 + 12. Let z = i - -5. Factor -4*t + z*t**2 + 10*t + 2*t + 4.
4*(t + 1)**2
Let v(z) = -2*z**2 - 13*z + 15. Suppose -12*p + p - 154 = 0. Let f(l) = 5*l**2 + 26*l - 31. Let i(n) = p*v(n) - 6*f(n). Factor i(w).
-2*(w - 12)*(w - 1)
Suppose -28/5*t + 1/5*t**2 - 29/5 = 0. Calculate t.
-1, 29
Let j(y) be the second derivative of -3*y**5/80 + 3*y**4/8 - y**3 - 2*y + 9. Factor j(x).
-3*x*(x - 4)*(x - 2)/4
Let h = -2 - -7. Factor -10*u**4 + 28*u**2 + 35*u + 10*u**3 + 57 - 5*u**h - 47 + 12*u**2.
-5*(u - 2)*(u + 1)**4
Let i = 1135/6 + -7933/42. Factor -6/7*t - i*t**2 + 8/7.
-2*(t - 1)*(t + 4)/7
Suppose -93*w - 3/2*w**2 - 2883/2 = 0. Calculate w.
-31
Let s(y) be the third derivative of -y + 5/72*y**4 - 1/360*y**5 + 0 - 25/36*y**3 - 7*y**2. Determine g, given that s(g) = 0.
5
Let j be 7015/7320 - (-1 - (-5)/8). Factor -8/3 - 2/3*k**4 + 2*k**2 + 8/3*k - j*k**3.
-2*(k - 1)**2*(k + 2)**2/3
Find j such that -16 + 20*j**2 - 732*j**4 + 12*j**3 - 12*j + 359*j**4 + 369*j**4 = 0.
-1, 1, 4
Let w = -2/371 - 55275/742. Let r = -73 - w. Determine t so that 9/2*t**4 - 15/2*t**3 + r*t**2 + 3/2*t + 0 = 0.
-1/3, 0, 1
Let l(u) = u + 2. Let i be l(-2). Find t such that 47*t**4 + 6*t**3 - 45*t**4 - 8*t**2 + i*t**2 = 0.
-4, 0, 1
Let k(y) be the second derivative of -4/3*y**4 - 2/5*y**5 - 12*y + 0 + 4/3*y**3 + 2/15*y**6 + 6*y**2. Factor k(n).
4*(n - 3)*(n - 1)*(n + 1)**2
Suppose 77 = 12*g + 53. Suppose -8 = q - 2*x, 4*q - 18 = -0*x - 2*x. Factor -2*j + 3*j + q*j**g - 2*j - j**2.
j*(j - 1)
Let z(b) be the third derivative of 0*b**3 + 0 - 1/210*b**5 + 0*b + 1/42*b**4 - 1/420*b**6 + 14*b**2. Factor z(n).
-2*n*(n - 1)*(n + 2)/7
Factor 1/4*p**3 + 1/4*p**2 - 1/4*p + 0 - 1/4*p**4.
-p*(p - 1)**2*(p + 1)/4
Let c(j) be the first derivative of -3*j**4/4 + 7*j**3 - 33*j**2/2 + 15*j + 30. Factor c(l).
-3*(l - 5)*(l - 1)**2
Let y(o) be the second derivative of -o**5/25 + 8*o**4/15 - 32*o**3/15 + o - 21. Solve y(q) = 0 for q.
0, 4
Let s be (5 - -7)*(-1)/(-3). Suppose -11 = -s*g + q, 0*q + 2*q + 10 = 4*g. Suppose -6 + 9*x**2 - 5*x - x**4 - 2*x**4 + 3*x**g + 2*x = 0. What is x?
-1, 1, 2
Let w(q) = -q**2 + 60*q - 642. Let b be w(46). Let 2/3*s**b - 4/3 + 2/3*s = 0. What is s?
-2, 1
Let z = 19/31 + 79/124. Factor 15/4*w**2 + 0 - z*w**3 + 5*w.
-5*w*(w - 4)*(w + 1)/4
Suppose 4*d - 40 - 36 = 0. Suppose -5*g + d = -1. Solve 8 - p**g + p + p - 2*p - 5*p**3 - 6*p**2 + 4*p = 0 for p.
-2, 1
Let g(w) = -13*w**2 + 4*w - 7. Let n(c) = 5*c**2 - c - 1. Let s(z) = -4*g(z) - 12*n(z). Factor s(v).
-4*(v - 2)*(2*v + 5)
Let b(h) be the first derivative of -9/5*h - 10 - 1/30*h**6 - 2/3*h**3 + 3/10*h**4 + 3/25*h**5 - 21/10*h**2. Factor b(i).
-(i - 3)**2*(i + 1)**3/5
Suppose 59*c = 56*c + 12. Solve -6 + c*g**4 + 10 - 5*g**4 + 8*g**3 - 3*g**4 - 8*g = 0.
-1, 1
Let 15*r**2 + 15*r**4 - 30*r**4 - 7*r**3 + 3*r**2 + 14*r**4 = 0. Calculate r.
-9, 0, 2
Let c(n) be the second derivative of -9/11*n**2 - 7/66*n**4 + 5/11*n**3 + 1/110*n**5 - 11*n + 0. Find b, given that c(b) = 0.
1, 3
Let k be (-5 - 0) + (-2)/3. Let g = -25/6 - k. Solve -1/2*b**2 - g*b + 0 = 0 for b.
-3, 0
Let w be 7644/1568 - (-30)/(-16). Factor -2/11*n**2 + 2/11 + 2/11*n**w - 2/11*n.
2*(n - 1)**2*(n + 1)/11
Let r(k) be the first derivative of 2*k**5/5 + 5*k**4 - 26*k**3 + 4*k**2 + 104*k + 195. Factor r(o).
2*(o - 2)**2*(o + 1)*(o + 13)
Factor 0 - 6*l**3 - 98/5*l - 2/5*l**4 - 126/5*l**2.
-2*l*(l + 1)*(l + 7)**2/5
Let i(m) be the first derivative of m**4/2 - 8*m**3/3 - m**2 + 8*m + 156. Factor i(a).
2*(a - 4)*(a - 1)*(a + 1)
Let y = 103 - 201/2. Let c = -1092 - -4389/4. Solve 9/4*u**5 + 3/2*u**2 + y*u**3 - c*u**4 - 1/4 - 3/4*u = 0 for u.
-1/3, 1
Let p be 1826/10 + (-2)/(-1 + -1). Let u = -183 + p. Let -u*k + 3/5 + 3/5*k**3 - 3/5*k**2 = 0. What is k?
-1, 1
Let w(s) be the second derivative of s**7/21 - 6*s**6/5 - 4*s**5 - s**4/3 + 13*s**3 + 20*s**2 + s - 224. Let w(k) = 0. What is k?
-1, 1, 20
Let u(p) be the second derivative of -p**8/10080 - 13*p**7/3780 - 29*p**4/12 + 45*p. Let a(d) be the third derivative of u(d). Factor a(s).
-2*s**2*(s + 13)/3
Determine p so that 7*p**2 - 1118*p - 25*p**3 - 10 + 3*p**2 + 1143*p = 0.
-1, 2/5, 1
Suppose -x + 11 = r, -10*x + 37 = 2*r - 5*x. Let d(z) be the third derivative of 1/3*z**4 + 1/120*z**r - 8*z**2 + 0*z + 1/12*z**5 + 0 + 2/3*z**3. Factor d(m).
(m + 1)*(m + 2)**2
Let k = 170 - 113. Let b = -57 + k. Factor 2/17*t + b*t**2 + 0 - 2/17*t**3.
-2*t*(t - 1)*(t + 1)/17
Let -17*a**3 + 2*a**3 + 0*a**2 + 2*a**2 - 2*a**4 - 3*a**3 - 4*a**3 + 22*a = 0. Calculate a.
-11, -1, 0, 1
Let z(w) be the first derivative of 19 + 2*w + 19/6*w**3 + 7/2*w**2 + 1/24*w**6 + 2/5*w**5 + 25/16*w**4. Factor z(f).
(f + 1)**2*(f + 2)**3/4
Suppose 7/2*q - 1/4*q**2 - 49/4 = 0. What is q?
7
Let c be (100/14)/((-660)/(-616)). Let 4/3*s**2 + 0 - c*s = 0. What is s?
0, 5
Let j(a) = -60*a**3 + 30*a**2 + 110*a - 5. Let s(q) = -q**4 - q**3 - 2*q**2 + 2*q - 1. Let p(b) = -j(b) + 5*s(b). Factor p(l).
-5*l*(l - 10)*(l - 2)*(l + 1)
Let q(h) be the third derivative of 0*h + 25/24*h**4 - 1/12*h**5 - 10/3*h**3 + 14*h**2 + 0. Factor q(t).
-5*(t - 4)*(t - 1)
Factor 56/9 - 20/3*b + 4/9*b**2.
4*(b - 14)*(b - 1)/9
Let m(n) be the second derivative of n**6/15 + 4*n**5/5 - 15*n**4 + 72*n**3 - 135*n**2 + 312*n. Suppose m(p) = 0. Calculate p.
-15, 1, 3
Determine c, given that -321/5*c**2 - 232/5*c**3 - 16/5*c**4 - 118/5*c - 13/5 = 0.
-13, -1, -1/4
Let l(v) be the first derivative of 3*v**4/16 + 3*v**3/2 - 45*v**2/8 + 6*v - 94. Factor l(w).
3*(w - 1)**2*(w + 8)/4
Suppose -115*i = -88*i. Let b(m) be the third derivative of -1/300*m**6 + 0*m**4 + i*m - 1/525*m**7 + 0*m**3 + 0*m**5 + 11*m**2 + 0. Find v such that b(v) = 0.
-1, 0
Let x(c) be the second derivative of c**6/270 + 4*c**5/45 - c**4/36 - 23*c**3/27 + 16*c**2/9 - 8*c - 16. Find y, given that x(y) = 0.
-16, -2, 1
Suppose -119*u + 121*u = -2*s + 12, -2*s + 12 = 3*u. Factor 3/7*j**4 - 3/7 - 6/7*j**3 + u*j**2 + 6/7*j.
3*(j - 1)**3*(j + 1)/7
Suppose 4*q - 8 - 8 = 0. Let o be (6/q)/((-8)/(-16)). Factor -28*h - 2 - 6 - 9*h**2 - 11*h**2 - 4 - 4*h**o.
-4*(h + 1)**2*(h + 3)
Factor 92/5*s + 0 - 2/5*s**2.
-2*s*(s - 46)/5
Find h, given that -4/3 + 14/3*h**2 - 10/3*h = 0.
-2/7, 1
Let o(t) be the third derivative of -t**6/24 - t**5/4 + 15*t**4/8 - 25*t**3/6 - 60*t**2. Suppose o(q) = 0. What is q?
-5, 1
Let v = 70 - 68. Let t(z) be the first derivative of 3/26*z**4 + 1/39*z**6 + 3 - 2/39*z**3 + 0*z**v + 0*z - 6/65*z**5. Solve t(s) = 0 for s.
0, 1
Suppose -2*s + 353 - 349 = 0. Suppose s*r = 24*r - 44. Determine x so that 4/11 + 6/11*x - 6/11*x**r - 4/11*x**3 = 0.
-2, -1/2, 1
Let s(h) be the second derivative of 6*h + 0*h**3 + 1/48*h**4 + 0 + 0*h**2. Solve s(x) = 0.
0
Let h(j) be the third derivative of 1/160*j**5 + 0*j - 8*j**2 + 0 - 1/8*j**3 + 1/64*j**4. Determine m so that h(m) = 0.
-2, 1
What is l in 5/2*l**2 + 2/3 - 16/3*l = 0?
2/15, 2
Let b(v) = 3*v**2 - 5*v**2 - 43*v + 63*v - 2. Suppose 0*z - 3*z - 3 = 0. Let g(h) = h**2 + h - 1. Let i(c) = z*b(c) + 6*g(c). Factor i(k).
2*(k - 2)*(4*k + 1)
Let o be 15/36 + 17/(-51). Let q(y) be the second derivative of 1/30*y**6 + 7*y + 0*y**2 + 0 + 0*y**3 - 1/10*y**5 + o*y**4. Solve q(g) = 0 for g.
0, 1
Determine x so that -1/2*x**2 + 0 - 5*x = 0.
-10, 0
Solve -15/2*k**2 - 411/2*k**3 - 135/2*k**5 + 543/2*k**4 + 0 + 9*k = 0.
-1/5, 0, 2/9, 1, 3
Let c(s) be the third derivative of -s**8/336 + s**7/30 - s**6/10 - s**5/15 + 2*s**4/3 + 218*s**2. What is z in c(z) = 0?
-1, 0, 2, 4
Let j = 43079 - 43077. Factor -16/23 - 76/23*k**j - 56/23*k - 2/23*k**5 - 16/23*k**4 - 50/23*k**3.
-2*(k + 1)**2*(k + 2)**3/23
Let n(l) = -l**3 - l**2 - l. Let d(i) be the first derivative of 0*i**2 + 2/3*i**3 + 0*i - 1. Let a(t) = -3*d(t) - 2*n(t). Find m such that a(m) = 0.
0, 1
Let i(v) be the second derivative of v**6/165 + 98*v**5/55 + 2401*v**4/11 + 470596*v**3/33 + 5764801*v**2/11 + 79*v - 2. Factor i(n).
2*(n + 49)**4/11
Let l(h) be the second derivative of 121*h**4/4 + 33*h**3 + 27*h**2/2 - 73*h. Suppose l(r) = 0. Calculate r.
-3/11
Let y(n) = -n**3 - 2*n**2 - n. Let g(o) = 4*o**3 - 3*o**2 + 34*o - 15. Let j(q) = 3*g(q) + 15*y(q). Factor j(w).
-3*(w - 1)**2*(w + 15)
What is v in 7*v**4 + 780*v - 115*v + 93*v**2 - 5*v**4 + 52*v**2 - 1470 - 65*v**3 + 3*v**4 = 0?
-3, 2, 7
Factor 30*f**3 - 61*f**3 - 5*f**2 - 13*f - 7 + 32