6*a**2 + 50*a. Let r(l) = 11*u(l) + 2*v(l). Factor r(x).
-5*x*(x - 2)*(x - 1)**3
Suppose -5*i + 4*w + 61 = 0, -2*w - 53 = -i - 4*i. Factor 5*j**4 + i*j**3 - 6*j**5 - 7*j**3 + 3*j**5.
-j**3*(j - 2)*(3*j + 1)
Let w = 95 - 91. Let x(y) be the first derivative of y + 0*y**2 + 4 - 1/4*y**3 - 1/16*y**w. Suppose x(t) = 0. What is t?
-2, 1
Determine t, given that -213 - 3*t**3 + 106 - 7*t + 105 - 8*t**2 = 0.
-1, -2/3
Let v(s) be the first derivative of -s**7/1400 - s**6/200 - 3*s**5/200 - s**4/40 - s**3/3 - 4. Let u(z) be the third derivative of v(z). What is h in u(h) = 0?
-1
Determine g, given that 0*g**2 + 1/5*g + 0 + 4/5*g**5 + 0*g**4 - g**3 = 0.
-1, -1/2, 0, 1/2, 1
Let d(c) = -5*c**2 - 4. Let g(q) = q + 2 - 7*q**2 - 5 - 2*q**2 - 4. Let b(u) = 5*d(u) - 3*g(u). Factor b(w).
(w - 1)*(2*w - 1)
Let g(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - 1/12*l**4 + 6*l - 1/60*l**6 + 3/40*l**5. Factor g(n).
-n**2*(n - 2)*(n - 1)/2
Let -2*m**2 - 2/3*m - 2/3*m**4 - 2*m**3 + 0 = 0. Calculate m.
-1, 0
Let q(h) = 4*h - h**2 - h**3 - 2*h**2 + 6*h**2. Let g(m) = m**2 - m - 4*m**2 + 2*m**2. Let p(n) = -3*g(n) - q(n). Find b such that p(b) = 0.
-1, 0, 1
Let j(o) be the second derivative of o**7/840 - o**5/40 + 3*o**4/4 - o. Let g(a) be the third derivative of j(a). Factor g(y).
3*(y - 1)*(y + 1)
Let p = 25 + -21. Factor -4*j**4 + p*j**2 + 3*j**4 - 3*j**2.
-j**2*(j - 1)*(j + 1)
Let n(c) be the second derivative of -2*c**7/27 - 41*c**6/270 + 11*c**4/108 - c**3/27 + 5*c. Determine j, given that n(j) = 0.
-1, 0, 1/4, 2/7
Let a(b) = 3*b**2 - 6*b + 6. Let x(n) = -n - 11. Let p be x(0). Let w(i) = -16*i**2 + 31*i - 31. Let l(r) = p*a(r) - 2*w(r). What is z in l(z) = 0?
2
Let r = -2/105 + 32/105. Find x, given that -r*x + 2/7*x**2 + 0 = 0.
0, 1
Let j(d) be the second derivative of d**9/4536 - d**8/840 + d**7/630 - d**3/2 - 3*d. Let h(k) be the second derivative of j(k). Factor h(b).
2*b**3*(b - 2)*(b - 1)/3
Solve 6*v**3 + 0*v**2 - 27/2*v**4 - 15/4*v**5 + 0*v + 0 = 0 for v.
-4, 0, 2/5
Suppose 2*h + 10 - 22 = -l, -3*h = -l - 8. Factor -z**h - 2*z + 2*z + 2*z**3 - 2*z + 1.
-(z - 1)**3*(z + 1)
Let b(l) be the third derivative of -l**4/12 + l**3/6 + 3*l**2. Let j be b(-1). What is k in -k**3 - k**4 - 1 - k**5 + k + 2*k**2 + j*k**3 - 2*k = 0?
-1, 1
What is x in 20*x - 4*x**2 - 32*x + 0*x**2 - 144 - 36*x = 0?
-6
Let v(u) be the second derivative of u**6/60 - u**5/30 - u**4/6 + u**2/2 + u. Let d(m) be the first derivative of v(m). Factor d(p).
2*p*(p - 2)*(p + 1)
Let s(q) = q**2 + 7*q + 1. Let v be s(-6). Let a = -1 - v. What is j in -8*j**5 - 12*j**3 + 13*j**2 - 12*j**4 - 15*j**2 - 6*j**a = 0?
-1, -1/4, 0
Let o(i) = 56*i - 1. Let y be o(1). Let z = -13 + y. Factor 0 + z*p**2 + 4*p + 343/2*p**4 + 147*p**3.
p*(7*p + 2)**3/2
Let x be (4/(-15))/(21/(-280)) + -3. Let v(z) be the first derivative of -x*z**3 + 0*z + 1/3*z**2 - 1 + 1/4*z**4. Factor v(y).
y*(y - 1)*(3*y - 2)/3
Factor 0 - 2/17*f - 6/17*f**2 - 2/17*f**4 - 6/17*f**3.
-2*f*(f + 1)**3/17
Let p(d) = -d**5 - d**3 - d. Let v(h) = 5*h**5 + 3*h**4 - 13*h**3 + 9*h**2 + 2*h. Let b(k) = 2*p(k) + v(k). Solve b(z) = 0.
-3, 0, 1
Suppose -5*k - 15 = -10*k. Let r(d) be the first derivative of 0*d**k + 1/2*d**4 + 0*d - 2 - d**2. Determine h so that r(h) = 0.
-1, 0, 1
Let h(i) be the third derivative of 1/18*i**3 - 1/360*i**6 + 5*i**2 - 1/180*i**5 + 0*i + 0 + 1/72*i**4. Factor h(b).
-(b - 1)*(b + 1)**2/3
Let w be (-2)/((-3)/(-15)*-2). Suppose -27 = -w*q + 28. What is k in 6*k**4 + 3*k**3 + q*k**3 - 12*k + 4*k + 0*k**4 = 0?
-2, -1, 0, 2/3
Let t be (-2)/21 - (-26)/39. Factor 0 - 16/7*f - 8/7*f**2 + t*f**3 + 2/7*f**4.
2*f*(f - 2)*(f + 2)**2/7
Suppose -2*k + 3 - 1 = 0. Suppose 3*r + k = 7. Suppose u**r - u + 3*u + u + 2 = 0. What is u?
-2, -1
Let q(i) = -7*i**3 + 24*i**2 - 96*i + 128. Let f(w) = 6*w**3 - 24*w**2 + 96*w - 128. Let v(o) = -5*f(o) - 4*q(o). Suppose v(s) = 0. What is s?
4
Let d = -2 + 4. Suppose 2*b - d*c = -6, -5*b - c + 24 = 9. Factor -10*i + 0*i + i - 2 + 7*i**4 + 9*i**3 - 5*i**b.
(i - 1)*(i + 1)**2*(7*i + 2)
Let z = -1/248 - 429/1240. Let m = z + 3/5. Factor 1/4*h**2 + m - 1/2*h.
(h - 1)**2/4
Let d(b) be the second derivative of b**6/5 + b**5/10 + 4*b. Factor d(a).
2*a**3*(3*a + 1)
Let g(d) be the third derivative of -d**6/660 - d**5/330 + 26*d**2. Factor g(y).
-2*y**2*(y + 1)/11
Determine h, given that -2*h**2 + 0 - 1/5*h**3 + 11/5*h = 0.
-11, 0, 1
Suppose 2*z - 4 = -j - 0, 0 = z - 1. Determine c, given that 3*c**2 - 2*c**3 - 2*c**3 - 4*c**2 - 3*c**j = 0.
-1, 0
Find r such that r**4 + 2/3*r**2 + 0*r - 7/3*r**3 + 0 = 0.
0, 1/3, 2
Factor 5*f + 1/2*f**2 + 25/2.
(f + 5)**2/2
Let s(d) be the second derivative of 3*d + 1/30*d**6 + 0*d**3 + 0*d**5 + 0 + 0*d**4 + 0*d**2. Factor s(p).
p**4
Let o(d) be the first derivative of 2*d**3/21 + 8*d**2/7 + 32*d/7 + 6. Solve o(h) = 0 for h.
-4
Let v(u) = -10*u**3 + 3*u**2 - 7*u + 7. Let m(s) = -3*s**3 + s**2 - 2*s + 2. Let a(n) = 14*m(n) - 4*v(n). Factor a(i).
-2*i**2*(i - 1)
Let t(q) = 2*q**5 - 10*q**4 - 6*q**3 - 2*q**2 + 4*q + 12. Let a(g) = g**5 - g**3 + g**2 - 1. Let f(w) = -12*a(w) - t(w). Suppose f(b) = 0. What is b?
-1, -2/7, 0, 1
Let s(c) be the second derivative of -c**4/54 - c**3/27 - 12*c. Let s(x) = 0. Calculate x.
-1, 0
Factor -6/5*o**2 + 2/5*o + 2/5*o**4 + 4/5 - 2/5*o**3.
2*(o - 2)*(o - 1)*(o + 1)**2/5
Let a(y) = -y**3 + y. Suppose 0 + 12 = 2*j + 2*g, -3*g = 3. Let f(t) = -4*t**3 - t**2 + 3*t. Let c(v) = j*a(v) - 2*f(v). Determine r so that c(r) = 0.
-1, 0
Let g(f) be the third derivative of f**9/60480 + f**8/20160 + f**5/60 + 2*f**2. Let l(y) be the third derivative of g(y). Solve l(p) = 0.
-1, 0
Let g be (2 - -1)*2/2. Factor 24*k - 3*k**4 - 26*k**2 - 10 + 3*k**4 + 2 - 2*k**4 + 12*k**g.
-2*(k - 2)**2*(k - 1)**2
Let r(n) = -7*n**2 + 2*n + 4. Let i(f) = 3*f**2 - f - 2. Let q(a) = 10*i(a) + 4*r(a). Find j such that q(j) = 0.
-1, 2
Let q(x) be the second derivative of 0*x**3 - 3*x + 1/12*x**4 + 0 + 0*x**2 - 7/40*x**5. What is i in q(i) = 0?
0, 2/7
Suppose 0 = c + r - 4*r - 4, 3*c - 3*r - 12 = 0. Suppose -2*a + 4 = u - 4*u, 5*a = c*u + 10. Factor -1/4*i - 1/4*i**2 + u.
-i*(i + 1)/4
Let k(t) be the second derivative of 7*t**6/30 - t**5/4 - t**4/6 + 5*t. Factor k(p).
p**2*(p - 1)*(7*p + 2)
Let s(t) be the second derivative of t**4/3 + 8*t**3/3 + 6*t**2 - 25*t. Solve s(v) = 0 for v.
-3, -1
Factor 0*q**2 + 0*q**4 + 4/9*q**3 + 0 - 2/9*q - 2/9*q**5.
-2*q*(q - 1)**2*(q + 1)**2/9
Let f(q) = 2*q + 3. Let h be f(0). Factor 0*t + t**h + 0 + 1/3*t**2 + 1/3*t**5 + t**4.
t**2*(t + 1)**3/3
Let a = 3107170/9 + -344874. Let x = 368 - a. Factor -8/9*c - x - 2/9*c**2.
-2*(c + 2)**2/9
Let u(v) be the second derivative of v**6/75 - 7*v**5/25 + 49*v**4/30 + v. Solve u(w) = 0 for w.
0, 7
Let s(l) be the first derivative of -1/6*l**4 + 2*l**2 + 1/3*l**3 + l - 3. Let p(d) be the first derivative of s(d). Solve p(o) = 0 for o.
-1, 2
Let j = 3 - 2. Suppose -2*r - j = -5. What is c in -1/3*c**r - 4/3 - 4/3*c = 0?
-2
Let l = -5 + 1. Let r be (-14)/(-20)*l/(-7). Suppose -4/5*i - r*i**2 - 2/5 = 0. Calculate i.
-1
Let y be 4/(-18) + (-25)/9. Let i(z) = 3*z**2 - 6*z + 3. Let q(l) = 2*l**2 - 5*l + 2. Let h(m) = y*i(m) + 4*q(m). Factor h(b).
-(b + 1)**2
Let s(r) = -r**5 - r**4 + r**3 + r. Let l(p) = 20*p**5 + 22*p**4 - 14*p**3 + 4*p**2 - 28*p - 4. Let t(h) = -2*l(h) - 44*s(h). Factor t(a).
4*(a - 2)*(a - 1)*(a + 1)**3
Let h(j) be the second derivative of -2*j**7/7 + 19*j**6/30 + j**5/5 - 3*j**4/2 + 4*j**3/3 - j**2/2 + j. Suppose h(f) = 0. Calculate f.
-1, 1/4, 1/3, 1
Let q = 4 + -1. Let 4*h**3 + 0*h**q + 0*h**3 - 2*h**3 + 2*h**2 = 0. What is h?
-1, 0
Suppose 12 + 1768*j - 2*j**2 - 1786*j + 8 = 0. Calculate j.
-10, 1
Factor 0 + 8*g**3 - 285/8*g**4 + 225/8*g**5 - 1/2*g**2 + 0*g.
g**2*(g - 1)*(15*g - 2)**2/8
Suppose 2*b + 1 - 7 = 0. Let f(p) be the second derivative of 0*p**b + 0 + 1/6*p**4 + 0*p**2 + p + 1/10*p**5. Factor f(q).
2*q**2*(q + 1)
Let n(g) be the second derivative of -5*g**4/12 - 20*g**3/3 - 40*g**2 - 15*g. Find d, given that n(d) = 0.
-4
Let p(q) be the third derivative of q**6/60 + 2*q**5/15 + q**4/3 - q**2. Determine f, given that p(f) = 0.
-2, 0
Let h(i) be the first derivative of 0*i**2 + 1/42*i**7 + 0*i**6 - 1/20*i**5 - 1 + i + 0*i**4 + 0*i**3. Let j(z) be the first derivative of h(z). Solve j(f) 