*2 - 4/7*q**o = 0.
-3, 0, 2
Let o(z) be the second derivative of 1/4*z**5 - 5/2*z**2 + 139*z + 5/2*z**3 + 0 - 5/4*z**4. Factor o(v).
5*(v - 1)**3
Let q(h) be the first derivative of 1/2*h**2 + 3/7*h**3 + 1/35*h**5 + 5/28*h**4 + 2/7*h + 12. Let q(k) = 0. What is k?
-2, -1
Suppose 4*n + 87 - 99 = -c, 39*n = 4*c + 117. Factor 36*d + c - 33/2*d**2 + 3/2*d**3.
3*d*(d - 8)*(d - 3)/2
Let f(u) be the second derivative of 5*u**7/84 + 35*u**6/4 - 213*u**5/8 + 535*u**4/24 + 4*u - 255. Factor f(h).
5*h**2*(h - 1)**2*(h + 107)/2
Solve -11*v**5 + 672 + 1595*v**2 + 3168*v + 5948*v**2 + 1701*v**3 - 3541*v**2 + 2*v**5 + 186*v**4 = 0.
-4, -2, -1, -1/3, 28
Factor 62/11*a**2 + 0 + 260/11*a + 2/11*a**3.
2*a*(a + 5)*(a + 26)/11
Let j(q) = 113*q - 648. Let o be j(6). Suppose -19*b + 14*b = o*b. Suppose 0*w - 1/3*w**5 - 8/3*w**3 + b - 5/3*w**4 - 4/3*w**2 = 0. What is w?
-2, -1, 0
Let v = 878809/19 + -46253. Factor 0 - v*c - 2/19*c**2.
-2*c*(c + 1)/19
Suppose 0 = 273*v - 2668 - 9132 + 3064. Let g(d) be the third derivative of 1/30*d**5 + 0 + v*d**2 - d**3 + 0*d - 1/6*d**4. Solve g(n) = 0 for n.
-1, 3
Factor 30*n - 985*n**4 - 982*n**4 + 2955*n**4 - 983*n**4 - 35*n**2.
5*n*(n - 2)*(n - 1)*(n + 3)
Suppose -567*b + 1557 + 711 = 0. Find u such that -4*u**2 + 6/5*u**3 - 2/5*u**5 - 16/5*u + 8/5*u**b + 0 = 0.
-1, 0, 2, 4
Suppose 4*f = -j - 8, -61 = -f - 750*j + 755*j. Let f - 12*q + 279/4*q**4 + 201/4*q**2 - 355/4*q**3 - 81/4*q**5 = 0. Calculate q.
2/9, 1
Factor -12 + 26/5*z + 34/5*z**2.
2*(z - 1)*(17*z + 30)/5
Let n = 166665/8 + -2166549/104. Factor -14/13*m - n - 2/13*m**2.
-2*(m + 1)*(m + 6)/13
Let y(t) be the third derivative of 2/105*t**7 + 1/120*t**6 + 0*t**3 + 0*t**4 + 58*t**2 + 0*t + 1/336*t**8 - 1/10*t**5 + 0. Factor y(b).
b**2*(b - 1)*(b + 2)*(b + 3)
Let w(h) be the second derivative of 1/14*h**7 + 0*h**3 - 1 + 1/2*h**6 - 5*h + 0*h**2 + 0*h**4 + 9/10*h**5. Factor w(g).
3*g**3*(g + 2)*(g + 3)
Factor -119/6*o - 125/6*o**3 - 1/2 + 247/6*o**2.
-(o - 1)**2*(125*o + 3)/6
Let n(w) be the second derivative of w**5/20 - 20*w**4/3 + 800*w**3/3 + 88*w + 8. Determine z so that n(z) = 0.
0, 40
Factor -75*u - 24*u**4 + 102*u**2 + 2668 - 1314 - 1336 - 5*u**3 + 15*u**5 - 31*u**3.
3*(u - 1)**3*(u + 2)*(5*u - 3)
Let u = 718394 - 718392. Factor -1/5*f**u + 2/5*f + 0.
-f*(f - 2)/5
Suppose 0 = 5*y - 30, 107*v = 111*v - 4*y + 24. Factor 0*q**2 + 4/7*q**4 + 4/7*q**3 + v + 0*q.
4*q**3*(q + 1)/7
Factor -75/2*y + 3/2*y**2 - 126.
3*(y - 28)*(y + 3)/2
Let g = 15 - 8. Suppose -467 = -30*j + 733. Let -7*h + g*h + 80 - 4*h**2 + 9*h**2 + j*h = 0. Calculate h.
-4
Determine y, given that 40 - 23/5*y**2 + 1/5*y**3 + 10*y = 0.
-2, 5, 20
Solve -357/4*j - 3/8*j**2 - 42483/8 = 0 for j.
-119
Let h(b) = -32*b**2 - 21*b - 7. Let g be h(3). Let m = 358 + g. Find o, given that 0*o + m - 1/2*o**3 + o**2 = 0.
0, 2
Let d(u) be the first derivative of u**6/33 - 256*u**5/55 + 126*u**4/11 + 4*u**3/33 - 23*u**2 + 252*u/11 - 305. Let d(f) = 0. Calculate f.
-1, 1, 126
Let m(h) = 9*h**5 - 5*h**4 - 82*h**3 + 91*h**2 + 84*h - 71. Let p(v) = v**4 - v**3 + v**2 + 1. Let o(a) = -m(a) + p(a). Solve o(b) = 0 for b.
-3, -1, 2/3, 2
Factor -216 + 21*b**3 - b**3 - 9*b - 21*b**2 - 5*b**3 + 87*b**2.
3*(b + 3)**2*(5*b - 8)
Let u(n) = 3*n**2 + 6*n. Let k(l) = -l. Let r(b) = b**2 + 12*b + 5. Suppose 0 = 5*h + 95 - 30. Let q be r(h). Let v(z) = q*k(z) + u(z). Factor v(j).
3*j*(j - 4)
Let b(w) = w**2 - 1. Suppose -39 = -f - 3*n + 7*n, -5*f + 5*n = -135. Let m(o) = -19 + 4*o**2 - 3*o + f + 12*o - o. Let a(h) = 4*b(h) - 2*m(h). Factor a(t).
-4*(t + 1)*(t + 3)
Let r(h) = 2*h**2 + 114*h + 108. Let p(f) = 2*f**2 + 115*f + 108. Let o(t) = -4*p(t) + 5*r(t). Determine u so that o(u) = 0.
-54, -1
Suppose 990*w**2 + 1/3*w**4 + 32*w**3 + 8712*w - 35937 = 0. Calculate w.
-33, 3
Let b = -945 - -968. Let z(a) be the second derivative of -2/3*a**3 + 0 + 0*a**2 + 1/5*a**5 + 0*a**4 - b*a. Find x, given that z(x) = 0.
-1, 0, 1
Let y = 287 + -282. Suppose -b - s = -8, 0 = -b - 2*b + y*s - 8. Determine k, given that 0*k**3 + 0*k + 0 - 3/5*k**b + 3/5*k**2 = 0.
-1, 0, 1
Let m(b) be the third derivative of b**6/220 - 23*b**5/660 - b**4/11 - 121*b**3/6 + 17*b**2. Let h(z) be the first derivative of m(z). Factor h(k).
2*(k - 3)*(9*k + 4)/11
Suppose 4*y = -2*p + 24, 0 = -5*y + 8*y - 15. Let i(t) be the second derivative of 0*t**p + 2*t**4 + 0 - 1/5*t**5 + 0*t**3 - 6*t. Factor i(s).
-4*s**2*(s - 6)
Let j be (-5567)/(-66) + 52/(-286). Let g = j + -251/3. Factor -1/2*x**3 - g*x**2 + 1/4*x + 1/4*x**5 + 1/4*x**4 + 1/4.
(x - 1)**2*(x + 1)**3/4
Let q(f) = 13*f**2 - 57*f. Let a = 425 + -433. Let s(b) = -8*b**2 + 38*b. Let r(x) = a*s(x) - 5*q(x). Suppose r(w) = 0. What is w?
-19, 0
Let d(o) = -40*o**2 + 215*o - 100. Let r(h) = -8*h - 2. Let v(m) = -d(m) + 5*r(m). Determine g so that v(g) = 0.
3/8, 6
Let l = 165 - 150. Let w be l/((-900)/8) - (-2)/15. Factor w*x + 0 + 18/11*x**5 + 26/11*x**3 + 4/11*x**2 + 48/11*x**4.
2*x**2*(x + 2)*(3*x + 1)**2/11
Let h(j) = j + 36. Let n be h(-33). Find m such that -42592 - 25*m**3 - 359*m**2 - 5808*m + 21*m**n + 95*m**2 = 0.
-22
Let g = -1824 - -1826. Let w(p) be the first derivative of -1/2*p**5 + 40 - 1/4*p**4 + 1/2*p**g + 0*p + 5/6*p**3. Solve w(s) = 0.
-1, -2/5, 0, 1
Let w(l) be the first derivative of l**7/350 + 3*l**6/200 - l**5/100 - 3*l**4/40 - 84*l**2 + 6. Let k(s) be the second derivative of w(s). Factor k(b).
3*b*(b - 1)*(b + 1)*(b + 3)/5
Suppose -10*k - 15 = -15*k. Solve 4 - 451*o**2 + 450*o**2 + 4*o + 0*o**3 - o**k = 0.
-2, -1, 2
Let h(g) be the second derivative of 0*g**3 + 0 + 5/84*g**4 + 1/210*g**5 + g**2 - 26*g. Let w(k) be the first derivative of h(k). Determine s so that w(s) = 0.
-5, 0
Let c(a) = 151*a - 7095. Let b be c(47). Let k = 1/129 + 1535/1677. Factor k*g - 2/13 - 6/13*g**4 - 24/13*g**b + 20/13*g**3.
-2*(g - 1)**3*(3*g - 1)/13
Let 0 - 3/5*l**2 + 852/5*l = 0. What is l?
0, 284
Let f = 816/445 + -2003/1335. Suppose 0*l + f*l**2 + 0 = 0. What is l?
0
Let s(f) be the second derivative of -21/2*f**2 + 3/2*f**5 - 1/10*f**6 + 11*f**3 + 0 + f - 6*f**4. Factor s(p).
-3*(p - 7)*(p - 1)**3
Let n(q) be the second derivative of q**4/4 + 245*q**3/2 - 369*q**2 + 438*q + 1. Factor n(y).
3*(y - 1)*(y + 246)
Let y be (10*2/(-12))/((-2)/60). Suppose -161*m = -166*m + y. Suppose 4*n + m*n**2 + 8 + 2*n + 3*n**2 - 15*n**2 = 0. What is n?
-1, 4
Let a(u) be the first derivative of -2*u**3/27 - 61*u**2/18 + 55*u/3 - 2258. Factor a(r).
-(r + 33)*(2*r - 5)/9
Solve -4192*h - 1150*h**5 + 16712*h**3 + 871*h**5 + 2320*h**2 - 175 - 721 + 1259*h**5 - 14924*h**4 = 0.
-2/7, 4/5, 1, 14
Suppose -5*j + 239 = -d + 229, -4*j = d - 8. Let k(m) be the second derivative of 2/15*m**3 - 1/5*m**j + 46*m - 1/30*m**4 + 0. Factor k(p).
-2*(p - 1)**2/5
Let p(k) = 1807*k - 3611. Let s be p(2). Let c be 32/(-10)*(-5)/3. Let c*x**2 + 4/3*x**s - 2/3 - 8/3*x**5 - 14/3*x**4 + 4/3*x = 0. What is x?
-1, 1/4, 1
Let r = 61545/56 - 1099. Let w(d) be the third derivative of 0*d**3 + 0*d - 1/840*d**6 + 0 + 8*d**2 + 1/105*d**5 - r*d**4. Let w(l) = 0. What is l?
0, 1, 3
Factor -664/5*a - 1/5*a**2 - 110224/5.
-(a + 332)**2/5
Suppose 8*p = -0*p + 16. What is w in -38*w**p - 8*w**3 - 12*w**3 + 54 - 16*w - 63 + 11 = 0?
-1, 1/10
Suppose -4*x - v = -19, -2*x + 8 = -3*v - 5. Suppose 3*m + 2*n = m + 8, -4 = 3*m - x*n. Factor -15*q - 18*q**2 - 12*q**m - 17*q**2 + 52*q**2.
5*q*(q - 3)
Let z(f) be the first derivative of 0*f**2 - 6*f**3 + 1/2*f**4 + 216*f + 210. Factor z(b).
2*(b - 6)**2*(b + 3)
Let d = 11164 - 11164. Factor -24/5*w + d + 2/5*w**2.
2*w*(w - 12)/5
Suppose -11*d = -19*d + 240. Determine v, given that -20*v**2 + 6*v**5 + 2*v**3 - 2*v**4 + 4*v**4 + 54*v - 6*v**3 - 26*v**3 + 18 - d*v**3 = 0.
-3, -1, -1/3, 1, 3
Let r(w) = -w**2 + 8*w - 4. Suppose 2*j = 8*j - 30. Let t be r(j). Factor -25*i**3 - 12*i + 5 + t*i - 10*i**4 - 15*i**2 + 6*i.
-5*(i + 1)**3*(2*i - 1)
Factor 2/5*g**3 - 1032/5 - 72/5*g**2 - 578/5*g.
2*(g - 43)*(g + 3)*(g + 4)/5
Suppose -13*m = -12*m - 1. Let x be m*(-13)/4*-20. Find g such that -4*g - 5*g**5 + 8*g**3 - 8*g**2 + 4*g**4 + g**5 - x + 69 = 0.
-1, 1
Suppose 0 = -0*c - 3*c + 5*p + 10, 3*c + 4 = -2*p. Let a(z) be the third derivative of -1/15*z**5 + 0 - 5/6*z**4 + c*z - 8/3*z**3 - 14*z**2. Factor a(v).
-4*(v + 1)*(v + 4)
Let b(l) be the third derivati