Let b be g(6). Let y = b - -46. Suppose -1/3 + p**y - 7/3*p**2 + 5/3*p = 0. What is p?
1/3, 1
Factor -2/7*z**3 + 0 - 10/7*z**5 - 16/7*z**4 + 0*z + 4/7*z**2.
-2*z**2*(z + 1)**2*(5*z - 2)/7
Let w be ((-114)/(-24) - 5) + 1. Determine h, given that -3/4*h + 0 + w*h**4 - 3/4*h**2 + 3/4*h**3 = 0.
-1, 0, 1
Let p(w) = -w**2 - 3*w. Let l(a) = a**2 + 13*a - 6. Let j(t) = l(t) + 2*p(t). Find m, given that j(m) = 0.
1, 6
Let z(q) be the first derivative of -q**7/70 + q**6/25 - 3*q**5/100 + 20*q - 16. Let x(i) be the first derivative of z(i). Factor x(t).
-3*t**3*(t - 1)**2/5
Factor 2/3*y**3 + 0 - 2/3*y**2 - 4/3*y.
2*y*(y - 2)*(y + 1)/3
Let q be 2 + (-10)/4 - 2/4. Let d be 3/q - -6 - 3. Factor -4/5*n**2 + d - 12/5*n.
-4*n*(n + 3)/5
Let l(p) be the second derivative of -p**4/12 + p**3/2 + 9*p + 2. Factor l(h).
-h*(h - 3)
Let v(q) be the third derivative of -q**7/70 - 3*q**6/40 - q**5/20 + 3*q**4/8 + q**3 + 3*q**2 + 25*q. Factor v(f).
-3*(f - 1)*(f + 1)**2*(f + 2)
Let h(w) be the third derivative of 1/240*w**5 + 0*w + 0 + 1/240*w**6 - 1/120*w**7 + 0*w**3 + 1/336*w**8 + 0*w**4 + 16*w**2. Factor h(l).
l**2*(l - 1)**2*(4*l + 1)/4
Let b(q) be the first derivative of 2*q**5/5 + 6*q**4 - 2*q**3 - 38*q**2 - 48*q - 77. Factor b(h).
2*(h - 2)*(h + 1)**2*(h + 12)
Let k(l) be the third derivative of -5*l**8/504 + l**7/70 + 7*l**6/90 - 7*l**5/180 - l**4/6 + 2*l**3/9 + 2*l**2 + 129. What is m in k(m) = 0?
-1, 2/5, 1/2, 2
Let w(d) = -3*d + 17. Let m be w(4). Suppose 0*l**m + 0*l**5 + 2*l**5 - 3*l**2 - 6*l**3 + 7*l**2 = 0. What is l?
-2, 0, 1
Let y(a) = -a**2 - 3*a - 1. Let i(n) = -18*n**2 + 12*n + 4. Let f(m) = i(m) - 4*y(m). Determine q, given that f(q) = 0.
-2/7, 2
Suppose -4*k - 4 = 3*y - 22, 5*y + 2*k = 16. Find h such that -h**5 + 3*h - 4*h + h - h**2 - y*h + 3*h**3 + h**4 = 0.
-1, 0, 1, 2
Let h(c) = 3*c**2 - 9*c. Let u = 11 - 0. Let o = 6 - u. Let s(z) = -3*z**2 + 9*z. Let m(j) = o*s(j) - 6*h(j). Factor m(a).
-3*a*(a - 3)
Let v(s) be the first derivative of s**5 - 35*s**4/4 - 215*s**3/3 + 1295*s**2/2 + 1470*s - 538. Factor v(h).
5*(h - 7)**2*(h + 1)*(h + 6)
Solve 37092 - 250*g**2 + 3*g**3 + 2565*g - 22512 + 2*g**3 = 0.
-4, 27
Factor -14*d**2 - 3 - 2 - 74*d - 15.
-2*(d + 5)*(7*d + 2)
Let i be (24/98)/((-39)/(-273)). Let p(x) be the first derivative of -i*x**5 + 43/14*x**4 + 1/3*x**6 - 16/7*x**3 + 4/7*x**2 - 5 + 0*x. What is q in p(q) = 0?
0, 2/7, 1, 2
Let l = 623029/15 + -41562. Let k = l + 137/5. Find z, given that 0 + k*z**2 - 1/3*z - 1/3*z**3 = 0.
0, 1
Let v = -22 - -24. Suppose y = v*y - 2. Factor 0 + 2/9*q**5 - 4/9*q**4 - 2/9*q + 0*q**3 + 4/9*q**y.
2*q*(q - 1)**3*(q + 1)/9
Factor 5/3 - h**2 + 2/9*h**4 - h**3 + 17/9*h.
(h - 5)*(h + 1)**2*(2*h - 3)/9
Let q = 13/33 + -2/33. Find s, given that q*s**2 + s + 2/3 = 0.
-2, -1
Factor 0 + 5/3*d**2 - 1/3*d**3 + 1/3*d**5 + 0*d - 5/3*d**4.
d**2*(d - 5)*(d - 1)*(d + 1)/3
Factor -9*n**2 - 101*n**2 + 5*n**3 + 156*n - 167*n**2 + 37*n**2 + 79*n.
5*n*(n - 47)*(n - 1)
Let b = 139 - 139. Suppose -f + 7*f - 12*f = b. Factor 1/9 + f*l - 1/9*l**2.
-(l - 1)*(l + 1)/9
Let c(g) be the second derivative of -g**7/84 + 13*g**6/12 - 263*g**5/8 + 6095*g**4/24 + 10580*g**3/3 + 12167*g**2 + 78*g. Factor c(s).
-(s - 23)**3*(s + 2)**2/2
Let u(t) be the third derivative of 0*t**3 + 0*t + 0*t**4 - 28*t**2 + 0 - 1/42*t**7 - 1/24*t**6 + 1/2*t**5. Factor u(c).
-5*c**2*(c - 2)*(c + 3)
Let b be (-12)/6*(-9)/45. Solve -2/5*s**2 + b*s - 4/5*s**3 + 0 = 0.
-1, 0, 1/2
Let r be (-514)/(-2 + (-5 - -5)). Suppose -9*b + r = 239. Let -1/3 - 1/6*l + 1/6*l**3 + 1/3*l**b = 0. Calculate l.
-2, -1, 1
Let r(k) = -3*k**5 + 2*k**4 + 18*k**3 - 7*k**2 - 10*k. Let s(h) = 8*h**5 - 6*h**4 - 54*h**3 + 22*h**2 + 30*h. Let f(n) = 16*r(n) + 5*s(n). Solve f(c) = 0 for c.
-1, 0, 1, 5/4
Let c be 0/(9 - -5)*1. Let z(a) be the third derivative of -2/3*a**3 + 1/3*a**5 + c + 2/3*a**4 + 0*a + 2*a**2. Factor z(m).
4*(m + 1)*(5*m - 1)
Let a be ((-134)/(-335))/(2*1/80). Suppose a*b**3 + 32*b - 48*b**2 + 8*b**3 - 5*b**4 + b**4 = 0. Calculate b.
0, 2
Let q(p) = -51*p**2 - 6120*p - 441510. Let n(s) = 7*s**2 + 874*s + 63073. Let h(m) = 15*n(m) + 2*q(m). Factor h(k).
3*(k + 145)**2
Determine o so that -5*o + 0 + 5/4*o**4 - 5*o**2 + 5/4*o**3 = 0.
-2, -1, 0, 2
Let r(n) = -n**4 + 14*n**3 + 16*n**2 - 108*n + 81. Let l(p) = 12*p**4 - 183*p**3 - 207*p**2 + 1404*p - 1053. Let u(z) = 2*l(z) + 27*r(z). Factor u(a).
-3*(a - 3)**2*(a - 1)*(a + 3)
Suppose -19*a**4 - 25 + 26*a**4 + 37*a**3 + 57 + 68*a - 144*a**2 = 0. Calculate a.
-8, -2/7, 1, 2
Let w be 1*40/70 + (-2 - (-10)/7). What is q in 3/2*q**2 - 3/4*q + w - 3/4*q**3 = 0?
0, 1
Let z(m) = 10*m**5 + 34*m**4 + 50*m**3 + 14*m**2 - 6*m. Let v(s) = -9*s**5 - 33*s**4 - 49*s**3 - 15*s**2 + 5*s. Let c(p) = -6*v(p) - 5*z(p). Factor c(q).
4*q**2*(q + 1)**2*(q + 5)
Let d = -3149 - -6299/2. Let 1/2*x**2 - d*x - 1 = 0. What is x?
-1, 2
Let j(d) be the second derivative of d**5/120 + d**4/36 - 11*d**3/36 - d**2 - 2*d + 20. Find w such that j(w) = 0.
-4, -1, 3
Find u such that 9*u - 20*u**2 + 3*u + 92*u**4 + 90*u**4 - 183*u**4 + 9*u**3 = 0.
0, 1, 2, 6
Let z(v) be the first derivative of v**4/10 + 4*v**3/5 + 8*v**2/5 - 399. Factor z(n).
2*n*(n + 2)*(n + 4)/5
Let x(r) be the third derivative of r**8/2856 + r**7/595 + r**6/340 + r**5/510 + 33*r**2. Factor x(y).
2*y**2*(y + 1)**3/17
Let f(o) be the third derivative of -4*o**7/385 - 31*o**6/660 + 7*o**5/110 + 19*o**4/132 + o**3/11 - 11*o**2 + 6. Suppose f(j) = 0. What is j?
-3, -1/3, -1/4, 1
Let a(c) = c**2 + 7*c - 16. Let r = -12 - -3. Let g be a(r). Factor 2/3*l**g + 4/3 + 2*l.
2*(l + 1)*(l + 2)/3
Factor 6*t**2 + 8*t**2 + 1 + t**2 + 25*t**3 - 9*t.
(t + 1)*(5*t - 1)**2
Let u(o) be the first derivative of -o**2 + 2/3*o**3 + 5*o + 5 - 1/6*o**4. Let r(h) be the first derivative of u(h). Find v, given that r(v) = 0.
1
Suppose -4*k + 5*v + 46 = -k, 2*k - 4*v = 34. Find o such that -k*o + 1 + 13*o - 6*o - o**2 = 0.
-1, 1
Let s = 272 - 268. Let w(l) be the third derivative of -1/24*l**s + 0*l**3 - 1/30*l**5 + 0 + 0*l + 2*l**2 - 1/120*l**6. Factor w(p).
-p*(p + 1)**2
Let n be (-16)/6 + (-440)/(-165). Let 0 + 0*o**2 - 2/3*o**5 + 0*o + n*o**3 - 4/3*o**4 = 0. What is o?
-2, 0
Let l = -9718 - -68080/7. Factor -198/7*h + 276/7*h**2 + l*h**4 - 180/7*h**3 + 54/7 - 6/7*h**5.
-6*(h - 3)**2*(h - 1)**3/7
Factor 20*g - 106*g**2 - 1 + 5 + 6*g**2 - 4 - 1.
-(10*g - 1)**2
Factor -4/5 + 2/5*i**2 - 2/5*i.
2*(i - 2)*(i + 1)/5
Factor 92 + 142*s + 2230*s**2 + 2*s**3 + 2270*s**2 - 4448*s**2.
2*(s + 1)*(s + 2)*(s + 23)
Let n(p) be the first derivative of -p**5/36 - 35*p**4/72 - 25*p**3/9 + 8*p**2 + 19. Let d(s) be the second derivative of n(s). Factor d(a).
-5*(a + 2)*(a + 5)/3
Find y such that -480*y**4 - 774*y**2 - 120*y - 607*y**3 - 554*y**3 + 307*y**5 - 280*y**5 = 0.
-1, -2/9, 0, 20
Let p(m) = -m**4 - m**3 + m**2. Let l(n) = -8*n**4 + 16*n**3 + 56*n**2 + 27*n. Let a(f) = -l(f) + 5*p(f). Suppose a(i) = 0. Calculate i.
-1, 0, 9
Factor 9/8*t - 5/4 + 1/8*t**2.
(t - 1)*(t + 10)/8
Let m(f) be the first derivative of -5*f**4/4 + 5*f**3/3 + 5*f**2 + 494. Let m(z) = 0. What is z?
-1, 0, 2
Factor -3/4*z**4 + 0*z**2 + 3/4 + 3/2*z**3 - 3/2*z.
-3*(z - 1)**3*(z + 1)/4
Let a(h) be the second derivative of 0*h**2 + 18*h + 0 + 1/20*h**4 + 0*h**3. Determine v so that a(v) = 0.
0
Find m such that 5*m**4 - 10*m**3 + 0*m**5 + 23 - 15 + 6*m**4 - 9*m**4 + 8*m - 10*m**2 + 2*m**5 = 0.
-2, -1, 1, 2
Let k(u) be the third derivative of -4/21*u**3 + 0 + 2/21*u**4 + 19/210*u**5 + 22*u**2 + 1/60*u**6 + 0*u. Suppose k(z) = 0. Calculate z.
-2, -1, 2/7
Let r(o) = 8*o**2 + 7*o - 8. Suppose 2*c = -0*c + 56. Let h(x) = x**2 + x - 1. Let d(f) = c*h(f) - 4*r(f). Factor d(g).
-4*(g - 1)*(g + 1)
Solve 6/7*p**2 - 216/7 - 96/7*p = 0 for p.
-2, 18
Let z(u) = -31*u**2 - 423*u + 190. Let p(x) = -16*x**2 - 212*x + 96. Let c(t) = 11*p(t) - 6*z(t). Solve c(o) = 0 for o.
-21, 2/5
Let i be ((-66)/(-132))/(2/1). Let z(v) be the first derivative of 9/4*v**2 + 4 + 3/2*v - i*v**6 + v**3 - 3/4*v**4 - 9/10*v**5. Solve z(q) = 0 for q.
-1, 1
Let n(o) = 35*o**2 + 310*o + 4835. Let z(r) = r**2 + 1. Let q(c) = n(c) - 30*z(c). Find g, given that q(g) = 0.
-31
Suppose 4 = 3*a + 4. Let h(p) be the second derivative of -3/50*p**5 - p - 1/10*p**4 + 0*p**2 + a - 1/15*p**3 - 1/75*p**6. Factor h(b).
-2*b*(b + 1)*