48/17*c**2.
-2*(c - 1)*(c + 2)*(c + 23)/17
Let r(h) = -h**4 - h**2 - 1. Let c(a) = -15*a**5 - 3*a**4 + 45*a**3 - 41*a**2 + 4*a - 5. Let g(i) = c(i) - 5*r(i). Let g(v) = 0. Calculate v.
-2, 0, 2/15, 1
Let 9/2*i**3 + 0*i - 3*i**4 + 0 - 1/2*i**5 + 7*i**2 = 0. Calculate i.
-7, -1, 0, 2
Let s(h) be the third derivative of 5/24*h**4 + 0*h**3 + 0 - 1/12*h**5 + 0*h + 22*h**2. Suppose s(n) = 0. What is n?
0, 1
Suppose -3*g = -0*g. Let d be 5 + (-2 - (1 + g)). What is n in n**4 + 4*n**4 + 1 - 6*n**d - 2*n**4 + 2 = 0?
-1, 1
Suppose s - 4*a - 13 = 0, 6 = 2*s + a - 2. Let t be (8/10)/(2/s). Find q such that -3/2*q**t - 3*q - 2 - 1/4*q**3 = 0.
-2
Let d be (-165)/(-9) + 1/(-3). Suppose 5*z = d + 2. Find b, given that -6*b + 0 - 6*b - z*b**3 + 3 - 12*b**2 - 7 = 0.
-1
Let g(p) be the first derivative of -p**4/10 - 68*p**3/15 + 71*p**2/5 - 72*p/5 + 319. Factor g(n).
-2*(n - 1)**2*(n + 36)/5
Let n(h) = -7*h**5 - 4*h**4 + 9*h**3 + 14*h**2 - 8*h. Let d(j) = -j**5 + j**3 + j**2 - j. Let x(t) = 8*d(t) - n(t). Determine k, given that x(k) = 0.
-1, 0, 2, 3
Let n = -2036 + 2039. Factor -2*t**2 - 2/3*t**n + 0 - 4/3*t.
-2*t*(t + 1)*(t + 2)/3
Let c(k) be the first derivative of 0*k**2 + 0*k + 30 + 4/21*k**3 + 11/14*k**4. Factor c(y).
2*y**2*(11*y + 2)/7
Let g(t) be the first derivative of t**7/3360 - t**6/360 + t**5/96 - t**4/48 - 13*t**3/3 - 12. Let r(a) be the third derivative of g(a). Factor r(f).
(f - 2)*(f - 1)**2/4
Let l = -23 - -25. Factor 36*i + 5*i**3 - 18*i**3 + 9*i**3 - 20 - 12*i**l.
-4*(i - 1)**2*(i + 5)
Let b(r) be the first derivative of -r**6/288 - r**5/40 - r**4/24 - r**3 - 13. Let v(t) be the third derivative of b(t). Determine d, given that v(d) = 0.
-2, -2/5
Let t be -3 + 104/44 + 14 + 13 + -26. Factor -2/11*g**2 + 0*g - 2/11*g**4 - t*g**3 + 0.
-2*g**2*(g + 1)**2/11
Let w(s) be the second derivative of -s**6/18 - s**5/4 - 5*s**4/18 - 3*s - 1. Factor w(t).
-5*t**2*(t + 1)*(t + 2)/3
Let f(u) = 5*u**5 - 15*u**4 + u**3 + 18*u**2. Let t(h) = 4*h**5 - 14*h**4 + 16*h**2. Let m(a) = -2*f(a) + 3*t(a). Solve m(z) = 0.
-1, 0, 1, 6
Suppose -34*t + 30*t + 52 = 0. Let k = t + -13. Factor -3/7*c**4 + 0*c - 3/7*c**3 + 0 + k*c**2.
-3*c**3*(c + 1)/7
Let u(g) = 4*g - g**2 + 7 + 4 - 2*g**2 + 6*g**2. Let f(v) = 7*v**2 + 7*v + 23. Let n(y) = 6*f(y) - 15*u(y). Solve n(a) = 0.
-3
Suppose -4*t = -5*h - 4 - 24, 18 = -3*h + 2*t. Let g be ((-3)/(-26))/((-6)/h). Factor 2/13*r + 0 + g*r**2.
2*r*(r + 1)/13
Factor -1/8*q + 1/8 - 1/8*q**2 + 1/8*q**3.
(q - 1)**2*(q + 1)/8
Let p(c) be the second derivative of 0 + 5/3*c**4 + 2*c**3 - 3/5*c**5 - 8/15*c**6 - 2*c**2 + 4*c. Find i such that p(i) = 0.
-1, 1/4, 1
Let w(a) be the second derivative of 1/5*a**5 + 0 - 7/3*a**4 - 3/7*a**7 + 7/3*a**3 - 31*a - a**2 + a**6. Find l, given that w(l) = 0.
-1, 1/3, 1
Let v(c) be the first derivative of c**4/20 - c**3/15 - c**2/2 - 3*c/5 + 26. What is l in v(l) = 0?
-1, 3
Suppose 4*y + 167 = -5*v, 2*v = 5*y - 3*v + 175. Let i be y/11 + -8 + 12. Determine p, given that -8/11*p**2 + 4/11 + 2/11*p - i*p**3 = 0.
-1, 2/3
Let d(c) be the first derivative of c**5/15 + 5*c**4/4 + 28*c**3/3 + 104*c**2/3 + 64*c + 228. Factor d(w).
(w + 3)*(w + 4)**3/3
Let j(l) be the first derivative of -7 - 1/21*l**6 + 1/14*l**4 + 2/21*l**3 + 0*l**2 + 0*l - 2/35*l**5. Let j(p) = 0. What is p?
-1, 0, 1
Let w(k) be the third derivative of 0 + 0*k + 1/3*k**3 - k**2 - 1/30*k**5 - 1/60*k**6 + 1/12*k**4. Factor w(a).
-2*(a - 1)*(a + 1)**2
Let t(z) = -z**4 + 3*z**3 - 11*z**2 + 5*z - 4. Let r(k) = -2*k**4 + 11*k + 7*k**3 + 55*k**2 + 0*k**4 - 78*k**2 - 7. Let j(i) = -4*r(i) + 7*t(i). Factor j(n).
n*(n - 3)**2*(n - 1)
Let v(a) = 2*a**2 + 46*a - 280. Let j be v(-28). Factor 2/3*s**3 + 0*s**2 + 0 - 1/3*s - 1/3*s**5 + j*s**4.
-s*(s - 1)**2*(s + 1)**2/3
Suppose -3*f + 0*f + 36 = 0. Suppose 0 = -15*n + f*n + 111. What is q in n*q**2 + 2*q - 20*q**2 - 19*q**2 = 0?
0, 1
Let s be (-32 - -17) + (-77)/(-5). Suppose 2*f - 3*o = -9, -7*f - 5*o + 40 = -2*f. Factor 2/5 + 2/5*q**f - 2/5*q**2 - s*q.
2*(q - 1)**2*(q + 1)/5
Suppose -5*h - 225 - 180 = 0. Let r be h/18*((-8)/3 + 2). Determine p, given that 2/7*p**r - 2/7*p**2 + 2/7 - 2/7*p = 0.
-1, 1
Let t(p) be the first derivative of -p**4/36 - p**3/9 + 5*p + 31. Let u(o) be the first derivative of t(o). Determine z, given that u(z) = 0.
-2, 0
Suppose -4*f = 3*o, f + 3*o + 10 = 1. Factor 5/2*g**2 - 3/2*g + 1/6*g**4 + 0 - 7/6*g**f.
g*(g - 3)**2*(g - 1)/6
Let l be 10/126*43/43. Let s(i) be the second derivative of -5/9*i**4 - 2/15*i**5 - 1/9*i**3 + 8/45*i**6 + 5*i + 0 + 2/3*i**2 + l*i**7. What is f in s(f) = 0?
-1, 2/5, 1
Let a(j) be the first derivative of -8/7*j + 1/7*j**6 + 2/7*j**5 + 30 - 2*j**3 - 16/7*j**2 - 1/2*j**4. Solve a(t) = 0.
-1, -2/3, 2
Factor -y**3 + 2*y**3 - 15 + 17*y - 6*y**3 - 5*y**2 + 9*y - y.
-5*(y - 1)**2*(y + 3)
Let f(r) = 5*r + 10. Let d be f(-10). Let l be -3 - 17/(-4)*(-32)/d. Find x such that -2/5*x**2 - l + 4/5*x = 0.
1
Let u(s) be the second derivative of -5*s**4/24 - 20*s**3 - 720*s**2 + 74*s. Factor u(v).
-5*(v + 24)**2/2
Let d = -22674 - -158719/7. Factor 0 + 4/7*g + d*g**2.
g*(g + 4)/7
Suppose 2*s + 2*f + 4 = 0, 3*s - 2*f + 7 = 11. Let s*x + 0*x**3 - 8/5*x**2 + 16/5 + 1/5*x**4 = 0. Calculate x.
-2, 2
Let x(g) = 45*g**4 + 55*g**3 + 80*g**2 - 35*g - 35. Let r(a) = 5*a**4 + 6*a**3 + 9*a**2 - 4*a - 4. Let y(b) = 35*r(b) - 4*x(b). Determine n so that y(n) = 0.
-1, 0
Let j(p) be the third derivative of -p**5/40 + p**4/48 + 2*p**2 + 30*p. Factor j(w).
-w*(3*w - 1)/2
Let i be (30/(-45))/(-1 - 455/(-456)). Let f = -301 + i. Factor 0*d + 1/5*d**2 + 1/5*d**f + 0.
d**2*(d + 1)/5
Let q(b) be the first derivative of -b**6/3 + 4*b**5/5 + 11*b**4/2 - 80*b**3/3 + 44*b**2 - 32*b + 28. Suppose q(j) = 0. Calculate j.
-4, 1, 2
Let k = 2046 + -4087/2. What is l in 5/2 + 0*l**2 - k*l**4 - 5*l**3 + 5*l = 0?
-1, 1
Suppose -5*m = -4*h + 1800, 0 = 12*m - 16*m - 2*h - 1466. Let k = m - -2552/7. Find f such that -8/7*f**4 - k*f**3 + 0*f**2 + 0*f + 0 - 4/7*f**5 = 0.
-1, 0
Let f(l) = -l**3 + 15*l**2 - 25*l - 19. Let j be f(12). Let d = 679/6 - j. Factor 0 + 0*k + 0*k**2 + d*k**3.
k**3/6
Let x = 2250 + -2244. Let r(s) be the third derivative of 0 - 1/18*s**4 + 1/252*s**8 - 4/315*s**7 - x*s**2 + 2/45*s**5 + 0*s**6 + 0*s**3 + 0*s. Factor r(k).
4*k*(k - 1)**3*(k + 1)/3
Suppose 12/7 + 8/7*b + 1/7*b**2 = 0. What is b?
-6, -2
Let u = -47735/9 - -5311. Suppose 16/9 - 4*g**2 - u*g = 0. Calculate g.
-2, 2/9
Let t(s) = 3*s**5 + s**4 + 2*s**2 - 2*s. Let b(l) = 25*l**5 + 9*l**4 + 17*l**2 - 17*l. Let n(o) = -6*b(o) + 51*t(o). Factor n(c).
3*c**4*(c - 1)
Let t(q) be the first derivative of -q**4/12 - 4*q**3/9 + 2*q**2/3 + 16*q/3 + 129. Find l such that t(l) = 0.
-4, -2, 2
Let p be 5/1 - -2*2/(-4). Let q(v) = -v + 10. Let i be q(7). Factor 11*s - 12*s**i - 8 - 27*s**2 - 2*s**p - 16*s + s**2 - 19*s.
-2*(s + 1)**2*(s + 2)**2
Let l(p) = 2 + 12*p**2 + 6*p**3 - 16*p**2 - 3 - 1. Let k(y) = -y**4 - 12*y**3 + 8*y**2 + 5. Let i(r) = -2*k(r) - 5*l(r). Factor i(u).
2*u**2*(u - 2)*(u - 1)
Let y(q) be the third derivative of 1/2*q**3 + 24/35*q**7 + 1/2*q**4 - 13/20*q**5 - 10*q**2 + 0*q + 0 - q**6. Solve y(c) = 0.
-1/4, 1/3, 1
Let l = -11269/2 - -5639. What is m in -l*m**3 - 3/2*m**2 + 3/2 + 9/2*m = 0?
-1, -1/3, 1
Suppose 112 = -h - 3*h. Let d be h/35*(-5)/2. Factor 6 + 3*l**3 + 2*l**d - 7*l**2 + 0*l**2 - 3*l - l**2.
3*(l - 2)*(l - 1)*(l + 1)
Let n(j) be the first derivative of j**6/24 + j**5/20 - j**4/8 - j**3/6 + j**2/8 + j/4 + 99. Factor n(g).
(g - 1)**2*(g + 1)**3/4
Let k(w) = 3*w**4 - 24*w**3 - 75*w**2 + 34*w + 77. Let d(h) = h**4 - h**2 + 2*h + 1. Let q(v) = 5*d(v) - k(v). Factor q(p).
2*(p - 1)*(p + 1)*(p + 6)**2
Suppose 0*c = 2*c. Suppose -2*m = -4 - c. Factor -3*y**3 + 3 - 2*y**m - y**2 + 3*y + 0*y**2.
-3*(y - 1)*(y + 1)**2
Let p be (992/816 - 12/9) + (-673)/(-85). Find j such that -9/5*j - p*j**3 + 12/5*j**5 + 9/5*j**4 + 6/5 - 51/5*j**2 = 0.
-1, 1/4, 2
Suppose -4*g + 6 = 5*f, -22*g + 23*g + 1 = 0. Let p(k) be the first derivative of 1/6*k**f - 8 + 0*k - 1/9*k**3. Determine l, given that p(l) = 0.
0, 1
Factor 4*b**4 + b**2 - 13*b**2 + 6*b**3 - 8*b - 6*b**3.
4*b*(b - 2)*(b + 1)**2
Let n(x) be the third derivative of x**5/20 + 9*x**4/8 + 7*x**3 + 184*x**2. Let n(f) = 0. What is f?
-7, -2
Let j be (0*2/6)/(-1). Suppose 0 = -2*r -