-2*k + 6, -4*q - 20 = -4*k. Determine h so that 2/9 + 2/9*h**4 + q*h**3 - 4/9*h**2 + 0*h = 0.
-1, 1
Let y(p) = p**3 + p. Let f(i) = -4*i**5 + 6*i**3 - 6*i. Suppose 3*a + 4 = 7*a. Let j(l) = a*f(l) + 2*y(l). Factor j(h).
-4*h*(h - 1)**2*(h + 1)**2
Let w(b) be the third derivative of -b**7/168 - 5*b**6/144 - 5*b**4/8 - b**2 + 2*b. Let q(l) be the second derivative of w(l). Factor q(h).
-5*h*(3*h + 5)
Let n(z) be the first derivative of -z**8/420 + 4*z**7/525 - 2*z**5/75 + z**4/30 - 13*z**2/2 - 13. Let h(g) be the second derivative of n(g). Factor h(r).
-4*r*(r - 1)**3*(r + 1)/5
Let f be -5 + (15/4)/((-132)/(-176)). Factor 1/3*w**4 + f + 5/3*w**2 - 2/3*w - 4/3*w**3.
w*(w - 2)*(w - 1)**2/3
Let t(h) be the second derivative of h**5/90 + 2*h**4/27 + 102*h. Determine g so that t(g) = 0.
-4, 0
Suppose -4*w = 2*o + 15 + 5, 5*w = -25. Let -2/3*c**2 + 4/3*c + o = 0. Calculate c.
0, 2
Let a be 2 - (0 + -2 + 98). Let w = -92 - a. Determine x so that -x + 1/3*x**w + 2/3 = 0.
1, 2
Suppose 8/5*z**3 - 4/5*z**4 - 72/5*z + 36/5 + 32/5*z**2 = 0. Calculate z.
-3, 1, 3
Let q(d) = d - 8. Let h be q(10). Factor 7*n**h + 5 + 7*n**2 - 13 + 0*n**2 + 6*n**3.
2*(n + 1)*(n + 2)*(3*n - 2)
Let r(x) be the first derivative of 0*x**4 + 0*x**2 + 4/5*x**5 - 21 - 4/3*x**3 + 0*x. Determine o, given that r(o) = 0.
-1, 0, 1
Let r(q) = -7*q. Let k = -12 - -10. Let c be r(k). Determine f, given that -18 - 6*f + 2*f**3 + 0*f**3 + c = 0.
-1, 2
Let c = -66 + 68. Let g be 0/((-2)/(c/2)). Let -1/4*l**2 + g - 1/2*l**3 + 1/4*l**4 + 1/2*l = 0. What is l?
-1, 0, 1, 2
Let y = -174 + 1568/9. Let d(i) be the first derivative of -1/15*i**5 - 2/9*i**6 - 2/3*i**2 - 2 - 1/3*i + y*i**3 + 2/3*i**4. Let d(o) = 0. What is o?
-1, -1/4, 1
Let x(m) be the first derivative of -1/8*m**3 + 9/4*m + 13 + 3/16*m**2. Factor x(f).
-3*(f - 3)*(f + 2)/8
Solve -294*f**2 - 219*f**2 - 4*f**3 + 8836 - 8978*f + 141*f**2 + 518*f = 0 for f.
-47, 1
Factor -278 + 368 + 65*i**2 - 254*i + 80*i - 421*i.
5*(i - 9)*(13*i - 2)
Let v(a) = 2*a - 1. Let p be v(2). Suppose 79*u - 53*u = 54*u - 56. Factor 2/13*g**p + 4/13*g**u - 8/13*g - 16/13.
2*(g - 2)*(g + 2)**2/13
Let t(u) be the second derivative of -u**6/60 + 7*u**5/120 + u**4/72 - 7*u**3/36 + u**2/6 + 90*u. Suppose t(r) = 0. Calculate r.
-1, 1/3, 1, 2
Suppose -7*m + 8*m + 35 = 0. Let n be (-1 - m/(-7)) + 6. Factor n*q - 2/3*q**2 + 2/3*q**5 + 0 + 2*q**3 - 2*q**4.
2*q**2*(q - 1)**3/3
Let g(h) be the third derivative of -h**7/210 + 7*h**6/120 - h**5/4 + 13*h**4/24 - 2*h**3/3 + 11*h**2. Factor g(q).
-(q - 4)*(q - 1)**3
Determine a, given that -8/5*a**4 + 26/5*a + 6*a**3 - 42/5*a**2 - 6/5 = 0.
3/4, 1
Suppose 7 - 37 = -10*l. Let o(a) be the first derivative of 8/7*a + 64/21*a**l + 24/35*a**5 - 5 - 2*a**4 - 18/7*a**2 - 2/21*a**6. Let o(p) = 0. What is p?
1, 2
Let v(o) = -3*o**3 - 69*o - 6 + 55*o**2 - 12 + 27*o - 18*o**2. Let k(r) = r**3 + r**2. Let f(b) = 3*k(b) - v(b). Factor f(d).
2*(d - 3)**2*(3*d + 1)
Let z(r) be the second derivative of -r**4/60 - 3*r**3/2 + 47*r**2/5 - r - 212. Factor z(t).
-(t - 2)*(t + 47)/5
Let h(o) be the second derivative of -5*o**7/42 + o**6/2 - o**5/2 + 2*o - 69. Factor h(b).
-5*b**3*(b - 2)*(b - 1)
Let h be (-3 + (-45)/(-10))/(2/4). Let n(o) be the second derivative of 0*o**2 + 0 - 7*o - 1/40*o**5 + 1/12*o**4 - 1/12*o**h. Factor n(r).
-r*(r - 1)**2/2
Let l(t) be the third derivative of -t**8/420 + 4*t**7/105 + 7*t**6/75 - 32*t**5/75 - 13*t**4/30 + 44*t**3/15 - 148*t**2 + 3. Solve l(m) = 0.
-2, -1, 1, 11
Let h(j) be the third derivative of 9*j**6/200 + 47*j**5/100 + 8*j**4/5 + 6*j**3/5 + 87*j**2 - 1. Factor h(g).
3*(g + 2)*(g + 3)*(9*g + 2)/5
Let f(u) be the first derivative of 0*u**2 - 4/35*u**5 - 4/21*u**3 + 2/7*u**4 - 47 + 0*u. Factor f(r).
-4*r**2*(r - 1)**2/7
Suppose -2 = 3*u - 4*u. Suppose u = 2*p - 4. Suppose -5*l**5 + 13*l**p - 59*l + 35*l**4 - 103*l**3 + 19*l + 100*l**2 = 0. What is l?
0, 1, 2
Let x = -28599 + 486281/17. Suppose x + 28/17*a + 2/17*a**2 = 0. What is a?
-7
Let b be (-12*1)/(-4 + 3). Suppose b*j + 3 = 13*j. Determine q so that 4*q - 3*q - 6*q + j*q + q**2 = 0.
0, 2
Let s(u) be the first derivative of -25*u**4/4 - 565*u**3/3 - 410*u**2 + 420*u - 89. Factor s(j).
-5*(j + 2)*(j + 21)*(5*j - 2)
Suppose 9*a - 4*a + 5*x = -15, 0 = -3*x - 15. Find w such that -2/5*w**4 + 6/5 - 8/5*w - 4/5*w**a + 8/5*w**3 = 0.
-1, 1, 3
Suppose 5*x + 5*k - 20 = 0, -3*k + 9 + 7 = 5*x. Let m(n) be the second derivative of 0 + 3*n - 3/20*n**5 + 6*n**x - 4*n**3 + 5/4*n**4. Factor m(y).
-3*(y - 2)**2*(y - 1)
Let l(j) be the third derivative of j**5/540 - j**4/27 + 21*j**2 - 2. Determine h so that l(h) = 0.
0, 8
Let y(w) be the second derivative of w**4/8 - 15*w**3/2 + 87*w**2/4 + 48*w - 1. Factor y(u).
3*(u - 29)*(u - 1)/2
Let n(p) be the first derivative of -p**5/10 - 5*p**4/4 - 16*p**3/3 - 8*p**2 - 31. Suppose n(k) = 0. Calculate k.
-4, -2, 0
Let z(u) be the third derivative of 5*u**8/336 + u**7/14 + u**6/24 - u**5/4 - 5*u**4/12 + u**2. Suppose z(p) = 0. What is p?
-2, -1, 0, 1
Let n(b) be the second derivative of b**6/30 + b**5/40 - 19*b**3/6 - 14*b. Let o(l) be the second derivative of n(l). Let o(y) = 0. What is y?
-1/4, 0
Factor 10/7*v**2 + 0 - 4*v + 2/7*v**3.
2*v*(v - 2)*(v + 7)/7
Suppose 0 = -53*v + 62*v. Factor 4/13*n**2 + 6/13*n**3 + 0 + v*n.
2*n**2*(3*n + 2)/13
Let d(o) = -o**3 + 40*o**2 - 38*o - 34. Let j be d(39). Let r(q) be the first derivative of 1 + 9*q + 3/2*q**4 - 4*q**3 - 3*q**2 + 3/5*q**j. Factor r(w).
3*(w - 1)**2*(w + 1)*(w + 3)
Factor -14/3*g**2 - 16/3 - 2/3*g**3 - 28/3*g.
-2*(g + 1)*(g + 2)*(g + 4)/3
Suppose -19*q - 19 = -95. Let c(d) be the first derivative of -q + 1/11*d**2 + 0*d + 2/33*d**3. Factor c(f).
2*f*(f + 1)/11
Suppose 5*t - 2*r = -0*r + 16, -2*t = 4*r - 16. Let y be (3 - 6)*t/(-6). Solve -y*w**4 - w**4 - w**4 + 4*w**3 = 0 for w.
0, 1
Let u(d) be the third derivative of d**6/160 + d**5/10 - 9*d**4/32 - 25*d**2 + 4*d. Let u(x) = 0. What is x?
-9, 0, 1
Let 4/3*k**2 - 24 + 68/3*k = 0. What is k?
-18, 1
Let m(d) be the third derivative of -d**7/1260 + d**6/180 - d**4/9 - 20*d**3/3 + 31*d**2. Let x(v) be the first derivative of m(v). Factor x(c).
-2*(c - 2)**2*(c + 1)/3
Let m(l) = 188 - 188 + l. Let v(w) = w**2 - 6*w + 2. Let o(q) = 18*m(q) + 2*v(q). Find a, given that o(a) = 0.
-2, -1
Let b(t) = -2*t + 4. Let l be b(3). Let m be ((-6)/7)/(l/14). Factor 15 + 2*n**2 + m*n - 15.
2*n*(n + 3)
Let o(q) be the third derivative of q**6/72 + q**5/18 + 5*q**4/72 + 13*q**2 + 1. Find b such that o(b) = 0.
-1, 0
Suppose j**3 - 255*j - 2*j**3 + 28*j**2 - 253*j**2 - 50 - 19*j**3 = 0. What is j?
-10, -1, -1/4
Let m be -11 - (-190)/375*5*5. Factor -1/3*j**4 - m*j**2 + 0*j + 2*j**3 + 0.
-j**2*(j - 5)*(j - 1)/3
Let u(a) be the first derivative of -a**5/15 - 2*a**4/3 - 4*a**3/3 - 278. Suppose u(s) = 0. Calculate s.
-6, -2, 0
Find r such that -13/2*r**4 + 33*r + 4 + 95/2*r**2 + 12*r**3 = 0.
-1, -2/13, 4
Let f(v) = -v**3 + 24*v**2 - 3*v + 71. Let m be f(24). Let d be (10/45)/(m/(-3)). Solve 0 + 1/6*g**3 + d*g + 2/3*g**2 = 0.
-2, 0
Let d be 16/6*(40/16)/5. Factor -4/3*t**2 + 0*t**3 + d*t**4 + 2/3*t + 0 - 2/3*t**5.
-2*t*(t - 1)**3*(t + 1)/3
Suppose 0 = -p + 3*p - 4. Factor 2*q**2 - 2*q - 4*q + 2*q + 2*q**p.
4*q*(q - 1)
Factor -38/15*j**2 + 0 - 2/15*j**3 - 68/15*j.
-2*j*(j + 2)*(j + 17)/15
Factor -4*p - 2/3*p**2 - 10/3.
-2*(p + 1)*(p + 5)/3
Let l = 29 - 23. Suppose p = -l*p + p. What is h in 2/3*h**4 + p + 2/3*h + 2*h**3 + 2*h**2 = 0?
-1, 0
Let a(f) = 13*f - 1467. Let d be a(113). Let h = -125/3 + 42. Factor -h - 2/3*p - 1/3*p**d.
-(p + 1)**2/3
Let o(z) = z**2 + 6*z + 4. Let h be o(-6). Let g(j) be the first derivative of -10/3*j**3 + 5/6*j**6 + 0*j**h + 2*j**5 - 10 + 0*j - 5/2*j**2. Factor g(l).
5*l*(l - 1)*(l + 1)**3
Let l(j) be the first derivative of -11 - 1/24*j**6 + 1/6*j**3 - 5/16*j**4 + 0*j**2 + 0*j + 1/5*j**5. Factor l(r).
-r**2*(r - 2)*(r - 1)**2/4
Suppose 4*u = 4*s - s - 2, -4*u + 10 = 3*s. Suppose 10/3*g**s - 14/9*g**3 + 2/9*g**4 - 26/9*g + 8/9 = 0. What is g?
1, 4
Solve 13 + 8 + 5*u + 15*u + 3*u**2 + 8*u - 4*u = 0 for u.
-7, -1
Let b(y) = -y**4 + 2*y**2 + y - 1. Let z(r) = 7*r**4 - 6*r**3 - 10*r**2 + 3*r + 5. Let k(t) = 5*b(t) + z(t). Factor k(v).
2*v*(v - 2)**2*(v + 1)
Solve 492*y**3 + 971 + 24*y**2 - 24*y**4 - 75*y**5 - 587 - 6*y**4 - 768