+ 8/13*t + 2/13*t**3 = 0?
-4, -1, 0
Let d be (4 - 1) + -8 + 10. Let y(n) be the first derivative of -1/5*n**d + 0*n + 0*n**2 + 1/3*n**3 + 1/6*n**6 - 1/4*n**4 - 7. Factor y(z).
z**2*(z - 1)**2*(z + 1)
Let c(o) = -46*o - 690. Let s be c(-15). Factor -1/5*p**2 - 3/5*p + s.
-p*(p + 3)/5
Let f(u) be the second derivative of u**7/42 - u**6/3 + 33*u**5/20 - 10*u**4/3 + 8*u**3/3 + 4*u - 8. Determine r so that f(r) = 0.
0, 1, 4
Let g(z) be the first derivative of 0*z**2 - 1/4*z**4 + 0*z + 0*z**3 + 1/5*z**5 - 8. Solve g(v) = 0 for v.
0, 1
Let j(p) = p**3 + 3*p**2 + 42*p + 32. Let r(f) = -12*f**3 - 34*f**2 - 468*f - 352. Let q(g) = 68*j(g) + 6*r(g). Let q(w) = 0. What is w?
-2, 4
Let t(f) = 3*f**2 - 28*f - 60. Let k(y) = y**2. Let v(n) = 6*k(n) - 3*t(n). Factor v(u).
-3*(u - 30)*(u + 2)
Let z = -18821/4 + 4712. Determine x, given that -3/4*x**3 - 9/2*x**2 - 3 - z*x = 0.
-4, -1
Let b = -1570 - -1572. Find j, given that -2/5*j**b - 12/5 - 2*j = 0.
-3, -2
Let k = -2353 - -2356. Factor 0*i + 2/3 + 1/6*i**k - 1/2*i**2.
(i - 2)**2*(i + 1)/6
Let c(x) = 25*x**2 + 20*x + 7. Let w(f) = -7. Let n(l) = -5 + 1 + 0. Let m(o) = 5*n(o) - 3*w(o). Let i(t) = c(t) - 3*m(t). Factor i(d).
(5*d + 2)**2
Let v(i) be the third derivative of -i**8/2016 + i**7/252 + 11*i**6/432 + i**5/24 + i**3 + 24*i**2. Let o(q) be the first derivative of v(q). Factor o(p).
-5*p*(p - 6)*(p + 1)**2/6
Suppose 13*l = -c + 15*l - 61, 3*c - 2*l + 163 = 0. Let v be (-8)/c*504/96. Factor 6/17*p**3 - 4/17 + v*p - 16/17*p**2.
2*(p - 1)**2*(3*p - 2)/17
Let h(j) be the second derivative of -48*j - 1/60*j**5 + 0*j**2 + 1/9*j**4 - 2/9*j**3 + 0. Factor h(t).
-t*(t - 2)**2/3
Let j be (36/8)/(-3)*-6. Factor j*m**2 - 5*m**4 - 3*m**3 + 0*m**4 - m**5 + 0*m**4.
-m**2*(m - 1)*(m + 3)**2
Factor -45/2*z**4 - 175*z**3 + 0*z + 0 + 40*z**2.
-5*z**2*(z + 8)*(9*z - 2)/2
Factor -51*c + 1 - 4*c**2 + 16*c + 89 - c**2.
-5*(c - 2)*(c + 9)
Let j(b) be the first derivative of -4 + 1/9*b**3 + 1/6*b**5 + 0*b**2 + 1/3*b**4 - 5*b. Let i(s) be the first derivative of j(s). Factor i(f).
2*f*(f + 1)*(5*f + 1)/3
Let h = -1 - -40. Factor h*d**2 + 2*d**4 - 36*d + 4*d**4 + 12 - 15*d**4 + 12*d**4 - 18*d**3.
3*(d - 2)**2*(d - 1)**2
Let f(l) = 2*l**2 + l + 3. Let d(g) = g**3 - 6*g**2 + 20*g - 9. Let t(y) = -4*d(y) + 4*f(y). Factor t(z).
-4*(z - 4)*(z - 3)*(z - 1)
Let k = 32 + -31. Let n(t) = -3*t**2 + 4*t + 7. Let y(m) = m**2 - 1. Let q(v) = k*n(v) + 5*y(v). Factor q(l).
2*(l + 1)**2
Let s = 13642 - 13641. Factor 1/4*c**4 + 1/4*c**3 - s + 11/4*c - 9/4*c**2.
(c - 1)**3*(c + 4)/4
Factor 240/23*i**2 - 8/23*i + 0 - 550/23*i**3.
-2*i*(5*i - 2)*(55*i - 2)/23
Let o be ((8/5)/(-4))/((-1696)/1060). Solve -343/4 - 147/4*n - 21/4*n**2 - o*n**3 = 0 for n.
-7
Factor 170 - 15*c**2 - 165*c + 46*c**2 - 19*c**2 - 17*c**2.
-5*(c - 1)*(c + 34)
Let h(x) be the third derivative of -x**6/40 - 7*x**5/10 - 11*x**4/2 - 20*x**3 + 43*x**2. Factor h(f).
-3*(f + 2)**2*(f + 10)
Find k such that -1/3*k**3 + 2/3*k + 1/3*k**2 + 0 = 0.
-1, 0, 2
Let s(u) be the third derivative of -u**8/1008 + u**7/630 + 13*u**6/360 - u**5/180 - u**4/6 - 519*u**2. Find j such that s(j) = 0.
-3, -1, 0, 1, 4
Let k(m) be the third derivative of 13/9*m**4 + 0 - 10/9*m**3 + 0*m + 5/72*m**6 + 35*m**2 - 29/36*m**5. Suppose k(y) = 0. What is y?
2/5, 5
Let f(g) = -1 + 10*g + 5*g**2 - 4*g - 2*g**3 + 10. Let h(d) = -d**2 + 11*d + 23*d - 1 - 34*d. Let w(o) = f(o) + 5*h(o). Factor w(j).
-2*(j - 2)*(j + 1)**2
Let s(k) be the first derivative of 1/12*k**3 - k**2 + 11 + 4*k. Factor s(h).
(h - 4)**2/4
Let q(x) be the first derivative of x**4/96 - 5*x**3/24 + 25*x**2/16 + 4*x + 13. Let p(j) be the first derivative of q(j). Determine n, given that p(n) = 0.
5
Let t(o) = -o**5 + 2*o**2 + o - 1. Let m(b) = -8*b**5 + 12*b**4 - 38*b**2 + 53*b - 5. Let g(d) = m(d) - 5*t(d). Solve g(q) = 0 for q.
-2, 0, 2
Let f(z) = 375*z**5 - 630*z**4 + 35*z**3 + 110*z**2 - 10*z. Let b(a) = -a**5 - a**3 - a**2 - a. Let q(h) = -30*b(h) + f(h). Let q(x) = 0. What is x?
-2/9, 0, 1
Let l(m) = m**2 - 9*m + 2. Let n be l(9). Suppose -b - 4*s = -2, 0 = -2*b - 4*s - 0*s + 4. Factor 2*f - f**4 - f**4 - b*f**3 + 4*f**4 - n*f**2.
2*f*(f - 1)**2*(f + 1)
Let r(q) be the second derivative of 1/12*q**4 + 0 + 0*q**2 + 1/20*q**5 + q + 0*q**3. Suppose r(p) = 0. Calculate p.
-1, 0
Suppose 32 - 132 = -4*v. Factor -40*u + 246 - 246 + v*u**4 + 140*u**2 - 110*u**3.
5*u*(u - 2)**2*(5*u - 2)
Let v = -29 + 31. Find p such that v*p**4 + 6*p**2 - 27 + 36*p + 8*p**4 - 12*p**3 - 13*p**4 = 0.
-3, 1
Let b be (-1)/(5 - (-2)/((-4)/70)). Let w(h) be the second derivative of -9*h + 0*h**2 + 0 - 2/15*h**3 + b*h**4. Solve w(d) = 0 for d.
0, 2
Suppose -2*c + 11 = y, -5*y = 2*c - 4 - 11. Let -2*r**4 + 2*r**2 + 5*r - r - 4*r + 2*r**3 - 2*r**c = 0. What is r?
-1, 0, 1
Suppose 3*b + 32 = 5*x + 11, -33 = -4*x - 3*b. Let d(y) be the first derivative of -x - 1/15*y**3 - 1/5*y**2 + 0*y. Factor d(p).
-p*(p + 2)/5
Let h = 0 + 0. Let w be 6 + -1 + h + -2. Solve 2*a**3 - 9*a**2 - 10*a - w*a**3 + 8 - 17*a - 35 = 0 for a.
-3
Let j be 1*(-4 + ((-1)/1 - 0)). Let c(a) = a**3 - 41*a**2 + 59*a. Let f(r) = r**3 - 20*r**2 + 29*r. Let t(q) = j*f(q) + 2*c(q). Factor t(l).
-3*l*(l - 3)**2
Suppose 2 = -4*c - 18. Let a be c/10*-16 - 0. Solve 8 + 8*x**2 + 4*x - a*x**2 - 4*x**2 = 0 for x.
-1, 2
Let q(i) be the third derivative of -1/4*i**5 + 0*i**4 - 24*i**2 + 10/3*i**3 + 0 + 0*i + 1/24*i**6. Factor q(w).
5*(w - 2)**2*(w + 1)
Let d(i) be the first derivative of -i**6/3 + 12*i**5/5 - 5*i**4 + 11*i**2 - 12*i - 21. Determine l, given that d(l) = 0.
-1, 1, 2, 3
Let f(a) be the first derivative of 3/4*a**3 + 3/2*a**2 - 39 - 21/16*a**4 + 0*a. Solve f(t) = 0.
-4/7, 0, 1
Suppose 2*v = -4*z + 16, 3*z = -5*v + 11 + 1. Let s be 0/(5/5 + v). Solve -1/4*f**2 + s*f + 1/4 = 0 for f.
-1, 1
Let p(q) = -37*q + 148. Let h be p(4). Let n(z) be the first derivative of h*z**2 + 0*z**3 + 0*z - 1/10*z**4 + 6. Factor n(v).
-2*v**3/5
Let g = -1365 - -1367. Let l(z) be the first derivative of 1/20*z**4 + 2/15*z**3 + 1/10*z**g + 12 + 0*z. Factor l(f).
f*(f + 1)**2/5
Let u(a) be the second derivative of -a**6/1080 - a**5/90 - a**4/18 - a**3/3 - 5*a. Let b(m) be the second derivative of u(m). Suppose b(r) = 0. Calculate r.
-2
Let z = 98876/105 + -6588/7. What is u in 0*u**3 - 2/15*u**4 - z*u + 6/5*u**2 - 8/5 = 0?
-3, -1, 2
Let z(u) be the second derivative of u**6/10 - 33*u**5/20 + 6*u**4 + 18*u**3 + 41*u - 5. Determine a, given that z(a) = 0.
-1, 0, 6
Let n be 216/21 - 4/14. Suppose -2*p = 5*f - n + 21, 2 = -2*p - 2*f. Factor -3*g**2 + 0*g**2 - 3*g + 0*g**p.
-3*g*(g + 1)
Let h(n) be the third derivative of -n**8/70560 - n**7/4410 - n**6/630 - 2*n**5/5 - 20*n**2. Let f(c) be the third derivative of h(c). Factor f(d).
-2*(d + 2)**2/7
Determine f, given that 20*f**4 + 6/11*f**5 + 1444/11 + 1852/11*f**3 - 3264/11*f**2 - 3458/11*f = 0.
-19, -1, 1/3, 2
Let p = 22/955 - -114314/12415. Solve -212/13*t**2 + 198/13*t**4 - 94/13*t**3 + p*t - 16/13 - 56/13*t**5 = 0 for t.
-1, 1/4, 2/7, 2
Let b(m) be the third derivative of -12*m**2 + 0 - 1/150*m**6 + 0*m - 1/525*m**7 + 1/150*m**5 + 1/30*m**4 + 0*m**3. Factor b(u).
-2*u*(u - 1)*(u + 1)*(u + 2)/5
Let z(u) be the third derivative of u**7/240 - 23*u**6/960 - 53*u**5/240 - 13*u**4/48 + u**3/2 - 45*u**2 + 3. Suppose z(f) = 0. What is f?
-2, -1, 2/7, 6
Let a be (-5 + 7 - -3) + (-3)/1. Let k(i) be the third derivative of 0*i - 1/96*i**4 + 1/480*i**6 + 0*i**5 + 0*i**3 - 5*i**a + 0. Factor k(z).
z*(z - 1)*(z + 1)/4
Determine h, given that -16*h**2 - 7*h + 3*h**3 + 43*h**2 + 25*h + 36*h = 0.
-6, -3, 0
Suppose -5*n = -2*n - 96. Find k, given that -n*k - 5*k**3 - 23*k**2 - 2*k**2 + 0*k - 20 - 8*k = 0.
-2, -1
Let x(c) be the first derivative of 4*c**3/3 + 16*c**2 + 64*c - 113. Factor x(d).
4*(d + 4)**2
Solve -414/7 - 2/7*p**3 - 42*p - 58/7*p**2 = 0.
-23, -3
Let i(r) be the first derivative of -2*r**5/25 - 4*r**4/5 + 2*r**3/15 + 8*r**2/5 - 60. Factor i(x).
-2*x*(x - 1)*(x + 1)*(x + 8)/5
Let c(q) be the third derivative of 0*q - 7/300*q**6 + 0 + 1/525*q**7 + 1/10*q**5 - 22*q**2 - 13/60*q**4 + 4/15*q**3. Find b, given that c(b) = 0.
1, 4
Let b = 2036 - 2034. Solve 98/13*u**3 + 84/13*u**b + 18/13*u + 0 = 0.
-3/7, 0
Let g(k) = -k**2 + 46*k + 147. Let d be g(-3). Factor 1/11*h + d - 1/11*h**2.
-h*(h - 1)/