**3/3 - 109*b**2. Factor n(t).
-5*(t - 22)*(t + 1)
Let k = 366/205 - 24/41. Let b = 413/5 - 82. Factor k*w**2 + b*w**5 - 6/5*w**4 + 0*w**3 - 3/5*w + 0.
3*w*(w - 1)**3*(w + 1)/5
Let v(o) be the first derivative of -4*o + 7 - 5/3*o**3 + 6*o**2. Let v(p) = 0. Calculate p.
2/5, 2
Let m = -17 - -12. Let c(a) = 10*a**2 + 55*a + 40. Let x(s) = -5*s**2 - 27*s - 20. Let n(f) = m*x(f) - 2*c(f). Solve n(l) = 0.
-4, -1
Determine f so that -1/4*f**2 - 1/2*f - 1/4 = 0.
-1
Let b = -33 + 79. Factor -b - l**2 + 2*l**2 - 2*l + 0*l**2 + 47.
(l - 1)**2
Let g = 790 + -146151/185. Let y = g - -223/185. Factor 0*i - 2/5*i**2 + y*i**3 + 2/5*i**5 + 0 - 6/5*i**4.
2*i**2*(i - 1)**3/5
Let j(q) be the second derivative of -7*q**7/18 - 7*q**6/6 + 39*q**5/20 + 169*q**4/36 - 28*q**3/3 + 6*q**2 - q - 13. Let j(p) = 0. What is p?
-2, 3/7, 1
Factor 2*y**4 + 4*y**3 - y - y**2 - 12 + 2*y**3 - 30*y + 9*y - 5*y**2.
2*(y - 2)*(y + 1)**2*(y + 3)
Let l(u) be the first derivative of u**4 - 40*u**3/3 + 50*u**2 + 85. Factor l(c).
4*c*(c - 5)**2
Let f(z) be the third derivative of z**7/630 - 7*z**6/360 + 2*z**5/45 + 2*z**4/9 - 6*z**2 + 5*z. Solve f(a) = 0.
-1, 0, 4
Suppose -5*l + 7 + 8 = 0. Find i such that i**3 + 7*i**l - i**2 - 4*i**3 - 2*i - i**2 = 0.
-1/2, 0, 1
Determine a so that 11*a - 2*a**2 + 8*a - 42*a + 13*a = 0.
-5, 0
Let o = 32943/7 - 4706. Determine x so that 1/7 + 2/7*x + o*x**2 = 0.
-1
Let j(u) = -5*u + 3*u**2 + 2 - 2*u + 9*u. Let y be (-2 - -3) + -2 - 1. Let s(r) = -4*r**2 - 3*r - 3. Let p(v) = y*s(v) - 3*j(v). Find c, given that p(c) = 0.
0
Let x be 3/(7/(-4) + 1). Let j(d) be the third derivative of -d**6/40 + d**4/24 - d**3 - 7*d**2. Let c(u) = 2*u**3 + 5. Let y(z) = x*c(z) - 3*j(z). Factor y(a).
(a - 2)*(a + 1)**2
Let n(i) be the second derivative of -i**7/630 + i**6/180 + i**5/60 - i**4/18 - 2*i**3/9 + 8*i**2 + 34*i. Let v(c) be the first derivative of n(c). Factor v(h).
-(h - 2)**2*(h + 1)**2/3
Let q(n) = 9*n**2 - 744*n - 46128. Let j(i) = -11*i**2 + 744*i + 46128. Let c(u) = -6*j(u) - 7*q(u). Factor c(h).
3*(h + 124)**2
Let j(l) be the first derivative of -l**8/1680 - l**7/280 + l**5/30 - 4*l**3/3 + 14. Let a(q) be the third derivative of j(q). Factor a(h).
-h*(h - 1)*(h + 2)**2
Let o be ((-46)/138)/(1/(-21)). Let z(s) be the second derivative of 0*s**3 + 0*s**2 - 3*s + 0*s**6 + 0*s**4 + 1/84*s**o + 0*s**5 + 0. Factor z(t).
t**5/2
Let m be -5*(0 - 6/(-30))/(-3). Solve 1/3*r**3 - m*r**4 + 0 + 2/3*r**2 + 0*r = 0 for r.
-1, 0, 2
Let d be (-2)/6 + 91/39. Let 26*r + 12*r**2 - 17*r**d + 4 - 24*r**3 + 39*r**2 = 0. What is r?
-1/3, -1/4, 2
Let u(t) = t**2 - 56*t + 751. Let b be u(34). Suppose -11/3*l**2 + 2/3 - b*l = 0. What is l?
-1, 2/11
Let s(y) = -y**3 - 2*y. Let v(j) = -6*j**3 - 2*j**2 - 17*j. Let l(x) = 21*s(x) - 3*v(x). Find k, given that l(k) = 0.
-1, 0, 3
Suppose -9*v = -6*v - 3. Suppose a + 7 = 5*y, -5*y = -4*a - v + 3. Suppose 4*k**y - k**2 + 0*k**2 + 4*k + 2*k = 0. What is k?
-2, 0
Let f(z) be the third derivative of -z**5/15 - 24*z**4 - 286*z**3/3 + 689*z**2. Let f(c) = 0. What is c?
-143, -1
Let x = 90/67 + -293/268. Let w(l) be the second derivative of 2*l + 0 + x*l**3 + 0*l**2 + 1/16*l**4. Suppose w(b) = 0. Calculate b.
-2, 0
Let a = 35 + -33. Factor -51*r**2 - 3*r + 51*r**a + 3*r**3.
3*r*(r - 1)*(r + 1)
Let w(g) be the first derivative of -g**5/10 - 2*g**4/3 - 5*g**3/3 - 2*g**2 - 4*g - 11. Let l(z) be the first derivative of w(z). Factor l(m).
-2*(m + 1)**2*(m + 2)
Let m(a) be the third derivative of -a**2 + 0*a**3 - 1/315*a**7 - 1/18*a**5 - 1/45*a**6 + 0 - 1/18*a**4 + 0*a. Factor m(q).
-2*q*(q + 1)**2*(q + 2)/3
Let t be ((-14)/(-8) - 1)*-8. Let n be 3 + 3 + 1 + t. Factor g**5 - 4*g + 3*g**4 + 2*g**3 - n - 5*g**2 + 3*g**2 - g + 2*g.
(g - 1)*(g + 1)**4
Let a(f) be the first derivative of 5*f + 30 + 5/4*f**4 + 15/2*f**2 + 5*f**3. Determine g, given that a(g) = 0.
-1
Let n be 14 + 1 + -8 + 10. Suppose 2*l + 9 - n = 0. Solve 0*t + 1/4*t**2 + 1/2*t**3 + 0 + 1/4*t**l = 0 for t.
-1, 0
Suppose -30 = 29*r - 32*r. Suppose -r*g - 30*g - 106 - 5*g**2 + 26 = 0. What is g?
-4
Let p(b) be the first derivative of b**4/12 - 5*b**3/9 + 4*b**2/3 - 4*b/3 + 102. Determine z so that p(z) = 0.
1, 2
Let a = -17/44 + 7/11. Let g be (-287)/(-164)*10/14. Factor -a*d**3 - 1/2 - g*d - d**2.
-(d + 1)**2*(d + 2)/4
Suppose 2*c = 3*l - 32, -4*l + c + 11 = -3*l. Determine r, given that -15 + 5*r**2 - 11 + l*r + 0*r + 11 = 0.
-3, 1
Factor -8/5*y**4 - 162/5*y**2 + 72/5*y**3 + 0*y + 0.
-2*y**2*(2*y - 9)**2/5
Let k = -16 - -257/16. Let d(w) be the first derivative of 0*w + 1/4*w**3 + 1/4*w**2 + k*w**4 + 4. Determine p so that d(p) = 0.
-2, -1, 0
Suppose -203*j - 96*j = -598. Factor 1/6*b**j - 5/6*b + 0.
b*(b - 5)/6
Let k be (46/(-115))/((-24)/5). Let u(t) be the second derivative of -1/18*t**3 + 1/15*t**5 - 3*t + 0*t**2 + 0 + k*t**4. Factor u(v).
v*(v + 1)*(4*v - 1)/3
Let m(q) be the first derivative of 2*q**3 - 108*q - 37 + 45/2*q**2 - 3/4*q**4. What is b in m(b) = 0?
-4, 3
Let j(w) be the first derivative of -2/5*w**3 - 2/25*w**5 + 8/5*w + 4/5*w**2 - 2/5*w**4 - 38. Suppose j(g) = 0. What is g?
-2, -1, 1
Suppose -434 + 1025 = 197*h. Let g = 8 + -6. Solve 4/7 + 2/7*s**4 - 6/7*s**g - 2/7*s + 2/7*s**h = 0.
-2, -1, 1
Suppose -43*x**3 + 88*x**4 + x**5 - 40*x**2 + 99*x**4 - 189*x**4 = 0. What is x?
-5, -1, 0, 8
Let r(a) be the second derivative of -a**4/6 + 85*a**3/3 - 84*a**2 + 6*a + 2. Let r(s) = 0. What is s?
1, 84
Let c be (14 - 4) + 8/(-1). Factor -8/7*x + 8/7 + 2/7*x**c.
2*(x - 2)**2/7
Let l(n) = 20*n**3 - 3*n**2 + 5*n + 22. Let q(m) = -11*m**3 + m**2 - 2*m - 12. Let a(p) = 6*l(p) + 11*q(p). Find x, given that a(x) = 0.
-8, 0, 1
Let w(r) be the second derivative of r**7/2 - 17*r**6/10 + 39*r**5/20 - 3*r**4/4 - 76*r. Let w(k) = 0. What is k?
0, 3/7, 1
Let h = -2 + 10. Suppose 0*b = -h*b + 16. Factor -44*k**b + 41*k**2 - 2*k**3 + 2*k + 5*k**5 - 5*k**3 + 3*k**4.
k*(k - 1)*(k + 1)**2*(5*k - 2)
Solve 8/5 + 9/5*f**4 + 29/5*f**3 + 1/5*f**5 + 6*f + 43/5*f**2 = 0 for f.
-4, -2, -1
Factor 4/3*k**2 - 1/9*k**4 - 10/9*k + 10/9*k**3 - 11/9.
-(k - 11)*(k - 1)*(k + 1)**2/9
Solve 1/8*y**3 + 0*y + 0 - 11/8*y**2 = 0 for y.
0, 11
Let y(z) be the third derivative of 0*z + 1/27*z**5 + 17*z**2 - 1/270*z**6 + 0*z**3 + 0 - 1/9*z**4. What is b in y(b) = 0?
0, 2, 3
Let k be ((-72)/(-28) + 1 - 3)/(1/7). Solve 0*s**2 - 4/13*s**3 + 0 + 0*s**k + 2/13*s + 2/13*s**5 = 0.
-1, 0, 1
Let n be (-6)/(-15) - (-13)/780*6. Factor 0 + n*a**2 - a**3 + 1/2*a**4 + 0*a.
a**2*(a - 1)**2/2
Let l be (1266/(-15))/(-2) + 2/(-10). Let r = 45 - l. Let 0*i + 0 + 2/5*i**r + 0*i**2 = 0. What is i?
0
Let o(q) = 2*q**2 - 33*q - 240. Let c(k) = -5*k**2 + 67*k + 485. Let w(f) = -3*c(f) - 7*o(f). Factor w(a).
(a + 15)**2
Let t(w) be the first derivative of 3*w**4/8 - 7*w**3/2 + 33*w**2/4 - 15*w/2 - 137. Determine r so that t(r) = 0.
1, 5
Let w(g) be the first derivative of 0*g**2 + 0*g + 1/36*g**6 + 10 + 0*g**5 + 0*g**4 + 0*g**3. Factor w(v).
v**5/6
Let v be ((-106)/(-477))/((-88)/(-30)). Let u(b) be the second derivative of 4/165*b**6 + 4/55*b**5 - 3*b + v*b**4 + 1/33*b**3 + 0*b**2 + 0. Factor u(p).
2*p*(p + 1)*(2*p + 1)**2/11
Let p(t) be the second derivative of -11*t - 1/60*t**4 - 1/30*t**3 + 0*t**2 + 0. Factor p(h).
-h*(h + 1)/5
Suppose -5*f - 20 - 50 = -4*r, 4 = 2*f. Suppose 3*p - r = -2*p. Find h, given that -9*h**4 + p*h**3 - 10*h - 2*h**5 - 24*h**3 - h**4 + 0*h - 20*h**2 - 2 = 0.
-1
Let b(j) = -4*j**3 - 28*j**2 + 8*j + 12. Let p(q) = q**2 + 12*q - 27*q + 14*q + 1. Let l(g) = b(g) + 12*p(g). Factor l(h).
-4*(h - 1)*(h + 2)*(h + 3)
Let p be (((-1)/1)/45)/(2/(-4)). Let s(x) be the first derivative of 0*x**2 + p*x**5 + 1/18*x**4 - 2/27*x**3 + 0*x + 9 - 1/27*x**6. Factor s(y).
-2*y**2*(y - 1)**2*(y + 1)/9
Suppose 27*p + 44*p - 213 = 0. Let i(h) be the first derivative of h**3 + p + 21/4*h**2 - 3/8*h**4 + 6*h. Suppose i(w) = 0. What is w?
-1, 4
Let k(b) = -b**2 + 23*b - 70. Let o be k(16). Let g be (-234)/o + 5 + (-37)/(-28). Factor 3/4*u**4 + 0 + 0*u**2 + 0*u + g*u**3 - 3/2*u**5.
-3*u**3*(u - 1)*(2*u + 1)/4
Let j(c) be the second derivative of -1/14*c**3 + 0 + 0*c**2 - 19*c + 1/28*c**4. Factor j(z).
3*z*(z - 1)/7
Factor 8*c**2 + 0 + 6*c + 1/2*c**4 + 7/2*c**3.
c*(c + 2)**2*(c + 3)/2
Let c(j) be the first derivative of -j**4/3 + 8*j**3/9 + 2*j**2/3