*p**y + 3*p**3 - 3/2*p**4 + 0*p + 0.
-3*p**2*(p - 1)**2/2
Let f(i) be the third derivative of 0*i**7 + 1/72*i**6 + 0*i**3 + 0*i**5 + 0*i + 13*i**2 - 5/1008*i**8 + 0 + 0*i**4. Factor f(h).
-5*h**3*(h - 1)*(h + 1)/3
Let -2*d**4 - 3*d**4 + 4*d**5 + 175*d**2 - 5*d**3 + d**5 - 170*d**2 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Suppose -8*u + 4*u - 504 = 0. Let p be u/(-90) - (-4)/(-5). Let p*i**2 + 12/5 + 12/5*i = 0. Calculate i.
-2
Suppose 4*s - 5*s + 15 = 0. Suppose -16*i = -21*i + s. Factor 2/9*b - 2/9*b**i + 0 + 0*b**2.
-2*b*(b - 1)*(b + 1)/9
Let u(p) be the first derivative of p**3/3 + 28*p**2 - 131*p - 1. Let g(i) = 2*i**2 + 57*i - 132. Let l(a) = 6*g(a) - 7*u(a). Suppose l(b) = 0. What is b?
5
Let k(g) be the second derivative of g**5/5 - 10*g**4 + 72*g**3 - 208*g**2 - 158*g + 1. Suppose k(i) = 0. Calculate i.
2, 26
Factor 48*u**3 - 5 - 50*u**3 + u - 22*u**2 + u + 27.
-2*(u - 1)*(u + 1)*(u + 11)
Let r(h) be the third derivative of -h**6/600 - 29*h**5/150 - 13*h**4/2 + 60*h**3 + 65*h**2. Factor r(w).
-(w - 2)*(w + 30)**2/5
Let z = 165 + -169. Let y be (1/10)/(z/(-16)). Factor -y*r**2 - 2/15 + 8/15*r.
-2*(r - 1)*(3*r - 1)/15
Let m = -189 + 189. Let s be 3/6*(0 - 2)*m. Factor 1/5*b**2 - 1/5 + s*b.
(b - 1)*(b + 1)/5
Let m(d) be the third derivative of d**5/300 - d**3/30 + 58*d**2. Suppose m(g) = 0. What is g?
-1, 1
Suppose 0 = -6*n - 19 - 17. Let f be 16/(-9) + 6/(-3 - n). Suppose -2/9 + f*u**2 + 2/9*u - 2/9*u**3 = 0. What is u?
-1, 1
Let n(f) be the third derivative of f**5/570 + 5*f**4/228 - 56*f**2. What is g in n(g) = 0?
-5, 0
Suppose -4*n = n - 10. Suppose -n*a - 2 = u, 7*u - a = 2*u + 23. Factor -t**5 + 0*t**2 + 2*t**4 - t**3 + t**2 - 3*t**u + 2*t**3.
-t**2*(t - 1)*(t + 1)**2
Let g be -5 + 27/5 + (-90)/(-525). Factor g*x**2 - 10/7*x - 6/7.
2*(x - 3)*(2*x + 1)/7
Let c(h) = -5*h**3 - h**2 + 1. Let b(j) = -7*j**3 - 21*j**2 + 2*j - 4. Let z(d) = b(d) + 4*c(d). Factor z(u).
-u*(u + 1)*(27*u - 2)
Solve 3*i**3 - 3111*i**4 + 3120*i**4 + 3*i**2 + 3*i**5 + 6*i**3 = 0.
-1, 0
Let x = 2086 + -10426/5. Determine c, given that -x*c**2 + 0*c + 0 = 0.
0
Suppose -4*w - f = -104, -2*w - 5*f = -0*f - 34. Suppose -u - 27 = -w. Factor -1/3*o**3 + u*o + 0 + o**2.
-o**2*(o - 3)/3
Let q(v) be the first derivative of -v**4/6 + 14*v**3/9 - 5*v**2 + 6*v - 142. Determine f so that q(f) = 0.
1, 3
Let z(r) = -6*r**2 - 56*r + 5. Let j(f) = -f**2 - f + 1. Let h(o) = -5*j(o) + z(o). Let h(k) = 0. Calculate k.
-51, 0
Factor 8/9 + 2/9*d**2 - 10/9*d.
2*(d - 4)*(d - 1)/9
Suppose 5*y = 27 - 2. Let x be y/(60/(-8)) + 1. Let 5/6*s**2 + 1/2*s - x = 0. What is s?
-1, 2/5
Let i(t) be the third derivative of 2/7*t**3 - 9*t**2 + 0*t + 0 - 1/210*t**5 + 1/84*t**4. Let i(a) = 0. What is a?
-2, 3
Let j(p) be the first derivative of 16*p**2 + 256/15*p**3 + 32/5*p + 11 + 6/5*p**5 + 38/5*p**4. Determine z so that j(z) = 0.
-2, -2/3, -2/5
Suppose -4*h + 32 = -4*g, -1 = 2*g + 5. Suppose -26 + 11 = -h*w. Suppose 2/3*v**4 - 2/3*v**2 - 2/3*v**w + 0 + 2/3*v = 0. What is v?
-1, 0, 1
Let b(h) = h**2 + 3*h + 5. Let w be b(-2). Suppose w*u + 96 = 35*u. Suppose 2/3*m**2 - 2/3*m**4 + 0 - 2/3*m**u + 2/3*m = 0. Calculate m.
-1, 0, 1
Let l(h) be the second derivative of -h**5/80 - 11*h**4/48 - h**3 + 9*h**2/2 + 136*h + 2. Factor l(b).
-(b - 1)*(b + 6)**2/4
Let i(y) be the second derivative of y**8/525 + y**7/350 - y**6/450 - 19*y**3/6 - 11*y. Let g(p) be the second derivative of i(p). Solve g(l) = 0 for l.
-1, 0, 1/4
Let b(i) be the third derivative of -13*i**2 - 1/390*i**5 - 1/455*i**7 + 0*i + 1/195*i**6 + 0*i**3 + 0*i**4 + 0. Factor b(u).
-2*u**2*(u - 1)*(3*u - 1)/13
Suppose 50 - 58 = -4*b. Suppose -5*l = -0*l - 15. Factor 2/3 - 8/3*s**l + 4*s**b + 2/3*s**4 - 8/3*s.
2*(s - 1)**4/3
Let n(g) be the third derivative of g**9/30240 + g**8/2520 - g**7/504 + 4*g**5/15 + 18*g**2. Let i(z) be the third derivative of n(z). Solve i(x) = 0 for x.
-5, 0, 1
Suppose -37*x + 125 = -23. Solve 1/4*c + 9/4*c**5 + 11/2*c**3 - 2*c**2 + 0 - 6*c**x = 0.
0, 1/3, 1
Let o(h) = 6*h**5 + 3*h**4 - 24*h**3 + 21*h**2 - 3. Let y(b) = -b**5 - b**4 + b**3 - b**2 + 1. Let u(g) = o(g) + 3*y(g). Suppose u(l) = 0. Calculate l.
-3, 0, 1, 2
Let v be (-2)/(2/12*-4). Factor -v*i - 8*i**2 + 3*i - 4*i + 12.
-4*(i - 1)*(2*i + 3)
Let y(h) be the first derivative of -h**7/105 + h**6/25 - 3*h**5/50 + h**4/30 - 2*h - 15. Let u(a) be the first derivative of y(a). Factor u(f).
-2*f**2*(f - 1)**3/5
Suppose -30*l + 29 + 2*l**2 - 17*l + 7*l + 8*l + 27 = 0. Calculate l.
2, 14
Let i = -463 + 467. Let g(w) be the first derivative of -1/10*w**5 + 7 - 1/2*w**2 + 0*w**3 + 1/4*w**i + 1/2*w. Find n such that g(n) = 0.
-1, 1
Let h(u) be the third derivative of 16*u**5/5 - 2*u**4 + u**3/2 + 298*u**2. Solve h(x) = 0.
1/8
Solve -5/4 - 13/4*y**2 - 7/8*y**3 + 43/8*y = 0 for y.
-5, 2/7, 1
Determine a, given that -5*a**5 + 2803*a**2 - 10 - 8*a - 7*a - 2793*a**2 + 20*a**3 = 0.
-1, 1, 2
Let s = -16 + -16. Let q be s/(-60) - 4/30. Let q*o + 1/5 + 1/5*o**2 = 0. Calculate o.
-1
Let s = 49/39 + -12/13. Let n(i) = 3*i**2 + 36*i + 35. Let a be n(-1). Factor -1/3*j - s + 1/3*j**3 + 1/3*j**a.
(j - 1)*(j + 1)**2/3
Solve 3/7*v**2 - 45/7 - 6*v = 0 for v.
-1, 15
Suppose 0 = 5*d + 15, 0 = 4*z - d + 5*d + 4. Factor -21*g + 8 + g**z + 40*g - 13*g.
(g + 2)*(g + 4)
Let h(i) be the third derivative of i**7/280 - i**6/360 - i**5/40 + i**4/24 - 17*i**3/6 - 4*i**2. Let t(s) be the first derivative of h(s). Factor t(n).
(n - 1)*(n + 1)*(3*n - 1)
Factor 78 + 18*i - i**3 + 42*i**2 - 133*i - 4*i.
-(i - 39)*(i - 2)*(i - 1)
Let x = 1074031/18455 - -10/3691. Let p = -58 + x. Suppose -p*d**2 + 0*d + 0 - 4/5*d**4 - d**3 = 0. Calculate d.
-1, -1/4, 0
Suppose 3/5*f**4 - 18/5 - 3*f**3 + 3*f**2 + 3*f = 0. What is f?
-1, 1, 2, 3
Let z(o) be the third derivative of o**7/3150 - o**4/12 - o**2. Let p(l) be the second derivative of z(l). Determine k, given that p(k) = 0.
0
Let o be (-272)/96 - (-2)/(-12). Let h be (-2 + (-3)/(-6))/o. Let 0 + h*y**2 + y = 0. What is y?
-2, 0
Let h be (-1 - -2)*-2 - (4 - 18). Let d(b) = -3*b**3 - 9*b**2 - 105*b - 63. Let y(z) = 2*z**2 + 1. Let w(m) = h*y(m) - d(m). Factor w(q).
3*(q + 1)*(q + 5)**2
Let p(n) be the third derivative of 2*n**7/315 - 11*n**6/360 - 11*n**5/20 - 17*n**4/9 - 14*n**3/9 + 125*n**2. Factor p(i).
(i - 7)*(i + 2)**2*(4*i + 1)/3
Let w be -5 + -7 + 4 + 12. Let i(z) be the third derivative of 0*z**3 - 7/360*z**6 + 4*z**2 + 4/45*z**5 + 0*z - 1/18*z**w + 0. Let i(g) = 0. What is g?
0, 2/7, 2
Let p(k) = -28*k**2 - 8*k + 24. Let a(r) = 2*r**2 - 1. Let c(w) = -12*a(w) - p(w). Factor c(f).
4*(f - 1)*(f + 3)
Let j(f) = -f**3 - 2*f**2 - f - 1. Let t(d) = 10*d**3 - 116*d**2 + 1030*d + 6. Let x(c) = -6*j(c) - t(c). Suppose x(z) = 0. What is z?
0, 16
Factor 375*x - 2*x**3 - 2*x**2 - 750*x + 375*x.
-2*x**2*(x + 1)
Let l(y) = 12*y**3 - 46*y**2 + 42*y + 22. Let m(w) = -w**3 - w + 1. Let b(r) = -l(r) - 2*m(r). Let b(k) = 0. What is k?
-2/5, 2, 3
Factor -55*c**3 + 4*c**4 - 8*c**2 - 46*c**3 + 97*c**3.
4*c**2*(c - 2)*(c + 1)
Let l(t) = -t**3 - t**2 + t. Let d(x) = -x**3 - 20*x**2 - 37*x - 20. Let g(j) = -d(j) + 2*l(j). Determine o so that g(o) = 0.
-1, 20
Let m be -3 - (63/(-24))/((-120)/(-160)). What is i in m*i + 0 + 1/4*i**2 = 0?
-2, 0
Let g(c) be the second derivative of -c**8/6720 - c**7/1260 - 3*c**4/2 + 28*c. Let v(a) be the third derivative of g(a). What is y in v(y) = 0?
-2, 0
Suppose -4*m = t - 10, -2*m - 3*m + 10 = 0. Factor -b**2 - 20 + 6*b**2 - 5*b**t - 4*b**2 + 24*b.
-4*(b - 5)*(b - 1)
Let v(c) be the third derivative of 3/70*c**7 - 1/112*c**8 + 1/20*c**5 + 0*c**4 + 0*c**3 + 0 - 3/40*c**6 + 13*c**2 + 0*c. Factor v(j).
-3*j**2*(j - 1)**3
Let y(c) be the second derivative of -c**4/4 + 2*c**3 - 3*c**2/2 + 7*c. Let a(w) = 1. Let p(b) = 9*a(b) - y(b). Let p(d) = 0. Calculate d.
2
Let r(l) be the first derivative of 9/2*l**2 + 3/4*l**4 + 3*l + 3*l**3 - 1. Let r(p) = 0. What is p?
-1
Factor -1682*k - 6359 - 2*k**2 + 6*k**2 + 834*k + 51303.
4*(k - 106)**2
Let c = -224 - -224. Let w(l) be the second derivative of 0*l**4 - 2*l + 0 + 0*l**2 + 0*l**3 + c*l**5 + 1/60*l**6. Suppose w(m) = 0. What is m?
0
Let f(z) be the second derivative of 4*z**5/5 + 21*z**4/2 + 88*z**3/3 - 12*z**2 - 4*z + 1. Let f(l) = 0. What is l?
-6, -2, 1/8
Suppose -2*m + 13 = -1. Suppose -m*o = -3*o - 8. Fac