*2 + 3/14*m**7 - 4*m**3 - 20*m + 0. Determine d so that t(d) = 0.
-4, -1, -2/3, 0, 1
Let n(i) be the second derivative of i**7/3780 + i**6/540 + i**5/270 - i**3/6 + 18*i. Let l(c) be the second derivative of n(c). Factor l(d).
2*d*(d + 1)*(d + 2)/9
Let l(v) be the second derivative of -v**6/30 + v**5/4 - v**4/6 - 10*v**3/3 + 12*v**2 + 2*v - 53. Factor l(t).
-(t - 3)*(t - 2)**2*(t + 2)
Suppose -64 = 2*a - 0*a. Let v be (-3)/1 - (a - 3). Factor -13*h**3 - 5*h**2 + 4*h**5 - 11*h**2 + 4*h**4 - 11*h**3 + v*h.
4*h*(h - 2)*(h - 1)*(h + 2)**2
Let q(h) be the third derivative of 0 + 0*h - 1/90*h**6 + 1/315*h**7 - 1/90*h**5 + 1/18*h**4 + 0*h**3 - 16*h**2. Suppose q(x) = 0. What is x?
-1, 0, 1, 2
Let z(p) be the second derivative of p**4/24 - p**3 - 7*p**2 - 89*p. Factor z(k).
(k - 14)*(k + 2)/2
Suppose 7 = -6*g + 19. Let w(u) = -10*u**2 - 55*u - 40. Let l(o) = -5*o**2 - 27*o - 20. Let q(i) = g*w(i) - 5*l(i). What is x in q(x) = 0?
-4, -1
Solve 49 + 52*n + 56 + 4*n**3 - 49 - 5*n**3 + 10*n**2 = 0 for n.
-2, 14
Let u(c) be the first derivative of -c**3/3 + c**2/2 - c + 13. Let f(g) = -35*g**2 + 30*g + 10. Let h(i) = f(i) + 5*u(i). Factor h(n).
-5*(n - 1)*(8*n + 1)
Let h(j) be the first derivative of 1/90*j**5 - j + 2/9*j**2 - 1 - 1/27*j**3 - 1/27*j**4. Let a(g) be the first derivative of h(g). Factor a(z).
2*(z - 2)*(z - 1)*(z + 1)/9
Factor 9*w - 5*w - 24*w**2 - 8*w + 28*w**2.
4*w*(w - 1)
Solve b**2 - 492*b + 235*b + 233*b = 0.
0, 24
Let g(a) be the first derivative of 0*a + 0*a**2 - 4 + 1/20*a**5 + 0*a**3 + 1/8*a**4. Let g(y) = 0. What is y?
-2, 0
Let k(r) be the first derivative of -r**6/2 - 6*r**5/5 - 3*r**4/4 - 22. Factor k(p).
-3*p**3*(p + 1)**2
Let w(k) be the third derivative of 0 + 1/240*k**6 + 0*k + 24*k**2 + 1/40*k**5 - 1/3*k**3 + 0*k**4. Factor w(m).
(m - 1)*(m + 2)**2/2
Let v(m) be the second derivative of m**5/40 + m**4/4 + 5*m**3/12 + 2*m - 89. Factor v(o).
o*(o + 1)*(o + 5)/2
Let r(h) = 17*h**2 - 15*h + 2. Let f(y) = -33*y**2 + 27*y - 3. Let n(z) = 4*f(z) + 9*r(z). Factor n(p).
3*(p - 1)*(7*p - 2)
Let z(h) be the third derivative of h**6/120 + 23*h**2. Let u(j) = 2*j**3 - 24*j**2 - 192*j - 512. Let o(v) = u(v) - 3*z(v). Factor o(y).
-(y + 8)**3
Let y(p) = p**3 + p**2 - p - 1. Let i(d) = 8*d**3 + 14*d**2 - 62*d + 58. Let f(r) = -i(r) + 6*y(r). Solve f(n) = 0 for n.
-8, 2
Let v(u) be the second derivative of -u**5/60 - u**4/18 + 7*u**3/18 - 2*u**2/3 - 194*u. Determine z so that v(z) = 0.
-4, 1
Let d be ((-5542)/476 - -11)*8/(-3). Factor 60/7*w - d - 27/7*w**2.
-3*(w - 2)*(9*w - 2)/7
Let q(b) = 6*b**3 + b**2 + b - 1. Let a(r) = -51*r**3 + 78*r**2 - 9*r + 9. Let c(n) = a(n) + 9*q(n). Factor c(d).
3*d**2*(d + 29)
Let m(f) = -f**2 - f + 112. Let z be m(10). Let v(w) be the third derivative of -1/12*w**4 + 0*w + 1/60*w**6 - 3*w**z + 2/3*w**3 - 1/15*w**5 + 0. Factor v(c).
2*(c - 2)*(c - 1)*(c + 1)
Suppose -12/5*x + 3/5*x**2 + 9/5 = 0. What is x?
1, 3
Determine i, given that 13/2*i + 1 + 3*i**2 = 0.
-2, -1/6
Let n(o) be the first derivative of -4*o**3 + 35*o**5 - 27 + 45/2*o**4 + 0*o - 4*o**2. Let n(a) = 0. Calculate a.
-2/5, 0, 2/7
Let a(u) be the third derivative of 34*u**2 - 8/75*u**7 + 98/75*u**6 + 0 + 0*u**4 + 1/420*u**8 + 0*u**5 + 0*u**3 + 0*u. Let a(d) = 0. Calculate d.
0, 14
Suppose -p = 43 - 52. Suppose 8*k + a + 2 = p*k, 3 = 3*a. Let c**2 + 0 - 5/3*c**5 - c**4 + 7/3*c**k - 2/3*c = 0. Calculate c.
-1, 0, 2/5, 1
Let s(m) = m**3 - 7*m**2 + 10*m - 20. Let w be s(6). Find z, given that 45*z**w + 10*z + 2*z + 12 - 21*z**2 - 12*z**3 - 36*z**4 = 0.
-1, -2/3, 1, 2
Suppose 0 = -4*u - 3*r + 3 + 9, u + 4*r = 16. Let v(m) be the first derivative of -2 + u*m - 1/5*m**4 - 2/25*m**5 - 2/15*m**3 + 0*m**2. Solve v(z) = 0 for z.
-1, 0
Let i(d) = 5*d - 345. Let w be i(69). Find a such that w - 1/10*a**2 - 3/10*a = 0.
-3, 0
Let w(j) be the third derivative of j**8/3192 + j**7/665 - j**6/380 - 11*j**5/570 - j**4/38 - 2*j**2 + 45. Let w(h) = 0. What is h?
-3, -1, 0, 2
Let m(j) = 8*j**2 + 2. Let x be m(4). Factor r**3 + 130*r**4 + r**3 - x*r**4 - 2*r**5.
-2*r**3*(r - 1)*(r + 1)
Let y = -22905 - -22907. Suppose -3*j**3 - 3/2*j**y - 3/4*j**5 + 3*j**4 + 15/4*j - 3/2 = 0. What is j?
-1, 1, 2
Determine q, given that -11*q - 68 + 89*q - q**2 - 6*q - 3*q**2 = 0.
1, 17
Let b = -33 + 37. Determine l, given that 13*l**2 - 15*l**2 + 2*l**5 - 2*l**3 - l**b + 3*l**4 = 0.
-1, 0, 1
Let r(q) be the third derivative of -2/3*q**3 + 1/30*q**6 + 1/2*q**4 - 2*q**2 + 0*q + 0 - 1/5*q**5. Determine s so that r(s) = 0.
1
Solve -61/5*g**4 - 8/5*g + 24*g**3 + 8/5*g**5 + 3 - 74/5*g**2 = 0.
-3/8, 1, 5
Let v(f) be the first derivative of f**6/120 - f**5/20 - 23*f**3/3 + 1. Let a(c) be the third derivative of v(c). Factor a(t).
3*t*(t - 2)
Let y = 16177 - 16175. Factor 16/5*b - 8/5*b**3 + 16/5 - 12/5*b**y + 4/5*b**4.
4*(b - 2)**2*(b + 1)**2/5
Let y(b) = -b**3 + 11*b**2 + b - 9. Let f be y(11). Solve -2*h**2 + 2*h - 12*h + 7*h**f = 0.
0, 2
Let u(x) = 8*x**4 - 12*x**3 - 4*x**2 - 4*x. Let c(k) = -k**4 + k**3 + 3*k. Let m(h) = 4*c(h) + u(h). Find y, given that m(y) = 0.
-1, 0, 1, 2
Suppose 2 + 4 = 4*n + 3*j, -4*n = 4*j - 8. Let k(l) be the first derivative of n*l**2 + 5 + 0*l + 0*l**5 + 1/15*l**6 + 0*l**3 - 1/10*l**4. Solve k(x) = 0.
-1, 0, 1
Let d(z) = 3*z**4 + 5*z**3 - 8*z**2 - 5. Let l(q) = -q**4 - 2*q**3 + 3*q**2 + 2. Let c(m) = 6*d(m) + 15*l(m). Factor c(o).
3*o**2*(o - 1)*(o + 1)
Let p(f) be the first derivative of -1/12*f**6 - 2*f**2 + 4 + 5/8*f**4 + 1/10*f**5 - 2*f - 1/6*f**3. Determine v so that p(v) = 0.
-1, 2
Suppose 0 = -p - 4*j - 39, -77 = 2*p + 2*j - 29. Let f = -16 - p. Factor 1/2*l**f - 1/2*l**2 + 0 + 0*l.
l**2*(l - 1)/2
Let y = 1567/21 + -219/7. Let j = y - 42. Factor 1/3*u**2 + 0*u + u**4 + 0 - j*u**3.
u**2*(u - 1)*(3*u - 1)/3
Let o(a) be the first derivative of 1/4*a**4 + 5 + 3/40*a**5 - 2*a + 1/4*a**3 + 0*a**2. Let l(w) be the first derivative of o(w). What is f in l(f) = 0?
-1, 0
Suppose 11*m - 8*m + 2*s = 0, 5 = 2*m + 3*s. Let k be (-140)/7*((-8)/(-30))/m. Let -8/3*d + 2/3*d**2 + k = 0. What is d?
2
Let g(w) be the second derivative of w**7/1260 + 11*w**6/540 + 7*w**5/36 + 25*w**4/36 - 2*w**3 - 10*w. Let y(f) be the second derivative of g(f). Factor y(l).
2*(l + 1)*(l + 5)**2/3
Let r(k) = -k + 10. Let s be r(8). Solve 97*h**3 + 0*h**4 + 9*h**s - 9*h**4 - 110*h**3 + 11*h**5 + 2*h = 0 for h.
-1, -2/11, 0, 1
Let k(x) = 6*x + 36. Let d be k(-6). Let j(i) be the third derivative of 1/330*i**5 + 4*i**2 + 0 - 1/22*i**4 + 3/11*i**3 + d*i. Suppose j(f) = 0. What is f?
3
Let c(l) be the third derivative of 3/28*l**4 + 4/21*l**3 + 2*l**2 + 0 + 0*l + 1/35*l**5 + 1/420*l**6. Factor c(o).
2*(o + 1)**2*(o + 4)/7
Let v(d) = 2*d**2 - 3*d. Let f be v(2). Factor -36*h + 7*h + 14*h - 15*h**4 + 12*h**f + h**3 + 11*h.
-h*(h + 1)*(3*h - 2)*(5*h - 2)
Suppose -18 = -3*p, -6*s = -54*p + 52*p - 6. What is t in -8/3 + 16/9*t - 2/9*t**s + 2/9*t**2 = 0?
-3, 2
Suppose -25*a**3 - 5*a + 9*a**2 + 3*a**4 + 6 + 28*a**3 - 10*a - 6*a**4 = 0. What is a?
-2, 1
Let j be 4/14 - 1121/4389. Let w(y) be the second derivative of -1/110*y**5 + 0 + j*y**3 - 1/66*y**4 - y + 1/11*y**2. Determine c, given that w(c) = 0.
-1, 1
Let b = 35444 - 35440. Determine m so that 0 - 1/9*m**5 - 4/9*m - 2/3*m**b - 13/9*m**3 - 4/3*m**2 = 0.
-2, -1, 0
Let h be 6 + 6 + -11 + 3. Let i(y) be the second derivative of 0*y**2 + 0*y**3 + 1/60*y**5 - 2*y + 0 + 1/18*y**h - 1/90*y**6. Solve i(s) = 0 for s.
-1, 0, 2
Suppose 1757*r = 1368*r + 1945. Let o be 2/4 - (-10)/(-52). Factor 0 + 0*v - 10/13*v**3 + o*v**2 + 8/13*v**4 - 2/13*v**r.
-2*v**2*(v - 2)*(v - 1)**2/13
Let c(j) = -2*j**2 + j + 1. Let h be c(-1). Let r be (6/27)/(h/(-18)). Factor -507*o**r + 1 - 12 - 156*o - 1.
-3*(13*o + 2)**2
Suppose 2*i - 7*i - 5*d = -30, i + 2*d = 11. Let f be (i/7)/((-5)/(-10)). Suppose -1/7*o**4 - f*o**2 + 12/7*o**5 + 0*o - 9/7*o**3 + 0 = 0. Calculate o.
-2/3, -1/4, 0, 1
Let a be 3/(-3*(-2)/(-15) + 1). Suppose -8 - 72*q**2 + 60*q**4 - 9*q - 43*q + 16*q**3 + 15*q**4 + 5*q**4 + 36*q**a = 0. What is q?
-1, -2/9, 1
Suppose 52/3*c**2 + 0*c - 2/3*c**4 + 0 - 50/3*c**3 = 0. What is c?
-26, 0, 1
Let o = -84 - -60. Let t = -22 - o. Factor 2*k**2 - 2*k**t + k - 2 + k**2 - 2*k.
(k - 2)*(k + 1)
Let c = 2680 + -2676. Solve 0*f + 0*f**2 + 4/7*f**c + 0 + 4/7*f**3 = 0.
-1, 0
Let 