he first derivative of -5*r**4/4 - 220*r**3/3 - 2185*r**2/2 + 5290*r - 543. Determine g so that y(g) = 0.
-23, 2
Let t(g) be the first derivative of g**4/4 + 2*g**3 - 4*g**2 - 5*g - 4. Let d be t(-7). Factor -7*v**2 + 6 + 0*v**2 + 4*v**d - 3*v.
-3*(v - 1)*(v + 2)
Let n be (6 - 123/(-12)) + (-3)/12. Suppose n*w + 20 = 26*w. Determine v so that 0 + 3/2*v + 3/2*v**w = 0.
-1, 0
Factor -3/2*h**3 + 0 + 0*h - 3/8*h**5 + 3/2*h**4 + 0*h**2.
-3*h**3*(h - 2)**2/8
Let l be 4/1 + -2 + ((-1100)/(-66))/25. Factor -4/3 + 14/3*i + l*i**2.
2*(i + 2)*(4*i - 1)/3
Let h(b) = -16*b**4 + 4*b**3 + 7*b**2 + 5*b - 5. Let x(p) = -9*p**4 + 2*p**3 + 4*p**2 + 3*p - 3. Let i(o) = 3*h(o) - 5*x(o). Factor i(j).
-j**2*(j - 1)*(3*j + 1)
Solve 24/13*b**2 + 12/13*b**4 + 2/13*b**5 + 8/13*b + 2*b**3 + 0 = 0 for b.
-2, -1, 0
Let x(o) = -159*o**3 + 1009*o**2 - 522*o + 46. Let h(l) = -54*l**3 + 336*l**2 - 174*l + 16. Let a(w) = -7*h(w) + 2*x(w). Factor a(f).
2*(f - 5)*(5*f - 2)*(6*f - 1)
Let q(r) be the first derivative of r**6/30 - 4*r**5/25 - 3*r**4/20 + 2*r**3/3 + 4*r**2/5 + 281. Factor q(g).
g*(g - 4)*(g - 2)*(g + 1)**2/5
Let u(r) = r**2 + 13*r + 45. Let w be u(-9). Let l(z) = -z**2 + 13*z - 34. Let i be l(w). Find o, given that 14/3*o + 2/3*o**3 + 10/3*o**i + 2 = 0.
-3, -1
Let k(l) be the third derivative of l**5/6 - l**4/3 + 4*l**3/15 + 11*l**2 - 3*l. Factor k(j).
2*(5*j - 2)**2/5
Let s(o) = o - 8. Let b be s(8). Let t = b + 7. Factor 7*h + 2*h + 2 + 0 + t*h**2.
(h + 1)*(7*h + 2)
Let w be 3 + 4/((-12)/9). Suppose 3*r - 5*r + 6 = w. Determine o, given that o**3 - 3*o**4 - 4*o**r + 3*o**2 - o**5 - 4*o**2 = 0.
-1, 0
Suppose 0 = -3*z + 5*s + 6, 7*s - 50 = -5*z + 2*s. Factor -16*m - 18*m**2 + 6*m**3 + z*m**4 + 6*m**2 + 2*m**3 - 3*m**4 + 16.
4*(m - 1)**2*(m + 2)**2
Let i = -1/42474 + -18007541/60950190. Let y = -2/205 - i. Factor -y*q**2 - 50/7 - 20/7*q.
-2*(q + 5)**2/7
Let k be (-1)/(26/4) - 117920/(-41808). Solve k*f + 2 + 2/3*f**2 = 0 for f.
-3, -1
Let u be (-155)/(-80) - (-2)/32. Suppose -3/4*q**u - 1/4*q**3 + 0 + 0*q = 0. Calculate q.
-3, 0
Let v(l) be the first derivative of 125*l**4/4 + 6650*l**3/3 - 2690*l**2 + 1080*l - 172. Factor v(n).
5*(n + 54)*(5*n - 2)**2
Let s(z) be the second derivative of -z**6/240 + 7*z**5/80 - 5*z**4/24 - 7*z**3/6 + 6*z**2 - 829*z. What is b in s(b) = 0?
-2, 2, 12
Suppose 25*x - 2 + 127 = 0. Let t be 3*x/(-420) + (-2)/(-8). Factor i - 2/7 - i**3 + t*i**2.
-(i - 1)*(i + 1)*(7*i - 2)/7
Find w such that 3/2*w - 9 + 9*w**2 - 3/2*w**3 = 0.
-1, 1, 6
Find q such that -8*q**2 + 41*q**3 + 21*q**2 - 10*q + q**4 - 2*q**4 - 21*q**3 - 22*q**3 = 0.
-5, 0, 1, 2
Let y(h) = h**3 + h**2 - 6*h - 7. Let v be y(-3). Let r be 8/v*(-42)/12. Let 8*s**2 + 4*s**3 - 4*s - 4*s**4 - 4*s**5 + 4*s**3 - r + 0 = 0. What is s?
-1, 1
Let -9/2*o - 1/2*o**2 + 0 = 0. Calculate o.
-9, 0
Suppose 0 = -2*a + 143 - 1. Suppose 61*c + 40 = a*c. Find z, given that 1/4*z**2 + 0*z - 3/8*z**c + 0 + 1/8*z**3 = 0.
-2/3, 0, 1
Let o(m) = -m**4 - 5*m**3 + 6*m**2 - 4*m + 4. Let n(h) = -5*h - 2*h**4 + 18 + 2*h - 5*h**3 - 15 + 7*h**2. Let v(s) = 4*n(s) - 3*o(s). Solve v(t) = 0 for t.
-2, 0, 1
Let o(i) = -i**2 + 59*i + 123. Let p(z) = -z**2 - z + 1. Let y(q) = o(q) + p(q). Determine h so that y(h) = 0.
-2, 31
Let d(f) = -14*f - 4*f**3 - 9*f + 1 - f - 5*f**2 + 21*f. Let n be d(-1). Let 2/9*j + 0 + 8/9*j**5 - 10/9*j**n - 2/3*j**4 + 2/3*j**2 = 0. Calculate j.
-1, -1/4, 0, 1
Let v(h) = 2*h**2 + h - 1. Let c(x) = 11*x**2 + 18*x - 17. Let p(u) = c(u) - 6*v(u). Factor p(f).
-(f - 11)*(f - 1)
Let s = 38 + -33. Let r be s/12 + 1 + 4/16. Factor -r*d**3 + 1/3*d**4 + 3*d**2 + 2/3 - 7/3*d.
(d - 2)*(d - 1)**3/3
Let d be (-26)/(-8) - ((-102)/(-24) - 4). Suppose -11 = y - 5*y - 3*k, -2*y - d*k + 7 = 0. Let -8/7 + 2/7*x**y + 0*x = 0. What is x?
-2, 2
Suppose 36*g - 40*g + 12 = -2*l, -3*g + 5*l = -16. Factor -9/2*r**3 + 2*r + 9/2*r**g - 2.
-(r - 1)*(3*r - 2)*(3*r + 2)/2
Factor -827052 - 3/2*t**4 + 857310*t - 30627*t**2 + 741/2*t**3.
-3*(t - 82)**3*(t - 1)/2
Let k = 114 - 112. Let f be 1/2*(k + -4 + 2). Determine l so that -3/7*l**2 + 0*l - 9/7*l**3 + f - 3/7*l**5 - 9/7*l**4 = 0.
-1, 0
Let v(k) = k + 1. Let p be v(2). Suppose -p*n + 4 = 3*f - 2*f, -2*n = f - 4. Solve n*i**4 - 5*i**3 - i**3 - 2*i**4 - 4*i**2 = 0.
-2, -1, 0
Factor -9/5*a**4 + 6*a**3 + 0*a + 0 + 24/5*a**2.
-3*a**2*(a - 4)*(3*a + 2)/5
Let b(v) = -9*v**4 + 4*v**2 + 8*v**4 + v**3 - 3*v**2. Let g(r) = -6*r**4 - 2*r**3 + 22*r**2 - 2*r. Let h(s) = -12*b(s) + g(s). Factor h(l).
2*l*(l - 1)**2*(3*l - 1)
Let t(b) be the first derivative of 3*b**5/25 + b**4/4 - 2*b**3/15 - 73. Solve t(u) = 0 for u.
-2, 0, 1/3
Let c(j) be the first derivative of -j**6/27 - 26*j**5/15 - 145*j**4/6 - 2162*j**3/27 - 112*j**2 - 72*j + 179. Factor c(q).
-2*(q + 1)**3*(q + 18)**2/9
What is i in 0 - 9/2*i**2 + 3/2*i - 3/2*i**4 + 9/2*i**3 = 0?
0, 1
Let l(k) be the third derivative of -k**5/30 + 25*k**4/12 - 136*k**3/3 + 176*k**2 + 1. Factor l(x).
-2*(x - 17)*(x - 8)
Let m(g) = 3*g**2 - 6*g - 3. Let f(n) = -2*n**2 - 3*n**3 + 3*n**2 - n + 2*n**3 - 1. Let k(x) = -3*f(x) + m(x). Factor k(o).
3*o*(o - 1)*(o + 1)
Factor 0 + 20/7*i**3 - 4/7*i**4 - 36/7*i - 12/7*i**2.
-4*i*(i - 3)**2*(i + 1)/7
Let n(f) = 4*f**3 - 4*f. Let t = 8 - 13. Let u(j) = 5*j**3 - 5*j. Let w(k) = t*u(k) + 6*n(k). Suppose w(q) = 0. What is q?
-1, 0, 1
Suppose f = -1 - 2. Let c(b) be the third derivative of -b**5/60 - b**4/4 - 9*b**2. Let x(j) = -j**2 - 7*j. Let t(a) = f*x(a) + 4*c(a). Factor t(r).
-r*(r + 3)
Suppose -2*c = -5*f - 0 - 5, -3*c = 5*f - 20. Suppose 4*p + m = 6*p - f, 0 = -p - 5*m + 17. Suppose -11 + 303*y - 294*y - 3*y**p + 5 = 0. Calculate y.
1, 2
Suppose -2*w = -2*p - 34, -6*w + w - 3*p = -45. Let j = -10 + w. Factor 3 + 7*l**2 + l**j + 12*l + l**2.
3*(l + 1)*(3*l + 1)
Find v such that 27*v - 405/8*v**3 + 21/8*v**2 - 15/2 - 75/4*v**4 = 0.
-5/2, -1, 2/5
Determine x so that 3613 + 24*x**4 + 5*x - 3605 + 64*x**2 + 31*x + 4*x**5 + 56*x**3 = 0.
-2, -1
Let v(r) be the second derivative of r**9/30240 + r**8/6720 + r**7/5040 - r**4/12 - 8*r. Let d(t) be the third derivative of v(t). Find z, given that d(z) = 0.
-1, 0
Factor -2/3*s**2 + 14/15*s**3 + 0 - 2/5*s**4 + 2/15*s.
-2*s*(s - 1)**2*(3*s - 1)/15
Let m(w) = -6*w**4 + 6*w**2. Let u(f) = 4*f**2 + 6*f + 3. Let y be u(-2). Let r(k) = 13*k**4 - k**3 - 12*k**2. Let h(b) = y*m(b) + 3*r(b). Factor h(i).
-3*i**2*(i - 1)*(i + 2)
Solve -14/13*d - 20/13*d**2 + 2/13*d**3 + 392/13 = 0 for d.
-4, 7
Let f(l) be the first derivative of -2*l**5/5 + 3*l**4 + 16*l**3/3 - 6*l**2 - 14*l - 16. Factor f(p).
-2*(p - 7)*(p - 1)*(p + 1)**2
Let d(w) = w**3 + w + 2. Let p(v) = -v**4 - 2*v**3 + 8*v**2 + 10*v + 1. Let f(r) = -12*d(r) + 3*p(r). Suppose f(s) = 0. Calculate s.
-7, -1, 1
Factor 0 + 0*f**2 + 3*f**3 + 0*f + 21/2*f**4 + 9/2*f**5.
3*f**3*(f + 2)*(3*f + 1)/2
Suppose 63 = f - 50. Let z = -563/5 + f. Factor z*r**2 - 2/5*r**3 + 0*r + 0.
-2*r**2*(r - 1)/5
Let c = 4151 + -4143. Factor 4/3*l**5 + 4/3*l + c*l**3 + 0 - 16/3*l**4 - 16/3*l**2.
4*l*(l - 1)**4/3
Let u = -54 - -110. Determine o, given that u*o - 2 + 2 + 7*o**2 - 54*o = 0.
-2/7, 0
Let w = -162 - -169. Factor 20*a + 4 - w - 2*a**2 - 3*a**2 - 17.
-5*(a - 2)**2
Factor -76 + 25*p - 145*p - 3*p**2 - 39 - 2.
-3*(p + 1)*(p + 39)
Let l(x) be the third derivative of -x**6/80 - x**5/8 - 6*x**2. Suppose l(w) = 0. What is w?
-5, 0
Suppose 0 = 4*k - 8*k + 36. Let d be (k/(-12) - -4) + -3. Factor -d*b**2 - b - 1.
-(b + 2)**2/4
Let f = 11273/19188 + -134/369. Let m = f - -1/39. Factor m*s**2 - 1/2 + 1/4*s.
(s - 1)*(s + 2)/4
Let p(i) be the first derivative of 36*i**5/5 + 84*i**4 + 1048*i**3/3 + 616*i**2 + 484*i - 293. Let p(b) = 0. What is b?
-11/3, -1
Let o be (-1392)/(-66)*(-2)/(-92). Let s = 2/23 + o. Suppose 0 - 2/11*p**3 + 6/11*p**2 + 4/11*p - s*p**4 - 2/11*p**5 = 0. Calculate p.
-2, -1, 0, 1
Let r(l) be the first derivative of -5*l**8/112 + l**7/6 - l**6/12 + 7*l**2 - 12. Let o(p) be the second derivative of r(p). Factor o(t).
-5*t**3*(t - 2)*(3*t - 1)
Let q(z) be the second derivative of 7/2*z**7 - 102/5*z**5 + 48*z**2 + 124*z**4 + 0 - 120*z**3 - 63/5*z**6 + 5*z. Suppose q(j) = 0. What is j?
-2, 2/7, 2
Let m = 139/214 + 11/642. Factor -2/3*w**2 - m*w + 0.
-2*w*(w + 1)/3
Let c(q) = -q - 1. Let t(s) = -6*s**2 - 12*s - 6. Suppose -3*g = 16*g + 95. 