ctor l(s).
-4*(s - 1)*(s + 1)*(s + 5)
Let c(p) be the first derivative of -5 - 1/2*p**6 + 27*p - 99/2*p**2 + 27/5*p**5 - 45/2*p**4 + 46*p**3. What is d in c(d) = 0?
1, 3
Let p(s) = -3*s**2 - s**3 - 2*s**2 + 10 - 2*s**2 + 0*s**3 + 9*s. Let r be p(-8). Solve -375*x + 10*x**r + 625 - 5*x**3 + 69*x**2 - 4*x**2 = 0.
5
What is v in 79*v**2 - 16*v**3 + 90*v - 15*v**4 + 136*v**2 + 77*v**3 + 49*v**3 = 0?
-1, -2/3, 0, 9
Factor 51*a - 105*a - 5*a**4 - 6*a**2 + 3*a**5 + 11*a**4 + 51*a.
3*a*(a - 1)*(a + 1)**3
Let a be 572/3 + (-10)/15 + 0. Let y = a - 569/3. Find m such that -y*m**2 + 2/3*m + 1 = 0.
-1, 3
Let g(d) be the third derivative of 9*d**2 - 1/3*d**3 + 0*d + 1/20*d**5 - 1/8*d**4 - 1/120*d**6 + 0. Let y(h) be the first derivative of g(h). Factor y(c).
-3*(c - 1)**2
Let i be (-15)/4*((-2178)/(-55))/(-11). Solve i*l**2 - 81/2*l + 81/2 - 3/2*l**3 = 0.
3
Let w(g) be the second derivative of g**5/5 - g**4/6 - g**3/3 + 411*g. Solve w(r) = 0.
-1/2, 0, 1
Let k(v) be the third derivative of -v**6/30 + v**5/60 + v**4/8 - 163*v**2. Factor k(o).
-o*(o - 1)*(4*o + 3)
Suppose -2 = -14*g - 2. Let q(i) be the first derivative of 0*i**2 - 7 - 2/7*i + 4/21*i**3 - 2/35*i**5 + g*i**4. Factor q(w).
-2*(w - 1)**2*(w + 1)**2/7
Factor 131*l**2 + 56*l - 132*l**2 - 60*l.
-l*(l + 4)
Let m(f) be the third derivative of -f**8/2800 - f**7/280 - f**6/100 - 19*f**3/3 - 5*f**2. Let i(p) be the first derivative of m(p). Factor i(u).
-3*u**2*(u + 2)*(u + 3)/5
Suppose -16 - 2 = -3*p. Let g = p - -1. Let -g*v + 9*v**3 - 9*v + 38 - 34 + 0*v**2 - 11*v**2 = 0. What is v?
-1, 2/9, 2
Let m(k) be the second derivative of k**5/110 + k**4/66 - 2*k**3/33 - 90*k + 2. Find n such that m(n) = 0.
-2, 0, 1
Let w(t) = -4*t**2 + 92*t + 129. Let j(s) = -s**2 + 23*s + 33. Let p(g) = 22*j(g) - 6*w(g). Factor p(v).
2*(v - 24)*(v + 1)
Suppose 9 = -i - 4*m + 4, 5*m - 2 = -4*i. Let x(d) be the first derivative of -7 - 1/6*d**6 + 3/4*d**4 + 2/3*d**i + 0*d**2 + 0*d + 0*d**5. Factor x(p).
-p**2*(p - 2)*(p + 1)**2
Suppose 27*r**3 + 5*r**5 + 15*r**4 + 9*r**2 - 24 + 6*r + 12*r**2 + 24 - 2*r**5 = 0. Calculate r.
-2, -1, 0
Let a(y) = 2*y**2 - 9*y - 5. Let c(g) = 6*g**2 - 28*g - 14. Suppose 9 = 2*s + s. Let m(u) = s*c(u) - 10*a(u). Determine x so that m(x) = 0.
-1, 4
Let z(m) be the first derivative of 21*m**4/4 - 33*m**3 - 78*m**2 - 36*m - 389. Let z(l) = 0. What is l?
-1, -2/7, 6
Solve 4*n + 19*n**3 - 29*n**3 + 6*n - 6*n**2 + 6*n = 0 for n.
-8/5, 0, 1
Let v = 621/2 - 309. Let x(s) be the first derivative of 0*s - 1/3*s**2 + 2 + 2/9*s**3 + v*s**4 + 22/15*s**5 + 4/9*s**6. Factor x(j).
2*j*(j + 1)**3*(4*j - 1)/3
What is j in -52/7*j**4 + 0*j**2 + 169/7*j**5 + 4/7*j**3 + 0 + 0*j = 0?
0, 2/13
Let y = -5083/4 + 1272. Let n(g) = -g**3 + 2*g**2 + 4*g. Let x be n(3). Factor -y*i - 1/4*i**x - 1/2 - i**2.
-(i + 1)**2*(i + 2)/4
Let c(x) be the second derivative of x**4/3 + 44*x**3/3 - 96*x**2 - 283*x. Factor c(g).
4*(g - 2)*(g + 24)
Suppose 140 = 5*f + 4*m, 4*f - 81 = f - 3*m. Suppose -13*a + 7 = -f. Find i, given that -2/9*i - 16/9*i**2 - 10/9*i**a + 4/9 = 0.
-1, 2/5
Let -3/8*a - 3/8*a**2 + 3/8*a**3 + 3/8 = 0. What is a?
-1, 1
Let y = -8 - -10. Factor 3 - 1 - o**4 - 4 + 5*o**3 + 7*o - 9*o**y.
-(o - 2)*(o - 1)**3
Factor 155*i**3 - 32*i**2 - 305*i**3 + 20*i + 162*i**3.
4*i*(i - 1)*(3*i - 5)
Let w(r) = -r**2 + 10*r - 21. Let m be 43/7 - (-6)/(-42). Let z be w(m). Suppose 1/3*a**z - 2/3*a + 0 - a**4 + a**2 + 1/3*a**5 = 0. What is a?
-1, 0, 1, 2
Let l = 48 + -45. Factor 2*m**3 - 40 + 4*m**3 - 51*m - l*m**3 + 13 - 21*m**2.
3*(m - 9)*(m + 1)**2
Let f(i) = i**3 - 5*i**2 - i - 7. Let o(p) = -p**3 + 4*p**2 + p + 6. Suppose -8 = -3*w + 10. Let k(b) = w*o(b) + 5*f(b). Let k(d) = 0. What is d?
-1, 1
Let t(n) be the first derivative of -n**6/16 + 9*n**5/20 + 15*n**4/16 - 2*n**3 - 99*n**2/16 - 21*n/4 - 139. Find j, given that t(j) = 0.
-1, 2, 7
Let n(k) be the second derivative of -k**5/10 - k**4/2 + 8*k**3 - 28*k**2 + 281*k. Factor n(h).
-2*(h - 2)**2*(h + 7)
Suppose -7*h - 115 = 53. Let w = h - -27. Factor 0 - 3/2*l**w - 3/2*l + 3*l**2.
-3*l*(l - 1)**2/2
Let g = -24713 - -24715. Solve -10/3 + 2/3*s - 2/3*s**3 + 10/3*s**g = 0 for s.
-1, 1, 5
Let z = 10 - 18. Let t = 8 + z. Factor -2/9*o**3 + 0*o**2 + t*o + 0.
-2*o**3/9
Let s(i) be the second derivative of i**5/60 - 5*i**4/36 + i**3/3 + 37*i - 2. Factor s(r).
r*(r - 3)*(r - 2)/3
Let n be 12/54 - 133/(-9). Factor -2*a + n - a - 13 + a**2.
(a - 2)*(a - 1)
Suppose -i = -5*b - 678 + 705, -12 = 4*i - 4*b. Suppose 27/2*f - 3/2*f**2 - 27/2*f**4 - i - 63/2*f**3 = 0. What is f?
-2, -1, 1/3
Let w(k) be the second derivative of k**6/600 - k**4/40 - k**3/15 + 13*k**2/2 - 22*k. Let n(x) be the first derivative of w(x). Find j such that n(j) = 0.
-1, 2
Let h(d) = 5*d**4 + 10*d**3 + d**2 - 4*d + 2. Let a(u) = u**4 + u**3 + u**2 + u - 1. Let x(r) = 2*a(r) + h(r). Suppose x(n) = 0. Calculate n.
-1, 0, 2/7
Factor -36/7*v**4 - 218/7*v**3 + 0 - 72*v**2 - 56*v - 2/7*v**5.
-2*v*(v + 2)**2*(v + 7)**2/7
Factor 4/3*b**2 + 0 + 2/3*b + 2/3*b**3.
2*b*(b + 1)**2/3
Let c(x) be the second derivative of -17*x**5/110 + 14*x**4/3 - 471*x**3/11 + 162*x**2/11 - 479*x. Factor c(q).
-2*(q - 9)**2*(17*q - 2)/11
Find i, given that 6/5 - 2*i**4 + 14/5*i - 12/5*i**3 + 4/5*i**2 - 2/5*i**5 = 0.
-3, -1, 1
Let 2 - 183*x + 62 + 269*x + 194*x - 9 + 25*x**2 = 0. Calculate x.
-11, -1/5
Let b be 1*14/(0 + 2). Suppose 9*r - 6 = b*r. Determine p so that -22/15*p + 28/15*p**4 + 16/5*p**2 + 4/15 - 52/15*p**r - 2/5*p**5 = 0.
2/3, 1
Let a(v) be the third derivative of -v**7/210 + 3*v**5/10 + 4*v**4/3 + 5*v**3/2 + 12*v**2 + 11. Factor a(p).
-(p - 5)*(p + 1)**2*(p + 3)
Let o = -37949/2 - -18975. Factor -2*b**2 + 0 + 0*b - o*b**3.
-b**2*(b + 4)/2
Let f(c) = 2*c**2 + 21*c + 12. Let d be f(-10). Let q(b) = 20*b**2 - 20. Let l(o) = -o**2 + 1. Let z(y) = d*q(y) + 36*l(y). Factor z(r).
4*(r - 1)*(r + 1)
Let s(t) = 12*t - 609. Let u be s(51). Factor -1/2*d**u + 0 - 3/2*d**2 - d.
-d*(d + 1)*(d + 2)/2
Let p(m) = -m**3 - 9*m**2 + m + 12. Let t be p(-9). Let u = 14 + 6. Let -o**2 + 4*o**2 - u*o**t + 0*o**2 + 3*o**4 + 14*o**3 = 0. What is o?
0, 1
Let m be ((-8)/(-6))/(-195 + 201). Factor 4/9*d + m*d**2 + 0.
2*d*(d + 2)/9
Factor 81*q**2 + 2*q**3 - 162*q**2 + q - 8*q - 19*q + 20 + 85*q**2.
2*(q - 2)*(q - 1)*(q + 5)
Suppose -2*n + 2*q = 4, -q + 3 + 1 = 0. Let o(t) be the third derivative of 0*t - 11/20*t**5 + 9/8*t**4 + t**3 + 0 + 2*t**n. Factor o(v).
-3*(v - 1)*(11*v + 2)
Let g be (-6)/(-18) + 4/3*2. Let s(n) be the third derivative of 1/100*n**5 - 1/30*n**4 + g*n**2 - 2/15*n**3 + 0*n + 0. Factor s(l).
(l - 2)*(3*l + 2)/5
Let q(m) = 199*m + 1594. Let t be q(-8). Factor -4/7*c + 2/7*c**t - 6/7.
2*(c - 3)*(c + 1)/7
Let h be (14/(-350))/(3/(-135)). Factor 24/5*d**2 - h*d + 8/5*d**4 - 22/5*d**3 + 0 - 1/5*d**5.
-d*(d - 3)**2*(d - 1)**2/5
Let j(y) = -6*y**2 - 20*y + 16. Let d(w) be the second derivative of w**4/6 + 7*w**3/6 - 5*w**2/2 + 20*w. Let q(h) = -16*d(h) - 5*j(h). Solve q(i) = 0 for i.
-6, 0
Let p(x) be the third derivative of 3/4*x**4 + 31*x**2 + 0 + 0*x**3 + 0*x + 1/20*x**5. Find n such that p(n) = 0.
-6, 0
Let k(c) be the first derivative of 5*c**3/6 + 25*c**2/2 + 40*c - 827. Factor k(w).
5*(w + 2)*(w + 8)/2
Let q(a) = 5*a**2 - 1. Let x(r) = 30*r**2 - 20*r - 165. Let b(g) = -5*q(g) + x(g). Factor b(p).
5*(p - 8)*(p + 4)
Let v(h) be the third derivative of -h**6/480 + 13*h**5/240 - 35*h**4/96 - 49*h**3/24 + 92*h**2. Factor v(b).
-(b - 7)**2*(b + 1)/4
Let n = 0 + 18. Suppose 5*r - 3*r - 4*w = n, r - 12 = 3*w. Factor -6*y**4 - r*y**5 + y**3 - y**3 + 3*y + y**2 + 5*y**2.
-3*y*(y - 1)*(y + 1)**3
Let n be (-20)/(-24)*-1*4/(-20). Let q(g) be the first derivative of -n*g**3 - 1/2*g**2 + 3 - 1/2*g. Suppose q(v) = 0. Calculate v.
-1
Suppose 2229701 + 5*a**5 + 129725*a**3 + 4148740*a**2 + 7913840*a + 536*a**4 + 1116*a**4 - 262*a**4 + 1663739 = 0. Calculate a.
-92, -1
Let q(u) be the second derivative of 10*u + 1/3*u**4 - 1/15*u**6 - 1/21*u**7 + 1/5*u**5 + 0 - u**2 - 1/3*u**3. Find x such that q(x) = 0.
-1, 1
Let s(w) be the third derivative of 0 + 3/2*w**4 + 1/4*w**5 + 0*w + 2*w**3 + 4*w**2. Factor s(x).
3*(x + 2)*(5*x + 2)
Let h(w) be the third derivative of 4/3*w**5 + 0*w + 0 - 12*w**2 - 26/15*w**6 - w**7 + 4*w**4 - 16/3*w**3 - 25/168*w**8. Determine z so that 