ive of z**2 - 4 + l*z**3 + 0*z + 1/2*z**4. Factor q(c).
2*c*(c + 1)**2
Let j = -10300 + 10302. Find s such that 10/7*s + 9/7 + 1/7*s**j = 0.
-9, -1
Let 15/4*l - 1/4*l**3 + 1/2*l**2 - 9 = 0. Calculate l.
-4, 3
Let 16 + 43*k + 263482*k**2 - 64*k**3 - 263470*k**2 + 21*k - 28*k**4 = 0. Calculate k.
-2, -1, -2/7, 1
Let r(x) = x**3 - x**2 + x + 1. Let q(b) = -6*b**3 + 5*b**2 - 15*b - 2. Let a(w) = w**2 + w. Let c(i) = 5*a(i) + q(i). Let m(g) = -c(g) - 4*r(g). Factor m(o).
2*(o - 1)**3
Let s = -337 + 342. Let x(h) be the first derivative of -4/25*h**s + 0*h - 4/5*h**3 + 2/5*h**2 - 6 + 3/5*h**4. Factor x(z).
-4*z*(z - 1)**3/5
Suppose -17*c + 19*c - 4 = 0. Factor 2*s + 384*s**5 + 37*s**3 - 245*s**4 + 131*s**3 - 171*s**4 - 30*s**c.
2*s*(3*s - 1)*(4*s - 1)**3
Let t(o) be the third derivative of -o**5/450 + 19*o**4/180 - 34*o**3/45 + 17*o**2 + 3*o. Determine i, given that t(i) = 0.
2, 17
Let a(l) be the first derivative of -4/5*l**3 + 20 + 16/5*l + 4/5*l**2 - 2/25*l**5 - 1/2*l**4. Factor a(j).
-2*(j - 1)*(j + 2)**3/5
Let a be (3/45)/(102/20). Let w = 932/1071 - a. Solve 0*o**3 + 9/7*o**2 - 3/7*o**4 + 0 - w*o = 0.
-2, 0, 1
Let t(n) = -6*n**3 + 10*n**2 - 2*n. Let h = -25 - -18. Let f(j) = 19*j**3 - 31*j**2 + 7*j. Let i(m) = h*t(m) - 2*f(m). Suppose i(d) = 0. What is d?
0, 2
Suppose 3*m + 4 = -5*r - 0*r, -4*r = 2*m + 4. Let -o**3 - 10*o - 4*o**2 + 6*o - o**3 + m*o = 0. What is o?
-1, 0
Suppose -52/5 - 22/5*b + 2/5*b**2 = 0. What is b?
-2, 13
Let p(i) = i**3 + 12*i**2 - 12*i + 15. Let m be p(-13). Solve -79*f**3 + 15*f**m + 23*f**3 - 4*f + 124*f**4 - 52*f**3 + 21*f**2 - 48*f**5 = 0.
0, 1/4, 1/3, 1
Let c(j) be the second derivative of 1/90*j**5 + 1/9*j**3 + 12*j + 0 - 1/9*j**2 - 1/18*j**4. Solve c(w) = 0.
1
Let l be ((-2)/(-4))/((-15)/2718). Let b = 91 + l. Factor 0*g**2 - b*g**4 + 4/5*g**3 + 0*g + 0.
-2*g**3*(g - 2)/5
Let l be -4*(46/(-35) - (-18)/(-63)). Let i = l - 209/35. Determine c, given that -12/7 + 12/7*c - i*c**2 = 0.
2
Suppose 4*p - 30 = -5*u, 4*p - 2 = 4*u + 10. Suppose -7*b = -p*b - 6. Factor 18*c**2 - 22*c**2 + 2*c**b - 2*c**4 + 4*c**3.
-2*c**2*(c - 2)*(c - 1)
Let -38/3*l**3 - 4/9*l**2 - 106/9*l**5 + 0 - 24*l**4 + 0*l = 0. What is l?
-1, -2/53, 0
Let p(c) be the second derivative of 3*c**5/2 - 235*c**4/12 + 205*c**3/3 + 75*c**2/2 - 200*c. Let p(m) = 0. Calculate m.
-1/6, 3, 5
Let i(w) be the first derivative of -w**6 - 26*w**5/5 - 13*w**4/2 + 6*w**3 + 16*w**2 + 8*w + 49. Determine t, given that i(t) = 0.
-2, -1, -1/3, 1
Suppose -8*n = -4*n - 16. Suppose -107*j + 112*j + 3*w = 24, -3*w = -5*j + 6. Solve -5/3*r**4 + r**j + 4/3*r + 0 + n*r**2 = 0 for r.
-1, -2/5, 0, 2
Find y such that 2*y**2 + y**2 - 82*y + 357*y - 185*y = 0.
-30, 0
Let f(i) be the third derivative of 0*i**4 + 0*i + 1/240*i**5 + 0*i**3 + 6*i**2 + 0 + 1/480*i**6. Let f(x) = 0. What is x?
-1, 0
Let i = -3114/5 + 168157/270. Let n(t) be the third derivative of 0 + 1/108*t**4 + 0*t + t**2 - i*t**5 + 0*t**3. What is j in n(j) = 0?
0, 1
Let u(t) be the third derivative of 0*t**5 + 0 + 0*t**3 - 8*t**2 + 1/420*t**6 + 0*t - 1/84*t**4. Factor u(a).
2*a*(a - 1)*(a + 1)/7
Let x be 0/(((-10)/35)/(4/(-14))). Suppose x = -j - 3, -3*k + 2*j + 21 = 2*k. Factor -2/3*b**4 + 2/3*b + 2/3*b**5 + 4/3*b**2 - 4/3*b**k - 2/3.
2*(b - 1)**3*(b + 1)**2/3
Find y such that 15 + 53*y**2 - 54*y**2 - 10 - 11 + 7*y = 0.
1, 6
Let t be 1025/75 + 4 + -17. Factor -1/3*q - 1/3*q**2 + t.
-(q - 1)*(q + 2)/3
Let n(u) be the second derivative of -24*u**2 + 0 + 7/4*u**4 - 3/20*u**5 - 11*u - 4*u**3. Factor n(y).
-3*(y - 4)**2*(y + 1)
What is n in -5/2*n**3 + 0 + 0*n + 3*n**2 + 1/2*n**4 = 0?
0, 2, 3
Let z(d) = d**3 + 4*d**2 + 3*d - 3. Let h be z(-4). Let v = h + 17. Let 6*n - n**2 + n**2 - 2*n**v = 0. Calculate n.
0, 3
Let w(z) be the second derivative of z**5/90 - z**4/54 - 10*z**3/27 - 8*z**2/9 + 67*z + 1. Factor w(q).
2*(q - 4)*(q + 1)*(q + 2)/9
Let n(s) = -6*s**4 - 18*s**3 - 152*s**2 - 142*s - 98. Let o(k) = k**3 + k - 1. Let v(q) = 2*n(q) - 68*o(q). Find g, given that v(g) = 0.
-4, -2, -2/3
Let w be (4 - 4/1)*1. Let m(c) be the first derivative of 3 - 1/6*c**3 + w*c + 0*c**2. Solve m(g) = 0 for g.
0
Let v(m) be the third derivative of -m**9/120960 - m**8/13440 - m**7/5040 + m**5/12 - m**4/12 + 21*m**2. Let b(f) be the third derivative of v(f). Factor b(a).
-a*(a + 1)*(a + 2)/2
Let g(t) = -2*t**2 + 129*t - 1671. Let h be g(18). Let -2*x - 5/4*x**2 - 1 - 1/4*x**h = 0. What is x?
-2, -1
Let z(n) be the first derivative of -n**3/6 + n**2 - 3*n/2 + 728. Factor z(j).
-(j - 3)*(j - 1)/2
Let w(p) = 2*p**2 - 38*p - 8. Let r be w(20). Suppose 0 = 7*a + 18 - r. Let 0 + 6/11*g**a - 2/11*g - 6/11*g**3 + 2/11*g**4 = 0. Calculate g.
0, 1
Suppose v = -3*g + 32, 4*v - 66 - 30 = -4*g. Let n be (-8)/v - 144/(-210). Solve -n*m**2 + 0 + 4/7*m = 0.
0, 2
Let x(m) be the second derivative of m**4/24 + 17*m**3/6 + 289*m**2/4 + 13*m - 3. Factor x(y).
(y + 17)**2/2
Let k(g) be the first derivative of 5*g**3/3 + 5*g**2 - 240*g + 195. What is l in k(l) = 0?
-8, 6
Let c(q) be the first derivative of 4/3*q**6 + 0*q**2 + 0*q + 3*q**4 + 38 + 2/3*q**3 + 18/5*q**5. Determine u so that c(u) = 0.
-1, -1/4, 0
Let q(s) be the first derivative of s**9/1008 + 3*s**8/560 + 3*s**7/280 + s**6/120 + 4*s**3 - 13. Let p(d) be the third derivative of q(d). Factor p(u).
3*u**2*(u + 1)**3
Let y(l) be the second derivative of l**4/60 + 2*l**3/15 - 48*l + 1. Find q such that y(q) = 0.
-4, 0
Let k = 33511/13990 + 13/2798. What is n in -87/5*n + 21/5 + k*n**2 = 0?
1/4, 7
Let q be (-16256)/(-635)*(-5)/(-6). Suppose 1/3*h**2 + q + 16/3*h = 0. What is h?
-8
Let a(y) = -y**4 + y**2 - y - 1. Let t(z) = -2*z**2 + z - 1. Let b = 21 + -14. Suppose 2*k - 5*p = b, -3*k + 4 = 2*k + p. Let i(g) = k*a(g) - t(g). Factor i(w).
-w*(w - 1)**2*(w + 2)
Let k = 5 + 5. Suppose 3*d = 8*d - k. Factor -4*z + z**d + z**3 - 4*z + 8*z.
z**2*(z + 1)
Factor -20/13*i**3 + 34/13*i**2 - 16/13*i + 2/13*i**4 + 0.
2*i*(i - 8)*(i - 1)**2/13
Let n = -89 - -92. Suppose -3*r = -2*b, 5*r + n*b = 7 + 12. Factor 1/5*h**3 - 1/5*h + 0 + 0*h**r.
h*(h - 1)*(h + 1)/5
Let g(b) = -b. Let y(t) = -2*t**2 + 18*t + 6. Let f(x) = -44*g(x) - 2*y(x). Find l, given that f(l) = 0.
-3, 1
Let v be (-2 - (3 + -2)) + -32. Let a = 38 + v. Factor -8*z**3 + 15*z**a + 5*z**4 - z - 3*z + z**2 - 9*z**2.
z*(z - 1)*(z + 2)*(5*z + 2)
Let i(d) = -5*d**3 + 14*d**2. Let q(p) be the third derivative of p**6/12 - 9*p**5/20 + 26*p**2. Let f(g) = -7*i(g) - 4*q(g). Factor f(c).
-5*c**2*(c - 2)
Let j = 42 - 40. Let 4*n**j + 0*n + 4*n - 16*n = 0. What is n?
0, 3
Let y(d) be the first derivative of -d**5 - 435*d**4/2 - 12615*d**3 + 24. Factor y(m).
-5*m**2*(m + 87)**2
Let m(o) = -o**2 + 7*o + 2. Let b be m(7). Let f(i) be the first derivative of 4/9*i - 3 + 1/9*i**b - 2/27*i**3. Factor f(x).
-2*(x - 2)*(x + 1)/9
Let k(w) = w**2 + 8*w + 18. Let i be k(-9). Factor -2*l**2 - 26*l + 51*l - i*l.
-2*l*(l + 1)
Let p(b) be the third derivative of 18*b**7/35 - 3*b**6/10 + b**5/20 - 3*b**2 + 14*b. Let p(l) = 0. Calculate l.
0, 1/6
Let u = 466/495 + 46/55. Factor -4*z**2 - 4/9*z**4 + u*z + 0 + 8/3*z**3.
-4*z*(z - 4)*(z - 1)**2/9
Let v(w) be the third derivative of w**5/330 - 5*w**4/66 - 56*w**3/33 - w**2 - 82*w. Factor v(g).
2*(g - 14)*(g + 4)/11
Let x(d) = 40*d**2 - 10*d + 15. Let m(c) = 9*c**2 - 3*c + 4. Let r(y) = 18*m(y) - 4*x(y). Find t such that r(t) = 0.
1, 6
Find y such that 6*y**3 - 77*y**3 - 56 + 45*y**5 + 56 + 260*y**4 + 11*y**3 = 0.
-6, 0, 2/9
Let i(k) be the second derivative of k**5/360 - k**4/36 + k**3/9 - 3*k**2/2 + 3*k. Let c(w) be the first derivative of i(w). Determine d so that c(d) = 0.
2
Suppose -53/5*y**2 + 297/5*y**3 - 21*y - 18/5 - 121/5*y**4 = 0. Calculate y.
-3/11, 1, 2
Let f(w) = w**2 + w. Let g(u) be the second derivative of -u**7/42 + u**6/30 + 3*u**5/20 + u**4/3 + u**3/2 - 3*u. Let j(n) = -5*f(n) + g(n). Factor j(m).
-m*(m - 2)*(m - 1)*(m + 1)**2
Let w(c) be the first derivative of -5 + 1/3*c**6 + 0*c + 4/5*c**5 - c**2 + 0*c**4 - 4/3*c**3. Factor w(p).
2*p*(p - 1)*(p + 1)**3
Factor 25/3*u**3 - 35/3*u**2 + 5*u - 5/3*u**4 + 0.
-5*u*(u - 3)*(u - 1)**2/3
Let n be 1/((4/3)/4). Factor n*g**2 - 5*g**2 - 48 + 16 + 15*g + g.
-2*(g - 4)**2
Suppose -280 = -9*n + n. Factor -75 + 31*d**2 - 5*d + n*d - 34*d**2.
-3*(d - 5)**2
Let h(a) = -435*a**4 