t x(u) = -38*u**2 - 65*u - 13*u + 16 - 31*u**2 + 5. Let d(t) = -2*x(t) - 15*z(t). Find b such that d(b) = 0.
-1, 1/4
Let m = 3 + 0. Solve -3*b**5 + 5*b**3 - m*b - b**3 + 2*b**3 = 0 for b.
-1, 0, 1
Suppose 0 = z + 1 - 15. Let r be (-10)/z + (-4)/(-4). Let -16/7*u**3 - r*u + 0 + 2*u**2 - 32/7*u**4 = 0. What is u?
-1, 0, 1/4
Let s be 2/8 + (-10)/72. Let f(n) be the second derivative of 0 - 2*n + 0*n**2 - 1/9*n**3 + s*n**4 - 1/30*n**5. Factor f(m).
-2*m*(m - 1)**2/3
Let t(d) = -d**2 + 4*d - 1. Let m be t(2). Find q, given that 0 - 1/2*q**m - 1/6*q**2 + 1/3*q**5 + 1/6*q**4 + 1/6*q = 0.
-1, 0, 1/2, 1
Suppose 31 - 11 = 4*l. Let n(o) be the third derivative of 1/6*o**4 - 3*o**2 + 1/6*o**3 + 0*o - 1/30*o**6 - 1/60*o**l + 0. Factor n(f).
-(f - 1)*(f + 1)*(4*f + 1)
Let v(t) be the first derivative of 2*t + 0*t**3 + 1 + 1/6*t**4 - t**2. Let i(q) be the first derivative of v(q). Suppose i(y) = 0. What is y?
-1, 1
Solve -3*l**2 + 41*l**3 + 5 + 41*l**3 - 1 - 83*l**3 = 0.
-2, 1
Let r(s) be the third derivative of 0*s + 5*s**2 - 1/20*s**5 + 0 + 3/2*s**3 + 1/4*s**4. Determine x so that r(x) = 0.
-1, 3
Determine k, given that -9*k + 15*k**2 - 9*k**2 - 2 - 3*k**5 + 12*k**3 - 4 = 0.
-1, 1, 2
Let h(t) = -39*t**4 - 129*t**3 + 186*t**2 + 18*t + 18. Let a(d) = -11*d**4 - 37*d**3 + 53*d**2 + 5*d + 5. Let f(s) = 18*a(s) - 5*h(s). Solve f(p) = 0.
-8, 0, 1
Let g = 28 - 19. Let l(q) = -3*q**4 + 16*q**3 - 12*q**2 - 4*q. Let m(v) = -6*v**4 + 33*v**3 - 24*v**2 - 9*v. Let j(a) = g*l(a) - 4*m(a). Factor j(d).
-3*d**2*(d - 2)**2
Factor -11*g**3 + 3*g**3 + 10*g**3 - 8*g**4 + 2*g**3 + 4*g**5.
4*g**3*(g - 1)**2
Suppose -57*z = -65*z. Factor -1/2*l - 1/2*l**2 + z.
-l*(l + 1)/2
Suppose -t = -5*t + 4. Let z(h) = 5*h**2 + 2*h - 1. Let d be z(t). Factor 2 + 2*j**3 - 6*j**5 + 8*j**5 - d*j**4 + 2*j**3 + 0 + 4*j**2 - 6*j.
2*(j - 1)**4*(j + 1)
Let t(a) = a**5 - 7*a**4 + 5*a**3 - 6*a. Let d(r) = -r**4 + r**3 - r. Let c(s) = 21*d(s) - 3*t(s). What is p in c(p) = 0?
-1, 0, 1
Let w be (22/(-55))/((-2)/10). Let a = 0 - -2. What is n in 1 + 3*n**a - 2 - n**w - n**4 = 0?
-1, 1
Let k(o) be the first derivative of o**7/210 + o**6/120 - o**5/60 - o**4/24 - o**2 - 1. Let g(u) be the second derivative of k(u). Find i, given that g(i) = 0.
-1, 0, 1
Factor -1/6*m**2 - 49/6 - 7/3*m.
-(m + 7)**2/6
Let n(w) = -w - 1. Let g(d) = -3*d**2 + 4*d + 7. Let i(b) = -b**3 + 6*b**2 - 6*b + 4. Let z be i(5). Let x(q) = z*g(q) - 4*n(q). Factor x(v).
3*(v - 1)*(v + 1)
Let i(j) be the third derivative of -j**6/300 - j**5/75 + j**4/15 + 8*j**3/15 + 4*j**2. Solve i(d) = 0.
-2, 2
Let f(s) = 11*s**3 - 6*s**2 + 6*s - 2. Let d(o) = 5*o**3 - 3*o**2 + 3*o - 1. Let i(y) = -9*d(y) + 4*f(y). Factor i(k).
-(k - 1)**3
Let v(k) = -4*k**3 - 2*k**2 + 3*k + 4. Let f be v(-1). Factor 1/2*i**2 + 0 - 1/2*i**4 - 1/2*i + 1/2*i**f.
-i*(i - 1)**2*(i + 1)/2
Let z = -29 - -66. Factor 37*b**2 - z*b**2 - b**3.
-b**3
Suppose 0*p = -3*p - 21. Let s = 22/3 + p. Find r, given that -r - s - r**2 - 1/3*r**3 = 0.
-1
What is l in 2*l**2 + 5*l - 3*l + 4*l = 0?
-3, 0
Let f(o) = o**3 - 5*o**2 + 2*o - 8. Let t be f(5). Let j(l) be the first derivative of 4/9*l**3 + 2 + 0*l - 1/6*l**4 - 1/3*l**t. Factor j(x).
-2*x*(x - 1)**2/3
Let i(r) be the second derivative of -1/36*r**4 - 1/9*r**3 - 1/6*r**2 + 0 + r. Factor i(z).
-(z + 1)**2/3
Let t be 84/(-35)*(-10)/3. Let h be t/(-6) + 200/30. Solve -7/3*g**4 + h*g - 8/3*g**2 - 1/3*g**5 + 16/3 - 16/3*g**3 = 0 for g.
-2, 1
Factor 0*d + 0 + d**3 + 1/3*d**5 + d**4 + 1/3*d**2.
d**2*(d + 1)**3/3
Let z(t) be the third derivative of -t**8/168 - t**7/175 + t**6/25 - 2*t**5/75 - 27*t**2. What is w in z(w) = 0?
-2, 0, 2/5, 1
Let k(g) be the second derivative of g**7/1260 - g**6/270 + g**5/180 - g**3/6 + g. Let j(d) be the second derivative of k(d). Factor j(x).
2*x*(x - 1)**2/3
Suppose -q - 100 = -103. Factor -2/7*b**5 + 0 + 2/7*b - 4/7*b**2 + 0*b**q + 4/7*b**4.
-2*b*(b - 1)**3*(b + 1)/7
Let a(y) be the second derivative of -y**8/224 + y**7/84 - y**6/120 + y**2/2 - y. Let b(i) be the first derivative of a(i). Factor b(h).
-h**3*(h - 1)*(3*h - 2)/2
Solve -3*q - 31 + 7*q + 2*q**2 + 33 = 0.
-1
Let c(l) be the second derivative of 0 + l - 6/5*l**5 + l**4 + 0*l**3 - 1/14*l**7 + 1/2*l**6 + 0*l**2. Suppose c(y) = 0. What is y?
0, 1, 2
Suppose 0 - 3/5*w**2 + 6/5*w - 3/5*w**3 = 0. Calculate w.
-2, 0, 1
Factor -16*l + 8*l**2 - 27 + 14 + 4*l**3 - 19.
4*(l - 2)*(l + 2)**2
Let r = -8231/24 - -343. Let p(v) be the second derivative of 0*v**2 + r*v**4 + 0 - 2*v - 1/12*v**3. Find u such that p(u) = 0.
0, 1
Find w, given that -5/6*w**2 - 10/3*w + 10/3*w**3 + 5/6 = 0.
-1, 1/4, 1
Let y(b) be the first derivative of -b**7/2520 + b**6/540 - b**5/360 - b**3/3 - 2. Let l(j) be the third derivative of y(j). Solve l(x) = 0 for x.
0, 1
Let 0*v - 9/4*v**3 + 3/2*v**2 + 0 + 3/4*v**4 = 0. Calculate v.
0, 1, 2
Suppose 0*q = q. Let l(a) be the third derivative of 1/240*a**6 + q*a + 0 - 1/48*a**4 + 0*a**5 + a**2 + 0*a**3. Factor l(z).
z*(z - 1)*(z + 1)/2
Let p(w) be the first derivative of 0*w**3 - 3/4*w**2 - 1/4*w**6 + 0*w**5 + 0*w + 3 + 3/4*w**4. Let p(v) = 0. Calculate v.
-1, 0, 1
Let u be 13/3 - (-6)/(-18). Factor -1/4*v**5 + 0 - 2*v**3 + 0*v + v**2 + 5/4*v**u.
-v**2*(v - 2)**2*(v - 1)/4
Let i(o) = 5*o**5 - 31*o**4 + 6*o**3 + 31*o**2 + 11*o + 11. Let t(f) = -f**5 + 6*f**4 - f**3 - 6*f**2 - 2*f - 2. Let h(d) = 2*i(d) + 11*t(d). Factor h(y).
-y**2*(y - 4)*(y - 1)*(y + 1)
Let t be 2 + -2 + -1 - -4. Solve 5 - t + 5 + 2 - 6*p - 3*p**2 = 0.
-3, 1
Factor 1 - 3*u**5 + 6*u**3 + 9*u**2 - 2*u**4 - 3*u**2 - u**4 - 4 - 3*u.
-3*(u - 1)**2*(u + 1)**3
Let h(n) be the second derivative of -n**4/12 + 2*n**2 + 6*n. Let h(l) = 0. Calculate l.
-2, 2
Let a = 603 + -1205/2. Find v such that -1/2*v**2 + a*v + 1 = 0.
-1, 2
Let p(r) = -r**2 - 5*r - 2. Let k be p(-4). Let d be (10/(-25))/((-1)/5). Let -2*y + 4*y**3 - d + k + 0*y**3 - 2*y**5 = 0. What is y?
-1, 0, 1
Let c = -6 + 8. Let m = c - -1. Find y such that 0*y**2 + 2*y - 2*y**3 + 2*y**4 - 2*y**2 + 2*y**m - 2*y**3 = 0.
-1, 0, 1
Factor -2/3*w + 0 - 4/3*w**2.
-2*w*(2*w + 1)/3
Let h(x) be the third derivative of x**9/30240 - x**7/2520 + x**5/30 + 4*x**2. Let o(k) be the third derivative of h(k). Determine j so that o(j) = 0.
-1, 0, 1
Let d(l) be the first derivative of 5/12*l**4 - 2/15*l**5 + 1/3*l - 1/6*l**2 - 1/3*l**3 + 6. Factor d(b).
-(b - 1)**3*(2*b + 1)/3
Suppose 3 + 3 = 2*i. Let y(z) be the second derivative of -2*z**2 + z - z**i + 0 - 1/6*z**4. Find f such that y(f) = 0.
-2, -1
Let u(j) = -3*j**3 + 13*j**2 - 35*j + 25. Let p(c) = c**3 - c**2. Let t(q) = 6*p(q) + 3*u(q). Factor t(d).
-3*(d - 5)**2*(d - 1)
Let g(u) be the first derivative of -u**3/2 + 3*u/2 - 12. Factor g(r).
-3*(r - 1)*(r + 1)/2
Let j(b) be the third derivative of -b**6/120 - b**5/10 - 3*b**4/8 - 2*b**3/3 + b**2. Find f such that j(f) = 0.
-4, -1
Let w(z) be the second derivative of -z**7/10080 - z**6/2880 - z**4/3 + 3*z. Let g(n) be the third derivative of w(n). Factor g(o).
-o*(o + 1)/4
Let w be (-4)/((-280)/54) + (-12)/60. Find g such that 2/7*g**2 + 2/7*g - w = 0.
-2, 1
Let d(o) be the second derivative of o**4/22 + 14*o**3/11 + 147*o**2/11 + 18*o. Factor d(w).
6*(w + 7)**2/11
Let 0 + 2/5*v - 2/5*v**2 = 0. Calculate v.
0, 1
Suppose 0 = 3*h - 12, 3*h + 5 = 3*r + 17. Let n(v) be the third derivative of 1/30*v**3 + r + 0*v - v**2 - 1/300*v**5 + 1/600*v**6 - 1/120*v**4. Factor n(c).
(c - 1)**2*(c + 1)/5
Let k(s) be the second derivative of 3*s**5/140 - 9*s**4/28 + 12*s**3/7 - 30*s**2/7 + 10*s. Determine r so that k(r) = 0.
2, 5
Let i(b) = -5*b**4 - 2*b**3 + 3*b**2 + 3*b + 3. Let x(n) = -24*n**4 - 10*n**3 + 14*n**2 + 14*n + 14. Let c(y) = 14*i(y) - 3*x(y). Suppose c(v) = 0. Calculate v.
-1, 0
Let l = 96 + -91. Let m(k) be the third derivative of -1/120*k**6 + 0 + 0*k**3 + 4*k**2 + 0*k - 1/30*k**l - 1/24*k**4. Find w, given that m(w) = 0.
-1, 0
Let y(g) be the first derivative of -g**5/120 + g**3/36 - g - 3. Let o(j) be the first derivative of y(j). Solve o(r) = 0.
-1, 0, 1
Let j(p) be the first derivative of -3*p**4/4 + 3*p**3 + 3*p**2/2 - 9*p + 2. Solve j(c) = 0 for c.
-1, 1, 3
Determine t, given that -15/2 + 3/2*t**2 + 6*t = 0.
-5, 1
Determine k, given that -14*k**3 + 4*k**2 + 27*k**3 - 4 + 4*k - 17*k**3 = 0.
-1, 1
Let k(x) be the third derivative of x**