184 - a**6/260 + a**5/195 - 29*a**2. Factor k(h).
2*h**2*(h - 1)**2*(h + 2)/13
Suppose 2*t + 3*t - 20 = 0. Factor -f**5 + 2*f**t - f**3 + 46*f - 46*f.
-f**3*(f - 1)**2
Factor 3/2 - 3/4*f**2 + 1/2*f**3 - 11/4*f.
(f - 3)*(f + 2)*(2*f - 1)/4
Determine h, given that -33*h**3 + 1 - 6 + 4*h**4 + 13*h**3 + 9*h + 18*h - 11*h - 3*h**2 = 0.
-1, 1/2, 5
Let t(f) = 2*f - 21. Let g be t(12). Let c(a) = a**2 - 7. Let r be c(g). Factor -3*l + 3*l + 2*l - r*l**2.
-2*l*(l - 1)
Suppose -6 = 2*m + 20. Let s = m + 16. Suppose 13*y**2 - 9*y**2 + 11*y - s*y + 16*y**2 = 0. Calculate y.
-2/5, 0
Let v(b) be the second derivative of 0 - 13/80*b**5 - 1/24*b**4 + 0*b**3 + 0*b**2 - 24*b. Factor v(j).
-j**2*(13*j + 2)/4
Suppose 33*w = 5 - 5. Let f(v) be the second derivative of 0*v**4 + w + 0*v**2 + v + 0*v**5 + 0*v**3 + 1/30*v**6. Determine x, given that f(x) = 0.
0
Let y(c) be the third derivative of c**7/630 + c**6/360 - 7*c**5/180 - c**4/72 + c**3/3 + 47*c**2. Suppose y(q) = 0. Calculate q.
-3, -1, 1, 2
Let l(u) = -u**2 + 8. Let m(v) = 2*v**2 + 10*v - 49. Let b(t) = 3*l(t) + m(t). Find r such that b(r) = 0.
5
Let p = 3216 - 3214. Find y, given that -1/2 - 2*y**p - 2*y = 0.
-1/2
Let y(g) = -62*g**2 + 438*g + 219. Let u(n) = -33*n**2 + 218*n + 110. Let p(k) = 11*u(k) - 6*y(k). Factor p(x).
(x - 26)*(9*x + 4)
Suppose 10 = 20*s - 22*s, 2*s = -2*r - 10. Suppose -1/8*p**4 + 1/8 - 1/4*p**3 + 1/4*p + r*p**2 = 0. Calculate p.
-1, 1
Let w(t) = -t**2 + 7*t + 2. Let s be w(6). Suppose j + s*j = 18. Factor 0*l + 0 + 2/3*l**3 - 2/3*l**j.
2*l**2*(l - 1)/3
Let n(d) be the first derivative of 7/5*d**4 - 26 + 16/5*d + 4/15*d**3 - 16/5*d**2 - 4/5*d**5 + 2/15*d**6. Determine h so that n(h) = 0.
-1, 1, 2
Suppose 0 = 3*m + 31 - 100. Determine x so that -12 - 4*x**4 - 3*x**2 + 20*x**5 - m*x**5 - 24*x + 7*x**4 + 15*x**3 = 0.
-1, 2
Let s(a) be the third derivative of -a**6/12 + 14*a**5/15 - 7*a**4/3 - 16*a**3/3 - 80*a**2. Factor s(g).
-2*(g - 4)*(g - 2)*(5*g + 2)
Let b = 37 + -29. Suppose 4*a - j = 16, 4*a = -5*j - 0 - b. Factor -1/2*x**a + 0 - 1/4*x**4 - 1/4*x**2 + 0*x.
-x**2*(x + 1)**2/4
Let l(g) = 2*g. Suppose 3*j - 7 = 2. Let x be l(j). Determine i so that 8*i**2 - 6*i**2 - x*i**2 - 2*i + 2*i**3 + 4 = 0.
-1, 1, 2
Solve -184/7 - 4/7*r**2 + 188/7*r = 0.
1, 46
Solve 3355 + 4*h**2 + 3166 - 6389 + 136*h = 0 for h.
-33, -1
Let m be -6 + 165/20 + -2. Factor -1/8 - m*q - 1/8*q**2.
-(q + 1)**2/8
Let -15*c - 3/2*c**2 - 24 = 0. Calculate c.
-8, -2
Let z(b) be the first derivative of -b**7/140 + b**6/40 + b**5/40 - b**4/8 - 5*b**2/2 + 7. Let x(l) be the second derivative of z(l). Solve x(m) = 0 for m.
-1, 0, 1, 2
Determine v, given that -1/11*v**4 + 1/11*v**5 + 0*v + 0 + 1/11*v**2 - 1/11*v**3 = 0.
-1, 0, 1
Let u be 6 - (1 + -1 + 6). Suppose 5*v + 3 = 3*d - 6, 3*d + 2*v - 9 = u. Factor -1/2*y**d - 1/2*y**2 + 1/2 + 1/2*y.
-(y - 1)*(y + 1)**2/2
Let i(n) = -n + 23. Let s be i(15). Factor -4*c + 8*c**3 + 34*c**2 + 3*c**4 - 9*c**4 - s*c.
-2*c*(c - 3)*(c + 2)*(3*c - 1)
Let b(d) = 3*d**2 - d. Let a be b(-1). Suppose 0 = -a*x + x + 264. Find j such that -78*j**2 + x*j**2 - 2*j - 2*j = 0.
0, 2/5
Let p(i) = 71*i - 350. Let u be p(5). Suppose -5/6*g**4 - 1/6*g**3 - 2/3*g**u + 0*g + 0*g**2 + 0 = 0. Calculate g.
-1, -1/4, 0
Let v = -6 + 0. Let j be 22/(-33) + (-28)/v. Factor 2*b**4 - j*b + 0*b**3 + 0 - 2 + 4*b**3.
2*(b - 1)*(b + 1)**3
Suppose -3*h = -2*o + 23, -14*h - 7 = 2*o - 11*h. Let k(z) be the second derivative of 0 + z**3 - 8*z + 1/10*z**5 - z**2 - 1/2*z**o. Factor k(v).
2*(v - 1)**3
Let s(q) = 315*q**4 + 84*q**3 + 81*q - 54. Let t(f) = 45*f**4 + 12*f**3 + 12*f - 8. Let l(x) = 4*s(x) - 27*t(x). What is c in l(c) = 0?
-4/15, 0
Let g(s) be the first derivative of s**4/22 + 10*s**3/11 + 27*s**2/11 + 26*s/11 - 57. Let g(i) = 0. Calculate i.
-13, -1
Let r(m) be the first derivative of -3*m**5/40 + 15*m**4/16 - m**3 - 15*m**2/8 + 27*m/8 - 84. Find z, given that r(z) = 0.
-1, 1, 9
Let d be 7*1 - (14 - 19). Factor 11*v - 17*v + 3*v**2 - d*v.
3*v*(v - 6)
Suppose -2/5*q**4 + 2/5*q**2 + 4/5*q**3 + 0 - 4/5*q = 0. What is q?
-1, 0, 1, 2
Let a(w) be the third derivative of w**8/112 + 4*w**7/35 + 3*w**6/10 - 8*w**5/5 - 8*w**4 + 28*w**2. Factor a(u).
3*u*(u - 2)*(u + 2)*(u + 4)**2
Suppose 5*f = -7*z - 1, 2*z - 5*f - 7 = 6*z. Let q(p) be the first derivative of 1/10*p**4 + 0*p + z - 1/5*p**2 + 2/15*p**3 - 2/25*p**5. Factor q(g).
-2*g*(g - 1)**2*(g + 1)/5
Suppose 4*t + 1 + 3 = -d, 5*d + 4*t - 28 = 0. Factor 2*z**5 - d - 482*z + 8*z**3 + 510*z - 32*z**2 + 8*z**4 - 6*z**5.
-4*(z - 1)**4*(z + 2)
Let d(u) be the second derivative of -u**4/6 + 10*u**3/3 - 16*u**2 - 50*u - 2. Solve d(t) = 0 for t.
2, 8
Let r(y) be the first derivative of -3*y - 4/35*y**5 + 2/21*y**3 + 1/42*y**4 + 0*y**2 + 1/21*y**6 + 5. Let p(v) be the first derivative of r(v). Factor p(a).
2*a*(a - 1)**2*(5*a + 2)/7
Let t = 25 - 27. Let j be ((-8)/24)/(t/12). Factor -4 + p - p**j + 2*p + 2 + 0*p.
-(p - 2)*(p - 1)
Let o(m) be the first derivative of 5*m**6/12 - 11*m**5/3 + 13*m**4 - 24*m**3 - 33*m**2/2 - 1. Let a(t) be the second derivative of o(t). Solve a(i) = 0.
6/5, 2
Let y(g) be the first derivative of 76/3*g**3 + 4*g + 16*g**2 + 12*g**4 - 4. Factor y(j).
4*(j + 1)*(3*j + 1)*(4*j + 1)
Let g(o) be the third derivative of -o**7/105 + 13*o**6/60 - 31*o**5/15 + 32*o**4/3 - 32*o**3 + 155*o**2. Factor g(a).
-2*(a - 4)**2*(a - 3)*(a - 2)
Let o(k) be the second derivative of -k**7/126 - k**6/30 - k**5/60 + k**4/12 + k**3/9 + 51*k. Let o(b) = 0. Calculate b.
-2, -1, 0, 1
Let r(f) be the first derivative of -f**6/90 + 2*f**4/3 + 3*f**3 + 16. Let w(h) be the third derivative of r(h). Factor w(p).
-4*(p - 2)*(p + 2)
Suppose 1 = -4*m + 37. Suppose -m + 21 = 4*r. Solve -r*k**2 + 4*k - k + 3*k = 0 for k.
0, 2
Let -14/3*a + 2/3*a**2 + 8 = 0. Calculate a.
3, 4
Suppose w + 12 = 17. Let h(c) be the third derivative of 0*c**w + 1/40*c**6 + 0*c + 0 - c**2 + 0*c**3 + 0*c**4. Determine k so that h(k) = 0.
0
Factor -48*t**2 - 51 + 87*t + 37 + 3*t**3 - 28.
3*(t - 14)*(t - 1)**2
Let l(u) be the second derivative of u**7/14 - 3*u**5/2 - 5*u**4 - 15*u**3/2 - 6*u**2 + 114*u + 1. Factor l(h).
3*(h - 4)*(h + 1)**4
Let o be (-1)/(-3*(-3)/(-18)). Let y be -3*(5/((-10)/4) + 1). What is m in -1 + 3/4*m**y - 1/4*m**o - 2*m = 0?
-1, -2/3, 2
Let d(u) = -6*u - 26. Let o be d(-5). Find a, given that 3*a**5 - 50 - a - 7*a + 52 + 3*a - 10*a**o + 10*a**3 = 0.
-2/3, 1
Find m such that 2*m**4 - 8*m**2 - 6*m**3 + 26*m**3 - 631 + 503 - m**5 - 128*m = 0.
-2, 4
Let i = 272 - 1921/7. Let h = i - -55/14. Determine f, given that h*f**2 + 3/2 + 3*f = 0.
-1
Let s(z) be the second derivative of z**5/240 + z**4/24 + z**3/6 - 3*z**2 + 24*z. Let y(m) be the first derivative of s(m). What is i in y(i) = 0?
-2
Let q(r) be the second derivative of 37 + 2*r - 5/12*r**4 + 25/3*r**3 - 125/2*r**2. Factor q(a).
-5*(a - 5)**2
Let b(u) be the second derivative of -5/2*u**2 + 0 + 5/6*u**3 + 5/12*u**4 - 1/4*u**5 - 3*u. Find c, given that b(c) = 0.
-1, 1
Solve -f**4 + 2*f**3 - 76*f**2 + 37*f**2 + 43*f**2 - 3 - 2*f = 0 for f.
-1, 1, 3
Let j(q) = -10*q**3 - 58*q**2 + 78*q - 30. Let u(y) = -19*y**3 - 116*y**2 + 158*y - 58. Let c(l) = -7*j(l) + 4*u(l). Determine k, given that c(k) = 0.
-11, 1/3, 1
Let s(g) be the first derivative of g**3/15 - 9*g**2/10 - 22*g/5 - 47. Find j such that s(j) = 0.
-2, 11
Let y(j) be the first derivative of 2*j**5/35 + 3*j**4/14 - 10*j**3/7 + 17*j**2/7 - 12*j/7 - 343. Suppose y(z) = 0. Calculate z.
-6, 1
Let u be (-71 - 0/(-4))*-1. Suppose 46 = 2*t - 4*b, 5*t + 3*b - 2*b - u = 0. Solve 6 + 14*p - 18*p - t*p**2 + 13*p = 0 for p.
-2/5, 1
Let u(a) be the first derivative of -5*a**6/6 - 4*a**5 - 15*a**4/4 + 42. Factor u(g).
-5*g**3*(g + 1)*(g + 3)
Suppose 568*d - 563*d = 10. Let q(i) be the second derivative of 0*i**3 + d*i**2 - 1/3*i**4 + 9*i + 0. Find o such that q(o) = 0.
-1, 1
Let n(o) be the second derivative of 121*o**4/12 + 154*o**3/9 + 98*o**2/9 - 293*o. Factor n(d).
(33*d + 14)**2/9
Let m(p) be the first derivative of -3/5*p**4 + 6/5*p**2 - 18 - 2/15*p**3 + 2/5*p. Determine j so that m(j) = 0.
-1, -1/6, 1
Suppose 4*q = q + 9. Factor y**3 + 0*y**2 + 4*y**2 - 3*y**2 + 0*y**q.
y**2*(y + 1)
Let m(r) be the second derivative of 0 + 1/18*r**4 + 15*r - 1/60*r**5 - 1/18*r**3 + 0*r**2. Let m(q) = 0. Calcu