l) = -l**5 - l**4 + l + 1. Let c(r) = a(r) + 6*o(r). Let c(t) = 0. What is t?
-1, 1, 2
Let k(g) be the second derivative of g**7/21 - g**6/5 + 3*g**5/10 - g**4/6 - 9*g. Suppose k(w) = 0. Calculate w.
0, 1
Let g(s) be the third derivative of 3*s**5/5 - 4*s**4/3 - 58*s**2. Let g(j) = 0. Calculate j.
0, 8/9
What is u in u**3 + 6*u**2 + 9*u + 14 - 4 - 6 = 0?
-4, -1
Suppose -3*t + 16 = -5*t + 4*z, 0 = -4*z + 16. Suppose -2*j + t*j = -10. Solve 3*q**5 - 5*q**4 + 0*q**j + 2*q**4 = 0.
0, 1
Let y(o) be the second derivative of 9*o**5/20 + 2*o**4 - 3*o**3/2 - 3*o. Suppose y(r) = 0. What is r?
-3, 0, 1/3
Let r(j) be the third derivative of 0*j**4 - 1/180*j**6 + 0*j**3 + 0 - 1/45*j**5 + 2*j**2 + 0*j. Factor r(v).
-2*v**2*(v + 2)/3
Let n = -21 - -36. Suppose 13*w**4 - 12*w**5 - 16*w**2 + n*w**4 + 2*w**4 - 2*w**4 = 0. What is w?
-2/3, 0, 1, 2
Let r(d) be the first derivative of d**6/120 - d**5/20 + 2*d**3/3 - d**2/2 + 4. Let b(f) be the second derivative of r(f). Find z such that b(z) = 0.
-1, 2
Suppose -3*w - 13 = -2*p, p + 3*w + 3 = -13. Let d(t) = -2*t**3 - t**2 - 2*t - 1. Let h be d(p). Suppose -3*u + u**h + 8 - 5 - 1 = 0. Calculate u.
1, 2
Let k(n) be the first derivative of -n**4/2 - 2*n**3 + n**2 + 6*n + 16. Let k(h) = 0. What is h?
-3, -1, 1
Let q(x) = -2*x**4 - x**3 + 8*x**2 + 6*x - 1. Let n(m) = 26 + m**4 - 3*m**2 + 2*m**2 - m**3 - 27. Let z(r) = -n(r) + q(r). Determine c, given that z(c) = 0.
-1, 0, 2
Let p be -4*4/(-8)*2. Determine f, given that p*f - 4*f + 5*f + 2*f**2 - 3*f = 0.
-1, 0
Let h(o) be the third derivative of -o**8/504 - o**7/90 - o**6/40 - o**5/36 - o**4/72 - o**2. Factor h(t).
-t*(t + 1)**3*(2*t + 1)/3
Let f(o) be the third derivative of o**5/270 + 5*o**4/54 + 25*o**3/27 + 21*o**2. Let f(s) = 0. What is s?
-5
Suppose 4*d = 5*s - 3, -3*s + 18 = -2*s + 5*d. Factor 19*h**3 + 3*h**5 + 12*h**4 - s*h**2 - h**3 + 3*h + 15*h**2.
3*h*(h + 1)**4
Let w(o) be the first derivative of 2 - 9/4*o**4 - 3*o**3 - 3/2*o**2 + 0*o - 3/5*o**5. Solve w(i) = 0 for i.
-1, 0
Let l(k) = -k**2 + 3*k - 3. Let c(b) = -b**2 + 2*b - 2. Suppose -2*h = -5*y + 23, 0 = 2*y - h + 2*h - 2. Let z(i) = y*c(i) - 2*l(i). Solve z(a) = 0.
0
Suppose -5*w = -3*l + 5, -5*w = 2*l - 10 - 10. Factor 4*s**4 - 67*s**3 + 16 + 91*s**3 + 42*s**2 + 48*s + 10*s**w.
4*(s + 1)**2*(s + 2)**2
Let n(z) = z**2 - 8*z + 7. Let f be n(7). Factor f*o + 0 - 2/7*o**4 + 2/7*o**3 + 4/7*o**2.
-2*o**2*(o - 2)*(o + 1)/7
Let l(s) be the third derivative of 0*s + 0 - 1/75*s**5 + 2/75*s**6 - 1/5*s**3 - 13/60*s**4 + 2*s**2. Suppose l(u) = 0. Calculate u.
-1, -1/4, 3/2
Let n be (8*1)/(28 - 17). Solve 16/11*y - 6/11*y**2 - n = 0 for y.
2/3, 2
Let v(t) be the first derivative of 2*t**2 + 2/3*t**3 - 2/5*t**5 + 10 - 3/2*t**4 + 0*t + 1/3*t**6. Factor v(d).
2*d*(d - 2)*(d - 1)*(d + 1)**2
Let g(i) = -9*i - 259. Let h be g(-29). Factor 4 - 1/2*j**3 + 2*j**4 - 5*j**h + 2*j - 1/2*j**5.
-(j - 2)**3*(j + 1)**2/2
Let m(c) be the second derivative of -3*c**5/130 + 2*c**4/39 + c**3/3 + 6*c**2/13 - 17*c. Find w, given that m(w) = 0.
-1, -2/3, 3
Let t(r) be the third derivative of r**7/240 + r**6/360 - r**3/6 + 4*r**2. Let p(i) be the first derivative of t(i). Factor p(d).
d**2*(7*d + 2)/2
Let f(c) be the third derivative of -c**7/630 + c**6/120 - c**5/180 - c**4/24 + c**3/9 - 10*c**2. Factor f(b).
-(b - 2)*(b - 1)**2*(b + 1)/3
Suppose -2*k - 5 - 1 = 0. Let l(q) = 6*q**2 + 5*q - 1. Let d(f) = 3*f**2 + 3*f. Let g(u) = k*l(u) + 7*d(u). Factor g(z).
3*(z + 1)**2
Let y be (-1)/2*(-8)/2. Factor -2/5 + 0*p + 2/5*p**y.
2*(p - 1)*(p + 1)/5
What is k in -28/3*k + 12*k**3 + 14/3*k**4 - 8/3*k**5 - 2 - 8/3*k**2 = 0?
-1, -1/4, 1, 3
Let w be (-89)/(-5) - (-1)/5. Suppose -2*r - 22 = -4*q, 0*q - w = -q + 3*r. Let -2*y**5 + y**3 - 2*y**2 + y**q + 0*y**5 + 2*y**4 = 0. Calculate y.
-1, 0, 1
Let r(v) be the third derivative of 0*v**3 + 0*v**4 + 0*v - 7*v**2 + 1/112*v**8 + 1/20*v**5 - 1/40*v**6 + 0 - 1/70*v**7. Let r(d) = 0. Calculate d.
-1, 0, 1
Suppose -2*m - 1 = -7. Solve f - 4*f**2 + 2*f + 2*f**m - f = 0 for f.
0, 1
Let b(m) = 2*m + 26. Let n be b(-13). Let x(u) be the second derivative of 0 + n*u**4 - 2*u + 1/10*u**5 + 0*u**3 + 0*u**2 + 1/15*u**6. Solve x(s) = 0 for s.
-1, 0
Suppose -35 = -4*q - 3*q. Suppose 2*l - q - 1 = -m, 0 = -4*m + 4*l. Factor 2/3*o**m - 4/3 + 2/3*o.
2*(o - 1)*(o + 2)/3
Let o(m) be the second derivative of m**7/63 - m**6/45 - m**5/30 + m**4/18 + 4*m. Factor o(r).
2*r**2*(r - 1)**2*(r + 1)/3
Let m(l) be the third derivative of l**7/315 - l**6/45 + l**5/30 + l**4/9 - 4*l**3/9 + 14*l**2. Find k such that m(k) = 0.
-1, 1, 2
Let v be (20/6)/((-4)/(-6)). Let i(d) be the third derivative of 5*d**4 + 3*d**2 - 5*d**v + 0 + 25/12*d**6 - 8/3*d**3 + 0*d. Let i(l) = 0. Calculate l.
2/5
Let a = -7 - -18. Suppose 2*v = -0*v + 3*i + a, -4*i = -3*v + 16. Solve -4*q**2 - 3*q**2 + q**2 + v*q**2 + 8*q - 8 = 0 for q.
2
Let g(p) be the second derivative of p**5/10 - p**4/2 + 2*p**3/3 + 3*p. Factor g(f).
2*f*(f - 2)*(f - 1)
Let i(m) = m**3 - 5*m**2 + 5*m - 1. Let a be i(4). What is f in -6*f**2 + 2*f**2 - 2*f**a - 2*f**3 = 0?
-1, 0
Suppose -3*p = f - 23, 2*p - 2 = -3*f - f. Suppose -3*v = 2*x - p, -4*x = -v - 1 + 4. Factor 2/7*a + 2/7*a**2 - 2/7*a**v + 0 - 2/7*a**4.
-2*a*(a - 1)*(a + 1)**2/7
Let k = 1045/7 - 149. Let p be (-2)/5 - (-24)/35. Factor k*h + 0 + p*h**3 + 4/7*h**2.
2*h*(h + 1)**2/7
Suppose b - 5*r - 2 = 0, -2*b - 5*r - 57 = -61. Factor -16/9*u + 2/9*u**b + 32/9.
2*(u - 4)**2/9
Let s be 20/(-24)*4/(-10). Factor s + 2/3*u**2 + u.
(u + 1)*(2*u + 1)/3
Let t(s) be the first derivative of s**9/4536 - s**8/1260 + s**6/270 - s**5/180 - 2*s**3/3 - 5. Let h(b) be the third derivative of t(b). Factor h(c).
2*c*(c - 1)**3*(c + 1)/3
Let j(s) be the third derivative of 2*s**7/105 - s**6/3 + 5*s**5/3 + 15*s**2 + 2*s. Factor j(i).
4*i**2*(i - 5)**2
Let m = 29 - 26. Let y = m - 3. Factor 0 - 1/3*g**2 - g**3 + y*g - 1/3*g**5 - g**4.
-g**2*(g + 1)**3/3
Let s(b) be the third derivative of b**6/1080 + b**5/180 - b**4/24 - 2*b**3/3 - 4*b**2. Let v(c) be the first derivative of s(c). Find p, given that v(p) = 0.
-3, 1
Suppose 0 = -3*k + 3*s, -2*k + 4*k - 4*s = 0. Solve 1/2*p + k + 1/2*p**2 = 0 for p.
-1, 0
Let b = -594 - -2952/5. Let s = -17/5 - b. Solve -1/5*l**2 - s*l + 0 = 0 for l.
-1, 0
Let s = 1318218/17675 + -24/2525. Let d = s - 74. Find f such that 2/7*f**2 + d*f + 0 = 0.
-2, 0
Let a be (0 + (-9)/(-7))*98/49. Factor 0*t - 2/7*t**2 - 50/7*t**5 + 0 - 30/7*t**4 + a*t**3.
-2*t**2*(t + 1)*(5*t - 1)**2/7
Let u(r) = 2*r**3 + 3*r**2 - 7*r + 7. Let t(o) = o**3 + 4*o**2 - 6*o + 6. Let i(v) = 7*t(v) - 6*u(v). Suppose i(q) = 0. Calculate q.
0, 2
Let h(d) be the second derivative of -d**5/110 + d**4/33 - d**3/33 - 9*d. Let h(z) = 0. Calculate z.
0, 1
Let o(v) be the third derivative of 1/390*v**5 + 1/2184*v**8 - 1/1365*v**7 + 0 + 6*v**2 - 1/780*v**6 + 0*v**4 + 0*v + 0*v**3. Solve o(r) = 0 for r.
-1, 0, 1
Let l(i) be the first derivative of 4*i**3/9 - 10*i**2/3 - 22. Factor l(g).
4*g*(g - 5)/3
Let g(j) = 7*j**4 + 4*j**3 - 4*j - 7. Let m(c) = 11*c**4 + 6*c**3 - 6*c - 11. Let s = -16 + 11. Let f(x) = s*m(x) + 8*g(x). Factor f(l).
(l - 1)*(l + 1)**3
Let h be (-2 - (-513)/105) + -3. Let y = h + 12/7. Let y*c - 8/5 + 18/5*c**2 - 18/5*c**3 = 0. What is c?
-2/3, 2/3, 1
Let g(h) = -21*h**3 + 14*h**2 + 21*h - 6. Let l(o) = o + 1. Let s be l(-9). Let f(n) = -7*n**3 + 5*n**2 + 7*n - 2. Let p(m) = s*f(m) + 3*g(m). Factor p(a).
-(a - 1)*(a + 1)*(7*a - 2)
Let f(a) be the first derivative of a**4/2 + 4*a**3/3 - a**2 - 4*a - 13. Factor f(r).
2*(r - 1)*(r + 1)*(r + 2)
Let z(c) be the first derivative of -c**7/315 + c**5/30 + c**4/18 + 2*c**2 + 6. Let n(g) be the second derivative of z(g). Find i, given that n(i) = 0.
-1, 0, 2
Suppose -3*l - 1 = -7. Let j(v) = v**4 - 9*v**3 + v**2 - 9*v + 1. Let q(u) = u**3 + u**2 + u. Let o(b) = l*j(b) + 10*q(b). Factor o(n).
2*(n - 1)**4
Let l(d) be the second derivative of -d**2 + 5*d - 1/3*d**3 - 1/24*d**4 + 0. Solve l(v) = 0.
-2
Let p be (-22)/(-3) - 3 - 4. Let l(d) be the third derivative of -p*d**3 + 1/20*d**6 + 1/30*d**5 + 0 + 3*d**2 + 0*d - 1/4*d**4. Factor l(y).
2*(y - 1)*(y + 1)*(3*y + 1)
Factor 0 + 2/11*p**2 + 2/11*p.
2*p*(p + 1)/11
Let n be (-60)/(-15)*(-1)/(-10). Let v(i) be the first derivative of -4*i - 1 - 3/2*i**4 + 2/3*i