
-5, 1, 3
Let m(c) be the second derivative of 2*c**7/21 + 64*c**6/15 + 22*c**5/5 - 268*c**4/3 + 674*c**3/3 - 248*c**2 - 6*c - 31. Factor m(n).
4*(n - 1)**3*(n + 4)*(n + 31)
Let d(l) be the second derivative of l**5/80 - 91*l**4/48 + 275*l**3/3 - 726*l**2 - 189*l - 2. Factor d(w).
(w - 44)**2*(w - 3)/4
Let q be (585/(-25))/(1/(-5)) - -1. Suppose -4*l - 42 = -q. Determine x, given that 13 - 20*x + 24*x**2 + 11*x**2 - 4*x**3 - 5 - l*x**2 = 0.
1, 2
Suppose -101*b + 435 + 70 = 0. Let j(v) be the third derivative of 0*v**4 - 1/420*v**b - 17*v**2 + 0*v + 0*v**3 + 0. Factor j(q).
-q**2/7
Let v = -24 - -33. Suppose -8*u = -11*u + v. Let -5 + 5 + 3*o - u*o**2 = 0. What is o?
0, 1
Factor 400/3*f + 250/3 + 32/3*f**3 + 60*f**2 + 2/3*f**4.
2*(f + 1)*(f + 5)**3/3
Let v = 388/7 - 55. Let q(l) = -761*l + 35009. Let z be q(46). Let 0 + 0*r + v*r**z + 0*r**2 = 0. Calculate r.
0
Let u(q) be the third derivative of q**5/480 + 77*q**4/192 - 5*q**3 - 42*q**2 - 18*q. Factor u(o).
(o - 3)*(o + 80)/8
Factor -9 - 83*q**3 - 155*q**2 - 25*q**3 + 1141*q - 20*q**4 + 5*q**3 - 2315*q + 1093*q.
-(q + 1)**2*(q + 3)*(20*q + 3)
Suppose -75*z - 66*z = -0*z - 2538. Let c(j) be the third derivative of -2/3*j**3 - 1/24*j**4 + 1/15*j**5 + 0 + z*j**2 + 0*j + 1/120*j**6. Factor c(r).
(r - 1)*(r + 1)*(r + 4)
Find k, given that -3/5*k**3 + 3717/5*k**2 + 211334991/5 - 1535121/5*k = 0.
413
Suppose k + 16 = r, 15*r - 12*r + 5*k - 112 = 0. Let b(t) be the first derivative of -1/10*t**4 - r + 0*t**2 + 0*t**3 + 0*t - 2/25*t**5. Solve b(z) = 0.
-1, 0
Factor -2/5*w**3 - 8*w**2 + 1224/5 + 1186/5*w.
-2*(w - 17)*(w + 1)*(w + 36)/5
Let o(x) = -2*x**3 - 131*x**2 - 686*x - 894. Let p(i) = -i**3 - 133*i**2 - 688*i - 892. Let k(t) = 4*o(t) - 3*p(t). Suppose k(b) = 0. What is b?
-18, -5, -2
Suppose 5*n - 3*h = 26, 5*h - 6 = 2*n - 5. Factor 15*u**3 + 13*u**3 + 50*u + 5*u**4 + 5*u**3 + n*u**3 + 85*u**2.
5*u*(u + 1)*(u + 2)*(u + 5)
Suppose 9*u + 99 = 10*u. Find t such that 123*t**2 + u*t**3 - 19 + 7*t**4 - 11 + 9*t + 4*t**4 + 4*t**4 = 0.
-5, -1, 2/5
Suppose -15*f = -16*f - 2, 3*c + 4*f - 4 = 0. Factor 33/2*l**3 + 102*l - 60 - 3/2*l**c - 63*l**2.
-3*(l - 5)*(l - 2)**3/2
Factor 1132*c - 1061 - 592*c + 5*c**2 - 2359.
5*(c - 6)*(c + 114)
Suppose 2*h = -3*t - 4 - 5, -3*h - 4*t = 11. Factor h + 265*a - 3*a**2 + 34 + 2 - 229*a.
-3*(a - 13)*(a + 1)
Let r(n) be the third derivative of n**5/420 + 139*n**4/42 + 185*n**3/14 + 2*n**2 - 1517. Suppose r(j) = 0. Calculate j.
-555, -1
What is o in 45*o**3 + 37 - 65*o**2 + 26 + 33 - 16 - 45*o - 10 - 5*o**4 = 0?
-1, 1, 2, 7
Let m(u) be the second derivative of 2*u**7/21 + 36*u**6/5 + 249*u**5/5 + 196*u**4/3 + 2958*u. Determine q so that m(q) = 0.
-49, -4, -1, 0
Suppose 16 = -3*y + 11*y. Factor 2*i**2 + 3*i**y + 81*i - 91*i.
5*i*(i - 2)
Let x = 2385 - 1142. Let z = 1246 - x. Factor -4/5*f**z - 1/5*f**4 + 0 + 0*f - 4/5*f**2.
-f**2*(f + 2)**2/5
Let s = 1352633045/465953 - -65/27409. Let a = -2902 + s. Factor -460/17*f**2 - 152/17*f - a - 450/17*f**3.
-2*(5*f + 2)**2*(9*f + 2)/17
Factor 0*q - 2/17*q**5 + 0*q**2 - 94/17*q**4 + 0 + 196/17*q**3.
-2*q**3*(q - 2)*(q + 49)/17
Let 254*z - 108*z**3 - 2*z**4 - 113*z**3 - 154*z**2 - 132 + 255*z**3 = 0. What is z?
1, 2, 3, 11
Let b(y) = -5 + 12*y**3 + 7 - 11*y**2 + 9 - 3*y**3 + y - 2*y. Let o(t) = 10*t**3 - 10*t**2 + 10. Let q(l) = -5*b(l) + 4*o(l). Find u, given that q(u) = 0.
-1, 1, 3
Let n(x) be the first derivative of -81*x**5/10 - 117*x**4/4 + 2*x**3 + 66*x**2 - 48*x - 5378. Find c such that n(c) = 0.
-2, 4/9, 2/3
Let h(q) be the second derivative of 0*q**5 - q**2 - 2/21*q**3 + 14*q + 0 - 1/420*q**6 + 1/28*q**4. Let d(c) be the first derivative of h(c). Factor d(u).
-2*(u - 1)**2*(u + 2)/7
Let z(b) = 0 - b**2 - 134*b**3 + 0*b**2 - 1 + 133*b**3. Let n(t) = 2*t**3 - 6*t**2 - 6*t + 22. Let h(r) = -n(r) - 4*z(r). Solve h(l) = 0 for l.
-3, 1
Find a such that 32741*a**2 - 351 - 65488*a**2 + 705*a + 32741*a**2 = 0.
1/2, 117
Solve -23385*h - 2765*h**2 + 1461*h - 3879*h**2 - 22032 + 484*h**3 - 3708*h = 0 for h.
-18/11, 17
Suppose -33712 - 68294 = -1373*i - 49212 + 46062. Suppose -i*n - 2/5*n**4 - 174/5*n**2 - 216/5 - 32/5*n**3 = 0. What is n?
-6, -3, -1
Let r = -476 + 496. Factor 8*h + 7*h + 28*h**3 + 36*h**2 - 11*h - 16*h - r.
4*(h + 1)**2*(7*h - 5)
Solve 0 + 6/13*j**5 - 16/13*j**2 + 0*j - 34/13*j**4 + 44/13*j**3 = 0.
0, 2/3, 1, 4
Determine u so that 63/2*u**2 + 120*u + 118 + 1/2*u**3 = 0.
-59, -2
Let h(t) be the third derivative of 2*t**7/105 - 17*t**6/30 - 19*t**5/15 + 17*t**4/6 + 12*t**3 - 2*t**2 + 89. What is u in h(u) = 0?
-1, 1, 18
Find k such that 25 - 65438*k**2 + 6510*k + 173535*k**2 + 148793*k**2 - 32631*k**2 + 199542*k**2 = 0.
-5/651
Let k = -6436 + 6441. Solve 11*x - 147/4*x**2 + 67/4*x**3 - 84*x**k - 1 + 94*x**4 = 0 for x.
-2/3, 1/4, 2/7, 1
Let -2 - 29/6*f**2 + 1/3*f**5 + 20/3*f - 2*f**3 + 11/6*f**4 = 0. Calculate f.
-6, -2, 1/2, 1
Let h(c) be the first derivative of -10/3*c**3 - 2/35*c**5 - 17/7*c**2 - 50 - 19/14*c**4 + 0*c. Factor h(r).
-2*r*(r + 1)**2*(r + 17)/7
Let c(g) be the second derivative of -5*g**4/12 + 5*g**3 - 45*g**2/2 - 1878*g. Find i, given that c(i) = 0.
3
Let b(p) be the second derivative of 23*p - 30*p**2 + 130/3*p**3 + 9/2*p**5 + 0 + 5/6*p**6 - 105/4*p**4. Factor b(t).
5*(t - 1)**2*(t + 6)*(5*t - 2)
Let i(m) be the third derivative of m**6/630 + m**5/42 + 2*m**4/21 - 7*m**3/6 - 36*m**2. Let j(t) be the first derivative of i(t). Find c such that j(c) = 0.
-4, -1
Let c(y) be the first derivative of -y**4/32 + 97*y**3/12 - 9409*y**2/16 - 1550. Factor c(m).
-m*(m - 97)**2/8
Let p(v) be the third derivative of -v**6/360 + 7*v**5/45 + 486*v**2. Suppose p(u) = 0. Calculate u.
0, 28
Let t(o) = -335*o - 75. Let g be t(2). Let a = g + 748. Determine c so that 2/9*c**a - 2/9*c + 2/9*c**2 - 2/9 = 0.
-1, 1
Let a(b) be the third derivative of b**11/2328480 - b**9/423360 + 59*b**5/60 - 8*b**2. Let t(l) be the third derivative of a(l). Factor t(k).
k**3*(k - 1)*(k + 1)/7
Let o(t) = -t**2 - 3*t + 4. Let g be o(-4). Let l = 246257/1723848 - -1/246264. Solve -5/7*p**2 + l*p**3 + g*p + 0 = 0.
0, 5
Let z be 5*1526/175 - (0 - 5). Let t(w) be the first derivative of 15 + z*w + 27/5*w**2 + 1/5*w**3. Solve t(k) = 0 for k.
-9
Let b = 766 + -160861/210. Let j = 23/70 - b. Let -j - 1/3*w**2 - 2/3*w = 0. What is w?
-1
Let m = -13497 + 13518. Let w(a) be the second derivative of -m*a + 9/8*a**2 - 5/16*a**3 + 0 + 1/32*a**4. Factor w(n).
3*(n - 3)*(n - 2)/8
Let a be (772/(-4825))/((-4)/(-10)) - (-28)/45. Find s such that -2/9*s + a*s**3 - 4/9*s**2 + 4/9*s**4 + 0 = 0.
-1, -1/2, 0, 1
Let d = -11600 + 11603. Let l(v) be the third derivative of -8/3*v**d + 0 + 1/6*v**4 + 1/30*v**5 + 0*v - 16*v**2. Let l(z) = 0. What is z?
-4, 2
Suppose 29*h - 4 = 64 + 19. Solve -4/7*r**h - 2*r**2 + 40/7*r - 24/7 + 2/7*r**4 = 0.
-3, 1, 2
Let f(k) be the first derivative of -40*k**6/21 + 876*k**5/35 - 529*k**4/7 + 1892*k**3/21 - 270*k**2/7 - 32*k/7 - 5922. Let f(u) = 0. Calculate u.
-1/20, 1, 8
Let n be 164/4018 + (-80)/(-441). Let t(w) be the first derivative of n*w**3 - 1/2*w**4 + 0*w + 22 + 0*w**2. Solve t(u) = 0 for u.
0, 1/3
Let r(b) be the third derivative of 37/4*b**4 + 0*b + 1/20*b**5 + 1369/2*b**3 + 0 + 209*b**2. Factor r(w).
3*(w + 37)**2
Let h(t) = -t**3 + 2*t**2 + 86*t - 1413. Let u be h(-13). Factor 46/7*l - 16/7*l**3 + 20/7*l**2 + 20/7 - 8/7*l**u + 2/7*l**5.
2*(l - 5)*(l - 2)*(l + 1)**3/7
Let i(n) be the first derivative of -n**4/4 - 15*n**3 + 93*n**2/2 + 79*n + 19. Let q(f) be the first derivative of i(f). Factor q(w).
-3*(w - 1)*(w + 31)
Let s(c) be the first derivative of -1/12*c**3 + 11/2*c**2 - 121*c + 73. Factor s(i).
-(i - 22)**2/4
Let u = 645482 - 645479. Find a, given that 3/7*a**u + 4/7*a**2 + 1/7*a**5 - 4/7*a + 0 - 4/7*a**4 = 0.
-1, 0, 1, 2
Factor 8670*w**2 + 0 + 245650*w + 2/5*w**4 + 102*w**3.
2*w*(w + 85)**3/5
Suppose h = -20 + 22. Factor 49*w**3 + 217*w**4 - 53*w**2 - 212*w**4 + w**3 - 2*w**h.
5*w**2*(w - 1)*(w + 11)
Let z(x) be the second derivative of x**4/48 - 43*x**3/4 - 259*x**2/8 + 4*x - 2164. Factor z(v).
(v - 259)*(v + 1)/4
Let w(k) be the second derivative of -5/3*k**4 + 0*k**2 - 4*k**3 - 39*k + 1/5*k**5 + 0. Find c such that w(c) = 0.
-1, 0, 6
Let o(c) = -22*c**3 + 310*c**2 - 3*c - 1136. Let g(u) = 5*u**3 - 77*u**2 + u + 2