s) - 3*l(s). Factor v(r).
-r**2*(r - 1)
Determine w so that 1/3*w**2 + 7*w - 22/3 = 0.
-22, 1
Let i(y) be the third derivative of -y**8/672 - y**7/84 - y**6/40 + 9*y**2 - 1. Factor i(c).
-c**3*(c + 2)*(c + 3)/2
Factor 99 - 61 + 107 + 2 + 108 - 100*n + 5*n**2.
5*(n - 17)*(n - 3)
Suppose -38 = -12*f + 94. Let m(o) = -o**2 + 4*o + 7. Let l be m(5). Factor 3*a**3 - 11 + 6*a + f - 9*a**l.
3*a*(a - 2)*(a - 1)
Let n(k) = -6*k**4 + 25*k**3 + 83*k**2 + 42*k. Let b(u) = -15*u**4 + 63*u**3 + 207*u**2 + 105*u. Let a(m) = -5*b(m) + 12*n(m). Factor a(f).
3*f*(f - 7)*(f + 1)**2
Suppose 13*l = 9*l + 48. Let o(j) = j**2 - 4*j + 4. Let b be o(0). Suppose 10*z**b + 25/3*z**5 - 61/3*z**3 + l*z - 22/3*z**2 - 8/3 = 0. What is z?
-2, -1, 2/5, 1
Let h = -125/23 + 671/115. What is j in 0*j + 0 - h*j**2 = 0?
0
Let g(x) be the first derivative of x**5/10 - x**3/2 + x**2/2 - 191. Factor g(y).
y*(y - 1)**2*(y + 2)/2
Factor 79*u - 86 - 134 + 24 - 4*u**2 - 23*u.
-4*(u - 7)**2
Let t(y) = -7*y**2 + 43*y - 39. Let k(o) = -76*o**2 + 472*o - 428. Let h(x) = 3*k(x) - 32*t(x). Find u, given that h(u) = 0.
1, 9
Suppose 0 = g - 4*g + 27. Determine z so that -2*z**2 - g + 4 + 8 + 6*z + 5 = 0.
-1, 4
Let c be 15*(-24)/(-600)*(-5)/(-6). Factor c*z**2 + 3/2*z + 0.
z*(z + 3)/2
Let o(i) be the third derivative of -1/4*i**3 + 0*i - 1/15*i**5 + 2*i**2 + 11/48*i**4 + 0. Solve o(g) = 0.
3/8, 1
Let a(u) be the second derivative of -u**7/840 + u**6/40 - 5*u**3 - 45*u. Let i(d) be the second derivative of a(d). Factor i(f).
-f**2*(f - 9)
Factor -40 + 68/3*u + 4/3*u**3 + 16*u**2.
4*(u - 1)*(u + 3)*(u + 10)/3
Let x(t) be the second derivative of t**7/840 + t**6/30 + 2*t**5/5 + 7*t**4/12 - 3*t. Let g(p) be the third derivative of x(p). Factor g(q).
3*(q + 4)**2
Suppose 0 = 5*q - 0*q - 3*j - 12, 4*q - j - 4 = 0. Suppose -5*t - s + 5 = -q*t, -3*s = 2*t - 15. Factor 0 + t*l + 0*l**2 - 2/7*l**5 + 0*l**3 + 2/7*l**4.
-2*l**4*(l - 1)/7
Let t(s) = -s**4 + 14*s**3 - 72*s**2 + 82*s - 31. Let l(y) = -12*y**4 + 183*y**3 - 936*y**2 + 1065*y - 402. Let z(r) = 4*l(r) - 51*t(r). Factor z(u).
3*(u - 1)**3*(u + 9)
Suppose 4*m - 5*h + 7 = -0*h, 2*m - 7 = -h. Suppose 9 - 3 = 3*d. Factor -9*b + 6 + m*b**d - 4*b**2 - 2*b**2 + 7*b**2.
3*(b - 2)*(b - 1)
Let f(o) be the second derivative of -o**9/3024 + o**8/1344 + o**7/504 - o**6/144 + 19*o**4/12 - 15*o. Let y(z) be the third derivative of f(z). Factor y(q).
-5*q*(q - 1)**2*(q + 1)
Suppose 3*w + 0*t = 2*t + 1, w - 15 = -3*t. Find s, given that 4*s**2 + w*s + s + 0*s = 0.
-1, 0
Let d = 853/21624 - -2/901. Let a(l) be the third derivative of 0*l**3 - 1/48*l**6 - 1/40*l**5 + 0*l + 0 + d*l**4 + 2*l**2. Factor a(v).
-v*(v + 1)*(5*v - 2)/2
Suppose 2*f = -2, -f = 5*d - 3*f - 42. Solve -1 + v - 4*v**2 - 5 + v**2 + d*v = 0.
1, 2
Let d(y) be the third derivative of y**5/4 + 755*y**4/12 + 500*y**3/3 - 230*y**2. Suppose d(t) = 0. What is t?
-100, -2/3
Let k(y) be the third derivative of -y**6/10 - y**5/20 + 2*y**4 + 2*y**3 + 101*y**2. Factor k(c).
-3*(c - 2)*(c + 2)*(4*c + 1)
Let v(p) = -p**3 - 11*p**2 - 9*p + 12. Let h = -10 - 0. Let r be v(h). Suppose 4*x + 0 - x**4 - r*x - 2*x**3 + 1 = 0. Calculate x.
-1, 1
Let z(g) = -2*g**2 - 1. Let j be z(-2). Let o be (-3)/j*9/2. Factor 3/2*l**4 + o*l**3 + 1/2*l**2 + 0*l + 0 + 1/2*l**5.
l**2*(l + 1)**3/2
Let 3/2*c + 5 - 8*c**2 - c**3 - 1/2*c**5 + 3*c**4 = 0. What is c?
-1, 1, 2, 5
Let i be ((-6)/(-14))/(72/504). Factor -10/17*a**2 + 16/17*a + 2/17*a**i - 8/17.
2*(a - 2)**2*(a - 1)/17
Let n(l) be the second derivative of l**4/48 - 9*l**3 + 1458*l**2 + 52*l. Factor n(r).
(r - 108)**2/4
Let s(r) be the third derivative of -8/15*r**6 + 23/105*r**7 + 0*r - 1/3*r**3 + 0 - 1/6*r**4 + 3*r**2 + 3/5*r**5 - 1/28*r**8. Find l such that s(l) = 0.
-1/6, 1
Let g(q) = -q**3 - 14*q**2 - 3*q - 40. Let i be g(-14). Let m(x) be the first derivative of 2/9*x - 8 + 2/9*x**i + 2/27*x**3. Factor m(a).
2*(a + 1)**2/9
Let r(v) be the third derivative of -v**5/120 - 5*v**4/48 + 7*v**3/6 - 4*v**2. Let r(g) = 0. What is g?
-7, 2
Suppose -44 = -34*m + 24. Suppose 0 - 10/3*d**m + 2/3*d = 0. Calculate d.
0, 1/5
Determine k so that 192/5*k**2 + 2*k**4 + 84/5*k**3 + 64/5*k + 0 = 0.
-4, -2/5, 0
Solve 48*f - 156/5 + 123*f**2 + 42*f**3 - 9/5*f**4 = 0 for f.
-2, -1, 1/3, 26
Factor -2/11*h**4 - 1632/11*h**2 - 8092/11*h + 9826/11 - 100/11*h**3.
-2*(h - 1)*(h + 17)**3/11
Let a be (1/(-3))/(8/(-72)). Factor 30*r**4 - 65*r**a - 5*r**5 + 73*r**2 - 12*r - 13*r**2 - 8*r.
-5*r*(r - 2)**2*(r - 1)**2
Let b be 0/3 + -3 + -8 + 14. Let x be (1/(-4))/(0 - 1). Solve -1/2*m**2 + 1/4*m**b + 1/2 - x*m = 0.
-1, 1, 2
Let j(b) = -b**2 + b + 1. Let a(s) = -s**2 + 193*s + 190. Let f(i) = -a(i) + 4*j(i). Suppose f(p) = 0. Calculate p.
-62, -1
Let u(r) = -r**2 - 7*r + 5. Let k be u(-7). Let g(q) = 7*q**2 - 7. Let d(i) = -i**2 + 1. Let v(l) = k*g(l) + 40*d(l). Solve v(s) = 0 for s.
-1, 1
Let a be (75/(-4))/(-5) + 6/24. Suppose -6*i + 2 - 3*i**a + 14*i**2 - 14*i**2 + 1 + 6*i**3 = 0. What is i?
-1, 1
Let v(s) be the first derivative of -5 + 0*s**4 + 1/270*s**5 + 0*s - 1/2*s**2 + 1/540*s**6 + 0*s**3. Let y(n) be the second derivative of v(n). Factor y(u).
2*u**2*(u + 1)/9
Let z be (-26928)/2992 - 3*(1 - 4). Find u, given that -1/2*u**5 - 1/2*u**2 + z*u + 1/2*u**4 + 1/2*u**3 + 0 = 0.
-1, 0, 1
Let v(g) be the first derivative of -g**5 + 15*g**4/4 - 5*g**3/3 - 15*g**2/2 + 10*g - 143. Let v(p) = 0. Calculate p.
-1, 1, 2
Let a be (-68 - -70)*((-12)/(-9))/((-10)/(-15)). Suppose -10/11*m**3 + 2/11*m**a + 0 + 2/11*m**5 + 6/11*m**2 + 0*m = 0. Calculate m.
-3, 0, 1
Let t be ((-1800)/(-180))/(1*5). Solve -2/5 + 4/5*s**t - 7/5*s - 2/5*s**4 - 7/5*s**5 + 14/5*s**3 = 0 for s.
-1, -2/7, 1
Factor 8*y**3 + 39*y**2 - 10 + 13*y - 13*y**2 + 4 - y**3.
(y + 1)*(y + 3)*(7*y - 2)
Let t(m) = -15*m**3 - 33*m**2 - 78*m + 108. Let i(n) = 2*n**3 + n. Let g(k) = -6*i(k) - t(k). Factor g(b).
3*(b - 1)*(b + 6)**2
Factor 8 - 1/3*u**2 + 23/3*u.
-(u - 24)*(u + 1)/3
Suppose 6*n - 15 = 21. Suppose -n*o = -9*o - o. Solve 2/3*t**5 + o*t + 0 - 2/3*t**3 - 2/3*t**4 + 2/3*t**2 = 0.
-1, 0, 1
Let p(t) be the first derivative of -t**3/9 - 10*t**2 - 300*t + 93. Find v such that p(v) = 0.
-30
Factor 1421*u - 4 - 15*u**2 + 3*u**4 - 1414*u - 7*u**3 + 16*u**2.
(u - 1)**2*(u + 1)*(3*u - 4)
Let z be (-4)/((-126)/819 + 42/(-65)). Let -2/5*r**4 - r**z + 0 + 3*r**3 - 4/5*r - 4/5*r**2 = 0. What is r?
-2, -2/5, 0, 1
Let m(l) = 21*l**2 + 167*l + 16. Let b be m(-8). Solve -b + 12*p + 3/2*p**3 + 21/2*p**2 = 0 for p.
-4, 1
Let o = 261 + -257. Let c(i) be the second derivative of 0 - 3/4*i**o + i**3 + i**6 + 0*i**2 - 27/20*i**5 + 4*i. Let c(z) = 0. What is z?
-1/2, 0, 2/5, 1
Let j(x) = x**2 + 6*x - 1. Let s(q) = q**2 + q + 1. Let z(h) = -5*j(h) + 10*s(h). Factor z(a).
5*(a - 3)*(a - 1)
Let k(r) = -r**3 + 4*r**2 - r - 3. Let g(x) = -5*x - 2. Let p be g(-1). Let v be k(p). Solve 6*f**2 + 5*f**2 - 6*f**4 - 5*f**2 + v*f - 3*f**5 = 0.
-1, 0, 1
Let d = -2/1243 + 14930/8701. Factor -3/7*z**3 + 3/7*z**2 + d*z - 12/7.
-3*(z - 2)*(z - 1)*(z + 2)/7
Let u(k) be the first derivative of -k**4/6 + 20*k**3/9 - 16*k**2/3 + 1094. What is b in u(b) = 0?
0, 2, 8
Suppose -6*u = 4*u - 20. Let 195*x**4 - 3*x**2 + 0*x**2 + u*x - x**5 - 192*x**4 - x**3 = 0. Calculate x.
-1, 0, 1, 2
Find l, given that 5*l**3 + 4*l**3 + 30*l**2 - 43*l - 3*l**5 - 5*l**2 + 41*l**2 + 55*l - 72 - 12*l**4 = 0.
-3, -2, 1, 2
Suppose -9*s - 626 + 644 = 0. Let t(f) be the third derivative of 2/15*f**5 + 0*f + 0 + 0*f**3 + 0*f**4 - 1/10*f**6 - 8*f**s. Suppose t(d) = 0. What is d?
0, 2/3
Let r(z) = -z**3 + 2*z + 140. Let w be r(0). Let x be 4/(-6)*(-21)/w*5. Factor -x*c**4 + 0 + 0*c + 1/2*c**3 + c**2.
-c**2*(c - 2)*(c + 1)/2
Let d be ((-45)/(-12))/((-6)/(-8)). Let g(c) be the second derivative of -4/35*c**5 - d*c - 1/105*c**6 + 0*c**3 + 27/7*c**2 + 0 - 3/7*c**4. Factor g(z).
-2*(z - 1)*(z + 3)**3/7
Let r = 6 + -4. Suppose -j + 2 + r = -2*p, 0 = 2*p + 2. Suppose 3*f**2 + 2*f**2 - 6*f**3 - j*f**2 + 3*f**4 = 0. Calculate f.
0, 1
Let r(x) be the second derivative of x**7/42 + x**6/15 + x**5/20 - 629*x. Let r(z) = 0. Calculate z.
-1, 0
Let b(s) = 9*s**3 + 11*s**2 - 45*s + 25. Let a(f) = -10*f**3 - 10*f**2 + 45*f - 25. Let n = 106 - 102. Let q(t) = n*a(t) + 5*b(t). Factor q(c).
5*(c - 1)**2*(c + 5)
Let m(n) be the second derivat