 - 69*c - 32. Let q(v) = v**3 - 44*v**2 - 70*v - 32. Suppose -31*b - 120 = 97. Let o(f) = b*i(f) + 6*q(f). What is x in o(x) = 0?
-1, 32
Solve 3240 - 194*j - 5*j**3 + 36*j**2 + 15*j - 206*j**2 - 684*j - 397*j = 0 for j.
-18, 2
Suppose 48 = -5118*o + 5142*o. Let n(v) be the second derivative of -30*v + 0*v**o + 1/8*v**4 + 1/6*v**3 + 0. Find x, given that n(x) = 0.
-2/3, 0
Let p(y) be the second derivative of -3*y**5/10 - 245*y**4/2 - 60025*y**3/3 - 14706125*y**2/9 - 61*y + 19. Factor p(z).
-2*(3*z + 245)**3/9
Determine n so that -2/7*n**5 + 6/7*n**4 - 56*n + 54*n**2 + 394/7*n**3 - 384/7 = 0.
-12, -1, 1, 16
Let k be (-6)/16 + (825/(-40))/(-15). Let t be 0 + (-1 - k) + 75/30. Factor -2*z - 4 - 2*z**4 + 1/2*z**5 + t*z**3 + 5*z**2.
(z - 2)**3*(z + 1)**2/2
Let l = 1/58676 - -117343/528084. Find h such that 0*h + 0 - 2/9*h**3 - l*h**5 + 0*h**2 - 4/9*h**4 = 0.
-1, 0
Suppose f - 4 = 0, z - 2*f - 34 = -42. Let r(t) be the third derivative of 1/84*t**4 + z*t - 1/105*t**5 + 1/420*t**6 - 2*t**2 + 0*t**3 + 0. Factor r(o).
2*o*(o - 1)**2/7
Let a be 13 - (-68783)/715*5/(-65). Find k, given that -16/5 + 76/5*k**2 + 32/5*k + a*k**3 = 0.
-2, -1, 2/7
Factor 1093/5*p - 1/5*p**2 + 438.
-(p - 1095)*(p + 2)/5
Let o(c) = -c + 2. Let p(m) = -m**2 + 4*m + 10. Let a be p(6). Let d(q) = -q**3 + 7*q**2 - 7*q - 18. Let h(w) = a*d(w) - 2*o(w). Let h(z) = 0. Calculate z.
-1, 4
Let t = -32 + 34. Suppose 15*s + 30*s**4 + 60*s**3 - 7*s**2 + 24*s**2 + 33*s**t + 5*s**5 = 0. Calculate s.
-3, -1, 0
Let f(t) be the third derivative of t**6/60 - 47*t**5/30 + 45*t**4 + 1744*t**2. Factor f(c).
2*c*(c - 27)*(c - 20)
Let b(c) = 21*c**2 - 4644*c + 442350. Let t(n) = -5*n**2 + 1160*n - 110588. Let a(m) = 2*b(m) + 9*t(m). Factor a(o).
-3*(o - 192)**2
Find n such that 0*n + 5*n**5 + 71*n**2 - 55*n**2 + 25*n**4 - 41*n**2 - 5*n**3 + 0*n = 0.
-5, -1, 0, 1
Let s(z) = 595*z**2 - 20675*z - 20700. Let y(o) = 139*o**2 - 4771*o - 4777. Let r(p) = 7*s(p) - 30*y(p). Factor r(c).
-5*(c + 1)*(c + 318)
Suppose -8*k + 103 = -17. Let z(f) = -f**3 - 20*f**2 - 33*f - 18. Let o(c) = -6*c**3 - 141*c**2 - 231*c - 126. Let d(g) = k*z(g) - 2*o(g). Factor d(q).
-3*(q + 1)*(q + 2)*(q + 3)
Suppose 227*d - 5807 = -5126. Solve 18/13*n**2 + 6/13*n**5 + 8/13 - 10/13*n**4 + 32/13*n - 22/13*n**d = 0.
-1, -1/3, 2
Let d = 1230305/8 - 153788. Factor 1/4*z**5 - 3/4*z**3 + 3/8 + d*z**4 - 1/2*z**2 + 1/2*z.
(z - 1)*(z + 1)**3*(2*z - 3)/8
Let r(k) be the second derivative of 1/60*k**5 - 167*k + 0*k**2 + 7/6*k**3 - 5/18*k**4 + 0. Factor r(h).
h*(h - 7)*(h - 3)/3
Let a = -5354 - -176690/33. Let b(q) be the first derivative of -8/11*q + 1/11*q**2 - 1/22*q**4 - 3 + a*q**3. Factor b(k).
-2*(k - 4)*(k - 1)*(k + 1)/11
Let i = 92 + -94. Let t(y) = 10*y**2 - 6*y - 7. Let q be t(i). Determine j so that -23*j**2 - 10*j**4 - q*j**3 - 15*j - 14*j**2 - 13*j**2 = 0.
-3, -1, -1/2, 0
Let s(t) be the second derivative of -2/3*t**2 - 1/18*t**4 + 2*t + 1/15*t**6 - 7/30*t**5 + 7/9*t**3 - 3. Determine d so that s(d) = 0.
-1, 1/3, 1, 2
Suppose g = 40*g - 1521. Suppose -33*l = -20*l - g. Let -4/7*j - 1/7*j**4 + 8/7 + 5/7*j**l - 6/7*j**2 = 0. Calculate j.
-1, 2
Suppose -33 = w + 5*t, -t = -63*w + 61*w + 11. Let a(m) be the first derivative of 8/3*m**3 - w*m**2 + 0*m - m**4 + 17. Factor a(x).
-4*x*(x - 1)**2
Let k be 1/2*(-34 - -112). Suppose -k*r = -29*r - 20. Factor 34/3*a**2 + 8/3*a**3 + 32/3*a + r.
2*(a + 1)*(a + 3)*(4*a + 1)/3
Let q = 106012 - 1060119/10. Let k be 4 + -1 - (-1)/(-2). Factor q + k*n**2 + n.
(5*n + 1)**2/10
Let g(f) be the second derivative of -f**4/22 + 2572*f**3/33 - 857*f**2/11 + 4388*f. Suppose g(d) = 0. Calculate d.
1/3, 857
Let w(j) = -39*j**3 + 23*j**2 - 78*j - 80. Let c(n) = -15*n**3 + 11*n**2 - 39*n - 41. Let m(g) = -5*c(g) + 2*w(g). Suppose m(k) = 0. Calculate k.
-5, -1, 3
Solve 4/3*i**2 - 4/3 - 982/3*i**3 + 982/3*i = 0.
-1, 2/491, 1
Let b be 4/(21 - (-4)/(-2)). Suppose 954 = -59138*h + 59615*h. Factor 10/19*r**h - b*r + 14/19*r**3 + 0.
2*r*(r + 1)*(7*r - 2)/19
Let c(x) be the third derivative of -x**7/1260 + x**6/60 - x**5/12 + 3*x**4/4 + 30*x**2. Let q(h) be the second derivative of c(h). Suppose q(o) = 0. What is o?
1, 5
Suppose 0 = -2*g + 3*o - 27, -25 = -g + 6*g + o. Let h be ((-12)/(-8))/((-9)/g + -1). Let -31*s**3 - h*s + 5*s + 29*s**3 = 0. What is s?
-1, 0, 1
Let h be (3 + -38 + 35)/10. Let 5/2*l**2 - 1/2*l**3 + 0*l + h = 0. Calculate l.
0, 5
Suppose 3*j + 20*c = 215, -6*j - 5 = -3*j - 2*c. Suppose 24*m - 85/4*m**2 - j - 21/4*m**3 = 0. What is m?
-5, 2/7, 2/3
Let z(p) be the third derivative of p**8/84 - 8*p**7/21 + 37*p**6/30 - 6*p**5/5 - 1005*p**2. Factor z(m).
4*m**2*(m - 18)*(m - 1)**2
Suppose 42*q - 3 = 45*q. Let i be ((-47)/(-1222))/(q/(-4)). Determine z so that i*z**3 + 0 + 0*z**2 - 2/13*z = 0.
-1, 0, 1
Factor -110*g**3 - 149 - 45*g**4 + 78*g**5 + 149 - 73*g**5.
5*g**3*(g - 11)*(g + 2)
Let q(w) be the third derivative of -1/80*w**5 + 0*w + 0 - 32*w**2 + 0*w**4 + 0*w**3. Solve q(h) = 0 for h.
0
Let d(h) be the third derivative of -h**5/180 - 157*h**4/72 - 26*h**3/3 - 7*h**2 + 13. Factor d(w).
-(w + 1)*(w + 156)/3
Determine j, given that -27*j - 1/4*j**4 + 135/4 + 9/2*j**2 + j**3 = 0.
-5, 3
Suppose 7021 = -5*h - m + 2*m, -5*h + 5*m - 7025 = 0. Let f = -1404 - h. Factor -2*g**2 - 15/2*g**3 + 0 - 7/4*g**4 + f*g.
-g**2*(g + 4)*(7*g + 2)/4
Factor 0 - 2/17*a**4 + 2250/17*a + 70/17*a**3 - 750/17*a**2.
-2*a*(a - 15)**2*(a - 5)/17
Let m be 1/(-2)*((-204)/(-36) - 7). Let c(z) be the second derivative of -z + 0 + m*z**3 - 3/2*z**4 + 0*z**2 + z**5. Solve c(f) = 0.
0, 2/5, 1/2
Let g(z) = -10*z**4 - 628*z**3 - 1264*z**2 - 16. Let o(c) = 19*c**4 + 1257*c**3 + 2528*c**2 + 30. Let r(h) = 15*g(h) + 8*o(h). Suppose r(i) = 0. What is i?
-316, -2, 0
Let k(z) = -z**2 - 65. Let h be k(30). Let o = 965 + h. Solve -1/3*s**2 + 0*s - 4/3*s**3 + o - s**4 = 0 for s.
-1, -1/3, 0
Let w(q) be the third derivative of q**6/60 + 13*q**5/30 + 19*q**4/12 - 11*q**3 + 6*q**2 - 8*q + 13. Suppose w(h) = 0. Calculate h.
-11, -3, 1
Let v(j) be the second derivative of -j**7/42 + 73*j**6/30 - 479*j**5/10 - 6937*j**4/6 - 27265*j**3/6 + 42025*j**2/2 + 8*j + 3. Let v(f) = 0. Calculate f.
-5, 1, 41
Let f(b) be the second derivative of -b**7/105 - b**6/20 + b**5/10 + 7*b**4/12 - 2*b**3 - 37*b**2 - 9*b. Let m(q) be the first derivative of f(q). Factor m(y).
-2*(y - 1)**2*(y + 2)*(y + 3)
Factor -9 + 1/5*i**3 - 57/5*i - 11/5*i**2.
(i - 15)*(i + 1)*(i + 3)/5
Let h(l) = l**4 - l**3 + l**2 - 2*l. Suppose 6*s = 3*s + 6. Let k(p) = -51*p**4 - 57*p**3 - 4*p. Let v(i) = s*h(i) - k(i). Factor v(z).
z**2*(z + 1)*(53*z + 2)
Let l = -493 + 532. Let s = l - 36. Factor -4/3*x**4 + 2/3*x**5 + 0*x**s + 4/3*x**2 - 2/3*x + 0.
2*x*(x - 1)**3*(x + 1)/3
Let f(s) be the first derivative of 4/21*s**3 + 33 - 1/42*s**4 + 4/7*s - 11/21*s**2. Factor f(m).
-2*(m - 3)*(m - 2)*(m - 1)/21
Let a(z) be the first derivative of -z**6/18 + 3*z**5/5 + 7*z**4/4 + 11*z**3/9 - 2466. Find l, given that a(l) = 0.
-1, 0, 11
Let x be ((-27)/30 + (-6)/60)*-4. Let d be -6 + ((-34)/85)/(x/(-85)). Factor -1/2*h**5 + 2*h**4 - d*h**3 + 0 + 0*h + h**2.
-h**2*(h - 2)*(h - 1)**2/2
Let b(p) be the second derivative of 33*p + 0*p**4 - 3/100*p**5 + 0 + 24/5*p**2 + 6/5*p**3. Solve b(d) = 0 for d.
-2, 4
Let a(j) be the second derivative of -j**5/140 + j**4/4 - 95*j**3/42 + 75*j**2/14 - j - 91. Let a(q) = 0. Calculate q.
1, 5, 15
Suppose -3*d + 3*i + 22 + 5 = 0, 2*d - 4*i = 26. Factor z**4 - 17 + 24 - 18*z + d*z**2 - 16*z**2 - 15.
(z - 4)*(z + 1)**2*(z + 2)
Let w be 4*(26/12 - (-32)/96). What is u in 22*u + 4*u**2 + 16*u + w*u - 7*u**2 - 45 = 0?
1, 15
Let g(t) be the first derivative of t**6/160 - 7*t**5/80 - t**4/4 - 51*t**2 + 122. Let o(c) be the second derivative of g(c). Determine x so that o(x) = 0.
-1, 0, 8
Let p(f) = -f**4 - f - 2. Let j(x) = -x**5 - 10*x**4 - 25*x**3 + 31*x**2 + 63*x - 54. Let r(i) = -j(i) - p(i). Determine s, given that r(s) = 0.
-7, -4, -2, 1
Let b(q) be the first derivative of -719/13*q**4 - 3745/13*q**2 - 85 + 2450/13*q - 1/39*q**6 + 146/65*q**5 + 7772/39*q**3. Factor b(f).
-2*(f - 35)**2*(f - 1)**3/13
Suppose -23*g + 16 = 16. Let x(w) be the second derivative of g*w**2 + 0 - 3/20*w**5 + 1/2*w**3 + 18*w + 1/5*w**6 - 1/2*w**4. Suppose x(h) = 0. Calculate h.
-1, 0, 1/2, 1
Let p(f) be the se