m*(m - 1)*(m + 3)/2
Let t(y) = 3*y**2 + 218*y + 1666. Let z be t(-64). Factor -5/2*f**4 + 0 + 0*f - 1/2*f**5 - 3/2*f**z - 7/2*f**3.
-f**2*(f + 1)**2*(f + 3)/2
Let 23/3*b + 0 + 1/3*b**4 + 47/3*b**2 + 25/3*b**3 = 0. What is b?
-23, -1, 0
Let s(c) be the third derivative of -c**5/20 - 23*c**4/4 - 44*c**3 + 348*c**2. Solve s(g) = 0 for g.
-44, -2
Let q be -2 + (0/(-7))/7. Let h be (1 + 0 + -7)/(-1 + q). Solve 4/3*l**h + 0 + 4*l = 0 for l.
-3, 0
Suppose 0 = 3*m + 10 - 37. Let c be 6/m*(1 - -5). Factor 0*g**c + 2*g**3 - 5*g**4 - g**4 - 6*g**3.
-2*g**3*(3*g + 2)
Let c = -1661 + 1663. Find w such that -1/3*w**4 + w**5 + 0*w**3 + 0*w + 0*w**c + 0 = 0.
0, 1/3
Let q(i) be the third derivative of i**10/75600 + i**9/9450 + i**8/4200 + 5*i**4/6 - 11*i**2. Let p(k) be the second derivative of q(k). Factor p(h).
2*h**3*(h + 2)**2/5
Let c(y) = y**3 + 2*y**2 - 2*y + 1. Let l(a) = 45*a**3 - 21*a**2 - 96*a - 6. Let v(o) = 6*c(o) - l(o). Factor v(w).
-3*(w - 2)*(w + 1)*(13*w + 2)
Let n(r) be the first derivative of 0*r**2 + 0*r - 4/25*r**5 + 1/15*r**3 - 5 + 3/20*r**4. Factor n(l).
-l**2*(l - 1)*(4*l + 1)/5
Let d be (-9)/6*(-8)/6. Let g be ((-4)/(-36))/(0 + d/12). Find j such that 2/3*j**3 - g*j**2 + 0*j + 0 = 0.
0, 1
Let w(a) be the first derivative of -a**3/3 + 7*a**2/2 - 12*a + 107. Suppose w(r) = 0. Calculate r.
3, 4
Let i(s) be the first derivative of 4*s**5/25 - 4*s**4/5 + 4*s**3/3 - 4*s**2/5 - 25. Solve i(p) = 0.
0, 1, 2
Let w be -5 - -2 - (-11)/((-22)/(-6)). Let s(o) be the first derivative of o**4 - 4/5*o**5 + 0*o**2 + w*o**3 + 0*o + 6. Factor s(j).
-4*j**3*(j - 1)
Suppose o - 10 - 3 = -4*m, -20 = -4*o. Solve m*x - 1/2*x**2 + 0 = 0 for x.
0, 4
Let x(a) be the third derivative of -1/15*a**3 + 1/30*a**4 + 0 + 20*a**2 + 0*a - 1/150*a**5. Factor x(z).
-2*(z - 1)**2/5
Let n(x) be the third derivative of x**8/110880 - x**7/5544 + x**6/990 - 3*x**5/20 - 6*x**2. Let q(z) be the third derivative of n(z). Factor q(a).
2*(a - 4)*(a - 1)/11
Let l(i) be the third derivative of -i**7/735 + i**6/105 + 11*i**5/210 + i**4/14 - 117*i**2. Factor l(w).
-2*w*(w - 6)*(w + 1)**2/7
Let y be (-16238)/1412 + (13 - 1/(-1)). What is h in 2 + y*h + 1/2*h**2 = 0?
-4, -1
Suppose -5*w - 5*f = 0, -4*f - 11 = -4*w + 29. Find j such that -4/7*j**4 + 0 + 2/7*j**3 + 0*j + 2/7*j**w + 0*j**2 = 0.
0, 1
Let b = 593 - 593. Let n(k) be the third derivative of 1/90*k**5 + b*k**3 + 0 - 7*k**2 + 0*k + 1/12*k**4. Factor n(t).
2*t*(t + 3)/3
Let m(q) = 28*q**5 - 28*q**4 - 28*q**3 + 4*q**2 - 24*q - 24. Let k(n) = -n - 36 - n**3 + 21 + 14 - n**4 + n**5. Let d(v) = -24*k(v) + m(v). Factor d(g).
4*g**2*(g - 1)**2*(g + 1)
Let m(k) = 8*k**3 - 6*k**2 + 7*k - 7. Let v(u) be the first derivative of 7*u**4/4 - 5*u**3/3 + 3*u**2 - 6*u - 11. Let l(f) = -6*m(f) + 7*v(f). Factor l(p).
p**2*(p + 1)
Factor -1/5*t**3 - 44/5*t**2 - 484/5*t + 0.
-t*(t + 22)**2/5
Let t(u) be the first derivative of u**4/4 + 13*u**3 + 507*u**2/2 + 2197*u + 93. Suppose t(l) = 0. Calculate l.
-13
Let p(f) be the second derivative of 0*f**2 + 5/12*f**4 + 12*f - 1/6*f**6 + 5/3*f**3 - 5/4*f**5 + 5/14*f**7 + 0. Find a, given that p(a) = 0.
-1, -2/3, 0, 1
Let r(y) = -2*y**2 + 8*y - 12. Let b(u) = 3*u**2 - 16*u + 24. Let o(j) = -6*b(j) - 11*r(j). Factor o(d).
4*(d - 1)*(d + 3)
Let b be (-126)/(-30) + 4 + 1/(-5). Let n be b/(-24) - (-68)/42. Factor 5/7*i**5 + 1/7*i**2 + n*i**3 - 13/7*i**4 - 2/7*i + 0.
i*(i - 1)**3*(5*i + 2)/7
Let o = 77 + -62. Suppose y - 19 = -o. Determine u, given that 0 + 3*u**3 - 9/5*u**2 + 2/5*u + 3/5*u**5 - 11/5*u**y = 0.
0, 2/3, 1
Find s, given that -2088/5*s**2 - 912/5*s - 27*s**5 - 909/5*s**4 - 144/5 - 2112/5*s**3 = 0.
-3, -2, -2/3, -2/5
Let w(r) = -3*r**5 + 2*r**4 - 5*r**2. Let m(o) = -o**5 + o**4 - 2*o**2. Let c be (-45)/12*(-16)/(-1 + -3). Let g(p) = c*m(p) + 6*w(p). Factor g(j).
-3*j**4*(j + 1)
Let w(g) be the second derivative of -g**6/150 + 3*g**5/100 + g**4/15 - 62*g. Factor w(l).
-l**2*(l - 4)*(l + 1)/5
Let c(y) be the first derivative of 2*y**3/9 + 4*y**2/3 - 8*y - 183. Factor c(g).
2*(g - 2)*(g + 6)/3
Let w = 10 + -6. Factor w*t**4 - 18*t + 16*t - 4*t**2 + 0*t**5 + 2*t**5.
2*t*(t - 1)*(t + 1)**3
Let t(q) be the second derivative of -3*q**7/14 - 31*q**6/10 + 303*q**5/20 - 41*q**4/4 - 13*q**3 - 63*q + 3. What is z in t(z) = 0?
-13, -1/3, 0, 1, 2
Let a be (-1580)/(-100)*(-1)/(-3). Let m = a - 23/5. Suppose -8/3*c + 8/3 + m*c**2 = 0. What is c?
2
Let p(l) be the second derivative of -l**6/6 - 11*l**5 - 205*l**4/3 - 400*l**3/3 - 591*l. Let p(n) = 0. What is n?
-40, -2, 0
Let m be (-8)/24 + 14/6. Determine h so that -m*h - 37*h**3 - 4*h**2 + 25*h**3 + 4 + 14*h = 0.
-1, -1/3, 1
Suppose 0 = -3*k + a + 1, 5*k - 13*a + 9*a = 4. Let m(o) be the second derivative of k + 11/78*o**4 - 8*o + 0*o**2 - 2/39*o**3. Suppose m(l) = 0. What is l?
0, 2/11
Let r = -22019/20 + 1101. Let k(g) be the second derivative of 0 + 0*g**2 - r*g**4 - 8*g + 0*g**3. Factor k(j).
-3*j**2/5
Suppose 7*o - 179 + 158 = 0. Let s(f) be the first derivative of 4 - o*f - 3/4*f**4 + f**3 + 3/2*f**2. Find t, given that s(t) = 0.
-1, 1
Let l = 841/12165 - 2/811. Let z(y) be the third derivative of 1/3*y**4 + 0 + l*y**6 - 5*y**2 - 1/105*y**7 - 1/5*y**5 + 0*y - 1/3*y**3. Let z(t) = 0. What is t?
1
Let t(q) be the first derivative of q**6/360 + q**5/20 + 5*q**4/24 + 10*q**3/3 - 23. Let z(g) be the third derivative of t(g). Suppose z(m) = 0. Calculate m.
-5, -1
Let d(h) = 6*h**2 - 12*h + 32. Let g(w) be the second derivative of 7*w**4/12 - 11*w**3/6 + 16*w**2 - 19*w. Let o(x) = -5*d(x) + 4*g(x). Factor o(a).
-2*(a - 4)**2
Let 0*u + 0 - 8/9*u**5 + 0*u**2 + 40/9*u**3 + 22/9*u**4 = 0. What is u?
-5/4, 0, 4
Let z = 7155 - 7153. Factor -16/3*p**z + 0*p + 4/3*p**3 + 0.
4*p**2*(p - 4)/3
Factor -19*x + 14 + x**3 - 6*x**2 + 10 + 0.
(x - 8)*(x - 1)*(x + 3)
Factor 11*w**2 - 8*w**2 - 8 + 8.
3*w**2
Suppose -2*y - 7*y = -10*y. Factor -2/9*w**3 + y + 0*w**2 + 2/9*w.
-2*w*(w - 1)*(w + 1)/9
Let t = -10 + 8. Let p be 44/33*(-3)/t. Factor 4*c**p + 8*c**3 + 4*c**4 + 43*c - 43*c.
4*c**2*(c + 1)**2
Suppose 0 = -11*v - 49*v + 120. Let j(u) be the second derivative of -1/21*u**3 + 0*u**v - 7*u + 1/70*u**5 + 0 + 0*u**4. Find l, given that j(l) = 0.
-1, 0, 1
Factor 1/2*h**2 + 71/2*h - 36.
(h - 1)*(h + 72)/2
Let x = -37 - -41. Let z(u) be the first derivative of -12/35*u**5 + 5/14*u**x + 4/21*u**3 + 0*u**2 - 3/7*u**6 - 2 + 0*u. Find w such that z(w) = 0.
-1, -1/3, 0, 2/3
Let a be (-1)/(-4 - (-115)/30) - -4. Let k(t) be the second derivative of -a*t + 0 - 4/5*t**2 - 1/30*t**4 - 4/15*t**3. Determine c, given that k(c) = 0.
-2
Let o be (-1)/4*-2*8. Suppose -j - j + o = 0. Factor 0 - b**j + 3*b + b**3 - 4*b + 1.
(b - 1)**2*(b + 1)
Let k(x) be the third derivative of x**10/7560 - x**8/840 + x**6/180 - 7*x**4/12 - 10*x**2. Let q(j) be the second derivative of k(j). Factor q(z).
4*z*(z - 1)**2*(z + 1)**2
Let x(f) be the second derivative of -5/2*f**2 + 0*f**5 - 1/6*f**6 + 5/6*f**4 + 0 + 0*f**3 + 5*f. Determine w so that x(w) = 0.
-1, 1
Let q(u) = -11*u**4 + 18*u**3 - 5*u**2 - 15*u + 10. Let z(j) = 9*j**4 - 17*j**3 + 5*j**2 + 15*j - 10. Let f(o) = -2*q(o) - 3*z(o). Factor f(i).
-5*(i - 2)*(i - 1)**2*(i + 1)
Let p(l) be the third derivative of 1/330*l**5 + 0 + 0*l**3 - 1/44*l**4 + 0*l - l**2. Find o, given that p(o) = 0.
0, 3
Let v = -40285 - -40285. Let -2/9*z**3 + v - 4/3*z**2 - 16/9*z = 0. Calculate z.
-4, -2, 0
Let h(q) = -3*q + 54. Let t be h(18). Let m(o) be the second derivative of 0 - 3*o + t*o**2 - 1/10*o**5 + 0*o**3 + 1/3*o**4. Factor m(l).
-2*l**2*(l - 2)
Let v(u) be the first derivative of -4/3*u + 2/3*u**3 + 21 + 1/3*u**2. Determine s, given that v(s) = 0.
-1, 2/3
Let w be 12873/1085 + -10 - (-4)/(-62). Factor -12/5*q**2 + 0 + 3/5*q**3 + w*q.
3*q*(q - 3)*(q - 1)/5
Suppose 33*d - 30*d = 129. Suppose 27 = 2*a + f + 10, -4*a = -f - d. Factor -g**3 + a*g**2 - g - 7*g**2 - g**2.
-g*(g - 1)**2
Let y = -12831/2 + 6416. Find r such that 3/2*r**2 - r + 0*r**3 - y*r**4 + 0 = 0.
-2, 0, 1
Let v(b) be the first derivative of -b**6/36 - 4*b**5/15 - b**4/6 + 40*b**3/9 + 16*b**2/3 - 128*b/3 + 62. Suppose v(g) = 0. What is g?
-4, 2
Let f(p) be the third derivative of -p**5/30 + 2*p**4/3 - 5*p**3 + 2*p**2 - 37. Find s, given that f(s) = 0.
3, 5
Suppose 0 = -4*t + t. Suppose 7*b - 5*b - 6 = t. Factor 0*