j).
2*j**3/3
Let u be (1 - (-8)/(-6))*-2. Suppose 0 - u*h**2 + 0*h = 0. Calculate h.
0
Let f(x) be the third derivative of x**6/120 + x**5/12 + x**4/8 - 3*x**3/2 + 3*x**2. Factor f(p).
(p - 1)*(p + 3)**2
Let l(n) be the first derivative of -49*n**5/5 + 35*n**4/2 + n**3 - 10*n**2 - 4*n - 14. Factor l(x).
-(x - 1)**2*(7*x + 2)**2
Let h(w) be the third derivative of w**7/630 - w**6/360 + w**4/8 + 4*w**2. Let r(x) be the second derivative of h(x). Factor r(b).
2*b*(2*b - 1)
Let x be -3 + (-3 - -7) + 0. Let d = x - -2. Determine t so that 0 + 0*t**2 + 2/9*t**d + 0*t = 0.
0
Let f = -122 - -188. Let w = 200/3 - f. Factor -w*s**2 - 2/3 + 4/3*s.
-2*(s - 1)**2/3
Let j = 41/7 - 61/14. Determine s so that -1/2*s**5 + 0 + 3/2*s**2 - 1/2*s**3 + s - j*s**4 = 0.
-2, -1, 0, 1
Let l(t) be the first derivative of -4*t**3/3 - 3*t**2 + 4*t - 1. Let m(r) = -12*r**2 - 18*r + 12. Let q = 9 - -8. Let f(n) = q*l(n) - 6*m(n). Solve f(i) = 0.
-2, 1/2
Factor -1/3*j**4 + 2/3*j**3 + 0*j + 0 - 1/3*j**2.
-j**2*(j - 1)**2/3
Let m(u) = -15*u**3 + 26*u**2 + 75*u + 34. Let d(r) = -3*r**3 + 5*r**2 + 15*r + 7. Let v(k) = -11*d(k) + 2*m(k). Factor v(s).
3*(s - 3)*(s + 1)**2
Let f be (-4)/(-18) + (2 - (-4)/(-18)). Let i(j) be the first derivative of 5/4*j**4 + f + 2/3*j**3 - 5/2*j**2 - 2*j. Factor i(p).
(p - 1)*(p + 1)*(5*p + 2)
Let d(u) be the second derivative of -5*u**7/42 + u**6/6 - 13*u. Find k such that d(k) = 0.
0, 1
Let z be (-10)/40 - 46/8. Let o(u) = -4*u**4 + 9*u**3 + 5*u - 6. Let v(g) = 5*g**3 + 11 + 9*g**4 + 2 - 24*g**3 - 11*g. Let r(l) = z*v(l) - 13*o(l). Factor r(x).
-x*(x + 1)**2*(2*x - 1)
Let p(c) be the first derivative of c**6/30 + 4*c**5/25 - c**4/4 + 68. Factor p(l).
l**3*(l - 1)*(l + 5)/5
Let x = 0 + 4. Suppose j - b + 2 = 0, -b = 5*j - x*b. Find u, given that -j*u**3 - 8*u + 0*u**3 + 0*u**3 - 3*u**3 + 16*u**2 = 0.
0, 2/3, 2
Factor -8*f + 20*f**2 + 8*f + 12*f.
4*f*(5*f + 3)
Suppose 2*m = 3*n, -n = -0*n - m - 1. Let g be 1 - n/(-12)*2. Factor -2/3*i**3 + g*i**4 + 2/3*i + 0 - 2/3*i**2.
2*i*(i - 1)**2*(i + 1)/3
Let y(z) be the third derivative of z**8/1680 - z**7/280 + z**6/180 + 7*z**3/6 - 2*z**2. Let m(n) be the first derivative of y(n). Factor m(j).
j**2*(j - 2)*(j - 1)
Find m such that 2/15*m**2 + 8/15 - 8/15*m = 0.
2
Let b(f) be the second derivative of -f**5/50 + f**3/5 + 2*f**2/5 - f. Factor b(a).
-2*(a - 2)*(a + 1)**2/5
Let s = -3819/7 - -546. Factor 3/7*p**4 - 6/7*p**2 + 0 + s*p**3 + 0*p.
3*p**2*(p - 1)*(p + 2)/7
Factor 340*s**3 + 45*s**2 + 5*s**4 + 10 + 35*s - 145*s**3 - 170*s**3.
5*(s + 1)**3*(s + 2)
Suppose 1/6*b**3 + 0 + 1/3*b**2 + 0*b - 1/6*b**5 - 1/3*b**4 = 0. What is b?
-2, -1, 0, 1
Let u(d) be the second derivative of 8*d**7/7 - 34*d**6/15 - 5*d**5 + 5*d**4 + 26*d**3/3 + 4*d**2 - 31*d. Solve u(y) = 0 for y.
-1, -1/3, -1/4, 1, 2
Let q be (306/476)/((-3)/(-4)). Factor 2/7*c**2 + 4/7 - q*c.
2*(c - 2)*(c - 1)/7
Let b be 3 - (-8 - -10)*(-1)/(-2). Factor -4/3*t + 0 + 2/3*t**b.
2*t*(t - 2)/3
Suppose -3*l + 19 = 2*i + 4, -6 = -4*l + 2*i. Let n(a) = -4*a - 8. Let w be n(-3). Factor -6*h + h + l*h - 2*h + h**2 + w.
(h - 2)**2
Let j = 17 + -17. Let t(d) be the first derivative of 2 + 0*d - 1/3*d**3 + j*d**2 - 1/20*d**5 + 1/4*d**4. What is k in t(k) = 0?
0, 2
Let g(m) = 23*m**4 - 62*m**3 + 48*m**2 - 12*m + 3. Let c(r) = r**4 + r**3 - r**2 - 1. Let k(l) = 2*c(l) + g(l). Suppose k(s) = 0. Calculate s.
1/5, 1
Let a = -131 - -131. What is t in 2/5*t - 2/5*t**3 + 0 + a*t**2 = 0?
-1, 0, 1
Let z be (-36)/((-4)/2) - 3. Let u be z/(-6)*(-24)/50. Factor u*x**3 + 0 + 6/5*x**2 + 2/5*x**4 + 2/5*x.
2*x*(x + 1)**3/5
Let z be 5/10 + (-5)/(50/4). Let a(v) be the second derivative of -z*v**4 - 2*v - 1/5*v**3 - 1/5*v**2 - 1/50*v**5 + 0. Suppose a(m) = 0. What is m?
-1
Let f(m) be the second derivative of -m**7/5 - 12*m**6/25 + 6*m**5/25 + 7*m**4/5 + 3*m**3/5 - 6*m**2/5 - 11*m. Find h such that f(h) = 0.
-1, 2/7, 1
Determine o so that 0*o + 0 - 2/11*o**3 - 4/11*o**2 = 0.
-2, 0
Let r be (1/(-2))/(5/(-5)). Factor 0 - 1/4*u - 1/4*u**3 - r*u**2.
-u*(u + 1)**2/4
Let b(g) be the first derivative of -g**7/2940 + 5*g**3/3 + 5. Let l(u) be the third derivative of b(u). Factor l(n).
-2*n**3/7
Let q(n) be the third derivative of 0*n + 0 - 11/360*n**5 - 1/36*n**3 - 1/144*n**6 - 7/144*n**4 + 5*n**2. Factor q(a).
-(a + 1)**2*(5*a + 1)/6
Suppose -3*t + 0 = -9. Let p - 2 + 6*p + 2*p**4 - 3*p - 2*p**t - 2*p**3 = 0. Calculate p.
-1, 1
Suppose -2*g - 30 - 6 = 4*h, h + 9 = 2*g. Let o be 7 + h - (-2 + -2). Find v, given that v**o + 3/4*v - 1/4 = 0.
-1, 1/4
Let y(c) be the second derivative of c**7/21 - 6*c**6/25 + 6*c**5/25 + 4*c**4/15 + 17*c + 2. Factor y(u).
2*u**2*(u - 2)**2*(5*u + 2)/5
Factor -20*h**3 - 6*h**4 - 12*h**3 - 64*h**2 + 2*h**4.
-4*h**2*(h + 4)**2
Let w(z) be the third derivative of -z**9/37800 + z**8/3360 - 2*z**7/1575 + z**6/450 + z**4/8 + 2*z**2. Let a(u) be the second derivative of w(u). Factor a(v).
-2*v*(v - 2)**2*(v - 1)/5
Let d(f) be the second derivative of f**7/84 - f**6/60 - 3*f**5/40 + 5*f**4/24 - f**3/6 + 12*f. Find l such that d(l) = 0.
-2, 0, 1
Let a(m) be the second derivative of -m**6/105 + m**4/42 + 10*m. Solve a(k) = 0 for k.
-1, 0, 1
Let d(a) = 2*a**5 - 8*a**4 - 2*a**3. Let w = 5 - 3. Let r(x) = -x**4 - 7*x**w + 7*x**2 + x**5. Let l(s) = -d(s) + 4*r(s). Solve l(u) = 0.
-1, 0
Let d(x) = -x**3 + 11*x**2 + 7*x. Let q(j) = -j**3 + 6*j**2 + 4*j. Let s = 6 - 11. Let v(o) = s*q(o) + 3*d(o). Solve v(w) = 0 for w.
-1, -1/2, 0
Suppose 4 = 4*k - 12. Let w be 2/(-3) - (-345)/180. Find d, given that -5/4*d**k - d**5 + 0 + w*d**2 + 1/4*d + 3/4*d**3 = 0.
-1, -1/4, 0, 1
Let g(a) = -a**4 + 5*a**3 - 4*a**2 + 3*a - 3. Let m(x) = -3*x**4 + 11*x**3 - 8*x**2 + 7*x - 7. Let f(h) = -7*g(h) + 3*m(h). What is l in f(l) = 0?
-2, 0, 1
Suppose -2 = -b - 0*b. Let f(n) be the first derivative of 1/5*n**5 - n**4 + 2*n**3 - b*n**2 - 3 + n. Factor f(v).
(v - 1)**4
Let k(a) be the first derivative of -3/32*a**4 + 3/4*a - 1/4*a**3 + 1 + 3/16*a**2. Factor k(p).
-3*(p - 1)*(p + 1)*(p + 2)/8
Let n be (-2034)/27 - (0 + 1). Let x = n - -77. Factor 0 + x*i - 1/3*i**2.
-i*(i - 2)/3
Let u(k) = 4*k + 1. Let z be u(1). Let v = 1 - 1. Factor 7*l**z + l**4 - 3*l**4 + v*l**4.
l**4*(7*l - 2)
Suppose 4*n = -n + 20. Factor 8*b - 8*b**3 + n*b**3 + 4 - 4*b**3 - 4*b**4.
-4*(b - 1)*(b + 1)**3
Let h(w) be the first derivative of -6/7*w**3 + 4/7*w**2 - 9/14*w**4 + 5 + 8/7*w. Suppose h(d) = 0. Calculate d.
-1, -2/3, 2/3
Let y(g) = -g**3 - 4*g**2 - 2*g + 5. Let t be y(-5). Let c be 15/28 + (-10)/t. Factor -c*f**5 - 2/7*f - 12/7*f**3 - 8/7*f**2 + 0 - 8/7*f**4.
-2*f*(f + 1)**4/7
Let a = -19/2 - -10. Factor -a + 5/2*t - 2*t**2.
-(t - 1)*(4*t - 1)/2
Let l = 21311/9 + -2371. Let a = -22/9 - l. Factor -4/3*t - a*t**2 - 2/3.
-2*(t + 1)**2/3
Suppose r = -0 + 2. Let o be (3/5)/((-3)/(-15)). Suppose 32/7*t**o + 0*t + 0 - 8/7*t**r + 18/7*t**5 - 6*t**4 = 0. What is t?
0, 2/3, 1
Suppose 2*k = -2*k + 32. Suppose 4*u - k = 16. Find l such that 32/3*l**3 + 16*l**2 + u*l + 2/3 = 0.
-1, -1/4
Let o = 29/7 - 27/7. Suppose -h = -3*h + 8. Find i, given that 0*i - o*i**h + 2/7*i**2 + 0 + 2/7*i**3 - 2/7*i**5 = 0.
-1, 0, 1
Let a(u) = 4*u**3 + 116*u**2 + 136*u - 16. Let c(q) = q**3 + 23*q**2 + 27*q - 3. Let y(i) = 3*a(i) - 16*c(i). Solve y(j) = 0.
-3, -2, 0
Let u(t) = -2*t**2 - 57*t - 177. Let m(g) = -5*g**2 - 170*g - 530. Let f(v) = 3*m(v) - 10*u(v). Factor f(y).
5*(y + 6)**2
Suppose -5*i + 4 = -3*i, -4*p - 2*i + 16 = 0. Let m = 61/114 - 2/57. Determine j, given that 0 - m*j**2 + 1/2*j**p + 0*j = 0.
0, 1
Suppose -97 + 109 = 6*p. Factor -7/2*b**3 - 1 - 8*b**p - 11/2*b.
-(b + 1)**2*(7*b + 2)/2
Suppose 10/7*w**2 + 8/7 + 16/7*w + 2/7*w**3 = 0. Calculate w.
-2, -1
Let k be -1*(-2 + -1 + 6). Let a be (-3)/1*(2 + k). Factor -w + 2*w**4 + 0*w**2 + w**a + w**2 - 3*w**4.
-w*(w - 1)**2*(w + 1)
Solve 0*b**4 + 3/7*b**3 - 3/7*b**5 + 0*b + 0 + 0*b**2 = 0.
-1, 0, 1
Let f(c) be the second derivative of -1/9*c**3 + 4/45*c**6 - 1/63*c**7 + 0 + c + 2/9*c**4 + 0*c**2 - 1/5*c**5. Factor f(t).
-2*t*(t - 1)**4/3
Let z = -5/6 - -17/18. Let t(d) be the first derivative of 2 + 0*d + z*d**3 - 1/6*d**2. Factor t(f).
f*(f - 1)/3
Let m(j) be the first derivative of -j**5/120 + j**4/16 - j**3/6 + j**2/2 + 5. Let t(h) be the second derivative of m(h). Determine u, given that t