2*c**5 - c**4 + 1/2*c + 0 + c**2 = 0.
-1, 0, 1
Let i(a) = 60*a**3 - 575*a**2 + 1585*a - 1620. Let f(k) = 5*k**3 - 48*k**2 + 132*k - 135. Let y(g) = -35*f(g) + 3*i(g). Factor y(o).
5*(o - 3)**3
Suppose -2*k + 2*z + 6 = 3*k, 0 = -4*k + 5*z - 2. Find f such that 2/3*f - 2/3*f**3 - 2/3*f**4 + 0 + 2/3*f**k = 0.
-1, 0, 1
Let h = 23/5 + -64/15. Factor h*g**2 + 1/3 + 2/3*g.
(g + 1)**2/3
Let h(f) be the first derivative of -f**6/120 + 8*f**3/3 - 5. Let u(l) be the third derivative of h(l). Suppose u(d) = 0. Calculate d.
0
Let f(j) = -2*j**3 - 5*j**2 + 9*j - 9. Let r(n) = 15*n + 1. Let a be r(-1). Let l(y) = -y**3 - 2*y**2 + 4*y - 4. Let u(x) = a*l(x) + 6*f(x). Factor u(d).
2*(d - 1)**2*(d + 1)
Suppose 0 = 5*s + 15 - 40. Let j(a) be the second derivative of -3*a - 1/3*a**3 + 1/6*a**4 + 1/10*a**s + 0 - a**2. Factor j(r).
2*(r - 1)*(r + 1)**2
Let i(m) be the first derivative of -m**7/1050 + m**6/150 - m**5/50 + m**4/30 - m**3/30 - m**2 + 3. Let v(r) be the second derivative of i(r). Factor v(l).
-(l - 1)**4/5
Let v(b) be the third derivative of b**5/390 - b**4/78 + b**3/39 + 5*b**2. Factor v(a).
2*(a - 1)**2/13
Let l(f) be the third derivative of f**7/1050 - 11*f**6/600 + f**5/30 - 46*f**2. Find j, given that l(j) = 0.
0, 1, 10
Let f(c) be the first derivative of -1/12*c**4 + 4 + 0*c + 2/9*c**3 - 4/45*c**5 - 2*c**2 - 1/60*c**6. Let r(g) be the second derivative of f(g). Factor r(k).
-2*(k + 1)*(k + 2)*(3*k - 1)/3
Let w(z) be the second derivative of 0*z**2 + 0*z**4 - 1/39*z**3 + z + 0 + 1/130*z**5. Factor w(g).
2*g*(g - 1)*(g + 1)/13
Suppose -5*a + 6 = -2*a. Let x be 1/(-1*3/(-9)). Determine k, given that -2*k**3 + 2*k**2 + 4*k**x + 0*k**a = 0.
-1, 0
Let x(h) be the first derivative of -h**4/16 + h**3/6 + 3*h**2/8 - 39. Factor x(b).
-b*(b - 3)*(b + 1)/4
Let y(a) be the third derivative of -7*a**8/2880 - a**7/180 - a**6/180 + a**5/60 + 2*a**2. Let d(u) be the third derivative of y(u). Factor d(h).
-(7*h + 2)**2
Let j be 1438/(-720) + (4 - 2). Let t(n) be the third derivative of 0*n**4 + 0*n - j*n**6 - 1/180*n**5 - 2*n**2 + 0 + 0*n**3. What is s in t(s) = 0?
-1, 0
Let x(h) be the first derivative of -2 - 6/25*h**5 + 2/5*h**3 + 0*h + 3/10*h**6 - 2/5*h**4 - 1/10*h**2. Find f such that x(f) = 0.
-1, 0, 1/3, 1
Let v(s) be the third derivative of s**8/420 - 4*s**7/525 + s**6/150 - 10*s**2. Factor v(b).
4*b**3*(b - 1)**2/5
Let d = -136 + 136. Factor 0*j - j**3 + d + 1/2*j**4 + 1/2*j**2.
j**2*(j - 1)**2/2
Let k = 9/13 - 23/52. Let x(n) be the first derivative of 0*n**2 + 0*n + 3 - k*n**4 + 2/3*n**3 - 1/5*n**5. Find q, given that x(q) = 0.
-2, 0, 1
Solve 0*o**4 + 7*o - 5*o**5 + 70*o**2 - 5*o**4 + 15 + 32*o + 30*o**3 + 16*o = 0.
-1, 3
Let w(c) be the second derivative of c**4/42 - c**3/21 - 2*c. Find n, given that w(n) = 0.
0, 1
Let s be (-10)/(-35) - (-64)/21. Factor 4/3*m + 14/3*m**2 + 0 + s*m**3.
2*m*(m + 1)*(5*m + 2)/3
Suppose -9 = -20*h + 17*h. Let 6/5*a**4 - 6/5*a**2 + 0 + 2/5*a - 2/5*a**h = 0. Calculate a.
-1, 0, 1/3, 1
Let j = 18/5 - 21/10. Factor 0 - j*s + 3/4*s**2.
3*s*(s - 2)/4
Let 496*u**2 - 65*u + 100*u**4 - 31*u - 195*u**3 - 485*u**3 = 0. What is u?
0, 2/5, 6
Factor -3/7 + 9/7*f + 3/7*f**3 - 9/7*f**2.
3*(f - 1)**3/7
Suppose 0 = -d + 5*d. Suppose d = -5*l + 2*l. Factor l + 1/2*c**5 + 0*c + 0*c**4 - 1/2*c**3 + 0*c**2.
c**3*(c - 1)*(c + 1)/2
Let r(l) be the third derivative of 0 - 1/240*l**5 + 0*l**3 - 1/32*l**4 + 0*l + 5*l**2. Factor r(s).
-s*(s + 3)/4
Suppose -40 = 5*f - 0*f. Let o = -5 - f. Factor 3*c + 15*c**3 + 3*c**5 + 9*c**2 + 14*c**4 - c - o*c**4.
c*(c + 1)**3*(3*c + 2)
Let u be 54/(-189) - 114/(-56). Let f = -527/4 + 134. Solve u*b**2 - f*b + 1/2 = 0 for b.
2/7, 1
Let a = 31/24 + -5/8. Suppose -2 = -2*s + 4. Factor -1/3*h**s - 1/3*h + 0 - a*h**2.
-h*(h + 1)**2/3
Let x(t) = t**3 + 3*t**2 - 3*t + 2. Let h be x(-3). Solve o**3 - h - o + 11 = 0.
-1, 0, 1
Let h(v) be the first derivative of v**3/21 + 3*v**2/14 + 9. Factor h(w).
w*(w + 3)/7
Let o(l) be the first derivative of l**4/22 + 10*l**3/33 + 7*l**2/11 + 6*l/11 - 36. Factor o(f).
2*(f + 1)**2*(f + 3)/11
Let d = 19/20 + 251/20. Factor 1/2*b**3 + d + 27/2*b + 9/2*b**2.
(b + 3)**3/2
What is d in 0*d + 0 + 8/5*d**2 - 92/5*d**3 = 0?
0, 2/23
Suppose -3*l - 36 = l. Let k be ((-1)/l)/((-2)/(-8)). Factor 2/3*i - 2/9*i**5 - k*i**2 - 2/9 + 2/3*i**4 - 4/9*i**3.
-2*(i - 1)**4*(i + 1)/9
Let m(a) be the first derivative of 1/4*a**2 + 0*a + 1/6*a**3 - 1. Suppose m(j) = 0. What is j?
-1, 0
Let h(f) be the third derivative of f**8/112 + f**7/35 - f**5/10 - f**4/8 - 2*f**2. Factor h(n).
3*n*(n - 1)*(n + 1)**3
Let o = -515/2 + 1031/4. Solve 0 + 0*r + 3/4*r**2 + o*r**3 = 0 for r.
-3, 0
Factor 9*t**2 + 6*t + 3*t**3 + 18*t**2 + 18*t**3.
3*t*(t + 1)*(7*t + 2)
Let g(b) be the second derivative of b**5/40 + 7*b**4/24 + 5*b**3/6 - 29*b. Let g(x) = 0. Calculate x.
-5, -2, 0
Let t be 3 + 0 - (3 + 5). Let h(r) = -7*r**2 + 2*r + 9. Let g(p) = -4*p**2 + p + 5. Let m(j) = t*g(j) + 3*h(j). Factor m(k).
-(k - 2)*(k + 1)
Let d(p) = 18*p**2 - 22*p + 5. Let h(r) = -r**2 + r - 1. Let c(y) = -2*d(y) - 22*h(y). Let c(f) = 0. What is f?
-3/7, 2
Let j(m) = -48*m**4 - 96*m**3 - 33*m**2. Let q(r) = -3*r**4 - 6*r**3 - 2*r**2. Let b(t) = 2*j(t) - 33*q(t). Determine l so that b(l) = 0.
-2, 0
Let o = -31 + 63/2. Find k such that -1/2*k**2 + 0 - 1/2*k + o*k**4 + 1/2*k**3 = 0.
-1, 0, 1
Let s be -1*((-4)/8)/((-2)/(-4)). Factor s + 35/4*r**3 - 23/4*r**4 + 5/4*r**5 - 17/4*r**2 - r.
(r - 2)*(r - 1)**3*(5*r + 2)/4
Let a(h) = -h**3 - h**4 - 2*h**2 - 4*h**3 - h**5 + 3*h**3 - 3. Let o(b) = -b**3 - b**2 - 1. Let f be (-1)/(-4) - 143/44. Let k(n) = f*o(n) + a(n). Factor k(s).
-s**2*(s - 1)*(s + 1)**2
Let h = -2279/30 - -76. Let c(w) be the second derivative of -4/15*w**3 - 4/5*w**2 + 0 - w - h*w**4. Find x, given that c(x) = 0.
-2
Let w(q) = -q**3 - 6*q**2 + 7*q + 3. Let n be w(-7). Factor -1/2*c**2 - 1/4*c - 1/4*c**n + 0.
-c*(c + 1)**2/4
Suppose 2*m = -2*u + 4*m + 94, 2*u = -2*m + 82. Let r be 1 + u/(-10) - -4. Let 0*f**2 + 6/5*f + 3/5*f**4 - r - 6/5*f**3 = 0. What is f?
-1, 1
Factor 2/11*t**3 - 2/11*t**2 + 2/11*t**4 + 0 - 2/11*t.
2*t*(t - 1)*(t + 1)**2/11
Let g(c) = -3*c**3 - 18*c**2 + 3*c. Let y(x) = -3*x**3 - 20*x**2 + 4*x. Let w(o) = -4*g(o) + 3*y(o). Find d such that w(d) = 0.
-4, 0
Let r be ((-7)/3)/((-9)/27). Let a = -33/5 + r. Factor a*o + 1/5*o**2 - 2/5*o**3 - 1/5.
-(o - 1)*(o + 1)*(2*o - 1)/5
Let k be 12/((-3)/8*-2). Suppose -5*f = -r + 20, 0 = 5*r + 4*f + k. Factor 4/7*l**3 + 0*l**2 - 2/7*l + r*l**4 + 0 - 2/7*l**5.
-2*l*(l - 1)**2*(l + 1)**2/7
Factor 1/5*d + 6/5*d**3 - 4/5*d**4 - 4/5*d**2 + 0 + 1/5*d**5.
d*(d - 1)**4/5
Let n(i) = -i**2 - 3*i + 2. Let u(w) = w**2 + 4*w - 2. Let x be (-9)/2 + (-2)/(-4). Let b(f) = x*u(f) - 5*n(f). What is l in b(l) = 0?
-1, 2
Let x(t) be the third derivative of 0*t**3 - 3*t**2 + 0 + 1/60*t**6 + 1/504*t**8 + 1/90*t**5 + 0*t**4 + 0*t + 1/105*t**7. What is p in x(p) = 0?
-1, 0
Suppose 0 + 2/3*c**2 + 38/3*c = 0. What is c?
-19, 0
Let d(p) be the first derivative of -2*p**3 + 3 + 2*p**4 + p**2 - 4*p**4 + 1. Factor d(t).
-2*t*(t + 1)*(4*t - 1)
Suppose 63*u = 67*u - 3*k + 4, -2*u - 3*k = -16. Let -7*i - 9/4*i**4 - 19/2*i**3 - 1 - 53/4*i**u = 0. What is i?
-2, -1, -2/9
Let f(x) = 25*x**4 - 42*x**3 + 7*x**2 + 8*x - 2. Let r(n) = n**3 - n**2 + n + 1. Let v(d) = -f(d) - 2*r(d). Factor v(a).
-5*a*(a - 1)**2*(5*a + 2)
Let i(v) = 42*v**2 + v - 75*v**3 - 7*v + 6 + 2*v. Let d(u) = 149*u**3 - 85*u**2 + 8*u - 13. Let k(n) = -6*d(n) - 13*i(n). Determine z, given that k(z) = 0.
0, 2/9
Let k(w) = w**3 + w**2 + 1. Let u(m) = -2*m**4 + 45*m**3 - 435*m**2 + 1728*m - 2595. Let j(d) = 3*k(d) + u(d). Determine y, given that j(y) = 0.
6
Let t(a) = 3*a**2 - 12*a + 12. Let q(j) = 21*j**2 - 84*j + 84. Let m(o) = 4*q(o) - 27*t(o). Determine b, given that m(b) = 0.
2
Let a(r) be the second derivative of -2*r**6/15 + 4*r**5/5 - r**4 - 8*r**3/3 + 8*r**2 - r. Factor a(x).
-4*(x - 2)**2*(x - 1)*(x + 1)
Let k be (-3 - -6) + (-22)/8. Determine t, given that 0*t**2 + 0 + k*t - 1/4*t**3 = 0.
-1, 0, 1
Let f = 1 - -3. Suppose -4*l = -8 - f. Determine h so that 3*h - 2*h - h + 2*h**2 + 4*h**4 + 6*h**l = 0.
-1, -1/2, 0
Let x = -8 + 10. Suppose -2*d**3 - 2/3*d**x + 0 + 0*d = 0. Calculate d.
-1/3, 0
Determine s, given that 3/2*s + 1/6 + 8/3*s**3 + 4*s**2