(-8)*(-18)/15. Let z be (-10)/30 - 5/l. Let g(s) = 33*s**3 - 3*s**2 + 5. Let w(a) = 16*a**3 - 2*a**2 + 2. Let c(u) = z*g(u) + 5*w(u). Factor c(r).
2*r**2*(7*r - 2)
Let t = -18399/80 + 230. Let s(j) be the second derivative of 0 + 1/120*j**6 - 1/48*j**4 - t*j**5 - 2*j + 1/24*j**3 + 0*j**2. Determine d, given that s(d) = 0.
-1, 0, 1
Let a(z) = 5*z**3 + 6*z**2 - 5*z + 16. Let l(n) = -n**3 - n**2 + n - 3. Let b(y) = 2*a(y) + 11*l(y). Suppose b(o) = 0. What is o?
-1, 1
Suppose -5 = -j - 2. Find c such that -2*c**j + 3*c - 3*c**2 + 3*c**3 - 3*c**3 + 3 - c**3 = 0.
-1, 1
Let k(p) be the second derivative of p**8/6720 + p**7/2520 - p**6/720 - p**5/120 + p**4/12 - p. Let b(z) be the third derivative of k(z). Factor b(i).
(i - 1)*(i + 1)**2
Let o(q) = q**3 - 10*q**2 + 5*q. Let z(b) = -10*b**2 + 5*b. Let h(n) = -5*o(n) + 4*z(n). Find y such that h(y) = 0.
0, 1
Let v be (-1 - 6)*15/(-35). Suppose -v*p - 3 + 9 = 0. Solve -1/5*s**p - 1/5 + 2/5*s = 0 for s.
1
Let j = -142 - -142. Factor 2*o**4 + 0*o - 18/7*o**3 + 4/7*o**2 + j.
2*o**2*(o - 1)*(7*o - 2)/7
Let l = -1 - -3. Suppose 3*u - 40 = -2*u + 5*n, -u + 12 = -2*n. Let 0*v - v**l - 4 + u*v + 0*v**2 = 0. What is v?
2
Let g(w) be the second derivative of 0 + 0*w**4 + 0*w**3 - 1/45*w**6 + 0*w**2 - 2*w + 1/15*w**5. Determine r, given that g(r) = 0.
0, 2
Let t(p) be the second derivative of 0*p**4 + 3*p + 0*p**2 - 1/126*p**7 + 0*p**3 + 1/60*p**5 + 0*p**6 + 0. Solve t(g) = 0 for g.
-1, 0, 1
Let u = 7 + -2. Factor -4*n**2 - 7*n**2 - 18*n**3 - 6*n**3 + 9*n**4 - n**2 + 27*n**u.
3*n**2*(n - 1)*(3*n + 2)**2
Let c(w) be the third derivative of 0*w + 1/240*w**5 - 3*w**2 + 0*w**3 + 1/480*w**6 + 0 - 1/840*w**7 - 1/96*w**4. Factor c(z).
-z*(z - 1)**2*(z + 1)/4
Let n(u) be the second derivative of 2/7*u**3 - 6*u + 1/7*u**4 + 0 + 2/7*u**2 + 1/35*u**5. Factor n(y).
4*(y + 1)**3/7
Let s be (2 - 8/2)/((-4)/6). Let i be (-1)/3 - (-10)/12. Factor 0*l - 3/2*l**4 + 0 + i*l**2 - l**s.
-l**2*(l + 1)*(3*l - 1)/2
Let d(p) = 6*p**4 + 9*p**3 + 24*p**2 + 9*p - 21. Let n(o) = o**4 + o**3 + o**2 + o - 1. Let z(k) = d(k) - 9*n(k). Let z(a) = 0. What is a?
-2, -1, 1, 2
Let s(g) be the first derivative of g**3/2 + 21*g**2/4 + 9*g + 19. Factor s(n).
3*(n + 1)*(n + 6)/2
Let c = -46 - -49. Let s(m) be the first derivative of -c + 0*m - m**3 - 1/2*m**2 + m**4. Factor s(t).
t*(t - 1)*(4*t + 1)
Let i(y) = -21*y**2 - 71*y - 79. Let p(t) = -11*t**2 - 36*t - 39. Let x(f) = 6*i(f) - 11*p(f). Suppose x(u) = 0. What is u?
-3
Let x be 2/5*(6 + -1). Let l = 743/3665 + -2/733. Suppose l - 1/5*a**x + 0*a = 0. What is a?
-1, 1
Let t(i) = -4*i**5 - 2*i**4 + 4*i**3 + 2*i**2. Suppose -1 + 3 = 2*u. Let n(c) = c**5 - c**3. Let w(z) = u*t(z) + 6*n(z). Let w(l) = 0. What is l?
-1, 0, 1
Let p be (-1)/(-4 + (-68)/(-16)). Let b(n) = -6*n**2 + 4*n - 4. Let w(i) = 1 + i**2 + 0*i**2 + 0. Let c(u) = p*w(u) - b(u). Let c(d) = 0. What is d?
0, 2
Let j(t) = 2*t**2 + 10*t - 8. Let b(x) = 3*x**2 + 11*x - 9. Let z(o) = 4*b(o) - 5*j(o). Find r such that z(r) = 0.
1, 2
Factor 0 + 3/2*r**4 + 9/2*r**2 - 3/2*r - 9/2*r**3.
3*r*(r - 1)**3/2
Factor 2/11*n + 0 - 2/11*n**2.
-2*n*(n - 1)/11
Factor 3/4*q**3 - 3/4*q - 3/4*q**2 + 3/4.
3*(q - 1)**2*(q + 1)/4
Let o be 0*42/63*3/8. What is g in -7/2*g**4 + o*g + 0 - g**3 + 1/2*g**2 - 2*g**5 = 0?
-1, 0, 1/4
Let v(k) be the second derivative of k**5/90 + 5*k**4/54 + k**3/9 - k**2 - 6*k. Factor v(n).
2*(n - 1)*(n + 3)**2/9
Let s(o) be the second derivative of -o**6/6 - 3*o**5 - 115*o**4/6 - 50*o**3 - 125*o**2/2 - 12*o. Factor s(f).
-5*(f + 1)**2*(f + 5)**2
Let c(t) be the first derivative of -2*t**5/25 + t**4/5 - 2*t**2/5 + 2*t/5 + 8. Let c(n) = 0. Calculate n.
-1, 1
Suppose g - 9 = -d, 6*g - 2*g = -3*d + 31. What is y in -8/13*y - 6/13*y**g + 2/13 + 8/13*y**3 + 4/13*y**2 = 0?
-1, 1/3, 1
Let a be (60/(-350)*-5)/((-10)/(-7)). Let -a*b**2 + 0*b**3 + 3/5*b**4 + 0 + 0*b = 0. What is b?
-1, 0, 1
Let k = 2083/5 - 415. Let l be (1 - 13)/(-6)*2/2. Factor 2/5*b**5 + 8/5*b**4 + 0*b + 0 + 0*b**l + k*b**3.
2*b**3*(b + 2)**2/5
Find m such that 3*m**2 - 30*m + 6*m + 20 - 10*m**2 + 11*m**2 = 0.
1, 5
Let o(g) = -g**2 - 8*g + 8. Let i(n) = -n**2 + 1. Let z(x) = -12*i(x) + 3*o(x). Find t such that z(t) = 0.
2/3, 2
Let j(d) be the third derivative of -d**9/40320 + d**8/6720 - d**7/3360 + d**5/12 + 2*d**2. Let h(f) be the third derivative of j(f). Factor h(z).
-3*z*(z - 1)**2/2
Let y be (4/(-10))/((-4)/20). Let m = 7/12 + -25/84. Factor 0*b**y + 0 - m*b**3 + 2/7*b.
-2*b*(b - 1)*(b + 1)/7
Let l = 127 + -120. Let x(i) be the second derivative of 0*i**2 - 2/33*i**3 + 0 + 1/15*i**6 - 1/77*i**l + i + 3/22*i**4 - 3/22*i**5. Factor x(h).
-2*h*(h - 1)**3*(3*h - 2)/11
Let q(s) = -2 - 2 - 6*s**2 - 3 + 5. Let d(o) = o**2 - o. Let j(w) = 4*d(w) + q(w). Solve j(g) = 0.
-1
Let r = 5 - 4. Let d be r + -2 + (-27)/(-21). Suppose -d*v**4 + 0 - 6/7*v**2 - 6/7*v**3 - 2/7*v = 0. What is v?
-1, 0
Let v(b) be the second derivative of 3*b**6/10 + 3*b**5/4 + b**4/4 - b**3/2 - 4*b. Find s such that v(s) = 0.
-1, 0, 1/3
Factor 21*l**5 - 53*l**4 + 3*l**3 + 61*l**4 + 25*l**4 - 9*l**2.
3*l**2*(l + 1)**2*(7*l - 3)
Let z(f) be the second derivative of f**6/6 - f**5/3 - 35*f**4/18 - 10*f**3/9 + 5*f**2/2 - 21*f. Find s such that z(s) = 0.
-1, 1/3, 3
Factor -9/5 + 0*b + 1/5*b**2.
(b - 3)*(b + 3)/5
Suppose -2*g + 1 = -5. Suppose -i**2 - 4*i**g + i**2 + 0*i**3 - i**4 - 4*i**2 = 0. What is i?
-2, 0
Let w be 2/3*135/400. Let v(t) be the second derivative of t - 1/12*t**3 - w*t**5 + 0 - 1/4*t**4 + 0*t**2. Factor v(g).
-g*(3*g + 1)**2/2
Let g be 2/4 - 76/(-8). Let q = -7 + g. Factor 4 + 4*u**2 + 3*u**q + 8*u - 2*u**3 + u**2.
(u + 1)*(u + 2)**2
Factor 10*t + 23*t**3 + 23*t**3 - 51*t**3 - 5*t**2.
-5*t*(t - 1)*(t + 2)
Factor 2/5*x**3 - 686/5 - 42/5*x**2 + 294/5*x.
2*(x - 7)**3/5
Let g(y) = y**2 + 8*y + 10. Let h be g(-7). Suppose 0*s - h*v - 13 = -2*s, 5*s = 2*v + 16. Let -4 + 0*t + 3*t + s*t**2 - t = 0. Calculate t.
-2, 1
What is j in -23/7*j**2 + 15*j**4 + 0 - 22/7*j**3 + 6/7*j + 18/7*j**5 = 0?
-6, -1/2, 0, 1/3
Suppose 58/5*x**3 + 16/5 - 12/5*x**2 - 18/5*x**4 - 72/5*x = 0. Calculate x.
-1, 2/9, 2
Let y(n) = 4 - 4 - 2*n**2 + 2*n. Let i(l) = -l**3 - 3*l**2 + 4*l - 4. Let k be i(-5). Let f(d) = -9*d**2 + 8*d. Let v(h) = k*y(h) - 6*f(h). Factor v(z).
2*z*(z + 2)
Suppose o = 7*r - 3*r - 253, 2*r = -5*o + 143. Suppose -7*f**2 + 7*f + 25*f - r + 2*f**2 + f**2 = 0. Calculate f.
4
Let s be (-3)/(-14) + (-18)/(-63). Factor -3*y - s*y**2 - 9/2.
-(y + 3)**2/2
Suppose -36*l + 20 = -32*l. Let h(y) be the second derivative of 1/12*y**4 - y + 0*y**2 + 0*y**3 + 1/4*y**l + 2/15*y**6 + 0. Factor h(s).
s**2*(s + 1)*(4*s + 1)
Let 0 - 8/9*q**3 + 2/9*q**4 + 0*q + 8/9*q**2 = 0. What is q?
0, 2
Factor 36/5*i**2 + 18/5 + 21/5*i**3 - 15*i.
3*(i - 1)*(i + 3)*(7*i - 2)/5
Let l(u) = 6*u**5 - 3*u**3 - 3*u + 3. Let p(c) = c**5 + c**4 - c**2 - c + 1. Let q be (2/(-2 - -3))/2. Let m(b) = q*l(b) - 3*p(b). Factor m(t).
3*t**2*(t - 1)**2*(t + 1)
Let t(m) = m - 5. Let y be t(8). Suppose -4*j + j + 18 = 0. Factor j + o**4 - o**2 - o - 6 + o**y.
o*(o - 1)*(o + 1)**2
Let t(z) = 2*z**4 + 2*z**3 - 8*z**2 - 4*z - 4. Let o(a) = a**4 - a**3 - a**2 - a - 1. Let w(c) = -4*o(c) + t(c). Let w(g) = 0. Calculate g.
0, 1, 2
Let m be (2 - 60/16)*6/(-21). Factor 0 - f**2 + 1/2*f**3 + m*f.
f*(f - 1)**2/2
Let f(q) be the first derivative of -5*q**4/4 + 10*q**2 - 17. What is m in f(m) = 0?
-2, 0, 2
Let a(h) be the third derivative of 0*h + 2*h**2 + 1/90*h**5 + 0*h**3 + 0*h**4 + 0. Let a(c) = 0. What is c?
0
Let d(u) be the first derivative of -u**6/2 + 9*u**5/5 - 3*u**4/2 - 38. Factor d(a).
-3*a**3*(a - 2)*(a - 1)
Let z(j) = 13*j**4 - 28*j**3 - 8*j**2 - 4*j. Let c(f) = -13*f**4 + 29*f**3 + 9*f**2 + 5*f. Let h(d) = -4*c(d) - 5*z(d). Solve h(b) = 0.
-2/13, 0, 2
Let j be (2 + -2)/(-2)*-1. Let k(s) be the second derivative of 0*s**2 + 1/4*s**4 - s + j*s**3 + 3/40*s**5 + 0. Solve k(c) = 0 for c.
-2, 0
Suppose -20*g + 26*g - 12 = 0. Let 2/3 + 2*d**g - 2*d - 2/3*d**3 = 0. What is d?
1
Let k(z) be the second derivative of 3*z**5/140 + 9*z**4/14 + 54*z**3/7 + 324*z**2/7 - 4*z. Let k(o) = 0. Calculate o.
-6
Let l = 1 + 2. What is w in 0*w**l - w**3 + 2*w + 15*w**2 - 14*w**2 = 0?
-1, 0, 2
Suppose 2*d - 23 = 3*a, -d + 2*a = 4*d - 30. Suppose d*c**2 + c**3 - 2*c**2 - 3*c**3 =