3*l**4 - 278/3*l**3 - 194/3*l**2 - d = 0.
-1, -2/5
Factor -1/6*b**4 - 3/2 + 1/3*b**2 - 2/3*b**3 + 2*b.
-(b - 1)**2*(b + 3)**2/6
Let h = -25 + 24. Let k = h + 3. What is o in -4*o - o**4 + 17/3*o**3 - 5/3*o**5 + 4/3 - 1/3*o**k = 0?
-2, -1, 2/5, 1
Let v(x) be the first derivative of 4*x**4 + 46*x**3/3 + 13*x**2 - 4*x - 38. Find n, given that v(n) = 0.
-2, -1, 1/8
Let l(x) be the third derivative of x**8/60480 - x**7/15120 - x**5/60 - 5*x**2. Let y(f) be the third derivative of l(f). Factor y(h).
h*(h - 1)/3
Suppose -3/4*p**2 + 3*p - 9/4 = 0. Calculate p.
1, 3
Let y(b) be the second derivative of -2*b**6/15 - b**5/5 + 32*b. Factor y(a).
-4*a**3*(a + 1)
Let v = -63 - -127/2. Let t(r) be the second derivative of 4/15*r**6 + 0 - 2/3*r**3 + 4*r - 7/6*r**4 + 0*r**2 + v*r**5. Factor t(w).
2*w*(w - 1)*(w + 2)*(4*w + 1)
Factor 6*w + 6*w - 7*w**4 + 20*w**3 - 28*w**2 + 3*w**4.
-4*w*(w - 3)*(w - 1)**2
Let h(v) be the third derivative of 1/6*v**3 + 3*v**2 + 1/60*v**5 - 1/12*v**4 + 0 + 0*v. Factor h(n).
(n - 1)**2
Let x(a) be the first derivative of -a**4/66 - 8*a - 3. Let y(s) be the first derivative of x(s). Factor y(v).
-2*v**2/11
Suppose 4*t = -r + 8, 0*r = t - 3*r - 15. Let c(x) be the second derivative of 1/10*x**5 + 0*x**2 + 2*x + 0*x**t + 1/6*x**4 + 0. Factor c(h).
2*h**2*(h + 1)
Let n = 11 + -3. Factor 39*j**2 + 33*j**2 + 98*j**5 + 252*j**4 + 51*j**3 + 167*j**3 + n*j.
2*j*(j + 1)**2*(7*j + 2)**2
Let l(o) = -o**2 - 5*o - 4. Let b be l(-4). Suppose b = -2*s + s + 2. Let 0*c + 0 - 1/3*c**3 + 0*c**s = 0. What is c?
0
Suppose 2*k + 3*t = 12, -2*k + 2*t + 4 = t. Suppose -1 + 41/2*a**k - 37/2*a**2 + 15/2*a - 21/2*a**4 + 2*a**5 = 0. Calculate a.
1/4, 1, 2
Let a(d) be the third derivative of -d**8/840 - d**7/210 - d**6/180 + d**3/3 + d**2. Let p(c) be the first derivative of a(c). Factor p(t).
-2*t**2*(t + 1)**2
Let z(y) = -4*y**3 - 21*y**2 + 13*y + 13. Let d(v) = -v**3 - 5*v**2 + 3*v + 3. Let j(b) = 26*d(b) - 6*z(b). Factor j(m).
-2*m**2*(m + 2)
Let n(c) be the second derivative of c**5/4 - 5*c**4/6 - 10*c**3/3 + 20*c**2 - c. What is t in n(t) = 0?
-2, 2
Let s(m) be the first derivative of -7*m**5/50 + m**4/10 + 18. Find v, given that s(v) = 0.
0, 4/7
Let h(k) be the third derivative of k**5/270 - 11*k**4/216 - k**3/9 - 25*k**2. Factor h(i).
(i - 6)*(2*i + 1)/9
Suppose -3*d - 72 = d. Let b = 36 + d. Solve -2/3*i - b*i**5 + 0 - 36*i**4 - 20/3*i**2 - 24*i**3 = 0.
-1, -1/3, 0
Let g(t) be the first derivative of t**8/5880 + t**7/1470 + t**6/1260 - 2*t**3/3 - 1. Let o(v) be the third derivative of g(v). Let o(r) = 0. What is r?
-1, 0
Let x(p) be the first derivative of -p**8/2520 + p**7/630 - p**6/540 - p**3 + 2. Let z(h) be the third derivative of x(h). What is w in z(w) = 0?
0, 1
Let y(j) be the first derivative of 5/4*j**2 - j - 3 + 7/6*j**3. Factor y(w).
(w + 1)*(7*w - 2)/2
Let z(i) be the first derivative of -2*i**5/35 + 4*i**4/7 - 10*i**3/7 - 8*i**2/7 + 32*i/7 - 19. Find h such that z(h) = 0.
-1, 1, 4
Find k, given that 9*k**3 + 14*k**5 + 38*k**4 + 21*k + 2*k**2 - 25*k + 21*k**3 = 0.
-1, 0, 2/7
Suppose 2*y + 88 = 4*y. Let k = y - 175/4. Factor 0*m + k*m**2 - 1/4*m**5 + 1/4*m**3 + 0 - 1/4*m**4.
-m**2*(m - 1)*(m + 1)**2/4
Let i(v) be the first derivative of -v**3/2 + 9*v**2/2 - 15*v/2 + 26. Let i(n) = 0. What is n?
1, 5
Suppose 2*o - 12 = -t + 3*t, 2*o + 3*t = -3. Let -16*i**3 - 3*i + 14*i**o + 5*i = 0. What is i?
-1, 0, 1
Suppose 0 = -s - 3*b - b - 4, 5*s + 2*b - 16 = 0. Suppose 0 - 1/2*t**s - 2*t + 0*t**2 + 3/2*t**3 = 0. Calculate t.
-1, 0, 2
Let k(j) be the first derivative of -j**6/21 - 4*j**5/35 - j**4/14 + 16. Factor k(y).
-2*y**3*(y + 1)**2/7
Let f(k) = -5*k + 3. Let s(b) = -6*b + 2. Let n(i) = -4*f(i) + 3*s(i). Let d be n(5). What is t in t**3 + 0 + 1/3*t + 1/3*t**d + t**2 = 0?
-1, 0
Let r(i) = 2*i**2 - 53*i + 29. Let f be r(26). Suppose -1/6*q - 11/2*q**f - 20/3*q**4 - 5/3*q**2 + 0 - 8/3*q**5 = 0. What is q?
-1, -1/4, 0
Let u(a) be the first derivative of -a**5/10 + a**3/6 + 17. Solve u(g) = 0 for g.
-1, 0, 1
Let p(o) be the third derivative of o**5/40 + o**4/4 - 5*o**3/4 + 15*o**2. Factor p(m).
3*(m - 1)*(m + 5)/2
Let l(t) be the first derivative of -1/2*t**3 + 2/5*t**5 + 5/4*t**2 - 1/2*t - 5/8*t**4 - 2. Let l(f) = 0. Calculate f.
-1, 1/4, 1
Let s = -15 - -15. Let z(j) be the third derivative of 0*j**4 - 1/3*j**3 + 0 + s*j + 1/30*j**5 - 2*j**2. Let z(q) = 0. What is q?
-1, 1
Let q(y) be the first derivative of -1/2*y**4 + 2/5*y**5 - 2/3*y**3 + 0*y**2 + 1/3*y**6 + 2 + 0*y. Solve q(n) = 0 for n.
-1, 0, 1
Let m(b) = 9*b**2 - 3*b - 5. Let r(n) = -26*n**2 + 10*n + 14. Let s(u) = -14*m(u) - 5*r(u). Solve s(p) = 0.
0, 2
Let s(i) be the first derivative of i**8/840 - i**7/168 + i**6/90 - i**5/120 - i**3 - 5. Let m(f) be the third derivative of s(f). Factor m(p).
p*(p - 1)**2*(2*p - 1)
Let d(h) be the first derivative of 1/8*h**4 + 1/6*h**3 + 0*h + 4 - 1/4*h**2 - 1/10*h**5. What is z in d(z) = 0?
-1, 0, 1
Let r(n) = -17*n**2 + n - 3. Let o(i) = -5*i**2 - 1. Let f(m) = 7*o(m) - 2*r(m). Suppose f(w) = 0. What is w?
-1
Let l(y) be the first derivative of -20*y**3/3 - 6*y**2 + 8*y - 9. Factor l(v).
-4*(v + 1)*(5*v - 2)
Let i(x) be the first derivative of -x**5/30 + x**4/24 - 1. Determine c so that i(c) = 0.
0, 1
Let n(v) be the third derivative of 0 + 0*v - 1/30*v**3 - 3*v**2 - 1/300*v**5 - 1/60*v**4. Factor n(k).
-(k + 1)**2/5
Let c(a) = -6 + 7*a**3 - 2 - 2*a**2 - a - 5*a**2 + 3. Let d(w) = 20*w**3 - 20*w**2 - 3*w - 14. Let i(b) = -17*c(b) + 6*d(b). Factor i(v).
(v - 1)**2*(v + 1)
Let a(v) be the first derivative of -4/9*v**3 + 3 + 2/3*v**2 + 8/3*v. Factor a(x).
-4*(x - 2)*(x + 1)/3
Let 7*k**3 + 4*k**4 + 1 + 11*k**2 - 7*k - 3 - 12*k**4 - k**4 = 0. What is k?
-1, -2/9, 1
Factor -9 - 9*a**3 - 63*a**2 - 9*a + a**4 + 11*a**4 - 14*a - 28*a.
3*(a - 3)*(a + 1)**2*(4*a + 1)
Factor 6/5*r**4 - 2/5*r**5 + 0 + 0*r + 2/5*r**2 - 6/5*r**3.
-2*r**2*(r - 1)**3/5
Let v = -4 + 6. Let b(u) be the first derivative of 1 - 3/25*u**5 - 1/5*u**3 + 0*u - 3/10*u**4 + 0*u**v. Factor b(f).
-3*f**2*(f + 1)**2/5
Let i(j) be the second derivative of -j**4/36 - 2*j**3/9 - 2*j**2/3 - 9*j. Suppose i(z) = 0. What is z?
-2
Suppose d + 6 - 1 = 0. Let c(r) = -r**2 - 6*r - 2. Let w be c(d). Factor w*x + 1 - 1 - x + 2*x**2.
2*x*(x + 1)
Let z = -10 + 12. Factor -p**z + 3*p**2 - 4*p**2.
-2*p**2
Let r = -100 - -102. Let f(z) be the first derivative of -4 - 24/7*z**3 - 12/7*z**r - 2/7*z. Let f(v) = 0. Calculate v.
-1/6
Let z = -281867/11 + 25643. Let m = z - 244/33. Let m*j - 86/3*j**2 + 56/3*j**3 - 4/3 = 0. What is j?
1/4, 2/7, 1
Let f(c) = c**3 - 4*c**2 + 7*c - 5. Let s be f(4). Suppose -h - 17 = -2*m - 2*m, 4*h = m - s. Suppose 2 - 7*o + m*o + 0 + 2*o**2 = 0. Calculate o.
1
Let p(n) = -8*n**4 + 38*n**3 + 96*n**2 + 22*n - 16. Let g(l) = -7*l**4 + 39*l**3 + 97*l**2 + 21*l - 16. Let j(u) = -6*g(u) + 7*p(u). Let j(t) = 0. What is t?
-1, 2/7, 4
Let g be (5/3)/(-2 + 28/12). Let p(s) be the third derivative of 4*s**2 + 0*s**3 - 1/30*s**g + 0 + 0*s + 1/180*s**6 + 1/18*s**4. Let p(r) = 0. What is r?
0, 1, 2
Let r(u) be the second derivative of u**7/105 - 23*u**6/75 + 163*u**5/50 - 361*u**4/30 + 64*u**3/3 - 20*u**2 + 4*u - 3. Factor r(t).
2*(t - 10)**2*(t - 1)**3/5
Determine q, given that -8/3*q - 8/3 - 2/3*q**2 = 0.
-2
Factor -2/7*l**4 - 432/7*l**2 - 2592/7 + 48/7*l**3 + 1728/7*l.
-2*(l - 6)**4/7
Let b(c) = -2*c**3 - 33*c**2 + 363*c - 1331. Let h(q) = -q**3 - 33*q**2 + 363*q - 1331. Let p(t) = 2*b(t) - 3*h(t). Factor p(j).
-(j - 11)**3
Let w(l) be the first derivative of l**4 + 8*l**3 + 24*l**2 + 32*l - 17. Let w(i) = 0. Calculate i.
-2
Suppose x - 2 = 2. Let h be x/(-12) - 1*-1. What is w in -2*w**2 + 2*w + 2/3*w**3 - h = 0?
1
Let f be -2 + 33 + (-2 - 1). Suppose 0*l = 4*l - f. Factor 3 - l + 4 + 2*i**2.
2*i**2
What is j in 5*j**2 - 14*j + 60 - 14*j - 12*j = 0?
2, 6
Let v = 7977/5110 - -374/365. Let l = -23/10 + v. Factor -l*j**2 + 2/7*j**3 + 0 + 2/7*j**4 + 0*j - 2/7*j**5.
-2*j**2*(j - 1)**2*(j + 1)/7
Determine y so that -8*y**4 + 0 + 9*y**2 - 21*y**3 + 21*y + 4 - 7*y**4 + 2 = 0.
-1, -2/5, 1
Factor -2/11*h**2 + 2/11 + 0*h.
-2*(h - 1)*(h + 1)/11
Let q(m) be the first derivative of 5*m**4 - 4*m**3 + 6. Suppose q(i) = 0. Calculate i.
0, 3/5
Let z(r) be the second derivative of -1/150*r**5 - 1/60*r**4 + 3*r +