+ 46*i**2 + 25 + 13*i**2 + 55*i - z*i - 20*i**5 + 113*i = 0?
-5, -1, -1/4, 1
Suppose 0 = 35*v - 120 - 55. Let q(g) be the second derivative of 1/4*g**v + 5/12*g**4 - 5*g + 0 + 1/84*g**7 + 5/12*g**3 + 1/4*g**2 + 1/12*g**6. Factor q(t).
(t + 1)**5/2
Let v(i) be the first derivative of -i**5/35 - 9*i**4/28 + 4*i**3/21 + 18*i**2/7 - 10444. Suppose v(w) = 0. What is w?
-9, -2, 0, 2
Let t(q) be the second derivative of -q**5/20 - q**4/12 - q**3/6 + q**2/2 - 26*q. Let p(l) = 2*l**2 + 2*l - 2. Let k(z) = p(z) + t(z). Solve k(c) = 0.
-1, 1
Suppose -4/11*g**4 + 2/11*g**5 + 0 + 4/11*g**2 - 18/11*g**3 + 16/11*g = 0. Calculate g.
-2, -1, 0, 1, 4
Suppose 0 = t + 5*q - 67, 1548*t = 1551*t + q - 19. Determine b, given that 0 - 4/9*b**5 + 0*b**t - 8/9*b**3 + 0*b - 4/3*b**4 = 0.
-2, -1, 0
Suppose 0 = 744*h - 1662 - 570. Determine u so that 134/3*u**2 + 212/3*u + 88/3 - u**4 + 19/3*u**h = 0.
-2, -2/3, 11
Let g(v) be the first derivative of -34 + 112*v - 52/21*v**3 + 20*v**2 + 1/14*v**4. Suppose g(x) = 0. Calculate x.
-2, 14
Let d(o) be the first derivative of 0*o**3 + 1/4*o**4 + 0*o + 56 + 0*o**2. Factor d(q).
q**3
Let p(w) be the third derivative of 3/4*w**4 + 164*w**2 + 0*w**3 + 0*w - 1/5*w**5 + 0 + 1/60*w**6. Factor p(f).
2*f*(f - 3)**2
Let i(f) = -13*f**5 - 11*f**4 - 4*f**3 + 10*f**2 + 32*f + 10. Let y(c) = 2*c**5 + c**4 + c**2 + 1. Let m(v) = i(v) + 6*y(v). Factor m(q).
-(q - 2)*(q + 1)*(q + 2)**3
Suppose -68 = -46*y + 29*y. Suppose y*f = 0, -r - 4*f = -7*f - 2. Factor -1/8*t**r + 3/4*t - 9/8.
-(t - 3)**2/8
Let z(d) be the second derivative of -d**5 + 5/3*d**3 + 0*d**2 + 35/12*d**4 + 14 + 2*d. What is a in z(a) = 0?
-1/4, 0, 2
Let b(p) be the first derivative of -2*p**3/33 - p**2 - 36*p/11 - 774. Factor b(x).
-2*(x + 2)*(x + 9)/11
Let p(c) be the third derivative of 0*c**5 + 0*c**4 + 1/630*c**7 + 0 + 1/2016*c**8 + 2*c + 1/720*c**6 + 49*c**2 + 0*c**3. Find w, given that p(w) = 0.
-1, 0
Suppose 5*v - 4*y = -1, 7*v = 3*v + 4*y. Let f be (-1394)/(-123) + v*10. Factor -16*l - 48 - f*l**2.
-4*(l + 6)**2/3
Suppose 0 = -23*o - o + 144. Let x be (-108)/45 + o - 3/5. Determine q so that 96/7*q + 36/7*q**x + 116/7*q**2 + 16/7 = 0.
-2, -1, -2/9
Let f = 167272/250909 - -2/752727. Factor -f*k**2 - 2*k + 0 + 1/6*k**3.
k*(k - 6)*(k + 2)/6
Suppose 2*i - 12 = 739*v - 722*v, 3*i = v + 67. Suppose -6/5*h**v + 6 - 8/5*h = 0. What is h?
-3, 5/3
Let d be 129/(-51) - (0 + -3). Let k be (70/1547*13)/1. Factor k*x**3 - 16/17*x + 14/17*x**2 - d.
2*(x - 1)*(x + 2)*(5*x + 2)/17
Let g be 10*1/(-6)*(28/(-350) + 0). Let b(x) be the first derivative of 1 - 2/5*x**2 - 2/5*x - g*x**3. Determine s so that b(s) = 0.
-1
Let m(h) = 11*h - 41. Let j be m(4). Solve -201*b**j + 8*b**5 - 87*b**2 - 96*b + 97*b**3 - 20 - 73*b**2 - 11*b**4 - b**4 = 0.
-1, -1/2, 5
Factor 18*v**2 + 3*v**4 - 31*v**3 + 0*v**4 + 99 - 156*v + 54*v**3 + 13*v**3.
3*(v - 1)**2*(v + 3)*(v + 11)
Let d = -30102183/111655 - 1/22331. Let f = 272 + d. Factor f + 36/5*r - 21/5*r**2.
-3*(r - 2)*(7*r + 2)/5
Factor -5*f**3 - 53/3*f + 1/3*f**4 - 17*f**2 - 6.
(f - 18)*(f + 1)**3/3
Let b(y) be the third derivative of y**8/6720 + y**7/240 - 3*y**6/40 - y**5/20 - 5*y**4/24 + 17*y**2 - 2. Let d(g) be the third derivative of b(g). Factor d(k).
3*(k - 2)*(k + 9)
Let h(p) be the second derivative of -1/14*p**2 - 1/21*p**3 + 104*p + 1/12*p**4 - 1/35*p**5 + 0. Solve h(g) = 0.
-1/4, 1
Let x(k) = 5*k**2 - 490*k + 825. Let j be (-14)/(3 + 66/(-18)) - 6. Let w(o) = -o**2 + 70*o - 118. Let y(m) = j*w(m) + 2*x(m). Factor y(h).
-5*(h - 12)*(h - 2)
Let c(f) be the first derivative of -f**6/20 - 9*f**5/10 - 15*f**4/4 - 7*f**3 - 27*f**2/4 + 46*f - 29. Let d(q) be the first derivative of c(q). Factor d(i).
-3*(i + 1)**3*(i + 9)/2
Let d(s) be the first derivative of s**3/12 - 385*s**2/8 - 387*s/2 + 78. Factor d(b).
(b - 387)*(b + 2)/4
Factor -31*f**3 - 195 - 21*f**2 - 28*f**3 - 24*f**2 + 98*f**3 - 245*f - 34*f**3.
5*(f - 13)*(f + 1)*(f + 3)
Let k(i) = i**3 + 13*i**2 - 39*i - 107. Let d be k(-15). Let j be 24/(-28)*d/(-30). Determine c, given that 4/5*c - j - 1/5*c**2 = 0.
2
Let a(n) = 94*n**3 - 1121*n**2 + 3662*n - 1256. Let j(x) = 660*x**3 - 7850*x**2 + 25635*x - 8790. Let s(t) = -15*a(t) + 2*j(t). Factor s(p).
-5*(p - 6)**2*(18*p - 7)
Factor -119286 + 564*r - 2/3*r**2.
-2*(r - 423)**2/3
Let w = -298 - -294. Let b(m) = -7*m**4 - 13*m**3 + 9*m**2 + 12*m - 3. Let t(p) = p + 1. Let f(u) = w*b(u) - 4*t(u). Determine d, given that f(d) = 0.
-2, -1, 1/7, 1
Let m(g) = g**2 + 7*g + 12. Let c be m(-4). Let c*i + 9*i - 9*i**3 + 5*i**2 + 0*i + 6*i**2 - 6*i**4 - 5*i**2 = 0. What is i?
-3/2, -1, 0, 1
Let j(n) be the third derivative of n**5/210 + 9*n**4/28 + 50*n**3/21 + 1310*n**2. What is s in j(s) = 0?
-25, -2
Suppose -20*l + 17*l + 15 = 0. Let a be (9/(-6))/(l/(-10)). Factor 0*n**3 - 2 + 3*n - 3*n**3 + 2*n**a.
-(n - 1)**2*(n + 2)
Let w(p) be the first derivative of p**3/3 + p**2/2 + 7*p + 140. Let n(v) = -2*v**2 - v - 15. Let c(m) = 6*n(m) + 14*w(m). Determine k so that c(k) = 0.
-2
Let l(r) = -r**2 + 12*r + 3. Let w be l(12). Factor -8*d**2 + 30*d**2 - 25*d + d**3 + w*d**3 - 2*d**3 - 27*d.
2*d*(d - 2)*(d + 13)
Let x = 1/43572 - -43567/217860. Let b(v) be the first derivative of -x*v**5 - 3/4*v**4 + 0*v**3 + 0*v - 27 + 2*v**2. Factor b(u).
-u*(u - 1)*(u + 2)**2
Let s(i) be the third derivative of 1/180*i**5 + 0 - i**2 - 1/36*i**4 - 5/6*i**3 + 9*i. Factor s(t).
(t - 5)*(t + 3)/3
Let z(v) = -4*v**3 - 2*v**2 + 2*v + 2. Let c be z(-2). Suppose -2*w + c = -24. Factor -31 - 14 - f**3 + 2*f**2 + w*f**2 - 15*f - 4*f**3.
-5*(f - 3)**2*(f + 1)
Suppose -15*m = 4*m - 76. Factor 16*w**3 - 8 - 13 + 8*w**2 + 22 - 9 - 12*w - m*w**5.
-4*(w - 2)*(w - 1)*(w + 1)**3
Factor 3/2*b**2 + 30 - 63/2*b.
3*(b - 20)*(b - 1)/2
Let k be 5/(-1) + 15 + (-208)/(-32). Determine t, given that 1/4*t**2 + 1089/4 - k*t = 0.
33
Factor -20/13*p + 2/13*p**3 + 16/13 + 2/13*p**2.
2*(p - 2)*(p - 1)*(p + 4)/13
Let l(f) = 3*f**2 + 765*f + 3752. Let w be l(-5). Factor 3/8*r**w + 9/8*r - 27/4.
3*(r - 3)*(r + 6)/8
Let f(j) = -15*j**3 - 587*j**2 - 5719*j - 5130. Let r(g) = 5*g**3 + 196*g**2 + 1907*g + 1710. Let v(t) = 6*f(t) + 17*r(t). Determine q, given that v(q) = 0.
-19, -18, -1
Let k(t) be the second derivative of t**5/80 - 83*t**4/4 - 261*t + 9. Factor k(w).
w**2*(w - 996)/4
Let v(x) = -x**2 + 17*x - 12. Let s be v(16). Let i be 1/2 + 114/(-380). Factor 0*z + 2/5*z**3 - 1/5*z**2 + 0 - i*z**s.
-z**2*(z - 1)**2/5
Let y(d) = 3*d**3 + d**2 + d. Let l(h) be the first derivative of 4*h**4 - 40*h**3/3 + 3*h**2 - 51. Let r(x) = 2*l(x) - 12*y(x). Factor r(p).
-4*p**2*(p + 23)
Let b(q) be the third derivative of q**6/60 - 64*q**5/15 - 175*q**4/4 - 132*q**3 + 6*q**2 + 20*q - 2. Determine s, given that b(s) = 0.
-3, -1, 132
Let c be 2*(-3)/16 - (-24)/64. Let n be (c - (-95)/110) + (-1)/2. Factor -2/11*b**3 + n - 4/11*b**2 + 2/11*b.
-2*(b - 1)*(b + 1)*(b + 2)/11
Let w(l) be the second derivative of l**4/54 - 160*l**3/27 - 161*l**2/9 + 8*l - 9. Factor w(a).
2*(a - 161)*(a + 1)/9
Factor 2*i - 2/9*i**2 + 104/9.
-2*(i - 13)*(i + 4)/9
Let l(v) be the second derivative of -26*v + 0 - 3/5*v**5 + 3*v**3 + 0*v**2 - 3/10*v**6 + 17/4*v**4. Factor l(y).
-3*y*(y - 2)*(y + 3)*(3*y + 1)
Suppose -3*u = 5*n + 115, 3*u + 92 = -4*n + 5*u. Let k be 24/9 - n/(-12). Find o, given that -3/4*o**2 - k + 3/2*o = 0.
1
Let q(x) be the third derivative of -35/2*x**3 + 1/4*x**4 + 0 - 19*x**2 + 1/20*x**5 - 9*x. Solve q(w) = 0 for w.
-7, 5
Let c be (85/(-15) + 5)*66/4. Let p(h) = -5*h**3 + 35*h - 30. Let x(s) = -10*s**3 + 70*s - 60. Let n(f) = c*p(f) + 6*x(f). What is v in n(v) = 0?
-3, 1, 2
Let j = 289/362 - -8405/3982. Let -12/11*a - j + 2/11*a**2 = 0. Calculate a.
-2, 8
Let k(t) be the first derivative of -4*t**5/5 + 3*t**4 + 44*t**3/3 - 6*t**2 - 40*t + 95. Let k(u) = 0. Calculate u.
-2, -1, 1, 5
Suppose 24/7*i**2 + 440/7*i - 2/7*i**4 - 34/7*i**3 + 544/7 = 0. Calculate i.
-17, -2, 4
Let v(i) be the second derivative of 1/20*i**5 - 2 + i + 0*i**2 + 2/3*i**3 + 1/3*i**4. Factor v(s).
s*(s + 2)**2
Let z(n) be the third derivative of -10/9*n**3 - 5 - 5/504*n**8 + 2/35*n**7 + 19/90*n**6 + 0*n - 11/12*n**4 - 4/45*n**5 - 5*n**2. Suppose z(x) = 0. Calculate x.
-1, -2/5, 1, 5
Let y(u) be the second derivative of -u**6/75 + 7*u**5/10 - 49*u**4/5 + 274*u - 3. De