r -64/7 + 12/7*n**4 - 32/7*n**2 + f*n**3 + 2/7*n**5 - 96/7*n.
2*(n - 2)*(n + 2)**4/7
Let j(u) be the first derivative of -u**6/18 - 3*u**5/5 - u**4/4 + 73*u**3/9 - 16*u**2 + 12*u + 65. Factor j(t).
-(t - 1)**3*(t + 6)**2/3
Solve 1/2*d**3 + 10*d - 1/2*d**4 + 0 + 8*d**2 = 0.
-2, 0, 5
Let i(n) = -3*n**3 + 5*n**2 + 9*n. Let b(h) = 2*h**3 - 3*h**2 - 6*h. Let u(v) = -7*b(v) - 4*i(v). Factor u(f).
-f*(f - 2)*(2*f + 3)
Let d(g) = g**2 + 14*g - 12. Let y be d(-15). Factor -4*a**2 - y*a - 4*a**3 + 8 + 7*a - 4*a**2.
-4*(a - 1)*(a + 1)*(a + 2)
Let f(x) be the first derivative of x**7/70 - x**6/20 + 7*x**2 - 16. Let c(y) be the second derivative of f(y). Factor c(j).
3*j**3*(j - 2)
Factor 14*d - 5*d - 5*d**3 - 4*d**3 + 8*d**3.
-d*(d - 3)*(d + 3)
Factor -25*f**2 + 3*f**3 - 21*f**2 - 22*f**2 - 12*f + 74*f**2 - 24 + 0*f**3.
3*(f - 2)*(f + 2)**2
Find i such that 394*i - 235*i**2 - 409 - 30*i**3 + 161*i - 50*i**2 + 35*i**3 + 134 = 0.
1, 55
Suppose -j = -5*k + 15 - 0, 12 = 4*k - 3*j. Suppose -1 = 4*z + 4*c - 13, -k*z + c = -9. Factor -2/5*g**z - 2/5*g**4 + 2/5*g**2 + 0 + 2/5*g.
-2*g*(g - 1)*(g + 1)**2/5
Let b(w) be the second derivative of 0 - w**3 - 1/4*w**4 - 10*w + 0*w**2. Factor b(f).
-3*f*(f + 2)
Let a(r) be the second derivative of -r**6/72 + 5*r**5/24 + 17*r**3/6 + 18*r. Let h(p) be the second derivative of a(p). Let h(i) = 0. What is i?
0, 5
Let c be -1*-6*15/(-6)*(-5)/50. Find g such that 2 - c*g**3 - 20/3*g + 13/2*g**2 = 0.
2/3, 3
Let g(w) = -w**3 + 11*w**2 + 10*w - 38. Let c be g(12). Let p = -59 - c. Factor 0 + 0*a + 0*a**2 + 4/5*a**p.
4*a**3/5
Let b(z) be the first derivative of z**5 + 25*z**4/4 - 35*z**3/3 - 25*z**2/2 + 30*z - 223. Factor b(l).
5*(l - 1)**2*(l + 1)*(l + 6)
Determine q so that 150/13*q**2 - 2736/13*q - 2/13*q**3 - 2888/13 = 0.
-1, 38
Let q(h) = 6*h**2 + 1359*h + 75259. Let o(s) = 3*s**2 + 681*s + 37629. Let j(m) = 5*o(m) - 3*q(m). Suppose j(i) = 0. What is i?
-112
Let x = 6616 - 6614. Determine b, given that -3/4*b + 1/4*b**x + 0 = 0.
0, 3
Let s = -250 + 255. Let q(x) be the third derivative of -x**2 + 0*x**6 + 0*x**4 + 1/1050*x**7 + 0 - 1/150*x**s + 0*x + 1/30*x**3. Solve q(o) = 0 for o.
-1, 1
Let c(r) be the second derivative of -r**5/40 - 7*r**4/24 - r**3/3 + 3*r**2 - 47*r. Factor c(i).
-(i - 1)*(i + 2)*(i + 6)/2
Let d = 180 + -176. Suppose 6*n - 4*n = -c + 14, 36 = 3*c + d*n. Factor -c*a - 4/5*a**2 - 20.
-4*(a + 5)**2/5
Let p(l) = -4*l**3 - l**2 - 5*l. Let t(z) = -5*z**3 - z**2 - 6*z. Let q be 0*2*(-1)/(-2). Suppose -v + 7 - 2 = q. Let x(c) = v*t(c) - 6*p(c). Factor x(j).
-j**2*(j - 1)
Suppose -m + 36 = -81. Suppose 4*v**5 + 16*v**4 - 204*v**3 + 4*v + v**2 + m*v**3 + 111*v**3 + 15*v**2 = 0. Calculate v.
-1, 0
Let b be (-4)/4*(-5)/45*3. Let x = 438 - 435. Suppose -b*c**3 + 5/3*c**2 - x - c = 0. What is c?
-1, 3
Let w(k) be the second derivative of k**4/18 + 5*k**3/9 - 143*k - 1. Determine x, given that w(x) = 0.
-5, 0
Suppose -12 - 44 = -7*k. Factor h**4 - 17*h + 16*h**2 + 17*h + k*h**3.
h**2*(h + 4)**2
Let s be (7/12*-2)/((-7)/3). Factor -s*m + 0 - 4*m**3 - 3*m**2.
-m*(2*m + 1)*(4*m + 1)/2
Solve -93*u - 4*u - 103*u - 3*u - 2*u**2 - 77*u - 9800 = 0.
-70
Find p, given that -3*p**3 + 46*p**4 - p**2 - 45*p**4 - 3*p - 13*p**5 + p + 3*p + 15*p**5 = 0.
-1, 0, 1/2, 1
Let k(x) be the first derivative of -32/3*x**3 + 10 - 4*x**6 + 4*x + 6*x**4 + 28/5*x**5 + 0*x**2. Determine v so that k(v) = 0.
-1, -1/3, 1/2, 1
Let z(a) = -a**3 - a**2 - 1. Let i(l) = 4*l**3 + 4*l**2 + l + 6. Suppose -5*k + 4*j + j - 25 = 0, -5*j = -k - 5. Let f(r) = k*z(r) - i(r). Factor f(q).
(q - 1)*(q + 1)**2
Let l(w) be the third derivative of -w**7/42 - 13*w**6/24 - 19*w**5/4 - 475*w**4/24 - 125*w**3/3 - 40*w**2. Factor l(t).
-5*(t + 1)*(t + 2)*(t + 5)**2
Let d(x) be the first derivative of -x**3/3 - 23*x**2/2 - 22*x + 39. Suppose d(j) = 0. What is j?
-22, -1
Factor 16*n + 8/7*n**3 + 62/7*n**2 - 32/7.
2*(n + 4)**2*(4*n - 1)/7
Solve 2/13*x**3 + 30/13*x + 50/13 - 18/13*x**2 = 0 for x.
-1, 5
Let p = -1472 - -10312/7. Factor 2/7*d**2 - p*d + 6/7.
2*(d - 3)*(d - 1)/7
Let n = -1873 - -1875. Find v such that 0 - 2/19*v**n + 4/19*v = 0.
0, 2
Let n(g) be the second derivative of g**9/7560 - g**8/1120 + g**7/630 - 3*g**4/2 + 6*g. Let h(y) be the third derivative of n(y). Factor h(o).
2*o**2*(o - 2)*(o - 1)
Solve 191*a + 140 - a**3 + 2*a**3 + 4*a**3 - 31*a + 55*a**2 = 0 for a.
-7, -2
Let g(r) be the first derivative of -r**7/42 + 7*r**5/20 + r**4/6 - 2*r**3 - 4*r**2 - 44*r - 8. Let j(l) be the first derivative of g(l). Factor j(c).
-(c - 2)**2*(c + 1)**2*(c + 2)
Let h(r) be the third derivative of r**6/18 + 2*r**5/5 + 2*r**4/3 - r**3/3 - 19*r**2. Let m(g) be the first derivative of h(g). Factor m(z).
4*(z + 2)*(5*z + 2)
Factor 10*t**3 - 3*t**2 - 2*t**2 - 360*t**4 + 355*t**4.
-5*t**2*(t - 1)**2
Let q(f) be the third derivative of -f**8/112 - 8*f**7/105 - f**6/5 + 2*f**4/3 - 145*f**2 + f. Factor q(l).
-l*(l + 2)**3*(3*l - 2)
Let o = -108 - -138. Solve -8*a + o*a + 3*a**2 - 6*a - 5*a**2 = 0.
0, 8
Suppose -3*r = -3*s - 9, -124 + 129 = 5*s. Let m(d) be the third derivative of -7/390*d**5 + 0*d + 6*d**2 + 1/13*d**r + 4/39*d**3 + 0. Factor m(j).
-2*(j - 2)*(7*j + 2)/13
Let a(z) be the third derivative of 0 - 17*z**2 + 7/36*z**4 + 0*z - 2/3*z**3 - 1/180*z**6 + 0*z**5. Suppose a(c) = 0. Calculate c.
-3, 1, 2
Let q = 1588 + -1586. Let f(d) be the third derivative of -2/3*d**3 + 1/15*d**5 + 1/30*d**6 + 0 - 6*d**q + 0*d - 1/6*d**4. Factor f(w).
4*(w - 1)*(w + 1)**2
Let w(s) be the third derivative of s**6/720 - s**5/80 + 13*s**3/3 + 5*s**2. Let b(v) be the first derivative of w(v). Solve b(i) = 0 for i.
0, 3
Let f(g) be the second derivative of -g**7/378 + 29*g**6/270 + 197*g**5/180 + 443*g**4/108 + 208*g**3/27 + 70*g**2/9 - 6*g - 30. Find n such that f(n) = 0.
-2, -1, 35
Let j = -2774/15 - -556/3. What is y in j*y**3 + 0*y + 0 + 2/5*y**4 + 0*y**2 = 0?
-1, 0
Let g(a) be the second derivative of -6*a + 3/2*a**3 - a**2 + 0 + 11/12*a**4. Factor g(m).
(m + 1)*(11*m - 2)
Let w(y) be the first derivative of y**9/756 + y**8/420 - y**7/210 - y**6/90 - 2*y**3 + 8. Let p(n) be the third derivative of w(n). Find m such that p(m) = 0.
-1, 0, 1
Factor 0 - 3/4*h + 57/8*h**2.
3*h*(19*h - 2)/8
Let c = 135 + -204. Let q be 6/(-21) - (c/21 + 1). Find s, given that 2/5*s**q + 0*s**3 + 4/15*s + 0 - 2/15*s**4 = 0.
-1, 0, 2
Let j(w) be the second derivative of -w**6/1440 + w**5/120 - w**4/24 + 4*w**3/3 + 2*w. Let m(c) be the second derivative of j(c). Suppose m(p) = 0. Calculate p.
2
Suppose -4*u = 11 - 79. Let y = u - 14. Factor -l**2 + 0*l**2 - 1 + y - l**2.
-2*(l - 1)*(l + 1)
Let s be ((-8 + -16)/4)/((-8)/3). Suppose -3/4*n**2 + 9/4*n - s + 1/12*n**3 = 0. What is n?
3
Let a(b) be the third derivative of -b**9/30240 + b**7/1680 - b**6/720 - b**4/24 + 11*b**2. Let t(o) be the second derivative of a(o). Let t(m) = 0. What is m?
-2, 0, 1
Let a be (26/(-13))/(-10)*1/168. Let u(k) be the third derivative of -a*k**7 + 0*k + 0*k**5 + 0*k**3 - 1/24*k**4 - 5*k**2 + 0 + 1/160*k**6. Factor u(r).
-r*(r - 2)**2*(r + 1)/4
Let d = -103 + 123. Factor -98 + 90 - 5*q**3 - 16*q**2 + 9*q**3 + d*q.
4*(q - 2)*(q - 1)**2
Let m(s) be the second derivative of -s**7/280 + s**6/5 - 24*s**5/5 + 64*s**4 - 512*s**3 + 12*s**2 - 2*s. Let c(t) be the first derivative of m(t). Factor c(z).
-3*(z - 8)**4/4
Suppose 29 - 45 = -4*m. Let s(c) be the second derivative of 0 + 2*c**3 - 3/2*c**2 - 3/2*c**m - c + 3/5*c**5 - 1/10*c**6. Suppose s(f) = 0. What is f?
1
Let f(x) = -x**4 - x**2 - x - 1. Let j(u) = 20*u**4 + 2*u**3 + 22*u**2 + 22*u + 22. Let z = 72 - 70. Let p(l) = z*j(l) + 44*f(l). Factor p(y).
-4*y**3*(y - 1)
Let f(q) be the third derivative of q**7/40 + 37*q**6/160 + 59*q**5/80 + 35*q**4/32 + 3*q**3/4 + q**2 + 31*q. Determine k, given that f(k) = 0.
-3, -1, -2/7
Let s be ((-3)/(-6))/(-8 + (-838)/(-104)) + -8. Factor 0 + 4/9*m**2 + 0*m**4 - s*m**3 + 0*m + 2/9*m**5.
2*m**2*(m - 1)**2*(m + 2)/9
Determine w so that 93/4*w**4 - 9/4*w**5 - 89/2*w**3 + 187/4*w + 289/4 - 191/2*w**2 = 0.
-1, 1, 17/3
Let n(b) be the second derivative of 0*b**3 + 1/2*b**4 + 0*b**5 - 2*b - 3/2*b**2 + 0 - 1/10*b**6. Factor n(t).
-3*(t - 1)**2*(t + 1)**2
Let w(d) = d**2 + 4*d + 2. Let s be -1 - (1 + -2 + 4). Let k be w(s). Factor -7*l**k + 10*l**2 - 4*l - 9*l**2.
-