 1)/9
Let l be (-34)/36 + (-3 + -6 - -10). Let q(o) be the third derivative of -1/72*o**4 - 1/90*o**5 - 4*o**2 + 0 + l*o**3 + 0*o. Factor q(f).
-(f + 1)*(2*f - 1)/3
Let i(p) be the second derivative of 7*p**6/80 - 3*p**5/80 - 21*p**4/8 + 17*p**3/2 - 6*p**2 + 4*p + 35. Let i(y) = 0. What is y?
-4, 2/7, 2
Suppose -3*z - 145*n + 29 = -147*n, 5*n = -5*z - 35. Factor 0*q**2 + 1/4*q**z + 0*q + 0.
q**3/4
Let p(s) = -6*s**3 + 11*s**2 + 31*s - 26. Let u(v) = 12*v**3 - 22*v**2 - 62*v + 53. Let q(a) = -7*p(a) - 4*u(a). Suppose q(l) = 0. What is l?
-2, 5/6, 3
Let l be (3/(-3))/((-6)/(-576)*3). Let v = l + 32. Factor v*a**2 - 1/2*a + 0 + 1/2*a**3.
a*(a - 1)*(a + 1)/2
Let n = -64 + 84. Let s = n - 178/9. Factor -2/9 + 0*y + s*y**2.
2*(y - 1)*(y + 1)/9
Let x(i) = -16 + 12 + i**2 + 21 + 15*i. Let q be x(-14). Factor 9/8*o**q - 3/2*o + 0 + 3/2*o**2.
3*o*(o + 2)*(3*o - 2)/8
Let y(w) be the first derivative of -16*w**5/5 + 3*w**4 + 4*w**3 - 8*w**2 + 12*w + 3. Let k(p) = p**4 - p**2 - 1. Let v(m) = -12*k(m) - y(m). Factor v(r).
4*r*(r - 2)**2*(r + 1)
Let p(a) = -a + 24. Let z be p(21). Let d(h) be the third derivative of 1/4*h**z + 1/140*h**7 + 0 + 0*h + 0*h**6 - 1/20*h**5 - h**2 + 0*h**4. Factor d(q).
3*(q - 1)**2*(q + 1)**2/2
Let r(p) = 35*p**2 + 215*p + 80. Let t(h) = 18*h**2 + 106*h + 40. Let o(c) = 6*r(c) - 11*t(c). Suppose o(w) = 0. What is w?
-10, -1/3
Suppose -4/3*w**3 + 32/3*w + 28/3*w**2 + 0 = 0. What is w?
-1, 0, 8
Solve 2*l**2 - 5*l**4 - 9*l + 3*l**5 + 3*l - 11*l**2 + 3*l**3 + 6*l**4 + 8*l**4 = 0 for l.
-2, -1, 0, 1
What is s in -833 + 7442*s + 833 + 2*s**3 + 244*s**2 = 0?
-61, 0
Let c(y) be the third derivative of 1/5*y**5 + 1/8*y**6 - 12*y**2 + 0*y**3 + 0 + 0*y + 0*y**4 + 1/70*y**7. Determine m, given that c(m) = 0.
-4, -1, 0
Let t(i) be the third derivative of 11/10*i**5 + 1/10*i**7 + 5*i**2 + 9/20*i**6 + 0*i + 13/8*i**4 + 1/112*i**8 + 3/2*i**3 + 0. Factor t(h).
3*(h + 1)**4*(h + 3)
Let x be (1/(-12))/(20/(-12)). Let k(l) be the first derivative of 1/8*l**2 + 0*l - x*l**5 - 1/16*l**4 + 1/12*l**3 - 3. Factor k(c).
-c*(c - 1)*(c + 1)**2/4
Let j(m) be the first derivative of -m**4 + 2*m**2 - 18. Factor j(i).
-4*i*(i - 1)*(i + 1)
Let n(m) be the third derivative of -m**9/1512 + m**8/420 + 13*m**3/6 - 41*m**2. Let w(i) be the first derivative of n(i). Suppose w(b) = 0. Calculate b.
0, 2
Let v = 2879 - 2875. Let n(o) be the second derivative of 1/4*o**5 - 1/18*o**6 - 10/9*o**3 + 0 + 0*o**v + 0*o**2 - 10*o. Factor n(l).
-5*l*(l - 2)**2*(l + 1)/3
Suppose -3*m - h + 12 = 0, 4*m + 26*h - 2 = 27*h. Find r such that 0 - 2/9*r**m + 4/9*r - 2/9*r**3 = 0.
-2, 0, 1
Let h(v) be the third derivative of -v**8/252 + 8*v**7/315 + 2*v**6/45 - 22*v**5/45 - v**4/6 + 4*v**3 - 508*v**2 - 2*v. Find x such that h(x) = 0.
-2, -1, 1, 3
Let j(a) be the second derivative of -a**5/30 + a**4/4 + 4*a**3/3 - 25*a**2 - 2*a - 45. Let d(m) be the first derivative of j(m). Determine r so that d(r) = 0.
-1, 4
Let n be (3 - ((-40)/14 + 5))*7. Let s(q) be the first derivative of -1/10*q**4 + 1/15*q**n + 2/25*q**5 - 2/15*q**3 + 0*q + 0*q**2 - 5. Factor s(c).
2*c**2*(c - 1)*(c + 1)**2/5
Suppose a + 34 = -5*t + 11, 0 = 4*a - 2*t + 26. Let y be (-12)/a*-2 - -5. What is r in 16/11 - 120/11*r + 244/11*r**y - 98/11*r**4 - 42/11*r**3 = 0?
-2, 2/7, 1
Let -2/3*m**5 + 0 + 10*m**3 + 0*m - 4*m**4 - 16/3*m**2 = 0. Calculate m.
-8, 0, 1
Let w be -8 + (-723)/(-9) + 2/(-15). Factor 76/5*p - 4/5 - w*p**2.
-(19*p - 2)**2/5
Let d = -23311/2 + 11656. Find u such that -2*u + d*u**3 + 0 + 0*u**2 = 0.
-2, 0, 2
Let t(p) be the second derivative of p**4/12 + 110*p**3/3 + 6050*p**2 - p - 151. Find z such that t(z) = 0.
-110
Suppose 5*j - 305 = -5*n, 4*j + 85 = 2*n + 359. Suppose 4*a + j = 37*a. Solve 4/5*s + 0 - 4/5*s**a = 0 for s.
0, 1
Let w = 967/6 - 161. Let z(u) be the first derivative of 0*u**2 + 0*u + 5 + w*u**3 - 3/8*u**4. Factor z(y).
-y**2*(3*y - 1)/2
Suppose -7 = -3*a - 3*r + 2, 0 = -5*r + 5. Suppose 2/7 - 10/7*h**a + 1/7*h = 0. What is h?
-2/5, 1/2
Let l(r) be the second derivative of r**6/15 + 43*r**5/40 + 85*r**4/24 - 14*r**3 + 9*r**2 - 2*r + 83. Factor l(w).
(w - 1)*(w + 6)**2*(4*w - 1)/2
Suppose 174 = -3*b + 36. Let n = b + 187/4. Factor 3/4*j**3 + n*j**4 - 3/4*j**5 - 3/4*j**2 + 0 + 0*j.
-3*j**2*(j - 1)**2*(j + 1)/4
Let a(f) = 5*f**3 + 10*f**2 - 5*f. Let m(x) = 5*x**3 + 11*x**2 - 5*x + 1. Suppose 25 = -0*o + 5*o. Let c(n) = o*m(n) - 6*a(n). Solve c(v) = 0.
-1, 1
Suppose -124 = 3*y - 688. Let b be (y/40 + -5)*(-8)/6. Let 2/5 - 6/5*s + 6/5*s**2 - b*s**3 = 0. What is s?
1
Let o be 27/(-3)*(-4)/12. Determine c, given that 0*c**2 + 4*c - 34*c**o + 38*c**3 + 8*c**2 = 0.
-1, 0
Let r(k) be the third derivative of k**7/1470 - k**6/280 - k**5/420 + k**4/56 + 24*k**2 + 1. Solve r(c) = 0 for c.
-1, 0, 1, 3
Factor 81 - 3/4*q**3 + 45/4*q**2 - 54*q.
-3*(q - 6)**2*(q - 3)/4
Factor -21*u**3 + 6*u**4 + 0*u**4 + 27*u + 3*u**5 + 12*u**2 - 27*u.
3*u**2*(u - 1)**2*(u + 4)
Let v(z) be the third derivative of 0 + 2*z**2 + 0*z**6 + 4/3*z**4 + 0*z**3 + 8/15*z**5 - 4/105*z**7 - 1/168*z**8 + 0*z. Solve v(o) = 0.
-2, 0, 2
Suppose -45 = -a + 4*c, 0 = -5*a + c + 176 - 46. Let y be ((-45)/a)/((-63)/30). Find d such that 0 + 9/7*d**2 - 3/7*d**3 - y*d = 0.
0, 1, 2
Let n(r) be the second derivative of r**8/168 + 2*r**7/105 - r**6/60 - r**5/15 + 10*r**2 + 12*r. Let k(j) be the first derivative of n(j). Factor k(b).
2*b**2*(b - 1)*(b + 1)*(b + 2)
Let o(u) be the second derivative of -u**9/1008 + u**8/280 + u**7/280 - u**6/60 - 7*u**3/6 + 10*u. Let g(y) be the second derivative of o(y). Solve g(l) = 0.
-1, 0, 1, 2
Let i = 2152 - 2148. Determine p so that 2/5*p**i + 3/5*p**2 - 4/5 - 7/5*p**3 + 8/5*p = 0.
-1, 1/2, 2
Let t(i) be the third derivative of i**7/8820 - i**6/840 + i**5/210 - 23*i**4/24 - 12*i**2. Let r(h) be the second derivative of t(h). Factor r(s).
2*(s - 2)*(s - 1)/7
Let o(z) be the second derivative of z**4/72 - 8*z**3/9 - 11*z**2/4 - 5*z - 7. Solve o(w) = 0 for w.
-1, 33
Let p(g) be the first derivative of 3*g**4/4 - 7*g**3 + 21*g**2 - 24*g - 107. Suppose p(z) = 0. Calculate z.
1, 2, 4
Let d(v) be the third derivative of v**7/60 + v**6/30 - 13*v**5/120 - v**4/24 - 51*v**2 + v. Let d(w) = 0. Calculate w.
-2, -1/7, 0, 1
Suppose d - 25*m = -26*m, m = -5. Let q(a) be the third derivative of -1/40*a**d + 0*a**3 + 0*a + 0*a**4 + 0 - 1/80*a**6 - 8*a**2. Let q(t) = 0. What is t?
-1, 0
Let i(r) be the first derivative of 4 - 1/3*r**3 + 0*r - 1/8*r**4 + 3*r**2 - 1/60*r**5. Let h(m) be the second derivative of i(m). Let h(p) = 0. What is p?
-2, -1
Let p(r) be the second derivative of -r**8/1680 - r**7/840 + r**6/90 + r**5/30 + 5*r**3/2 - 20*r. Let j(i) be the second derivative of p(i). Factor j(f).
-f*(f - 2)*(f + 1)*(f + 2)
Suppose -5*m = -5*j - 27 - 13, 3*m - 2*j - 19 = 0. Determine i, given that 0*i**2 + 0*i**m + 0 - 1/7*i**5 + 0*i - 2/7*i**4 = 0.
-2, 0
Let c(l) be the third derivative of l**6/360 - 13*l**4/72 - 2*l**3/3 + 28*l**2 - 5*l. Factor c(y).
(y - 4)*(y + 1)*(y + 3)/3
Suppose 0 = -3*h + 9, 4*b - h + 19 - 548 = 0. Let a be 57/b - (1/7 + 0). Solve 4/7 + 6/7*u**3 - 6/7*u - 2/7*u**4 - a*u**2 = 0.
-1, 1, 2
Let r(x) be the third derivative of -x**7/42 - 7*x**6/24 - 11*x**5/12 - 25*x**4/24 - 53*x**2. Let r(f) = 0. What is f?
-5, -1, 0
Let 28/5 + 6*l + 2/5*l**2 = 0. Calculate l.
-14, -1
Find k such that -4/9*k + 70/9*k**2 - 248/9*k**3 + 182/9*k**4 + 0 = 0.
0, 1/13, 2/7, 1
Let p(q) be the first derivative of 2*q**3/3 + 5*q**2 + 6*q - 2. Let f(m) = -m**2 - m - 1. Let v = -235 + 234. Let t(s) = v*p(s) - 6*f(s). Solve t(j) = 0.
0, 1
Factor 29/3*v**2 + 0 - 9*v**3 + 7/3*v**4 - 10/3*v + 1/3*v**5.
v*(v - 1)**3*(v + 10)/3
Let p(u) = 155*u**2 + 5430*u + 111915. Let a(s) = -11*s**2 - 388*s - 7994. Let x(z) = -85*a(z) - 6*p(z). Factor x(l).
5*(l + 40)**2
Let h = -33 + 35. Factor -58*u**4 + 42*u**h - 15*u**3 + 8*u**2 + 15*u + 38*u**4 - 30*u**3.
-5*u*(u - 1)*(u + 3)*(4*u + 1)
Let r(h) be the second derivative of h**6/3420 + h**5/190 - h**3/6 - 10*h**2 - 41*h. Let n(v) be the second derivative of r(v). Solve n(y) = 0 for y.
-6, 0
Suppose -8*n + 22 = 3*n. Factor 8*u**n - 4*u**2 + 20 - 2*u**3 - 19*u**2 - 3*u**3.
-5*(u - 1)*(u + 2)**2
Let u = 24 + -16. Suppose 16 + 0 = u*w. Suppose 2 + b**2 - w*b**2 - b**2 = 0. Calculate b.
-1, 1
Let a = -6464 + 