*d**3 - 22*d**2 - 13*d. Let n(l) = -20*l**5 - 155*l**4 - 85*l**3 + 155*l**2 + 90*l. Let q(j) = 2*n(j) + 15*v(j). Factor q(u).
5*u*(u - 1)*(u + 1)**2*(u + 3)
Let a(z) = -3*z**5 - 12*z**4 + 30*z**3 - 10*z**2 - 22*z + 7. Let f(u) = -u**5 + 2*u**3 - 2*u**2 - 1. Let h(s) = 2*a(s) - 10*f(s). Solve h(t) = 0.
-1, 1, 2, 3
Factor 80*s**2 + 47*s**2 - 76*s**3 - 36*s - 8*s**4 + 18*s**2 + 20*s**4 - 13*s**2.
4*s*(s - 3)**2*(3*s - 1)
Suppose 29 - 1 = 7*x. Solve -30*t**2 - 20*t + 6*t**2 - 2*t**x + 0*t - 6 - 12*t**3 = 0 for t.
-3, -1
Let t(f) = -f**2 + f - 1. Let m = -72 - -81. Let y(r) = 12*r**2 - 9*r + 6. Let g(c) = c**2 - 5*c + 5. Let i be g(4). Let o(z) = i*y(z) + m*t(z). Factor o(n).
3*(n - 1)*(n + 1)
Suppose 3*z - 16*h - 24 = -19*h, z + 40 = 5*h. Solve -2/3*c**2 + z - 16/3*c = 0.
-8, 0
Let b be 0 + -1 + 4 - (2 + 9/(-72)). Let b*c**2 + 9/8*c + 3/8 + 3/8*c**3 = 0. What is c?
-1
Let r be (-4)/30*215/(-1032). Let h(u) be the second derivative of r*u**4 + 0*u**2 + 1/9*u**3 + 0 + 5*u. Suppose h(a) = 0. What is a?
-2, 0
Suppose 4*a - 1 = 3. Let h(u) = 7*u**2 - 2*u + 1. Let m be h(a). Factor 4*k**5 + 2*k**2 + 0*k**5 - 4*k**3 + 4*k**4 - m*k**2.
4*k**2*(k - 1)*(k + 1)**2
Factor -396/5*y - 2/5*y**2 - 19602/5.
-2*(y + 99)**2/5
Let t(y) be the first derivative of -10 + 1/3*y**3 - 1/2*y**2 + 0*y. Factor t(p).
p*(p - 1)
Suppose -3*p + 2*f + 499 - 493 = 0, 4*p - 2*f = 8. Solve -3/2*g**3 - 1/4*g**4 + 0 - 2*g - 3*g**p = 0.
-2, 0
Factor 0 - 4*x + 1/3*x**2.
x*(x - 12)/3
Factor 1/3*f**2 - 1/2*f + 1/6 - 1/2*f**4 + 1/3*f**3 + 1/6*f**5.
(f - 1)**4*(f + 1)/6
Let -1/3*s**2 - 7 + 10/3*s = 0. What is s?
3, 7
Let z(r) be the first derivative of -2/105*r**5 + 0*r**2 - 4 + 0*r + 1/42*r**4 + 0*r**3. Solve z(b) = 0.
0, 1
Let y(n) be the first derivative of n**4/18 + 10*n**3/9 - 505. Determine b, given that y(b) = 0.
-15, 0
Factor -j**2 - 7515 + 205*j + 361*j - 14*j - 2*j**2 - 17877.
-3*(j - 92)**2
Let s(h) be the second derivative of h**7/147 + 2*h**6/105 - 2*h**5/7 + 4*h**4/7 + 955*h. Factor s(u).
2*u**2*(u - 2)**2*(u + 6)/7
Let d(y) = y**3 - y**2 - 2*y + 1. Let k(r) = 3*r**4 + 33*r**3 + 63*r**2 + 6*r - 3. Let c(a) = 3*d(a) + k(a). Factor c(b).
3*b**2*(b + 2)*(b + 10)
Let k(s) be the second derivative of s**8/280 + 11*s**7/1680 - s**6/480 - s**5/480 + 14*s**3/3 - 7*s. Let i(w) be the second derivative of k(w). Solve i(u) = 0.
-1, -1/6, 0, 1/4
Let g(c) = -c**3 - 3*c**2 - 2*c + 2. Let h be g(-1). Let w(b) be the second derivative of 0 + 6*b + 0*b**h - 1/8*b**4 - 1/2*b**3. Factor w(j).
-3*j*(j + 2)/2
Let v(k) = 12*k**3 - 13*k**2 - 18*k + 19. Let d be v(1). Determine o so that d*o**2 - 2/3*o + 0 + 2*o**3 + 4/3*o**4 = 0.
-1, 0, 1/2
Let u(v) be the first derivative of v**3/6 + 3*v**2/4 + v + 187. Let u(x) = 0. What is x?
-2, -1
Suppose 109*d - 111*d = 0. Let q be 33/14 + (-21)/14. Factor 36/7*b**3 - q*b + 3*b**4 + 9/7*b**2 + d.
3*b*(b + 1)**2*(7*b - 2)/7
Suppose 3*g + 3*i + 2*i - 751 = 0, 5*i + 1225 = 5*g. Let p = g + -245. Solve -1/10*h**p + 1/5 + 1/10*h = 0.
-1, 2
Let p(f) be the second derivative of -1/15*f**6 + 2/3*f**4 + 0 + 0*f**3 + 0*f**2 - 2/5*f**5 + 1/21*f**7 - 35*f. Factor p(z).
2*z**2*(z - 2)*(z - 1)*(z + 2)
Let n(y) be the first derivative of y**5/110 - y**4/66 - 2*y**3/33 - 14*y + 19. Let b(r) be the first derivative of n(r). Factor b(p).
2*p*(p - 2)*(p + 1)/11
Let x(j) be the third derivative of 5/3*j**4 + 10/3*j**3 + 1/24*j**6 + 0*j + 5/12*j**5 + 0 - 6*j**2. What is k in x(k) = 0?
-2, -1
Let r = 42 - 39. Let h(t) = -t**3 - 3*t**2 + 6*t + 8. Let f be h(-4). Factor f - 2*z**2 - 2/3*z**r - 4/3*z.
-2*z*(z + 1)*(z + 2)/3
Factor 97*f - 63*f**2 - 3 - 4 - 4 + 19 - 347*f.
-(f + 4)*(63*f - 2)
Let o(w) be the second derivative of -2/11*w**3 - 9/11*w**2 + 18*w - 1/66*w**4 + 0. Solve o(c) = 0.
-3
Let h(y) = -y**3 - 10*y**2 + 14*y + 11. Let g be h(-11). Let k = -19 - g. Factor 62*l**5 + 0*l**3 - 65*l**5 + k*l**3.
-3*l**3*(l - 1)*(l + 1)
Let m(d) = -28*d + 280. Let g be m(10). Let n(a) be the third derivative of 1/30*a**5 - a**3 - 1/6*a**4 - 2*a**2 + 0*a + g. Factor n(c).
2*(c - 3)*(c + 1)
Suppose 48*r = 2*r - r. Let a(d) be the first derivative of 0*d**3 + 0*d - 6 - 5/4*d**4 + r*d**2. Factor a(i).
-5*i**3
Let b(p) be the second derivative of p**4/20 + p**3 - 33*p**2/10 + 512*p. Factor b(h).
3*(h - 1)*(h + 11)/5
Let m(q) be the first derivative of 2*q**6/3 - 2*q**4 + 2*q**2 + 223. Find u such that m(u) = 0.
-1, 0, 1
Let c(n) be the second derivative of n**5/20 - n**4/4 - 6*n**3 - 16*n**2 + 858*n. Factor c(s).
(s - 8)*(s + 1)*(s + 4)
Let b = 15 + -13. Let i(o) = o**3 + 2*o**2 + 3*o. Let c(h) = -4*h**3 - 7*h**2 - 10*h. Let s(r) = b*c(r) + 7*i(r). Let s(w) = 0. What is w?
-1, 0, 1
Let r be 220/308*4/5. Factor r*z**2 + 8/7*z + 0.
4*z*(z + 2)/7
Let j(z) = -3*z**4 - 36*z**3 - 165*z**2 - 324*z - 240. Let r(b) = -7*b**2 - 1 - 7*b**2 + 2 + 13*b**2. Let p(m) = -j(m) + 3*r(m). Factor p(g).
3*(g + 3)**4
Let w(p) be the second derivative of -p**9/10584 - p**8/5880 + p**7/2940 + p**6/1260 - 7*p**3/2 + p. Let x(g) be the second derivative of w(g). Factor x(o).
-2*o**2*(o - 1)*(o + 1)**2/7
Let s(o) be the second derivative of o**6/15 - 3*o**5/10 + o**4/6 + o**3 - 2*o**2 + 98*o - 2. Solve s(z) = 0 for z.
-1, 1, 2
Let f be 2/(-16)*(-705)/1269*12/5. Solve 1/6*o**2 + 1/6*o - f*o**4 + 0 - 1/6*o**3 = 0 for o.
-1, 0, 1
Let v be 15 + 2/(-6)*43. Let v*y - 2/3*y**3 + 10/3 - 10/3*y**2 = 0. What is y?
-5, -1, 1
Let 113/3*p - 74/3 - 40/3*p**2 + 1/3*p**3 = 0. What is p?
1, 2, 37
Let z(b) = b**3 - 2*b**2 + 5*b + 1. Let o be z(3). Suppose 0*i - o = -a - 5*i, i = 3*a - 27. Find u, given that -3*u**2 + 14*u**2 - a*u**2 = 0.
0
Let k be 30/5 + 32/(-8). Let z(w) be the third derivative of -1/60*w**5 + 0*w**3 + 5*w**k + 1/12*w**4 + 0*w + 0. Solve z(o) = 0 for o.
0, 2
Let t(f) = -f + 8. Let n be t(8). Factor 20*p**3 + n*p**5 - 15*p - 10*p**2 + 24 - 14 - 5*p**5.
-5*(p - 1)**3*(p + 1)*(p + 2)
Let d(g) = -11*g**3 - 33*g**2 + 46*g. Let s(f) = -4*f**3 - 12*f**2 + 15*f. Let c(z) = -3*d(z) + 8*s(z). Factor c(v).
v*(v - 3)*(v + 6)
Let i(g) be the second derivative of 0 + 0*g**2 - 4/3*g**3 + 7*g - 1/6*g**4. Factor i(f).
-2*f*(f + 4)
Let w(v) be the second derivative of -v**5/10 + v**4/3 - 13*v - 6. Factor w(m).
-2*m**2*(m - 2)
Let h(s) be the first derivative of -s**5/12 - 35*s**4/24 - 5*s**3 + 4*s**2 - 30. Let f(a) be the second derivative of h(a). Factor f(g).
-5*(g + 1)*(g + 6)
Let u(f) = 11*f**2 + 59*f + 8. Let m(l) = l**2 + 3*l + 2. Let k(b) = -26*m(b) + 2*u(b). Factor k(o).
-4*(o - 9)*(o - 1)
Suppose -2 + 0 = x. Let f be 30/28 + x/4. Suppose 2/7*i**3 - f*i - 2/7*i**2 + 0 = 0. Calculate i.
-1, 0, 2
Let i be (50/40)/(2/(-8)) - (54 + -63). Determine b, given that 0 - 1/7*b**3 + 12/7*b**2 - 4/7*b - 12/7*b**i + 5/7*b**5 = 0.
-1, 0, 2/5, 1, 2
Suppose -2*b + 5*c = -5, 2*b + c - 4*c - 7 = 0. Factor -3*t**3 - b*t**4 + 10*t + 2*t + 2*t**4 + 9 - 9*t**3 - 6*t**2.
-3*(t - 1)*(t + 1)**2*(t + 3)
Let p(j) = -j**3 - 20*j**2 - 2*j - 37. Let d be p(-20). Factor -d*s**3 - 257*s**2 - 260*s**2 + 517*s**2 + 3*s**4.
3*s**3*(s - 1)
What is t in -4*t**3 - 164*t**2 + 71*t**2 - 30*t + 68*t**2 - t**3 = 0?
-3, -2, 0
Find t such that -1/6*t**2 - t + 8/3 = 0.
-8, 2
Factor 36/7*z**2 + 96/7 - 3/7*z**3 - 108/7*z.
-3*(z - 8)*(z - 2)**2/7
Let q(i) be the third derivative of 0*i**3 + 1/180*i**5 + 0*i + 1/180*i**6 + 0 - 1/36*i**4 - 1/630*i**7 - 19*i**2. Find g, given that q(g) = 0.
-1, 0, 1, 2
Let q(n) be the first derivative of 1/4*n**4 + 0*n - 1/2*n**2 + 12 - 1/10*n**5 + 1/6*n**3. Factor q(t).
-t*(t - 2)*(t - 1)*(t + 1)/2
Let m(p) be the first derivative of -8*p**2 + 2*p**4 + 37 - 4/5*p**5 - 16*p + 4*p**3. Suppose m(o) = 0. What is o?
-1, 2
Let q = 15 - 11. What is d in 210*d**q - 3*d**2 - 9*d**2 + 8 - 4*d**3 - 206*d**4 + 4*d = 0?
-1, 1, 2
Let i = 2465 - 2465. Let c(r) be the third derivative of -1/16*r**5 - 1/80*r**6 + 0 - 1/8*r**3 - 1/8*r**4 + i*r - r**2. Factor c(a).
-3*(a + 1)**2*(2*a + 1)/4
Suppose -4*d = 2 - 18. Suppose p = -4*b + 12, -3*b - 2*b = -d*p + 6. Factor 3*u**2 - 3 - 9*u**2 - 21*u - 30*u**b.
-3*(3*u + 1)*(4*u + 1)
Factor -186*t**3 + 365*t**3 - 9*t**4 + t**5 - 189*t**3.
t**3*(t - 10)*(t + 1)
Let x(i) be the third derivative of i**7/1470 + i**6/105 - 19*i**5/420 + 5*i**4/84 + 88*i**2 - 1. Factor x(k).
k*(k - 1)**2*(k + 10)/7
Suppose -3 = -2*u + 1. Let