+ 0*c + 0*c**3 - 2*c**2 + 1/420*c**6. Suppose l(t) = 0. Calculate t.
-1, 0, 2
Let s be -2 + 2 + (-3)/(-7). Let g = s + -2/21. Determine d so that 0 - g*d - 1/3*d**2 = 0.
-1, 0
Let y(k) be the first derivative of -k**5/70 - k**4/21 - k**3/21 + k - 2. Let m(v) be the first derivative of y(v). Solve m(w) = 0 for w.
-1, 0
Let p(g) = g**3 - 5*g**2 + 6*g - 4. Let m be p(4). Let t be m/10*(-10)/(-6). Factor -2/3*x + 2/3 - 4/3*x**2 + 4/3*x**3 + 2/3*x**4 - t*x**5.
-2*(x - 1)**3*(x + 1)**2/3
Let b be (-8)/32*(0 + -5). Let -1/4*m**3 + b*m**2 - 3/4*m**4 - 1/2 + 1/4*m = 0. What is m?
-1, 2/3, 1
Let n(j) be the first derivative of -3*j**5/20 + 9*j**4/16 - 3*j**3/4 + 3*j**2/8 + 25. Factor n(h).
-3*h*(h - 1)**3/4
Let u = -1 + 10. Let c be -2 + u - (3 + -1). Factor 0*b**c + 2*b**4 - b**3 - 4*b**4 - b**5.
-b**3*(b + 1)**2
Suppose 2*u = 8 - 4. Let h(x) be the second derivative of -u*x + 1/6*x**4 + x**2 + 2/3*x**3 + 0. Factor h(f).
2*(f + 1)**2
Let t be 1893*(-5)/(-3150) + -3. Let p(l) be the third derivative of 0*l**4 + 0*l**5 + l**2 + 0*l + 1/120*l**6 + 0*l**3 + t*l**7 + 0. Factor p(r).
r**3*(r + 1)
Let b(g) be the second derivative of 22/3*g**3 + 0 + 121/12*g**4 + 2*g + 2*g**2. Factor b(f).
(11*f + 2)**2
Let h(b) be the second derivative of -7*b**5/150 - b**4/10 - 2*b**3/45 + 9*b. Find u, given that h(u) = 0.
-1, -2/7, 0
Let c(b) = 2*b + 34. Let q be c(-13). Solve 2/3 - 62/3*o**3 - 6*o + q*o**4 + 18*o**2 = 0.
1/4, 1/3, 1
Suppose 4*g + g - 2*y = -11, 0 = y + 2. Let s be 1/(39/6 + g). Suppose -4/7 + 16/7*j**2 + 10/7*j**3 + s*j = 0. What is j?
-1, 2/5
Suppose -20 = -6*a + 2*a. Factor -2*f**5 - 2*f**5 + 2*f**5 + f**a.
-f**5
Let q = -19 - -33. Let 13*l**3 + 4*l + 25*l**4 + q*l**2 - 10*l**3 + 42*l**3 + 10*l**2 = 0. Calculate l.
-1, -2/5, 0
Determine q so that 0 - 39/8*q**2 + 9/8*q + 3/2*q**3 = 0.
0, 1/4, 3
Suppose -15 = -8*h + 5*h. Let z(a) = a - 3. Let j be z(h). Suppose 5/2*b**j - 3/2*b - 1 = 0. Calculate b.
-2/5, 1
Let f(c) be the third derivative of c**7/280 - c**5/40 + c**3/8 - 2*c**2. What is k in f(k) = 0?
-1, 1
Let h(q) be the third derivative of q**9/90720 - q**8/15120 + q**7/7560 - q**5/60 + 3*q**2. Let o(x) be the third derivative of h(x). Solve o(t) = 0 for t.
0, 1
Factor -2/11*s**2 - 10/11*s + 0.
-2*s*(s + 5)/11
Suppose 12 = -a + 2*i, 2*i + 12 = 5*i. Let z be (-14)/18 + 5 + a. Factor 4/9*u**2 - 2/9 + 0*u + 0*u**3 - z*u**4.
-2*(u - 1)**2*(u + 1)**2/9
Let r(q) = q**2 + q. Let z be r(-2). Let a be z/4*(-4)/(-3). Factor 0*n**2 + 0 - a*n + 2/3*n**3.
2*n*(n - 1)*(n + 1)/3
Let c = -1288/5 - -258. Suppose 2/5*y**2 - c*y + 0 = 0. Calculate y.
0, 1
Suppose -4*r = 5*w - 40, -36 = 2*w - 6*w - 4*r. Suppose 0 = -4*o - 3*m + 12, -w*m + 15 = 3*o - 1. Factor o*v - 1/4*v**4 + 1/4*v**3 + 0*v**2 + 0.
-v**3*(v - 1)/4
Let p = 124/385 - 2/55. Let -4/7*b**3 + 2/7*b**4 + 0*b**2 - p + 4/7*b = 0. What is b?
-1, 1
Let y(a) be the third derivative of a**8/420 + 2*a**7/525 - a**6/150 - a**5/75 + 9*a**2. Solve y(s) = 0.
-1, 0, 1
Let t be (-6)/9 - 48/(-18). Let i(w) be the second derivative of -1/6*w**2 - 1/30*w**5 + 1/9*w**3 + 1/90*w**6 + 0 + 0*w**4 + t*w. Factor i(a).
(a - 1)**3*(a + 1)/3
Let j be 5/(-60)*-4 + -3 + 4. Factor -4/3*x + 0 + j*x**2.
4*x*(x - 1)/3
Suppose 9*c - 21 = 2*c. Let x(b) = -b + 8. Let q be x(6). Factor 2 - k**2 - c*k**q - 2*k**2 + 3*k + k**2.
-(k - 1)*(5*k + 2)
Let c be 68/7 + 6/21. Let a = c - 7. Factor 1/4 - 1/2*r**a + 1/4*r**5 + 1/4*r**4 + 1/4*r - 1/2*r**2.
(r - 1)**2*(r + 1)**3/4
Find s such that 10*s**4 + 40*s + 72*s**3 - 16 - 44*s**3 - 62*s**3 + 12*s**2 = 0.
-1, 2/5, 2
Let a(v) be the third derivative of v**7/2268 + v**6/1080 - v**5/270 + v**4/4 + v**2. Let m(r) be the second derivative of a(r). What is l in m(l) = 0?
-1, 2/5
Let v = -108 - -48. Let d be ((-185)/v + -3)*4. Solve 1/3*b**2 + 0 + d*b = 0 for b.
-1, 0
Let t be 4 + (2 - 2) + -2. Find f such that 0*f**3 - t*f**3 + 0*f**4 + 0*f**4 + 2*f**4 = 0.
0, 1
Let q = 1535/3 + -511. Find a such that -q*a**2 + 0 + 2/3*a**4 - 2/3*a + 2/3*a**3 = 0.
-1, 0, 1
Let j(a) = -7*a**3 - 30*a**2 - 45*a. Let s(p) = 8*p**3 + 30*p**2 + 45*p. Let m(n) = -3*j(n) - 2*s(n). Factor m(d).
5*d*(d + 3)**2
Let a(h) = -3*h**2 - 26*h + 3*h**2 - 4*h**2 + h**3 + 22*h - 3. Let t be a(5). Find v such that 1/2*v**t + 0 + 1/2*v = 0.
-1, 0
Let v(w) be the third derivative of w**8/28 - w**7/14 - 7*w**6/40 + w**5/10 + 4*w**2. Solve v(n) = 0 for n.
-1, 0, 1/4, 2
Let u(w) = w**3 + 10*w**2 - w - 10. Let b(s) = 4*s + 2. Let r be b(-3). Let p be u(r). Factor p + 3/5*q**2 + 2/5*q + 1/5*q**3.
q*(q + 1)*(q + 2)/5
Let u(i) be the first derivative of 2*i**3/39 - 9*i**2/13 - 37. Factor u(v).
2*v*(v - 9)/13
Determine c, given that -805 - 5*c**2 - 5*c + 805 = 0.
-1, 0
Suppose -7*t + 805 = -0*t. Let l be 8/2 - t/30. Factor l*u - 1/2*u**2 + 2/3*u**4 + 0 + 0*u**3.
u*(u + 1)*(2*u - 1)**2/6
Factor 15/7*u - 3/7*u**2 - 9/7 - 3/7*u**3.
-3*(u - 1)**2*(u + 3)/7
Let v = 5/9 + -1/18. Let 0*q - v*q**2 + 0 = 0. Calculate q.
0
Let t(f) be the third derivative of f**6/8 - f**5/10 + 7*f**2. Factor t(i).
3*i**2*(5*i - 2)
Let t be ((-3)/2)/(2*-1 - 4). Factor 1/4*z**4 - t*z**2 + 0 + 1/4*z**3 - 1/4*z.
z*(z - 1)*(z + 1)**2/4
Let p(a) be the second derivative of -a**7/42 + 11*a**6/75 - 19*a**5/50 + 8*a**4/15 - 13*a**3/30 + a**2/5 + 14*a. Solve p(r) = 0 for r.
2/5, 1
Suppose -42 + 45 = v. Let x(y) be the second derivative of 1/18*y**4 - y + 0*y**v + 0 + 0*y**2. Factor x(o).
2*o**2/3
Let f(g) be the third derivative of g**8/112 - 3*g**7/70 + g**6/20 - 3*g**2. What is v in f(v) = 0?
0, 1, 2
Factor 4 + 2*o**2 - 3*o - 2 + 7*o.
2*(o + 1)**2
Let x(k) be the first derivative of -k**6/21 + 4*k**5/35 - 4*k**3/21 + k**2/7 + 3. Solve x(m) = 0.
-1, 0, 1
Let k(d) be the second derivative of d**6/480 - d**5/240 - d**4/96 + d**3/24 + 2*d**2 + 6*d. Let q(l) be the first derivative of k(l). Factor q(t).
(t - 1)**2*(t + 1)/4
Let l(a) = a**2 + 4*a + 3. Let s be l(-4). Let d be s + -2*(-1)/2. Determine r, given that 2*r**4 - 2*r**4 - 2*r**d + 2*r**3 = 0.
0, 1
Let m(r) be the first derivative of r**9/672 - r**8/160 + r**7/105 - r**6/180 + 4*r**3/3 + 3. Let n(h) be the third derivative of m(h). What is o in n(o) = 0?
0, 2/3, 1
Let j be (2/5)/((-5)/(-150)). Suppose -h + 5*h - j = 0. Suppose 2/7*q**h - 2/7*q**2 - 2/7*q + 2/7 = 0. What is q?
-1, 1
Let f(n) be the third derivative of -n**6/120 + n**5/5 - 2*n**4 + 32*n**3/3 + 26*n**2. Factor f(d).
-(d - 4)**3
Let r(g) be the second derivative of g**6/360 + g**5/120 - 2*g**3/3 - g. Let d(j) be the second derivative of r(j). Factor d(z).
z*(z + 1)
Let i(r) be the first derivative of 1/5*r**5 - 1/3*r**3 + 0*r + 1 + 0*r**2 - 1/4*r**4 + 1/6*r**6. Solve i(w) = 0 for w.
-1, 0, 1
Determine p so that -p**3 - 4*p + 0*p**3 + 3*p**3 + 6*p**3 - 4*p**5 = 0.
-1, 0, 1
Let w be -1 + 0 - (-6 - (-5 - -2)). Let -2/3*t**w + 0 + 1/3*t**3 - t = 0. What is t?
-1, 0, 3
Let j be 6/(-24) - (-2)/8. Let n(t) = -t**3 - t**2 + 3. Let f be n(j). Factor -s**3 + 3*s**f + s**4 + 3*s**5 - 5*s**4 - s**5.
2*s**3*(s - 1)**2
Solve 2/17*x**3 - 2/17*x - 8/17 + 8/17*x**2 = 0 for x.
-4, -1, 1
Let r(h) be the third derivative of -h**6/24 + h**5/6 - 15*h**2. Suppose r(p) = 0. Calculate p.
0, 2
Let s(m) be the second derivative of m**10/75600 - m**8/8400 + m**6/1800 - m**4/2 + 6*m. Let w(h) be the third derivative of s(h). Factor w(g).
2*g*(g - 1)**2*(g + 1)**2/5
Let z(x) = 5*x + 17. Let i be z(-3). Find n such that -4/7*n + 0 + 2/7*n**i + 2/7*n**3 = 0.
-2, 0, 1
Suppose -19 = -v - 17. Factor 16/9*z - 32/9*z**v - 2/9.
-2*(4*z - 1)**2/9
Let x(a) be the second derivative of a**7/126 - a**5/10 - 2*a**4/9 - a**3/6 - 4*a. Factor x(c).
c*(c - 3)*(c + 1)**3/3
Let a(p) = -p - 13. Let s be a(8). Let g be -6*1/s*1. Let -6/7 - g*n**2 - 8/7*n = 0. Calculate n.
-3, -1
Let g(n) = 8*n**2 + 10*n + 2. Let c(o) = -7*o**2 - 9*o - 2. Let x(j) = -6*c(j) - 5*g(j). What is b in x(b) = 0?
-1
Let h = -139 - -200. Let g = h + -303/5. Factor 6/5*v**2 + 6/5*v + 2/5*v**3 + g.
2*(v + 1)**3/5
Let c(s) be the third derivative of 1/108*s**4 + 0 - 1/270*s**5 - 5*s**2 + 0*s + 0*s**3. Factor c(y).
-2*y*(y - 1)/9
Suppose -19*c = 43*c - 310. Suppose -1/2*a**c - 2*a**4 + 2*a - 3/2*a**3 + 0 + 2*a**2 = 0. Calculate a.
-2, -1, 0, 1
Let b(q) be the first derivative of -16*q**6/27 - 16*q**5/3 - 217*q**4/18 - 58*q**3/9 - 10*q**2/9 + 1. Solve