actor u(p).
-2*(p - 3)*(p - 1)**2/7
Let m(p) be the second derivative of -p**8/560 + p**7/280 + p**6/24 + 3*p**5/40 - 31*p**3/6 + 22*p. Let r(y) be the second derivative of m(y). Factor r(q).
-3*q*(q - 3)*(q + 1)**2
Let h be -7 + 2 + (-26)/(-2). Let p = h - 4. Find m such that -2/9*m**3 + 0 + 2/9*m**p - 2/9*m**2 + 2/9*m = 0.
-1, 0, 1
Factor 10 + 55/2*c + 25/4*c**2.
5*(c + 4)*(5*c + 2)/4
Let x(u) = u**2 + 1. Let l(z) = 11*z**2 + 50*z + 131. Let o = -78 + 77. Let k(b) = o*l(b) + 6*x(b). Factor k(n).
-5*(n + 5)**2
Let i(p) be the second derivative of -5/3*p**3 + 0 - 21*p - 2*p**2 - 2/3*p**4 - 1/10*p**5. Factor i(y).
-2*(y + 1)**2*(y + 2)
Determine s, given that 4/3*s + s**4 - 4/3 + 7/3*s**2 - 10/3*s**3 = 0.
-2/3, 1, 2
Suppose t + 5 = 4*s, 62*s + 11 = 3*t + 63*s. Let v(p) be the second derivative of -6*p + 0*p**2 + 0 + 0*p**t + 2/55*p**5 - 1/165*p**6 - 2/33*p**4. Factor v(m).
-2*m**2*(m - 2)**2/11
Let b(d) be the third derivative of -d**8/1344 - d**7/168 - d**6/80 + d**5/60 + d**4/12 - 596*d**2. Suppose b(r) = 0. What is r?
-2, 0, 1
Let a(f) = -f**3 - 2*f**2 - f + 1. Let o be a(-2). Let t be ((-20)/350*10)/((-2)/7). Solve t*g**2 - g - 1 + 4 - o*g**2 - g = 0 for g.
-3, 1
Suppose -6/11*x**4 + 34/11*x**3 - 68/11*x**2 + 56/11*x - 16/11 = 0. What is x?
2/3, 1, 2
Factor 6*i**2 + 23*i**3 - 33*i**3 + 13*i**3 + 3*i.
3*i*(i + 1)**2
Let y(t) be the third derivative of 0 - 1/2*t**3 + 3/80*t**5 + 1/40*t**6 - 6*t**2 + 0*t + 1/280*t**7 - 1/8*t**4. Solve y(k) = 0.
-2, -1, 1
Factor 2*a**3 - 36/5 - 13/5*a**2 - 1/5*a**4 - 12*a.
-(a - 6)**2*(a + 1)**2/5
Let s(c) = 11*c**2 - 536*c + 17956. Let w(i) = i**2. Let f(n) = -s(n) + 7*w(n). Factor f(l).
-4*(l - 67)**2
Let y be 6/57*(-912)/(-576). Factor -2/3*b**2 + y*b + 0 + 1/2*b**3.
b*(b - 1)*(3*b - 1)/6
Let s(m) be the second derivative of -m**5/60 - 11*m**4/24 + 2*m**3 - 17*m**2 - m - 8. Let k(q) be the first derivative of s(q). Factor k(a).
-(a - 1)*(a + 12)
Suppose -2 = 2*r - 10. Suppose 2*h = -2*x - r, 4*h = h - 2*x - 4. Suppose 0*u + h*u**2 + 2/3*u**4 - 2/3*u**3 + 0 = 0. What is u?
0, 1
Let y(q) be the second derivative of 4*q - 8/3*q**2 + 0 - 1/9*q**4 + 8/9*q**3. Determine s, given that y(s) = 0.
2
Let l = 490757/108 - 4544. Let c(r) be the third derivative of -5*r**2 + 0*r + 1/135*r**6 + 25/27*r**3 + 0 + l*r**4 - 8/135*r**5. Find k such that c(k) = 0.
-1, 5/2
Suppose -784 = -36*b - 712. Factor 2/9*n**4 + 0*n**b - 8/9*n + 2/3*n**3 + 0.
2*n*(n - 1)*(n + 2)**2/9
Let o(z) be the first derivative of -z**4/10 - 18*z**3/5 - 608. Let o(m) = 0. Calculate m.
-27, 0
Factor -1/2*w**3 - 121/2*w + 11*w**2 + 0.
-w*(w - 11)**2/2
Let s(c) be the third derivative of 2197*c**8/168 + 676*c**7/21 + 65*c**6/12 - 71*c**5/3 + 35*c**4/3 - 8*c**3/3 + c**2 - 39. Let s(u) = 0. Calculate u.
-1, 2/13
Solve -448/17*k - 64/17 + 30/17*k**4 + 268/17*k**2 + 214/17*k**3 = 0.
-4, -2/15, 1
Let m(q) = 6*q - 8. Let l(z) = -z**2. Let k(a) = -4*l(a) + 2*m(a). Factor k(w).
4*(w - 1)*(w + 4)
Let c(v) = 270*v**3 + 325*v**2 + 260*v - 35. Let s(i) = -45*i**3 - 54*i**2 - 44*i + 6. Let d(j) = 6*c(j) + 35*s(j). Determine h, given that d(h) = 0.
-2/3, 0
Let c(d) be the third derivative of -1/6*d**3 + 0 - 1/240*d**5 + 0*d + 1/24*d**4 + 13*d**2. Factor c(y).
-(y - 2)**2/4
Let l(s) = 3*s**5 - s**4 + s**3 + 22*s**2 - 18*s. Let h(t) = -2*t**5 - 15*t**2 + 12*t. Let m(z) = -7*h(z) - 5*l(z). Determine f so that m(f) = 0.
-1, 0, 1, 2, 3
Let g(m) be the first derivative of 2*m**2 + 1/2*m**4 + 2*m**3 + 0*m - 8. Solve g(k) = 0.
-2, -1, 0
Suppose -19*b - 9*b = -17 - 11. Factor 2*n - b + 5/4*n**2.
(n + 2)*(5*n - 2)/4
Let n(a) be the third derivative of 484*a**6/35 + 1468*a**5/105 + 379*a**4/84 + 2*a**3/21 + 589*a**2. Find x, given that n(x) = 0.
-1/4, -2/363
Let v(j) be the second derivative of 3/20*j**5 + 3*j**2 - 1/2*j**4 - 1/2*j**3 + 17*j + 0. Factor v(k).
3*(k - 2)*(k - 1)*(k + 1)
Let h(q) = -2*q**2 - 2*q - 1. Let l(w) = -w**3 - 8*w**2 + 5*w - 1. Let r(n) = -h(n) + l(n). Factor r(z).
-z*(z - 1)*(z + 7)
Suppose -2 - 24 = -5*b - 2*i, 21 = 3*b + 3*i. Let u(f) be the second derivative of 3/14*f**b + 1/7*f**2 - 2/7*f**3 + 0 - 4*f. Suppose u(x) = 0. Calculate x.
1/3
Let y(o) = o**3 + o**2 + 4. Let u be y(-4). Let d = 48 + u. Determine k so that 0 - 1/5*k**2 + 1/5*k**3 - 1/5*k + 1/5*k**d = 0.
-1, 0, 1
Let m(l) = 10*l**5 - 8*l**4 + 6*l**3 - 4*l**2 + 4*l. Let w(p) = 8*p**5 - 8*p**4 + 6*p**3 - 3*p**2 + 3*p. Let c(d) = -3*m(d) + 4*w(d). Factor c(s).
2*s**3*(s - 3)*(s - 1)
Suppose -2*d + 3*u - 4*u = -4, -u = -4. Suppose -r + 4 = -d*r. What is h in -17*h**r - 2 - 20*h + 8*h**2 + 9*h**4 + 4*h**5 + 16*h**3 + 10 - 8*h**4 = 0?
-1, 1, 2
Let q(s) be the second derivative of -2*s**7/105 - 8*s**6/45 + 19*s**5/30 - 5*s**4/6 + 11*s**3/3 - 10*s. Let z(c) be the second derivative of q(c). Factor z(u).
-4*(u + 5)*(2*u - 1)**2
Let g(j) be the second derivative of -4107*j**5/140 - 37*j**4/7 - 2*j**3/7 + j - 27. Factor g(d).
-3*d*(37*d + 2)**2/7
Suppose 228/7*k - 3249/7 - 4/7*k**2 = 0. Calculate k.
57/2
Factor -16 + 5*i - 26 + 52 - 10*i**2 - 5*i**3.
-5*(i - 1)*(i + 1)*(i + 2)
Suppose -15 = -6*i + 3*i. Suppose -i*t + 7*v + 16 = 3*v, 0 = -5*t - 5*v + 25. Solve -3 + 5 - r**3 - t*r**2 - 2*r**3 + r = 0 for r.
-1, 2/3
Solve 4/3*x**4 - 4*x**2 + 68/3*x**3 - 136/3 - 212/3*x = 0 for x.
-17, -1, 2
Let -32/13 - 2/13*s**3 + 0*s**2 + 24/13*s = 0. Calculate s.
-4, 2
Suppose 4*b - 2*b = 36. Factor -b*k**2 + 2*k**4 - 2*k + 13*k**2 - k**3 + 0*k.
k*(k - 2)*(k + 1)*(2*k + 1)
Let a = -222 + 224. Let d(h) be the second derivative of -1/18*h**3 - 1/20*h**5 - h - 1/6*h**a + 5/36*h**4 + 0. Suppose d(m) = 0. Calculate m.
-1/3, 1
Solve 51/7 + 1/7*r**3 - 1/7*r - 51/7*r**2 = 0 for r.
-1, 1, 51
Let t(i) = 3*i**2 + 39*i + 150. Let k(r) = -3*r**2 - 40*r - 149. Suppose -o + 12 = -5*o. Let a(w) = o*k(w) - 2*t(w). Factor a(n).
3*(n + 7)**2
Let t be (-44)/(-21) - ((-64)/84)/(-8). Factor 1/2*j**t - j + 1/2.
(j - 1)**2/2
Let d(x) = -x**3 + 10*x**2 - 7*x - 16. Suppose -24 = -4*h - 4*j, 4*h - h - 3*j - 36 = 0. Let u be d(h). Factor -u*q**2 + 6/11*q**3 + 24/11*q - 8/11.
2*(q - 2)*(q - 1)*(3*q - 2)/11
Let -2 + 36/19*s**2 - 40/19*s + 40/19*s**3 + 2/19*s**4 = 0. Calculate s.
-19, -1, 1
Let i(g) = g**4 - g**3 - g**2 - g - 1. Let z(n) = 18*n**4 - 9*n**3 - 18*n**2 - 3*n - 6. Let v(q) = -6*i(q) + z(q). Factor v(a).
3*a*(a - 1)*(a + 1)*(4*a - 1)
Let w(l) = -8*l**3 + 36*l**2 - 140*l + 157. Let y(o) = -o**3 - o - 1. Let h(u) = -w(u) + 5*y(u). Factor h(j).
3*(j - 6)*(j - 3)**2
Suppose 102*s - 789 = -161*s. Let -2/3*b**s + 0*b + 2/3*b**4 - 4*b**2 + 0 = 0. Calculate b.
-2, 0, 3
Let t(z) = -3*z**3 + 6*z**2 - 9. Let p(b) be the second derivative of -b**2/2 - 4*b. Let r be (3 - 3 - -1) + -2. Let f(o) = r*t(o) + 9*p(o). Factor f(c).
3*c**2*(c - 2)
Let k(p) be the second derivative of -p**7/35 + p**6/15 + 11*p**5/50 - 3*p**4/10 - 16*p**3/15 - 4*p**2/5 - 6*p + 4. Solve k(t) = 0.
-1, -1/3, 2
Suppose 42 + 2*p + 2*p**5 - 19 + 3*p**4 - 5*p**4 - 25 + 4*p**2 - 4*p**3 = 0. What is p?
-1, 1
Suppose 22/15*v**2 - 2/15*v**3 - 4/3*v + 0 = 0. What is v?
0, 1, 10
Suppose -17 = 4*x - 5*w, x + 4*w - 28 = -6. Let 1 + 7 - j**2 - 6 - j**x = 0. What is j?
-1, 1
Let a(k) be the second derivative of 19*k**6/20 + 279*k**5/40 + 71*k**4/4 + 15*k**3 - 6*k**2 - 11*k + 2. Find p such that a(p) = 0.
-2, -1, 2/19
Let a be (-4)/10*1555/(-5598). Determine o, given that -a*o**3 + 8/9*o - 4/3 + 1/9*o**2 = 0.
-3, 2
Let p(c) be the third derivative of -c**7/1260 - 11*c**6/720 + c**5/9 - 7*c**4/36 - 7*c**2 - 3*c. Factor p(d).
-d*(d - 2)*(d - 1)*(d + 14)/6
Let r = 24/55 + -2/55. Let n be (-2)/(-13) + (-5)/65*2. Factor k**5 - 7/5*k**4 + 0 + 0*k**2 + n*k + r*k**3.
k**3*(k - 1)*(5*k - 2)/5
Let k(p) be the second derivative of -p**4/54 + 5*p**3/27 + p - 6. Factor k(c).
-2*c*(c - 5)/9
Let h(o) be the first derivative of o**6/6 - 8*o**5/5 + 11*o**4/2 - 28*o**3/3 + 17*o**2/2 - 4*o + 60. Factor h(k).
(k - 4)*(k - 1)**4
Factor -82 + 26*u**2 - 5*u + 4*u**2 + 52 + 5*u**3.
5*(u - 1)*(u + 1)*(u + 6)
Suppose k = -5*w + 4*k + 23, -5 = -w + k. Suppose -3*u**3 - u**2 + 2*u**w - 3*u**4 - 5*u**4 + 4*u**2 = 0. What is u?
-1, 0, 1/2
Let a(s) = -s**3 - 10*s**2 + 3*s + 108. Let m be a(-9). Factor m + 12/5*t**2 - 2/5*t.
2*t*(6*t - 1)/5
Suppose -2*i + 5*a + 15 = 3*i, -9 = -3*i - 5*a. Let o(d) = 4*d - 10. Let p be o(i). 