 2)**2/2
Suppose 0 = -837*f + 832*f + 25. Let l(y) be the third derivative of 0*y**3 + 0*y + 1/120*y**f + 0 - 1/48*y**4 + 6*y**2. Factor l(s).
s*(s - 1)/2
Let v(b) be the second derivative of -b**6/150 + b**5/50 + b**4/5 - 3*b**3/5 - 27*b**2/10 - 20*b + 5. What is d in v(d) = 0?
-3, -1, 3
Let w(t) be the first derivative of 1/42*t**6 - 1/14*t**2 - 10 + 2/35*t**5 + 0*t - 2/21*t**3 + 0*t**4. Factor w(q).
q*(q - 1)*(q + 1)**3/7
Let d be 196/(-56) - 6/(-4). Let b be -1 - (4/(-4) + d). Factor -13*z**2 - b*z**3 + 13*z**2.
-2*z**3
Factor -720*z**2 + 2*z**4 - 232*z**3 + 6912*z + 27648 + 2*z**5 + 12*z**4 - 5*z**4 - 5*z**4.
2*(z - 8)**2*(z + 6)**3
Let h = 27/11 - 43/22. Let z(s) be the first derivative of 1/5*s + 4/15*s**3 + 4 - h*s**2. Solve z(k) = 0.
1/4, 1
Let a(c) be the first derivative of -2/5*c**5 + 4*c**2 - 20 - c**4 + 2*c**3 - 8*c. Factor a(b).
-2*(b - 1)**2*(b + 2)**2
Let z = 1848 + -20326/11. Factor -2/11 + z*n**2 + 0*n.
2*(n - 1)*(n + 1)/11
Suppose 0 = -2*f - 56 + 44. Let k be (-20)/f - 8/6. Factor -4*n + 0*n - n**3 + 8*n**k - 3*n**3.
-4*n*(n - 1)**2
Let g(t) be the second derivative of 0 + 3/70*t**5 + 4/7*t**2 + 13/42*t**4 + 16/21*t**3 + 9*t. Let g(j) = 0. Calculate j.
-2, -1/3
Let q(s) be the second derivative of s**7/28 - 17*s**6/40 + 3*s**5/2 - s**4 - 11*s. Factor q(t).
3*t**2*(t - 4)**2*(2*t - 1)/4
Let u(v) be the third derivative of 0*v + 11*v**2 + 1/1176*v**8 - 1/42*v**5 + 1/735*v**7 + 0 - 1/140*v**6 - 1/42*v**4 + 0*v**3. Factor u(s).
2*s*(s - 2)*(s + 1)**3/7
Let k(x) = -7*x**2 + 5*x - 5. Let p = 7 - 4. Let o(b) = 4*b**2 - 3*b + 3. Let a(g) = p*k(g) + 5*o(g). Factor a(u).
-u**2
Factor u**3 + 18*u - u**2 - 147 + 0*u**3 - 11*u + 12*u**2.
(u - 3)*(u + 7)**2
Factor 2/5*c**2 - 14/5*c - 88/5.
2*(c - 11)*(c + 4)/5
Suppose 2*g = -0*g + 6. Suppose 4*w - g*f = 32, -2*f = 4*w - 5*w + 13. Factor -3*i**3 - i**w + 0*i**3 - 2*i**4 + 2*i**3.
-i**3*(i + 1)**2
Factor -17161/9 + 262/9*h - 1/9*h**2.
-(h - 131)**2/9
Let z(m) be the second derivative of -7/4*m**4 + 0 + 1/14*m**7 + 15*m + m**3 + 0*m**2 - 1/2*m**6 + 27/20*m**5. What is w in z(w) = 0?
0, 1, 2
Let p(l) be the third derivative of -15*l**2 + 0 + 1/27*l**3 + 0*l + 1/45*l**5 + 1/216*l**6 + 1/24*l**4. Factor p(w).
(w + 1)**2*(5*w + 2)/9
Let x(a) be the third derivative of 1/5*a**5 + 1/6*a**4 + 0 - 2*a**3 + 0*a - 1/30*a**6 + 17*a**2. Factor x(c).
-4*(c - 3)*(c - 1)*(c + 1)
Let t(d) be the second derivative of d**6/270 + d**5/135 - d**4/27 - d**2/2 + 17*d. Let n(u) be the first derivative of t(u). Factor n(j).
4*j*(j - 1)*(j + 2)/9
Let q(x) be the second derivative of x**4/4 - 13*x**3/2 + 3*x**2/2 + 82*x. Let b be q(13). Solve 0*g + 1/2*g**b + 0 - 3/2*g**2 = 0 for g.
0, 3
Factor -3/4*p**3 + 3*p**2 - 735/2 + 273/4*p.
-3*(p - 7)**2*(p + 10)/4
Solve -43*o - 33*o - 3364*o**2 - 35*o + 116*o**3 + 111*o - o**4 = 0 for o.
0, 58
Let s(w) be the third derivative of w**8/84 + 2*w**7/105 - 31*w**6/30 + 71*w**5/15 - 7*w**4 + 637*w**2. Suppose s(t) = 0. What is t?
-7, 0, 1, 2, 3
Let r be 1008/(-6) - (-2)/2. Let m = -165 - r. Determine g so that -2/13*g**m + 2/13*g + 0 = 0.
0, 1
Let n(t) be the first derivative of t**4/2 - 20*t**3/3 + 16*t**2 - 216. Find f, given that n(f) = 0.
0, 2, 8
Suppose 2 = -2*g + 12. Factor 13*d**5 + d**2 + 8*d**g - 57*d**4 - 6*d - 4*d**2 + 45*d**3.
3*d*(d - 1)**3*(7*d + 2)
Let p be (-1)/(-4) + ((-12)/(-16) - -1). Find y such that -28*y**2 - 36*y**p - 4*y + 62*y**2 = 0.
-2, 0
Let l = 693 - 693. Factor l*t - 2/3 + 2/3*t**2.
2*(t - 1)*(t + 1)/3
Let q(f) be the second derivative of -3*f**5/50 + f**4/30 + 2*f**3/15 - 3*f + 6. Determine c so that q(c) = 0.
-2/3, 0, 1
Let t(q) be the third derivative of q**9/272160 + q**8/30240 + q**5/15 - 8*q**2. Let f(z) be the third derivative of t(z). Factor f(m).
2*m**2*(m + 3)/9
Suppose 0 = 4*p + 41 - 17. Let o be (-1)/10*(p + 1). Factor -o*a + 7/2*a**3 + 2*a**4 + a**2 + 0.
a*(a + 1)**2*(4*a - 1)/2
Let z(y) be the second derivative of y**7/126 - 2*y**5/15 - y**4/6 + 7*y**3/18 + y**2 + 3*y + 5. Solve z(w) = 0 for w.
-2, -1, 1, 3
Let n = 91 + -453/5. Let 2/5*f**4 - n*f**2 + 2/5*f**3 + 0 - 2/5*f = 0. What is f?
-1, 0, 1
Let w = 79 - 79. Suppose w*r = -5*r + 10. Solve 16/5 + 16/5*c + 4/5*c**r = 0 for c.
-2
Suppose 3*k = -6 - 6. Let z(j) = 6*j**2 - 30*j - 29. Let v(r) = -r**2 + 6*r + 6. Let n(f) = k*z(f) - 22*v(f). Suppose n(g) = 0. What is g?
-4, -2
Let g(u) be the first derivative of -u**5/5 + u**4/4 + 4*u**3/3 - 2*u**2 - 95. Let g(i) = 0. Calculate i.
-2, 0, 1, 2
Suppose 183*y - 9 = 180*y. Let i(s) be the second derivative of 0*s**2 + 1/105*s**7 + 0*s**5 - 6*s + 0*s**4 + 0 + 1/75*s**6 + 0*s**y. Let i(k) = 0. Calculate k.
-1, 0
Let c(g) be the first derivative of g**5/40 - 5*g**4/16 + g**3 - 11*g**2/8 + 7*g/8 + 498. Determine i, given that c(i) = 0.
1, 7
Let z(w) be the third derivative of 1/30*w**5 - 1/630*w**7 + 1/9*w**4 + 11*w**2 + 0 + 1/6*w**3 + 0*w**6 + 0*w. Factor z(b).
-(b - 3)*(b + 1)**3/3
Suppose 2*r + 2 = 2*d, -3*d + d + 4*r = 0. Solve 11*o - 3*o + o**3 - 6 + 6 - 9*o**d = 0 for o.
0, 1, 8
Let f be 1/4*(57 - 29). Let r(j) be the first derivative of -f + 1/5*j**5 + 0*j + 0*j**4 + 0*j**2 - 1/3*j**3. Solve r(h) = 0 for h.
-1, 0, 1
Let b(x) be the first derivative of -2*x**5/5 - 3*x**4/2 + 4*x**2 + 55. Suppose b(d) = 0. What is d?
-2, 0, 1
Suppose 5*w - 25 = 5*u, 11*w + 3*u = 15*w - 18. Factor 11/4*v - 13/4*v**2 - 1/2 + v**w.
(v - 2)*(v - 1)*(4*v - 1)/4
Suppose -6 = -3*h + 5*t, 3*h + 2*t = t + 6. Let y be (4/(-48))/(h/(-4)). Factor -1/2*s**2 + y*s**4 - 1/3 - 5/6*s + 1/6*s**3.
(s - 2)*(s + 1)**3/6
Suppose 3*m = 5 + 4. Suppose 3 = -m*x + 30. Factor 15*c + 11*c**2 + x*c**3 + 4 + 11*c**2 - c**2 - 1.
3*(c + 1)**2*(3*c + 1)
Let r(g) be the second derivative of g**6/70 + 27*g**5/140 - 3*g**4/28 - 29*g**3/14 - 27*g**2/7 - 63*g. Factor r(n).
3*(n - 2)*(n + 1)**2*(n + 9)/7
Factor -384/5*g**2 - 18432/5*g + 0 - 2/5*g**3.
-2*g*(g + 96)**2/5
Solve -9/8*g**4 - 3*g**3 + 0 - 27/4*g + 171/8*g**2 = 0 for g.
-6, 0, 1/3, 3
Let b(f) be the first derivative of -2*f**5/25 + 9*f**4/10 - 18*f**3/5 + 31*f**2/5 - 24*f/5 + 230. Suppose b(r) = 0. What is r?
1, 3, 4
Let b(p) = 2*p**2 + 544*p + 36971. Let g(k) = -3. Let o(d) = -b(d) + 7*g(d). Factor o(r).
-2*(r + 136)**2
Let j be ((-935)/357 + 3)*14/4. Let b be 20/3 + (-1 - -1). Let 8/3 + 16/3*u**2 + j*u**3 + b*u = 0. What is u?
-2, -1
Let n be 540/(-360) + 19/6. Solve n*y**3 + 5/3*y**2 - 20/3 - 20/3*y = 0 for y.
-2, -1, 2
Let b(a) be the first derivative of a**4/16 + 3*a**3/2 + 81*a**2/8 + 135. Factor b(h).
h*(h + 9)**2/4
Let g(q) be the first derivative of q**6/14 + 3*q**5/5 + 51*q**4/28 + 17*q**3/7 + 9*q**2/7 - 309. Let g(i) = 0. What is i?
-3, -2, -1, 0
Let a(w) = -w**3 + 15*w**2 - 14*w + 3. Let i be a(14). Suppose -i*n = -4*b - 3, b - n - n = -2. Factor 0*f**2 - 2/3*f + 2/3*f**3 + b.
2*f*(f - 1)*(f + 1)/3
Factor -8/13*z**2 + 186/13*z - 46/13.
-2*(z - 23)*(4*z - 1)/13
Let x(p) be the second derivative of p**7/3780 - p**6/405 + p**5/108 - p**4/54 + 13*p**3/6 - 4*p. Let d(m) be the second derivative of x(m). Factor d(u).
2*(u - 2)*(u - 1)**2/9
Let a(x) be the third derivative of 1/420*x**8 - 8/15*x**3 - 1/150*x**6 - 11/75*x**5 + 27*x**2 - 2/5*x**4 + 2/175*x**7 + 0 + 0*x. Suppose a(v) = 0. Calculate v.
-2, -1, 2
Suppose -9*g - 60 = -5*v - 6*g, -5*v - 5*g + 20 = 0. Factor -3*w**2 + 16*w - 14 + v + 0.
-(w - 5)*(3*w - 1)
Factor -8/9*h**3 + 4/9*h**4 + 0*h + 2/9*h**5 + 0 - 16/9*h**2.
2*h**2*(h - 2)*(h + 2)**2/9
Let 0*g**2 - 25*g + 20 + 16*g + 35*g - 2*g**3 + 4*g**2 = 0. Calculate g.
-2, -1, 5
Suppose -5*t + 23 = -52. Find l, given that 25 - l**2 - 4*l**2 - 35 + 0*l**2 - t*l = 0.
-2, -1
Let a(c) be the third derivative of -1/120*c**5 + 0*c - 20*c**2 - 1/4*c**3 + 1/12*c**4 + 0. Find u such that a(u) = 0.
1, 3
Let z(c) be the first derivative of c**8/140 + c**7/105 - 7*c**6/90 + c**5/15 - 4*c**3 - 18. Let j(q) be the third derivative of z(q). Factor j(l).
4*l*(l - 1)*(l + 2)*(3*l - 1)
Solve -94/7*q + 2/7*q**2 + 0 = 0.
0, 47
Let r(j) = 28*j**3 - 788*j**2 + 13088*j + 13872. Let p(v) = -9*v**3 + 263*v**2 - 4362*v - 4624. Let l(d) = 16*p(d) + 5*r(d). Solve l(g) = 0 for g.
-1, 34
Let d(r) = 3*r**3 + 17*r**2 + r + 12. Let y(l) = l**3 + 6*l**2 + 4. Let b(g) = -4*d(g) + 11*y(g). Let m be b(-2). Solve -1 - 6*n**3 - 18*n**m + 1 + 3*n**4 = 0.
-2/5, 