1*m**2 - 35*m + 107. Let x(o) = 5*o**2 + 15*o - 53. Let h(i) = -3*w(i) - 7*x(i). Solve h(c) = 0 for c.
-5, 5
Let 16/3*f**4 + 16*f**5 - 8*f**2 - 68/3*f**3 + 8/3 + 20/3*f = 0. Calculate f.
-1, -1/2, 2/3, 1
Find z, given that -104/3*z - 4/3*z**2 - 64 = 0.
-24, -2
Let n(j) be the second derivative of j**6/540 - j**4/108 + 7*j**2/2 + 24*j. Let b(t) be the first derivative of n(t). Let b(g) = 0. Calculate g.
-1, 0, 1
Find p, given that -68/3*p**3 + 4/3*p**4 + 68/3*p + 20*p**2 - 64/3 = 0.
-1, 1, 16
Suppose 0 = -2*n + 5*i - 6, -4*i = -3 - 5. Suppose 2*f - 6 = -2*l, 5*l + f - 3*f = 8. Factor -264*d - 3*d**l + 254*d + 15 - n*d**2.
-5*(d - 1)*(d + 3)
Let k = 2654 + -273364/103. Let y = 99/206 - k. Factor -1 + y*l + 1/2*l**2.
(l - 1)*(l + 2)/2
Let z(v) be the third derivative of 4*v**7/35 - v**6/6 + 11*v**5/120 - v**4/48 - 41*v**2. Factor z(k).
k*(3*k - 1)*(4*k - 1)**2/2
Let s(g) be the second derivative of 3/5*g**2 + 26*g - 2/15*g**3 + 0 - 1/30*g**4. Let s(x) = 0. What is x?
-3, 1
Let p(s) be the second derivative of -1/3*s**3 - 3*s - 5/6*s**4 + s**2 + 0 - 3/10*s**5. Let p(u) = 0. What is u?
-1, 1/3
Let w = 9567 - 9567. Solve -16/5*t**2 + w*t + 0 + 4/5*t**4 + 2/5*t**5 - 8/5*t**3 = 0 for t.
-2, 0, 2
Let d(z) be the first derivative of 2*z**5/35 + 2*z**4/7 - 2*z**3/21 - 4*z**2/7 - 367. Determine p, given that d(p) = 0.
-4, -1, 0, 1
Factor 0*b**2 + 32*b - 26*b - 38*b - 4*b**2 + 27 + 9.
-4*(b - 1)*(b + 9)
Find q, given that -28 - 75*q**2 - 42*q**5 - 3*q**3 + 4*q**3 + 8*q**4 - 6*q**3 + 88*q + 15*q**4 + 39*q**5 = 0.
-2, 2/3, 1, 7
Let d be (-8)/(-3) + (-12)/(-36). Suppose -6*s = -3*s + 4*k + d, -k = s. Determine b so that b**2 + b**2 - 2*b**4 + 2*b**s - 2*b + 0*b**2 + 0*b**4 = 0.
-1, 0, 1
Suppose -5*b = 3*u - 167, -3*b + 4*b = -3*u + 151. Let h be -3 - 2 - (-301)/u. Factor -2/7*c**2 + 0*c + h.
-2*(c - 2)*(c + 2)/7
Let f(n) be the first derivative of -n**6/24 + n**5/5 - 5*n**4/16 + n**3/6 - 34. Determine l, given that f(l) = 0.
0, 1, 2
Determine n so that -1/4*n**2 - 1936 + 44*n = 0.
88
Find x, given that 128/9 + 34/9*x**2 - 2/9*x**3 - 160/9*x = 0.
1, 8
Let a = 518/5 - 3621/35. Find s, given that 2/7*s**2 - 1/7*s**4 + 0*s**3 - a + 0*s = 0.
-1, 1
Factor 9/5*m**4 + 0*m + 0 + 27/5*m**2 + 27/5*m**3 + 1/5*m**5.
m**2*(m + 3)**3/5
Let s(a) be the first derivative of 5 - 1/40*a**5 - 1/180*a**6 - 1/36*a**3 + 2*a - 1/24*a**4 + 0*a**2. Let m(u) be the first derivative of s(u). Factor m(z).
-z*(z + 1)**3/6
Let n = -387 - -393. Let t(c) be the first derivative of 0*c**3 - 1/5*c**5 - 1/12*c**n + 0*c + 1 + 0*c**2 - 1/8*c**4. Factor t(z).
-z**3*(z + 1)**2/2
Let d = -20007 - -20009. Determine p, given that 512/7 + 2/7*p**d + 64/7*p = 0.
-16
Suppose -42*x - 17*x + 118 + 177 = 0. Find w, given that -2/9 + 1/3*w - 4/9*w**3 + 1/9*w**x + 0*w**4 + 2/9*w**2 = 0.
-2, -1, 1
Let a = 1872 - 1870. Factor 75/2 + 15*t + 3/2*t**a.
3*(t + 5)**2/2
Let x(l) be the second derivative of l - 7/30*l**7 + 0 + 0*l**2 + 17/15*l**4 - 28/25*l**6 - 2/5*l**3 - 39/100*l**5. Let x(c) = 0. Calculate c.
-3, -1, 0, 2/7
Suppose -29 = -7*q - 8. Let c(z) be the first derivative of -9/5*z**5 + 4*z**q + 0*z**2 + z**6 - 3*z - 3/2*z**4 - 1. Factor c(f).
3*(f - 1)**3*(f + 1)*(2*f + 1)
Let y(u) be the third derivative of -u**6/600 + u**5/30 - 10*u**2 + 21. Factor y(f).
-f**2*(f - 10)/5
What is i in -13*i - 3*i**2 + 9*i + 6 + 0*i + 7*i = 0?
-1, 2
Let a(r) be the second derivative of r**6/840 - r**5/420 - r**4/84 - 7*r**2/2 + 4*r. Let m(k) be the first derivative of a(k). Solve m(b) = 0 for b.
-1, 0, 2
Factor 0 + 3/4*g**4 - 3/8*g + 0*g**3 + 3/8*g**5 - 3/4*g**2.
3*g*(g - 1)*(g + 1)**3/8
Let b be (2 + (-1 - -1))*31/((-248)/(-20)). Solve -2/7*h**2 + 0 + 0*h - 6/7*h**3 - 2/7*h**b - 6/7*h**4 = 0 for h.
-1, 0
Let q(k) be the first derivative of -k**5/25 + 2*k**4/5 - 11*k**3/15 - 4*k**2/5 + 12*k/5 + 81. Find h, given that q(h) = 0.
-1, 1, 2, 6
Let t(y) be the first derivative of y**6/90 + y**5/5 + 5*y**3 + 12. Let o(c) be the third derivative of t(c). Factor o(d).
4*d*(d + 6)
Let r(s) = -5*s - 51. Let n be r(-11). Factor -2*c**3 + 60*c - 10*c**3 + 0*c**4 + 17 + 4*c**n - 28*c**2 + 55.
4*(c - 3)**2*(c + 1)*(c + 2)
Let u(w) be the third derivative of w**8/2016 + w**7/420 - w**6/360 - w**5/60 + w**4/144 + w**3/12 + 3*w**2 + 19*w. Suppose u(n) = 0. What is n?
-3, -1, 1
Let k(o) = -o**2 - 34*o + 80. Let j be k(-36). Suppose 0 = -a - 4*s - 9, -4*s - j = 4. Factor 0 - 2/5*m**4 + 6/5*m**2 + 4/5*m + 0*m**a.
-2*m*(m - 2)*(m + 1)**2/5
Let d(a) = a**3 - 8*a**2 + 12*a. Let g be d(6). Let z(n) be the second derivative of 0*n**3 + 1/66*n**4 + g + 2*n - 4/11*n**2. Factor z(p).
2*(p - 2)*(p + 2)/11
Let v(o) = 8*o**2 + 47*o - 55. Let u(y) = 7*y**2 + 48*y - 55. Let b(h) = 3*u(h) - 2*v(h). Factor b(i).
5*(i - 1)*(i + 11)
Let j(v) be the third derivative of -5/6*v**4 + 1/105*v**7 + 37*v**2 + 0*v + 0 - 1/10*v**6 + v**3 + 2/5*v**5. Factor j(a).
2*(a - 3)*(a - 1)**3
Let a(n) be the third derivative of -n**5/540 - 17*n**4/108 - 289*n**3/54 - 64*n**2. Determine j so that a(j) = 0.
-17
Let w(g) be the first derivative of 2*g**4 + 2 + 1/60*g**6 + 0*g + 3/10*g**5 - 3/2*g**2 + 16/3*g**3. Let y(q) be the second derivative of w(q). Factor y(c).
2*(c + 1)*(c + 4)**2
Factor -m**3 - 7*m**2 + 2*m + 11*m**2 - 3*m**2.
-m*(m - 2)*(m + 1)
Let 1 + 4/9*g**2 - 4/3*g = 0. Calculate g.
3/2
Let r(w) be the first derivative of w**5/330 - w**4/66 + w**3/33 + 15*w**2/2 - 14. Let m(o) be the second derivative of r(o). Let m(x) = 0. Calculate x.
1
Let w(n) = -n**2 + 8*n - 9. Let i be w(6). Suppose 4*k**i - 5*k**5 - 16*k**4 + 25*k**5 + 12*k**2 - 32*k**3 + 8*k + 4*k**4 = 0. What is k?
-1, -2/5, 0, 1
Suppose 0 = -66*l + 69*l - 15. Let f(p) be the third derivative of -p**2 + 1/72*p**4 + 0*p + 0 - 1/9*p**3 + 1/180*p**l. Find c, given that f(c) = 0.
-2, 1
Let q(r) be the third derivative of -8/51*r**3 - 4*r**2 + 4*r - 8/1785*r**7 + 7/51*r**4 + 5/204*r**6 - 19/255*r**5 + 0 + 1/2856*r**8. Solve q(m) = 0.
1, 2
Let i(r) be the second derivative of -3*r**5/100 + 9*r**4/20 - 3*r**3/2 - 15*r**2/2 - 311*r. Factor i(k).
-3*(k - 5)**2*(k + 1)/5
Let d(a) = 31*a - 28. Let y be d(14). Factor -10*j + 406 + 2*j + 4*j**2 - y.
4*j*(j - 2)
Let u(b) be the third derivative of -1/30*b**6 + 14/3*b**3 + 0 + 40*b**2 + 3/5*b**5 + 0*b - 5/2*b**4. Determine l, given that u(l) = 0.
1, 7
Determine z so that 11/3*z**2 - 16/3*z + 1/6*z**5 + 5/3*z**4 - 16/3 + 31/6*z**3 = 0.
-4, -2, -1, 1
Let m(z) be the first derivative of -2*z**3/3 + 32*z + 59. Factor m(n).
-2*(n - 4)*(n + 4)
Let z be 2*(0 - 216/(-42)). Let k(q) be the first derivative of -4 + 12/7*q**3 + z*q**2 + 3/28*q**4 + 192/7*q. Factor k(l).
3*(l + 4)**3/7
Let g(q) be the first derivative of -2*q**5/75 + q**4/15 + 32. Factor g(r).
-2*r**3*(r - 2)/15
Let s(d) be the second derivative of d**7/3780 - d**6/405 - d**5/180 + d**4/6 - 7*d**3/6 + 11*d. Let v(a) be the second derivative of s(a). Factor v(x).
2*(x - 3)**2*(x + 2)/9
Determine f, given that 4/9*f + 2/3*f**2 - 2/9*f**4 + 0*f**3 + 0 = 0.
-1, 0, 2
Suppose y - 4 = -2*n + 8, 0 = 2*y + 3*n - 20. Factor -3*k**3 - 3*k**4 + 8*k**2 - 4*k**3 + 2*k**y + 16*k + 2*k**4.
k*(k - 4)**2*(k + 1)
Let w = 3/413 - -2876/2065. Let 4*t**3 - 4/5*t**2 + 0*t + 0 - 23/5*t**4 + w*t**5 = 0. What is t?
0, 2/7, 1, 2
Let n(p) be the second derivative of p**6/30 + p**5/10 - p**4/12 - p**3/3 - 67*p + 3. Let n(f) = 0. What is f?
-2, -1, 0, 1
Suppose -21 - 6 = -9*p. Let 28*l - 15*l - 2*l**p - 55*l - 36 - 16*l**2 = 0. What is l?
-3, -2
Let k(m) be the third derivative of -m**6/540 + m**5 - 225*m**4 + 27000*m**3 - 7*m**2 - 6. Factor k(h).
-2*(h - 90)**3/9
Let v(i) be the first derivative of -i**4/4 + i**3/3 + 432. Let v(a) = 0. What is a?
0, 1
Let a(o) be the first derivative of -2*o**5/35 - 17*o**4/14 - 160*o**3/21 - 64*o**2/7 - 21. Solve a(w) = 0 for w.
-8, -1, 0
Let l(u) be the second derivative of u**6/6 + 3*u**5/4 - 25*u**4/12 - 5*u**3/2 + 10*u**2 - 18*u + 20. Factor l(x).
5*(x - 1)**2*(x + 1)*(x + 4)
Suppose 0 = 3*y + 2*k + 9, 5*k + 1 + 5 = -2*y. Let d(g) = -g**3 - 4*g**2 - 3*g + 2. Let x be d(y). Factor -7*a**4 - 2 + 2*a**4 + 5*a**3 + 7*a**x - 2*a**3 - 3*a.
-(a - 1)**2*(a + 1)*(5*a + 2)
Let x = -374 + 374. Let i(w) be the first derivative of 1 - 1/2*w**6 + 2*w**3 + x*w + 0*w**5 + 0*w**2 + 9/4*w**4. Let i(j) = 0. Calculate j.
-1, 0,