+ f**2/3 - 4*f/3 - 135. Factor d(t).
-2*(t - 2)*(t - 1)*(t + 1)/3
Let f = -5 - -26. Factor -2*c**5 - f*c**2 - 15*c**3 + 21*c**2 - 20*c**4 - 3*c**5.
-5*c**3*(c + 1)*(c + 3)
Factor 168 + 13*q**2 + 34*q**2 + 65*q + 44*q**3 + 4*q**4 - 60*q - 289*q + 21*q**2.
4*(q - 1)**2*(q + 6)*(q + 7)
Let x = -956 + 959. Let v(n) be the first derivative of -1/2*n**2 + 2*n - n**x + 9. Let v(s) = 0. What is s?
-1, 2/3
Let z be (-68)/(-18) - (208/(-72))/13. Let m(k) be the third derivative of -1/30*k**6 + 0 - 4*k**2 + 1/3*k**5 - 4/3*k**z + 0*k + 8/3*k**3. Factor m(s).
-4*(s - 2)**2*(s - 1)
Let f(g) be the third derivative of -1/960*g**6 + 5/192*g**4 + 1/480*g**5 + 0 - 11*g**2 + 1/16*g**3 + 0*g. Determine r, given that f(r) = 0.
-1, 3
Let a(z) be the second derivative of 45*z - 10/3*z**3 + 1/3*z**4 + 0*z**2 + 0. Suppose a(p) = 0. What is p?
0, 5
Let s(q) = 4*q**2 + 26*q + 24. Let l(r) = -20*r**2 - 132*r - 120. Let c(g) = -3*l(g) - 16*s(g). Find a, given that c(a) = 0.
-3, -2
Suppose -10 = -5*s, -55*m - 4 = -50*m - 2*s. Let o(y) be the second derivative of 1/2*y**2 - 1/12*y**4 - 7*y + m*y**3 + 0. Solve o(q) = 0.
-1, 1
Let k(o) be the first derivative of -o**6/15 - 2*o**5/5 + 4*o**4/5 + 32*o**3/5 - 102. Factor k(c).
-2*c**2*(c - 3)*(c + 4)**2/5
Solve 38/7 - 40/7*y + 2/7*y**2 = 0 for y.
1, 19
Let j be (18/15)/(-3)*-1. Let n be (-1 - 8/(-5))/((-72)/(-48)). Factor 4/5 - n*w**2 + j*w.
-2*(w - 2)*(w + 1)/5
Let l be -44*(-1 - (-4)/16 - 0). Suppose -l = -8*q - 9. Factor -16/9*v**4 + 0*v - 2/3*v**5 - 4/9*v**2 + 0 - 14/9*v**q.
-2*v**2*(v + 1)**2*(3*v + 2)/9
Let o be 146/14 + 4/7. Let f = o + -9. Factor -6*d**2 + 9*d**f - 8 + 2 - 3*d.
3*(d - 2)*(d + 1)
Factor 2187/4 + 3/4*p**2 - 81/2*p.
3*(p - 27)**2/4
Suppose 0 = -2*a + g + 371, -929 = 3*a - 8*a + 3*g. Factor 196*q**4 - 8*q**3 - 7*q**5 - a*q**4 + 3*q**5.
-4*q**3*(q - 2)*(q - 1)
Let z(h) be the first derivative of h**3/15 + 16*h**2/5 + 31*h/5 - 304. Let z(u) = 0. What is u?
-31, -1
Factor 13*p**2 - 355*p**3 + 361*p**3 - 9*p**2 - 5*p + 21*p + 24*p**2.
2*p*(p + 4)*(3*p + 2)
Let u be 136/3*70/(-300). Let m = u + 54/5. Factor 2/9*b**3 + 0 + 4/9*b**2 + m*b.
2*b*(b + 1)**2/9
Let w = -75 + 69. Let y be -1*(2 + (-6 - (4 + w))). Factor 0*l - 2/9*l**3 + 0 + 2/9*l**y.
-2*l**2*(l - 1)/9
Let -562*d - 49/2*d**4 + 1162*d**3 - 94 - 963/2*d**2 = 0. What is d?
-2/7, 1, 47
Let n = 437/870 + -1/435. Let i(x) be the second derivative of -n*x**2 + 0 - 7*x + 1/9*x**3 + 1/36*x**4. Determine v so that i(v) = 0.
-3, 1
Let n = 48665/3 - 16221. Determine p so that 16/3*p - n*p**4 + 0 + 4*p**3 - 8*p**2 = 0.
0, 2
Find n such that 5/6*n**4 + 47/6*n**3 + 63/2*n + 51/2*n**2 + 9 = 0.
-3, -2/5
Let t = -432 - -460. Suppose 2*f + 0 = 6. Factor -t*u**f - 31*u + 2*u**2 + 31*u - 10*u**2.
-4*u**2*(7*u + 2)
Let w = -9 - -12. Suppose w*d = d + 8. Determine x so that 14*x**d + x**3 - 7*x**3 - 4 - 12*x**3 + 18*x - 10*x**2 = 0.
-1, 2/7, 1
Suppose -3*b + 42 = 7*r, -22*b + 13 = 2*r - 21*b. Find s, given that -2*s - 1/2*s**4 + 0 + 7/2*s**2 - s**r = 0.
-4, 0, 1
Suppose -135 = -3*k - 2*k. Suppose k = -5*v + 582. Determine c, given that -c**4 - 7*c**4 - 121*c**2 - 4*c + v*c**2 + 22*c**3 = 0.
-1/4, 0, 1, 2
Let p(t) be the third derivative of 3*t**5/160 - 121*t**4/64 + 5*t**3/2 - 2*t**2 - 90. Factor p(o).
3*(o - 40)*(3*o - 1)/8
Let q be (7 + -1)*7/14. What is w in 30*w**2 - 2*w**3 + 4 - 18*w**2 + 4*w - 16*w**2 - 2*w**q = 0?
-1, 1
Let r be (-20 + 476/24)/(52/(-48)). Suppose 6/13*j**2 - 2/13*j**3 - 4/13 + 2/13*j - r*j**4 = 0. Calculate j.
-2, -1, 1
Let d(l) be the second derivative of -2*l**6/15 + 14*l**5/5 - 12*l**4 + 68*l**3/3 - 22*l**2 + 2*l + 15. Factor d(v).
-4*(v - 11)*(v - 1)**3
Suppose 4*x = -29 - 3. Let h = 4 + x. Let a(l) = 4*l**3 - l**2 + 13*l. Let k(v) = v**3 + 3*v. Let o(s) = h*a(s) + 18*k(s). Factor o(f).
2*f*(f + 1)**2
Let d be (-5)/(-1)*1836/2511. Let m = d + 52/31. Factor -4/3*f**2 + m*f**3 - 4*f**4 + 0 + 0*f.
-4*f**2*(f - 1)*(3*f - 1)/3
Let a(q) be the first derivative of -7*q**4 + 220*q**3/3 + 142*q**2 + 36*q - 222. Suppose a(r) = 0. What is r?
-1, -1/7, 9
Let m be 82*(-2)/(-240) + 60/(-100). Let c(i) be the third derivative of 0*i**3 + 0 - m*i**4 - 7*i**2 - 1/210*i**7 + 1/60*i**6 + 1/60*i**5 + 0*i. Factor c(v).
-v*(v - 2)*(v - 1)*(v + 1)
What is v in -5/3*v**5 + 1445/3*v**2 - 1615/3*v**3 + 0 + 0*v + 175/3*v**4 = 0?
0, 1, 17
Let r(j) be the first derivative of -1/2*j**5 + 0*j + 28 - 5/4*j**4 + 0*j**2 - 5/6*j**3. Solve r(v) = 0 for v.
-1, 0
Suppose 3/4*n**5 + 0 + 3/4*n**4 + 0*n - 3/4*n**2 - 3/4*n**3 = 0. What is n?
-1, 0, 1
Let l(c) be the first derivative of 3*c + 2*c**3 - 9/2*c**2 - 17. Determine h, given that l(h) = 0.
1/2, 1
Let n(l) = -3*l**2. Let m(x) = -8*x**2 - 32*x + 256. Let h(z) = m(z) - 3*n(z). Suppose h(p) = 0. What is p?
16
Let q be (-86)/(-10) + 2/5. Let i be (-6)/((-24)/20) + -2 + 1. Factor q*x + i - x**2 - 5 - 11*x.
-(x + 1)**2
Let i(y) = 3*y - 78. Suppose 179 - 127 = 2*v. Let u be i(v). Let 0*c - 3/7*c**2 + u = 0. What is c?
0
Let -253*r**2 - 261*r - 7/3*r**4 - 137/3*r**3 + 162 = 0. Calculate r.
-9, -2, 3/7
Determine n so that 2/19*n**4 + 40/19*n + 26/19*n**3 + 0 + 64/19*n**2 = 0.
-10, -2, -1, 0
Let n(y) be the second derivative of -1/78*y**4 + 5/13*y**2 - 4/39*y**3 + 24*y + 0. Factor n(g).
-2*(g - 1)*(g + 5)/13
Let d be ((-848)/(-96) - 8)*(0 + 2). Find t, given that 4/9 - d*t - 4/9*t**2 = 0.
-4, 1/4
Let z be 12/(-2)*((-10)/6 + 1). Let s(w) = w**3 - 3*w**2 - 4*w + 3. Let i be s(z). Factor 0 + 1/3*b**i + 1/3*b + 2/3*b**2.
b*(b + 1)**2/3
Let v(a) be the second derivative of 13*a**5/140 - 11*a**4/6 + 17*a**3/6 + 11*a**2/7 + 145*a. Factor v(t).
(t - 11)*(t - 1)*(13*t + 2)/7
Let h(v) be the second derivative of 0*v**3 + 1/420*v**6 + 1/105*v**5 + 1/84*v**4 + 3/2*v**2 + 0 + 8*v. Let z(m) be the first derivative of h(m). Factor z(i).
2*i*(i + 1)**2/7
Suppose -3*m = -0*m. Let z be 1/(m + 1)*5. Solve -a**z - 81*a**2 - 4*a**4 + a + 2*a**4 + 83*a**2 = 0.
-1, 0, 1
Let f(n) be the second derivative of -1/150*n**5 + 0 + 1/225*n**6 - 1/15*n**4 + 0*n**2 - 15*n + 0*n**3. Factor f(l).
2*l**2*(l - 3)*(l + 2)/15
Suppose 0 = -235*o + 240*o + 3*c + 24, -3*o - 2*c = 16. Factor 8/9*x**3 + o - 2/3*x**2 + 0*x - 2/9*x**4.
-2*x**2*(x - 3)*(x - 1)/9
Let k(q) be the first derivative of 25*q**6/6 - 47*q**5 - 147*q**4/4 - 149*q**3/15 - q**2 + 188. Factor k(f).
f*(f - 10)*(5*f + 1)**3/5
Let p(l) = 5*l**3 - 11*l. Let i(s) be the second derivative of -s**3/6 + 12*s. Let j(f) = 6*i(f) - p(f). Factor j(x).
-5*x*(x - 1)*(x + 1)
Let p(q) = 3*q + 6. Let x(u) = -u**2 - u + 4. Let s be x(2). Let k be p(s). Determine v, given that -3/2*v**2 + k - 3/4*v**3 - 3/4*v = 0.
-1, 0
Let c = 671/105 + -130/21. Let w(h) be the second derivative of -4*h + 0 + 1/25*h**5 + c*h**4 - 2/75*h**6 + 4/5*h**2 - 2/3*h**3. Factor w(y).
-4*(y - 1)**3*(y + 2)/5
Determine u so that -16/5*u + 0 + 14/5*u**4 + 18/5*u**3 - 14/5*u**2 - 2/5*u**5 = 0.
-1, 0, 1, 8
Let j(q) be the third derivative of 1/630*q**7 - 1/24*q**4 - 1/90*q**5 + 1/18*q**3 - 1/336*q**8 + 1/60*q**6 - 19*q**2 + 0*q + 0. Determine f so that j(f) = 0.
-1, 1/3, 1
Let k(n) be the second derivative of n**7/13860 + n**6/396 + 5*n**5/132 - n**4/4 + 12*n. Let b(t) be the third derivative of k(t). Find f such that b(f) = 0.
-5
Let i = -29192/3 - -9732. Factor -4/3*p**5 + 104/3*p**2 + 56/3*p**3 + 76/3*p + 20/3 + i*p**4.
-4*(p - 5)*(p + 1)**4/3
Let x(v) be the first derivative of v**6/165 - v**5/110 - v**4/33 + v**3/11 + 29*v**2/2 - 43. Let g(f) be the second derivative of x(f). Factor g(p).
2*(p - 1)*(p + 1)*(4*p - 3)/11
Suppose 21 = -u - 0*u + 4*w, 2*u - w = 0. Let 8/19*d**u + 2/19*d**2 - 8/19 - 32/19*d = 0. What is d?
-2, -1/4, 2
Let c = 29 - 26. Let 1 + 15*l**2 + c - 13*l + 20*l**3 + l**4 - 27*l**3 = 0. What is l?
1, 4
Solve -12*r**4 + 15*r**3 - 6*r**2 + 6*r**3 - 5*r - 2*r + 4*r = 0 for r.
-1/4, 0, 1
Let m(d) be the second derivative of 2*d + 1/6*d**4 + 1/2*d**2 + 5/12*d**3 + 0 + 1/40*d**5. Determine k so that m(k) = 0.
-2, -1
Let p be (-7 - -12)*(0 - 84/5). Let v be (p/(-8) + 3)*6/45. Let -6/5*a - v - 1/5*a**2 = 0. What is a?
-3
Let j(h) be the second derivative of 3*h**5/20 + 21*h**4/2 + 294*h**3 + 4116*h**2 + h - 11. Solve j(v) = 0 for v.
-14
Let g(q) = 18*q + 8. Let p be g(-4). Let t be (-4)/(-6) + p/(-48). Determine r so that -24*r - 12 + r**t - 24 -