**5 + 7*t**2 - 2 + 0*t**3 + 2*t**f + t**2 - 2*t**4 - t = 0. Calculate t.
-2, -1, 1
Let a(s) be the first derivative of -s**4/10 + 64*s**3/15 + 7*s**2 - 132*s/5 + 23. Factor a(v).
-2*(v - 33)*(v - 1)*(v + 2)/5
Factor -7*f - 2*f + 75*f**2 - 651*f**3 + 121*f**4 + 464*f**3.
f*(f - 1)*(11*f - 3)**2
Let d(j) = j**3 - j**2 - j. Suppose -2*b - 6 = -0*b. Let f be b/6 + 3/(-6). Let a(w) = 5*w**3 - 4*w**2 - 5*w. Let h(u) = f*a(u) + 4*d(u). Factor h(z).
-z*(z - 1)*(z + 1)
Let l(h) be the first derivative of -h**4/5 + 4*h**3/3 + 8*h**2/5 - 16*h + 604. What is p in l(p) = 0?
-2, 2, 5
Let f be (-15 - -13)/(142/(-6)). Let g = 172/355 - f. Factor 8/15*a + 2/15 + g*a**2.
2*(a + 1)*(3*a + 1)/15
Let c be (-12 + (-392)/(-35))*2/(-12). Determine d, given that -4/15*d**2 + 2/15 + 0*d**3 + 0*d + c*d**4 = 0.
-1, 1
Let q(t) be the third derivative of t**8/336 - t**6/18 - t**3 + 4*t**2 - 8*t. Let g(v) be the first derivative of q(v). Let g(k) = 0. What is k?
-2, 0, 2
Suppose -i + 8 = r, 7*r = 2*i + 6*r - 28. Factor -16 - 16*x - 11*x - 14*x + i*x**3 + 20*x**2 + 25*x.
4*(x - 1)*(x + 2)*(3*x + 2)
Let p(y) be the second derivative of -5*y**7/252 + 2*y**6/3 - 9*y**5 + 60*y**4 - 180*y**3 - 41*y + 1. Factor p(w).
-5*w*(w - 6)**4/6
Let v(j) be the first derivative of -j**2/2 + 8*j + 26. Let l be v(6). Factor 2/3*g - 1/3 - 1/3*g**l.
-(g - 1)**2/3
Find x, given that -343/10 + 1/10*x**3 + 147/10*x - 21/10*x**2 = 0.
7
Suppose 0 = -v - 5*f - 1, 2*f + 18 = 4*v - 0*f. Let c be (-4 + 8/v)*10/(-45). Factor 2/9*x - 2/9*x**3 - 4/9*x**2 + c.
-2*(x - 1)*(x + 1)*(x + 2)/9
Let a(c) be the second derivative of c**6/40 - 11*c**5/20 + 19*c**4/8 - 9*c**3/2 + 11*c**2 + 16*c. Let w(m) be the first derivative of a(m). Factor w(o).
3*(o - 9)*(o - 1)**2
Let v(j) be the third derivative of -j**8/1176 - j**7/105 - j**6/105 + 2*j**5/35 + 814*j**2. Find o, given that v(o) = 0.
-6, -2, 0, 1
Let d be (-1)/(-2)*(3 + 1). Factor 43 - 3*x**3 - d*x**2 - 43 - x**4.
-x**2*(x + 1)*(x + 2)
Let g(p) be the third derivative of 5*p**2 + 0*p + 0*p**4 + 0 - 5/6*p**3 - 1/210*p**5 - 1/1260*p**6. Let l(n) be the first derivative of g(n). Factor l(b).
-2*b*(b + 2)/7
Let o = 49 + 23. Factor o*t - t**4 + t**5 - 72*t.
t**4*(t - 1)
Let u = 1177/12 + -280/3. Determine n so that 7/2*n**3 - u*n**2 + n + 1 - 3/4*n**4 = 0.
-1/3, 1, 2
Let q(h) be the second derivative of 3*h**5/20 - 15*h**4/4 - h**3/2 + 45*h**2/2 + 53*h + 3. Solve q(x) = 0.
-1, 1, 15
Let v(c) be the third derivative of -c**6/540 - c**5/30 + c**4/9 + 20*c**3/27 + 109*c**2. Determine l, given that v(l) = 0.
-10, -1, 2
Let l(w) be the third derivative of w**7/280 + w**6/120 - w**5/40 - w**4/8 + w**3/6 + 3*w**2. Let h(d) be the first derivative of l(d). Factor h(i).
3*(i - 1)*(i + 1)**2
Let g(k) = -k**3 + 26*k**2 - 25*k + 3. Let y be g(25). Let a(c) be the first derivative of -2*c + 1 + 10/3*c**y + 4*c**2. What is x in a(x) = 0?
-1, 1/5
Let h(p) be the third derivative of p**5/20 + 11*p**4/32 + 3*p**3/4 - 5*p**2. Suppose h(t) = 0. Calculate t.
-2, -3/4
Let l(b) be the first derivative of 3*b - 15 - 15/2*b**4 + 3*b**5 - 1/2*b**6 + 10*b**3 - 15/2*b**2. Factor l(i).
-3*(i - 1)**5
Let g(p) = 3 - 1 + 4*p**3 + p**2 - 3*p**3 + 2*p. Let m be g(0). Factor -10*x**m + 11*x**2 + 2 - 3*x**2.
-2*(x - 1)*(x + 1)
Let k(a) be the first derivative of -a**6/1800 + a**4/120 + 2*a**3/3 + 25. Let i(z) be the third derivative of k(z). Let i(x) = 0. Calculate x.
-1, 1
Let h(o) be the second derivative of -o**6/105 - o**5/10 + 4*o**4/21 + 68*o. Solve h(g) = 0.
-8, 0, 1
Let t(x) be the third derivative of x**5/60 + x**4/12 - x**3/6 + 3*x**2. Let y be t(1). Suppose -3*n**2 - y*n - 1 + 6*n**2 + 1 = 0. Calculate n.
0, 2/3
Suppose -12 = -6*t + 2*t - 2*i, 3*i = 0. Solve 217*g + 5*g**t - g**2 - 237*g - 14*g**2 = 0 for g.
-1, 0, 4
Let k(j) = -35*j**3 - 623*j**2 + 234*j + 424. Let w(g) = -12*g**3 - 207*g**2 + 78*g + 141. Let s(a) = 3*k(a) - 8*w(a). Find z such that s(z) = 0.
-24, -2/3, 1
Let x(s) be the third derivative of s**7/70 + 3*s**6/40 + s**5/10 + s**2 + 72. Factor x(y).
3*y**2*(y + 1)*(y + 2)
Let i be 24/(-4)*(-6)/(-4). Let j = 13 + i. Factor -8*u**4 + 231*u**3 + 7*u - 55*u**2 - 41*u**2 + 5*u - 139*u**j.
-3*u*(u - 1)*(7*u - 2)**2
Let c be (-6)/(-4)*(4 + -2). Suppose -c = -i, b - 2*i = 4*b - 15. Let -6/7*u**b + 0 - 2/7*u**2 - 2/7*u**5 - 6/7*u**4 + 0*u = 0. Calculate u.
-1, 0
Suppose 0 = -h + 3*v - 1, 2*h - 15*v = -11*v. Let g(w) be the third derivative of 8*w**h + 0 - 2/3*w**4 + 8/3*w**3 + 1/15*w**5 + 0*w. Factor g(k).
4*(k - 2)**2
Let c(s) be the first derivative of s**3/33 - 19*s**2/22 - 20*s/11 + 161. Solve c(o) = 0.
-1, 20
Let w(m) be the first derivative of -m**6/810 - m**5/135 + m**4/18 - 8*m**3/3 + 24. Let g(v) be the third derivative of w(v). Solve g(k) = 0.
-3, 1
Let h(k) be the third derivative of 5/3*k**4 - k - 50/3*k**3 + 0 - 1/15*k**5 - 7*k**2. Find j such that h(j) = 0.
5
Let -535*a - 552*a**4 + 448 + 0*a**5 + 4*a**5 + 23*a + 64*a**2 + 508*a**4 + 112*a**3 = 0. Calculate a.
-2, 2, 7
Let r(y) = -3*y**2 - 54*y - 680. Let i(m) = 25*m**2 + 433*m + 5442. Let f(a) = 6*i(a) + 51*r(a). Factor f(u).
-3*(u + 26)**2
Suppose -2*j + 4*l = 0, -3*j = -0*j + l - 7. Let r be 1/j*(1 - -3). Factor 2/3*w**3 - 4/3*w + 2/3*w**5 - 5/3*w**4 + 4/3*w**r + 1/3.
(w - 1)**3*(w + 1)*(2*w - 1)/3
Factor -5*n - n**2 - 4*n**3 + 17*n + 3*n**2 - 8*n - 2*n**4.
-2*n*(n - 1)*(n + 1)*(n + 2)
Let z(c) = c**2 - 11*c + 12. Let o be z(10). Suppose 2*f = f + o. Factor -5*q**4 - 2*q**5 + q**2 - 4*q**2 - 4*q**3 + 0*q**f + 2*q**2.
-q**2*(q + 1)**2*(2*q + 1)
Let q(h) = h**2 + 159*h - 5449. Let s be q(29). Factor 2*y**2 + 0 + 2/3*y**s + 4/3*y.
2*y*(y + 1)*(y + 2)/3
Let u = -2 - -6. Suppose 12 = 5*l + 3*b, 3*b = -2*l + u + 8. Solve -2*f**4 + 0*f**3 - f**5 - f**3 + 0*f**4 + l*f**4 = 0.
-1, 0
Let f(u) be the third derivative of -u**9/4536 + u**8/1680 - u**7/2520 - 35*u**3/6 + 15*u**2. Let v(y) be the first derivative of f(y). Factor v(g).
-g**3*(g - 1)*(2*g - 1)/3
Find s, given that 20/3*s + 2/3*s**2 + 32/3 = 0.
-8, -2
Let i be -1 + 51/9 + 4/(-2). Factor 0 - 2/9*f**4 - i*f**2 + 16/9*f + 4/3*f**3.
-2*f*(f - 2)**3/9
Let w(c) be the second derivative of 9*c**5/10 + 7*c**4/6 - 20*c**3/3 + 4*c**2 - 2*c - 44. Suppose w(g) = 0. What is g?
-2, 2/9, 1
Let l(g) be the first derivative of 2*g**5/13 - 6*g**4/13 + 8*g**3/39 + 234. Find c such that l(c) = 0.
0, 2/5, 2
Let g(o) be the second derivative of -o**9/10080 + o**8/2240 - o**7/1680 + 7*o**4/12 + 6*o. Let v(s) be the third derivative of g(s). Factor v(j).
-3*j**2*(j - 1)**2/2
Let m(n) be the third derivative of 0*n**6 + 9*n**2 + 0*n**3 + 1/70*n**7 - 1/15*n**5 + 0*n**4 - 1/336*n**8 + 0 + 0*n. Solve m(p) = 0 for p.
-1, 0, 2
Let n(b) be the third derivative of -b**7/735 - b**6/210 + 4*b**5/105 + 217*b**2. Factor n(a).
-2*a**2*(a - 2)*(a + 4)/7
Let r = 324 - 321. Let f(l) be the first derivative of 0*l - 2 + 0*l**r - 1/20*l**5 + 0*l**2 + 1/16*l**4. Find u, given that f(u) = 0.
0, 1
Let j(b) be the first derivative of b**3/3 + 7*b**2/2 - 628. Let j(p) = 0. What is p?
-7, 0
Let q(d) be the second derivative of 1/2*d**3 - 1/8*d**4 + 9/4*d**2 - 2*d + 0. Factor q(k).
-3*(k - 3)*(k + 1)/2
Let m(g) = -2*g**5 + 7*g**4 - 20*g**3 + 7*g. Let l be 1*-4*(8 + 156/(-16)). Let s(i) = i**5 - 6*i**4 + 20*i**3 - 6*i. Let c(t) = l*s(t) + 6*m(t). Factor c(u).
-5*u**3*(u - 2)*(u + 2)
Let g(s) be the third derivative of s**8/336 - s**7/168 + 2*s**3/3 - 8*s**2. Let p(a) be the first derivative of g(a). Factor p(i).
5*i**3*(i - 1)
Let l(k) = 24*k + 32. Let c be l(-5). Let b be (-43)/(-55) - (-16)/c. Factor 6/5*a**3 + 0*a + 3/5*a**2 + b*a**4 + 0.
3*a**2*(a + 1)**2/5
Find i such that -39 - 33*i + 1 - 5*i - 30 + 41*i**2 + 2*i**3 - 9*i**2 = 0.
-17, -1, 2
Let v(u) be the first derivative of 5*u**4/8 - 35*u**3/2 + 495*u**2/4 - 675*u/2 + 148. Determine y, given that v(y) = 0.
3, 15
Let a(f) = -12*f**4 + 3*f**3 + 93*f**2 - 132*f + 48. Let y(g) = -3*g**4 + g**3 + 23*g**2 - 33*g + 12. Let p(s) = 4*a(s) - 15*y(s). Solve p(q) = 0 for q.
-4, 1
Let b = 834 + -2497/3. Let f(u) be the first derivative of -b*u**3 + 7 - u**2 + 0*u - 1/2*u**4. Factor f(y).
-y*(y + 2)*(2*y + 1)
Let c(r) be the first derivative of r**3/12 - 19*r**2/8 + 22*r + 675. Factor c(t).
(t - 11)*(t - 8)/4
Let k be 8/(-12)*2*1/(-156). Let b = 929/819 + k. Factor 6/7