 0*p**2 + 0 - 4/5*p**o.
-2*p**4*(p + 2)/5
Determine z, given that -67 + 59*z**2 - 190*z + 5*z**3 + 125*z**2 - 40*z**3 - 13 + 121*z**2 = 0.
-2/7, 1, 8
Let w(u) = 10*u**2 - 26*u - 169. Let z(g) = g**2. Let a(i) = -4*w(i) + 44*z(i). Factor a(f).
4*(f + 13)**2
Let p be (-15)/(-2)*(-36)/(-54). Let b be (p - 10) + (-32)/(-6). Factor -2/3*l - b*l**4 + 2/3*l**3 + 1/3 + 0*l**2.
-(l - 1)**3*(l + 1)/3
Let i = 3 - 1. Suppose -8 = -i*k - 2*k. Factor -20*y + 8*y + 6*y + k*y**3 + 4.
2*(y - 1)**2*(y + 2)
Let g(u) = 5*u + 4*u + 9*u**2 + 0*u + 6*u**3 - 9. Let t(n) = -n**3 - 3294*n + 1 