 Factor -n**3 - 2 + 7*n - 2*n**5 - n + 6*n**4 + 0 - z*n**3 - 4*n**2.
-2*(n - 1)**4*(n + 1)
Let m(b) be the first derivative of -9 + 0*b - 10/3*b**3 + 1/64*b**4 + 1/480*b**5 - 1/2880*b**6 + 0*b**2. Let z(r) be the third derivative of m(r). Factor z(h).
-(h - 3)*(h + 1)/8
Suppose -85 = -f - 90. Let j(g) = -15*g**2 - 96*g - 402. Let d(m) = -8*m**2 - 48*m - 202. Let p(s) = f*j(s) + 9*d(s). Find b such that p(b) = 0.
-8
Let p(d) = -2*d**2 - 8*d - 4. Let l be p(-3). Factor -80*n - 52*n**3 - 16 + 20*n**5 + 6*n**4 - 115*n**2 + 22*n**4 - 24*n**2 + 15*n**l.
4*(n - 2)*(n + 1)**3*(5*n + 2)
Let l(s) be the second derivative of s**5/30 - s**4/6 - s**3/9 + s**2 + 27*s. What is v in l(v) = 0?
-1, 1, 3
Let n(g) be the second derivative of -g**6/15 + g**4/3 - g**2 + 10*g + 16. Factor n(r).
-2*(r - 1)**2*(r + 1)**2
Let j = 24958/9 + -2773. Solve -7/3*d**2 - 343/9 - 49/3*d - j*d**3 = 0.
-7
Let q(i) = i**3 - 10*i**2 - 7*i + 68. Let r be q(10). Let c be (-114)/152 - (-1 - r)/(-1). Let 3/4*s**2 + 3/4*s + c*s**3 + 1/4 = 0. Calculate s.
-1
Suppose -3*o = -u + 12, 21 = 5*u + 3*o - 5*o. Factor -4*y**2 - 3*y + 6*y - 5*y**2 - 105*y**u + 3*y**4 + 102*y**3 + 6.
3*(y - 2)*(y - 1)*(y + 1)**2
Let m be 2/(-15) - 7/(-14). Let x = m + -1/330. Suppose -8/11*h**3 + 14/11*h**5 + 28/11*h**2 - 6/11*h - x - 24/11*h**4 = 0. Calculate h.
-1, -2/7, 1
Let n(s) be the first derivative of -s**7/2100 - s**6/450 + s**5/300 + s**4/30 + 2*s**3/3 + 8. Let h(j) be the third derivative of n(j). Factor h(l).
-2*(l - 1)*(l + 1)*(l + 2)/5
Let j = 18721 - 74875/4. Determine l, given that -3 + j*l**3 + 9*l - 33/4*l**2 = 0.
2/3, 1, 2
Let x(i) = i**4 + 10*i**3 + 13*i**2 - 2. Let g(f) = 3*f**4 + 20*f**3 + 27*f**2 - 5. Let q(j) = -6*g(j) + 15*x(j). Factor q(n).
-3*n**2*(n - 11)*(n + 1)
Let l(w) be the third derivative of 0*w**3 + 0*w - 23*w**2 + 0 - 1/60*w**5 - 1/360*w**6 + 0*w**4. Solve l(z) = 0 for z.
-3, 0
Suppose 11*s - 18 = 2*s. Suppose 4*u - b + s = 1, b - 1 = -u. Suppose 1/5 + u*y - 1/5*y**2 = 0. Calculate y.
-1, 1
Let y(j) = -4*j**2 - 23*j - 3. Let z be y(-5). Let n = z - -9. Factor 4*t - 4/3 - 196/3*t**3 + n*t**2.
-(4*t + 1)*(7*t - 2)**2/3
Let b(s) be the first derivative of -8*s + 19 + 2/3*s**3 + 0*s**2. Determine y so that b(y) = 0.
-2, 2
Let l be (-1 + 1)/(3 - 0). Let c be (3 + l)*2/3. Determine z, given that 0*z**2 - 5*z**4 - 2*z**3 + 4*z**c + 3*z**4 = 0.
-2, 0, 1
Let o = 274 + -268. Let n(c) be the third derivative of 1/30*c**6 + 0*c + 0 - 4*c**2 + 1/3*c**5 - o*c**3 + 1/2*c**4. Find m such that n(m) = 0.
-3, 1
Let c(k) be the second derivative of -k**6/300 + 7*k**4/60 - 2*k**3/5 - 17*k**2 + 27*k. Let j(w) be the first derivative of c(w). Factor j(d).
-2*(d - 2)*(d - 1)*(d + 3)/5
Let w = -15728 + 15732. Factor -6/13*d**3 + 0*d**2 + 0*d + 2/13*d**w + 0.
2*d**3*(d - 3)/13
Let r(m) be the first derivative of -m**5/20 - m**4/16 + m**3/12 + m**2/8 - 34. Factor r(w).
-w*(w - 1)*(w + 1)**2/4
Let p(x) = 7*x + 34. Let g be p(-4). Let c(a) = 3*a - 18. Let f be c(g). Suppose -14/3*w**5 + 0*w + f - 8*w**4 - 2*w**3 + 4/3*w**2 = 0. What is w?
-1, 0, 2/7
Suppose 4*r + 19 = -u + 7, -4*r = 5*u + 28. Let m be (-3 + 0)*u/6. Solve -2*t**3 + t**3 + m*t**3 + t**3 + 2*t**4 = 0 for t.
-1, 0
Suppose 24 = 25*a - 26. Factor -3/4 - 1/12*w**3 - 1/4*w + 5/12*w**a.
-(w - 3)**2*(w + 1)/12
Let g(p) = 4*p**3 + 2*p**2 + 8*p - 2. Let u be (-5)/(-2)*(-288)/(-120). Let c(s) = -s**3 - s**2 - s + 1. Let w(a) = u*c(a) + g(a). Factor w(j).
-2*(j - 1)*(j + 1)*(j + 2)
Factor 10*t**2 - 54*t**2 + 15*t**2 + 18*t + 17*t**2 + 15*t**2 + 27.
3*(t + 3)**2
Determine m, given that 3/2*m**2 + 5 + 11/2*m = 0.
-2, -5/3
Suppose 2*w - 22 = -2*n, -2*w + 3*n + 15 = 3*w. Let h be ((-4)/w)/(7/(-21)). Factor 1/2*y**2 - 1/2*y**3 + 2*y - h.
-(y - 2)*(y - 1)*(y + 2)/2
Let b(q) be the first derivative of 23 + 8/15*q - 2/45*q**3 + 0*q**2. Factor b(g).
-2*(g - 2)*(g + 2)/15
Determine c so that 37*c**3 + 8*c**3 + 47 + 325*c**2 + 91*c - 36*c + 285*c + 13 = 0.
-6, -1, -2/9
Let h(n) = -10*n**3 + 8*n**2 - 2*n. Let r = 28 + -20. Let i(s) = 7*s + 11*s**3 - r*s**2 - 2*s + 0*s - 2*s - 1. Let a(j) = -5*h(j) - 4*i(j). Solve a(f) = 0.
-2/3, 1
Let u be (-102)/(-96) - (5 + 24/(-6)). Let b(s) be the second derivative of 0 + 0*s**3 - s + u*s**4 - 3/80*s**5 + 0*s**2. Suppose b(o) = 0. What is o?
0, 1
Suppose -4*o + 2*o + 14 = 0. Factor -19*k + 2*k**2 + o*k + 22 + 28 - 8*k.
2*(k - 5)**2
Determine q, given that 56*q**3 - 53*q**3 + 6*q**4 - 3*q**4 = 0.
-1, 0
Suppose -7*a**5 - 387*a + 588*a**2 - 346*a**3 + 26*a**5 + 108*a**4 - 22*a**5 + 96 - 56*a**3 = 0. Calculate a.
1, 32
Let l = 18370 + -91834/5. Factor 8/5*r + l - 12/5*r**2 - 2/5*r**3 + 2/5*r**4.
2*(r - 2)**2*(r + 1)*(r + 2)/5
Let t(c) be the third derivative of c**6/2160 + c**5/240 + c**4/72 + c**3 - 6*c**2. Let x(f) be the first derivative of t(f). Suppose x(u) = 0. What is u?
-2, -1
Suppose -24/7*r + 3/7*r**2 + 0 = 0. Calculate r.
0, 8
Let s(h) be the second derivative of -h**8/840 + h**7/420 + h**6/180 - h**5/60 - 11*h**3/6 - 3*h. Let y(z) be the second derivative of s(z). Factor y(l).
-2*l*(l - 1)**2*(l + 1)
Let m be (1/(-42))/(3 + (-70)/21)*8. Factor -2/7*d**3 - 10/7*d + 8/7*d**2 + m.
-2*(d - 2)*(d - 1)**2/7
Let y(p) = -p**3 - 13*p**2 + 16*p + 30. Let u = 65 - 79. Let x be y(u). Solve 1/3*k**x + 0 - 1/3*k = 0.
0, 1
Suppose -1 + 17/2*j**2 - 15/2*j = 0. What is j?
-2/17, 1
Let s = 0 - 2. Let b be (-2)/s - (-4)/((-6)/(-3)). What is a in 0*a**4 + 0 + 2/5*a**b + 0*a**2 - 2/5*a**5 + 0*a = 0?
-1, 0, 1
Let a(t) be the first derivative of -t**8/420 - t**7/210 - 11*t**3/3 + 10. Let q(l) be the third derivative of a(l). Factor q(z).
-4*z**3*(z + 1)
Suppose -75 = b + 4*b. Let r be (-5)/25 - 33/b. Find a, given that -3*a + 2*a - 26*a**2 + 29*a**2 - a**4 + a**3 - r + 0*a = 0.
-1, 1, 2
Let z be ((-24)/(-5))/3 + -1. Let k = -71844 + 71848. Suppose 6/5*t**2 - 3/5*t**5 + z + 9/5*t - 6/5*t**3 - 9/5*t**k = 0. What is t?
-1, 1
Let h(k) be the first derivative of k**6/6 + 7*k**5/5 + 9*k**4/2 + 20*k**3/3 + 4*k**2 + 22. Factor h(q).
q*(q + 1)*(q + 2)**3
Let m = -12 - -19. Let g(i) = i**3 - 41*i + 6 + 4*i**2 + m*i**4 + 41*i. Let x(p) = 15*p**4 + 2*p**3 + 9*p**2 + 13. Let k(r) = -13*g(r) + 6*x(r). Factor k(n).
-n**2*(n - 1)*(n + 2)
Suppose -4 - 8 = -3*s. Factor -5*f**2 + s*f - 500 + 64*f + 35*f - 3*f.
-5*(f - 10)**2
Let j(c) be the second derivative of c**6/75 - 9*c**5/100 + c**4/15 + 7*c**3/10 - 9*c**2/5 + 177*c. Find s, given that j(s) = 0.
-3/2, 1, 2, 3
Suppose 33/5*g - 3/5*g**3 - 18/5 - 12/5*g**2 = 0. What is g?
-6, 1
Let i = -4549 - -22789/5. Suppose -i*v + 2/5*v**2 + 242/5 = 0. What is v?
11
Let x = 76 + -20. Let o be -4*(5/(-14) + 16/x). What is t in -2/7*t**2 + 4/7*t - o = 0?
1
Let t = 49 - 47. Factor 13 - 4*u**2 - 6*u**t - 8 + 5*u**4.
5*(u - 1)**2*(u + 1)**2
Let w(y) be the third derivative of y**5/30 + 13*y**4/3 + 179*y**2. Determine s so that w(s) = 0.
-52, 0
Let k(o) be the third derivative of 5*o**7/28 + o**6/40 - 25*o**2 + 2. Determine n so that k(n) = 0.
-2/25, 0
Let s = -123 + 123. Let -1/8*m**4 + 0*m + 1/8*m**3 + 0 + s*m**2 = 0. What is m?
0, 1
Factor -86*a + 1800 + 28*a - 63*a + a + 2*a**2.
2*(a - 30)**2
Suppose 7*h = 239*h - 696. Determine i, given that -2/5*i**5 + 0*i**2 + 0 + 4/5*i**h + 2/5*i**4 + 0*i = 0.
-1, 0, 2
Find x, given that 19/5*x**3 + 0 - 6/5*x**4 + 0*x - 3/5*x**2 = 0.
0, 1/6, 3
Let p be (0 - (-88)/(-77))/((-8)/14). Factor -16/7*s**3 + 16/7*s - 24/7*s**p + 20/7 + 4/7*s**4.
4*(s - 5)*(s - 1)*(s + 1)**2/7
Let y(x) be the second derivative of x**7/3780 + x**6/135 + 4*x**5/45 + x**4/12 + 16*x. Let f(o) be the third derivative of y(o). Factor f(i).
2*(i + 4)**2/3
Let v(p) be the first derivative of -p**3/12 + 5*p**2/2 + 24*p - 76. Factor v(k).
-(k - 24)*(k + 4)/4
Let h = -919/182 - -135/26. Find u such that h*u**5 + 1/7*u**4 - 1/7*u**2 - 1/7*u**3 + 0*u + 0 = 0.
-1, 0, 1
Let g = -33 - -35. Suppose 4*x + 28 = g*l, 2*x = 4*x + 10. Find v such that 6/5*v**2 - 2/5*v - 6/5*v**3 + 2/5*v**l + 0 = 0.
0, 1
Let m(y) be the third derivative of y**8/84 + 4*y**7/105 - 7*y**6/30 + 4*y**5/15 + 766*y**2. Suppose m(k) = 0. What is k?
-4, 0, 1
Let k(m) = m**2. Let u be (-5 - -3)*2*2/(-4). Let w = 22 - 10. Let p(b) = -18*b**4 + 42*b**3 - 38*b**2 + 8*b. Let o(x) = u*p(x) + w*k(x). Factor o(a).
-4*a*(a - 1)*(3*a - 2)**2
Let k = -192 + 197. 