r**2 - 5*r**3 + m*r**3.
5*r*(r - 3)**2
Let z(v) = v**5 + 4*v**4 - 2*v**3 - 3*v**2 - 3*v + 3. Let d(x) = -4*x**4 + 2*x**3 + 2*x**2 + 2*x - 2. Let o = 27 + -29. Let r(c) = o*z(c) - 3*d(c). Factor r(q).
-2*q**3*(q - 1)**2
Let h be -1 + 412/364*1 - (-24)/156. Factor -h*b**2 + 10/7*b - 12/7.
-2*(b - 3)*(b - 2)/7
Let s(h) be the third derivative of -h**6/120 + 5*h**5/12 - 11*h**4/4 + 249*h**2 - 3. Solve s(k) = 0 for k.
0, 3, 22
Suppose 7*o + 536 - 564 = 0. Let v(r) be the second derivative of -1/90*r**5 + 0*r**2 + 2/27*r**3 - 3*r + 0 + 1/54*r**o. Let v(q) = 0. Calculate q.
-1, 0, 2
Let t(b) be the first derivative of b**6/1620 + b**5/270 + 6*b**3 - 10. Let m(r) be the third derivative of t(r). Find a such that m(a) = 0.
-2, 0
Factor -81/7*r**2 - 78/7*r + 0 - 3/7*r**3.
-3*r*(r + 1)*(r + 26)/7
Let n be (-884)/(-222) - 2 - 2. Let t = 1003/222 + n. Factor 3/2*k - 9/2*k**2 + 0 - 3/2*k**4 + t*k**3.
-3*k*(k - 1)**3/2
Let b be (4/(-6))/((-30)/27 + 1). Let f(r) be the third derivative of 0*r**b + 1/525*r**7 + r**2 + 0*r**4 + 0*r + 0*r**3 - 1/150*r**5 + 0. Factor f(t).
2*t**2*(t - 1)*(t + 1)/5
Let i be ((-5931)/(-30))/(240/100). Let h = -82 + i. Factor 1/2*o - 1/8*o**2 - h.
-(o - 3)*(o - 1)/8
Determine g, given that 0 + 6/17*g - 2/17*g**2 = 0.
0, 3
Let z(g) be the third derivative of 2*g**7/315 - 14*g**6/45 + 27*g**5/5 - 36*g**4 + 96*g**3 - 7*g**2 + 3. What is o in z(o) = 0?
1, 3, 12
Suppose 2*o + 0 = 4. Factor 0*g**2 + 22 - 3*g**o - 2*g**2 - 2.
-5*(g - 2)*(g + 2)
Let p = -27 - -39. Suppose 4*x = 24 - p. Factor x*o + 7*o - 12*o**2 + 7*o**2.
-5*o*(o - 2)
Factor 22445*r + 5/3*r**3 + 1503815/3 + 335*r**2.
5*(r + 67)**3/3
Factor 13 + 270*b**2 - 240*b**3 + 3 - 944*b - 405*b**2 - 821*b**2.
-4*(b + 2)**2*(60*b - 1)
Let y(b) be the second derivative of b**7/560 + b**6/80 - b**4/4 + 7*b**3/6 - b. Let z(t) be the second derivative of y(t). Determine c so that z(c) = 0.
-2, 1
Let p(o) = -o**3 - 11*o**2 - 11*o + 2. Let f be p(-10). Factor -5*b**2 - f*b + 17 + 42*b - 62.
-5*(b - 3)**2
Suppose 2*z + 12 = 0, -3*l - 39*z + 41*z = -12. Solve 0 - 8/3*f**3 + l*f - 10/3*f**4 + 2/3*f**2 = 0.
-1, 0, 1/5
Let h(b) = 2*b**2 - 25*b - 12. Let s be h(12). Let i(d) = -d**2 - 26*d - 48. Let k be i(s). Factor k*y**2 + 0*y + 0*y**3 + 0 - 1/2*y**4.
-y**4/2
Let q be -9 + 14 - (-4 + 7). Let v(n) be the third derivative of 0*n**3 + 0*n**4 + 0 + n**q - 1/360*n**5 - 1/1260*n**7 + 0*n - 1/360*n**6. Factor v(k).
-k**2*(k + 1)**2/6
Let w(c) be the second derivative of -c**6/40 + c**5/20 + 17*c**4/48 - c**3/4 - 603*c. Factor w(t).
-t*(t - 3)*(t + 2)*(3*t - 1)/4
Let 29*w**2 + 25*w + 7*w**2 - 4*w**4 + 11*w - 4*w**3 = 0. What is w?
-3, -1, 0, 3
Let n(g) be the second derivative of g**7/14 - 3*g**6/5 - 51*g**5/10 - 14*g**4 - 39*g**3/2 - 15*g**2 + 39*g. Factor n(i).
3*(i - 10)*(i + 1)**4
Let w(s) be the first derivative of 7*s**5/40 + 67*s**4/32 + 89*s**3/24 + 5*s**2/16 - 3*s + 104. What is g in w(g) = 0?
-8, -1, 3/7
Let u(v) be the third derivative of 4*v**6/15 + 2*v**5/15 + v**4/48 + 11*v**2 + v. Suppose u(z) = 0. Calculate z.
-1/8, 0
Let s(k) be the first derivative of 0*k**2 - 5/14*k**4 - 8/35*k**5 - 4/21*k**3 + 0*k - 1/21*k**6 - 8. Solve s(u) = 0 for u.
-2, -1, 0
Let m(v) be the second derivative of -v**7/1400 - v**6/600 + v**5/100 - v**3/2 - 17*v. Let f(i) be the second derivative of m(i). Factor f(b).
-3*b*(b - 1)*(b + 2)/5
Let i(m) = -m**4 - m**3 + 2*m - 1. Let a(v) = -v**5 + 16*v**4 - 22*v**3 + 39*v**2 - 32*v + 7. Let y(k) = -5*a(k) - 35*i(k). Factor y(h).
5*h*(h - 3)**2*(h - 2)*(h - 1)
Suppose -5*n = 3*m + 2*m - 25, 3*n + 1 = 5*m. Suppose 0 = 56*v - 55*v - m. Factor 2/11*x + 0 - 10/11*x**3 - 2/11*x**v - 6/11*x**4.
-2*x*(x + 1)**2*(3*x - 1)/11
Factor 1/3*v**3 + 5/6*v**2 + 1/6 + 2/3*v.
(v + 1)**2*(2*v + 1)/6
Suppose -4*r - 21 = -3*c, 4*r - 18*c + 28 = -14*c. Let -1/5*s**2 + 1/10*s**3 + r + 1/10*s = 0. What is s?
0, 1
Suppose 368*o = 354*o. Find x such that 0 - 1/4*x**2 + o*x + 0*x**3 + 1/4*x**4 = 0.
-1, 0, 1
Factor -4/5 + 4/5*l**3 - 2/5*l**2 - 2*l.
2*(l - 2)*(l + 1)*(2*l + 1)/5
Suppose -12*d = -8*d + 448. Let b = -112 - d. Factor b*f + 2/9*f**4 - 4/9*f**2 + 2/9 + 0*f**3.
2*(f - 1)**2*(f + 1)**2/9
Let i be 81/60 - 0 - 42/70. Let n(o) be the second derivative of -3/40*o**5 + i*o**3 + 0 - 1/4*o**4 + 4*o + 0*o**2. Solve n(g) = 0.
-3, 0, 1
Factor 63*s**2 - 21*s**3 + s**3 + 66*s**2 - 15*s + 56*s**2 - 250*s**2.
-5*s*(s + 3)*(4*s + 1)
Let n(t) = -t**2 + 3*t + 74. Let r be n(10). Let u = 8 - 3. Suppose 2*y**r + u*y**3 - 4*y - y**3 - 23*y**2 + 21*y**2 = 0. Calculate y.
-2, -1, 0, 1
Let m(c) = -4*c**5 + 10*c**3 - 14*c - 8. Let g(v) = 5*v**5 + v**4 - 10*v**3 - v**2 + 13*v + 8. Let n(h) = -2*g(h) - 3*m(h). Factor n(s).
2*(s - 2)**2*(s + 1)**3
Let x be (9/3)/((-5475)/(-1000) + 9/(-15)). Let 0*y - x*y**2 + 6/13*y**3 + 4/13*y**5 + 18/13*y**4 + 0 = 0. What is y?
-4, -1, 0, 1/2
Suppose -3*n + m + 5 = -n, -3*n - 2*m = -18. Suppose -q = -n*q - 9, -5*q = 5*a + 5. Solve 8/3*x**a + 2/3 + 20/9*x + 4/3*x**3 + 2/9*x**4 = 0.
-3, -1
Let h = -23 + 173. Let l be (-1)/(8 - -1)*h/(-3). What is t in l*t**3 + 4 + 46/3*t + 160/9*t**2 = 0?
-2, -3/5
Let a = 4 + 4. Let g be ((-5)/4)/((-2)/8). Determine u, given that -24*u + 3*u**4 - 4*u**2 + u**4 + g + 13 - 2*u**4 + a*u**3 = 0.
-3, 1
Let h(u) = -10*u**4 + 3*u**3 - 3*u**2 - 8*u + 9. Let g be (-8)/(-3)*15/(-10). Let f(j) = -j**4 - j + 1. Let x(a) = g*h(a) + 36*f(a). Factor x(y).
4*y*(y - 1)**3
Let c(b) = -14*b**2 + 2*b - 2. Let y(d) = 2*d**2 - d. Let v(w) = c(w) + 6*y(w). Let v(i) = 0. What is i?
-1
Find g such that 307*g**5 + 24*g**3 - 64*g**2 - 303*g**5 - 75*g + 15*g + 2*g**4 + 22*g**4 + 72 = 0.
-3, -2, 1
Let p(b) be the third derivative of -b**5/210 + 3*b**4/14 - 17*b**3/21 - 23*b**2 - 1. Factor p(u).
-2*(u - 17)*(u - 1)/7
Let t = 16/13 + -755/624. Let i(z) be the second derivative of 0*z**2 + 0 + t*z**4 - 5*z + 1/24*z**3. Determine p so that i(p) = 0.
-1, 0
Let y = -2415/4 + 605. Factor y*g**2 + 5/2*g - 15/4.
5*(g - 1)*(g + 3)/4
Suppose 310 - 425 = -23*o. Let v(t) be the first derivative of 7*t**4 - 36/5*t**o + 8 + 8/3*t**3 + 0*t**2 + 0*t. Factor v(i).
-4*i**2*(i - 1)*(9*i + 2)
Factor 64/13*k - 62/13 - 2/13*k**2.
-2*(k - 31)*(k - 1)/13
Let x(k) = k. Let m(b) be the second derivative of b**4/12 - b**3 - 29*b. Let i(z) = -m(z) - 5*x(z). Factor i(a).
-a*(a - 1)
Let k(n) be the second derivative of -4*n + 2/147*n**7 + 0*n**3 + 0*n**4 + 0 + 1/35*n**5 + 0*n**2 - 4/105*n**6. Factor k(f).
4*f**3*(f - 1)**2/7
Let u(m) be the first derivative of 2*m**3/5 + 11*m**2/5 + 12*m/5 + 39. Factor u(r).
2*(r + 3)*(3*r + 2)/5
Let d be (5 + 1 - 6)/2. Let l(b) be the first derivative of 1/2*b**4 - 5 + 10/21*b**3 + d*b - 2/7*b**2. Factor l(z).
2*z*(z + 1)*(7*z - 2)/7
Let b(q) = -q**2 + 16*q + 2. Let a be b(0). Let v(n) be the third derivative of 0 - 1/4*n**4 + 0*n - a*n**2 - 1/30*n**5 - 2/3*n**3. Find c, given that v(c) = 0.
-2, -1
Let r = -76/15 + 5207/30. Let j = 170 - r. Let -f - f**3 - 1/4 - 1/4*f**4 - j*f**2 = 0. What is f?
-1
Let y be 1/(-3)*0 + 1. Suppose 8*m - 4*m = -2*c + 28, 0 = c - m + y. What is l in -12*l**5 + 14*l**5 + 3 - 4*l**2 + c*l + 2*l**3 - 8*l**3 + l**4 = 0?
-1, 1, 3/2
Let b(x) be the first derivative of -4*x**3/3 + 172*x**2 - 7396*x + 148. Solve b(q) = 0 for q.
43
Suppose -2*i + 17 = 3. Let u be i/(-14) + 5/2. Let 4*d**u - d**4 + d**3 - 14*d**2 + 11*d**4 + 4*d - 5*d**3 = 0. What is d?
-1, 0, 2/5, 1
Suppose o = -3*t + 3, -o - 3*t + t = -3. Factor 4*q - o - 3*q + 1 + 5*q**2 - 4*q**2.
(q - 1)*(q + 2)
Let n be -30 + 18 + 81/6. Factor n*p**2 + 3/2 - 3*p.
3*(p - 1)**2/2
Suppose 3*l + w = 15, 0 = -15*l + 10*l - 5*w + 25. Factor 2/9*r**2 - 2/9*r**l - 2/9*r**4 + 0 + 2/9*r**3 + 0*r.
-2*r**2*(r - 1)*(r + 1)**2/9
Factor 10*k**3 + 15 + 11*k**2 - 10*k - 52*k**2 + 26*k**2.
5*(k - 1)*(k + 1)*(2*k - 3)
Let u(g) = g**3 - 23*g**2 + 4*g + 12. Let n(f) = -2*f**3 + 41*f**2 - 6*f - 24. Let t(j) = -4*n(j) - 7*u(j). What is d in t(d) = 0?
-2, 2, 3
Let q(d) be the third derivative of 18*d**2 - 1/72*d**4 + 0*d + 0*d**3 + 1/720*d**6 + 1/360*d**5 + 0. Solve q(c) = 0.
-2, 0, 1
Let l be 3 + -5 + (-4)/(-1). Suppose 2*q - l - 22 = 0. What is h in -2*h**5 + 8*h**4 - 28*h**3 + 4*h**2 + q*h**3 + 6*h**3 = 0?
0, 1, 2
Let r(w) be the third derivative of w**5/300 - w**4/120 - w**3/5 - 120*w**2. Factor r(p).
(p - 3)*(p 