*3 - 3/4*b**2 + 5/4*b - 1/2 = 0 for b.
-2, 1
Solve 195*o - 100 - 192*o + 108*o - 45*o**2 + 349*o = 0.
2/9, 10
Let n(x) be the third derivative of -x**6/24 + x**5/12 + 26*x**2. Factor n(l).
-5*l**2*(l - 1)
Let i be ((-4)/7)/((-280)/588). What is j in 0 + 6/5*j**3 + 2/5*j + 2/5*j**4 + i*j**2 = 0?
-1, 0
Let m = 44 + -41. Let y(f) be the first derivative of -2/21*f**m - 2/7*f**2 + 3 - 2/7*f. Factor y(z).
-2*(z + 1)**2/7
Let y be (9/(-2 + -1))/(-1). Factor -y*g**3 + g + g**4 + 0*g**4 + 2*g**3 - g**2.
g*(g - 1)**2*(g + 1)
Let d(g) be the second derivative of 0 + 11*g - g**3 + 0*g**2 - 1/6*g**4. Determine w, given that d(w) = 0.
-3, 0
Let 12 + 3/4*m**2 + 6*m = 0. Calculate m.
-4
Factor -21*k**2 + 2*k**3 + 21*k**2.
2*k**3
Let f(s) be the second derivative of s - 1/4*s**5 + 3/4*s**4 + s**2 + 1/30*s**6 + 0 - 7/6*s**3. Solve f(w) = 0 for w.
1, 2
Let f(s) = s**2 - 4*s + 1. Let o(b) = b**2 - 5*b + 2. Suppose 3*q + 2*q = 20. Suppose -12 = -q*k - 0*k. Let t(y) = k*o(y) - 4*f(y). Factor t(d).
-(d - 2)*(d + 1)
Let m(k) be the first derivative of -3*k**5/5 + k**3 + 11. Factor m(i).
-3*i**2*(i - 1)*(i + 1)
Let x be (-3 + 3)/((-3)/3). Suppose 0*i - 5*i = -15. Solve -2/3*g**i - 2/3*g**4 + 0*g**2 + 0 + x*g = 0 for g.
-1, 0
Let s be 6*(-3)/(-4)*-2. Let n = s + 11. Determine d so that 0*d**3 + 0 + 1/3*d**4 + 0*d - 1/3*d**n = 0.
-1, 0, 1
Let n(l) = -2*l - 4. Let x be n(-4). Let o(y) be the second derivative of 0*y**3 - 1/70*y**5 - 2*y + 0*y**x + 0*y**2 + 0. Factor o(c).
-2*c**3/7
Let o be 16/60*(-5)/(-2). Let h = 2 - 0. Factor -4/3 + 2/3*n**h - o*n.
2*(n - 2)*(n + 1)/3
Let l(a) be the second derivative of 0*a**2 + 2/45*a**6 + 1/9*a**3 + 0*a**5 + 0 + 4*a - 1/9*a**4 - 1/63*a**7. Factor l(g).
-2*g*(g - 1)**3*(g + 1)/3
Let y = -13 - -25. Let p be (-3)/y - (-3)/12. Determine x so that 4/3*x**3 + p + 0*x - 2/3*x**2 - 2/3*x**4 = 0.
0, 1
Let f(d) be the first derivative of d**4/6 + 4*d + 4. Let m(l) be the first derivative of f(l). Determine z so that m(z) = 0.
0
Let v = -3/159380 + 115712/438295. Let k = v - 2/143. Determine r so that 1/4 - 1/4*r**2 - 1/4*r + k*r**3 = 0.
-1, 1
Let t(l) be the first derivative of -l**6/12 + 3*l**5/10 - l**4/4 + 4. Let t(q) = 0. What is q?
0, 1, 2
Suppose 1 = 3*g - 5. Determine o, given that 0*o**3 - o**2 + 4*o + 2*o**3 - 5*o**g = 0.
0, 1, 2
Let y be ((-32)/(-20))/((-3)/15). Let j = 12 + y. Let -46/3*a**3 + 140/9*a**j + 56/9*a**2 - 50/9*a**5 + 0 - 8/9*a = 0. What is a?
0, 2/5, 1
Factor -18/5*n**2 - 12/5*n - 12/5*n**3 - 3/5 - 3/5*n**4.
-3*(n + 1)**4/5
Suppose i + 2*i = -2*c - 10, -3*i = 5*c + 25. Let i*t + 0 - 2/3*t**2 - 2/3*t**4 + 4/3*t**3 = 0. What is t?
0, 1
Let x(d) be the second derivative of -d**5/240 + d**3/24 + d**2/12 - 19*d. Let x(y) = 0. Calculate y.
-1, 2
Let y(x) = -x**2 + 7*x - 7. Let p be y(6). Let j be p/2*-2*5. Factor 0 + 1/3*l**j + 2*l**3 - 4/3*l**2 + 1/3*l - 4/3*l**4.
l*(l - 1)**4/3
Let g(q) be the second derivative of -q**6/150 - q**5/20 - 2*q**4/15 - 2*q**3/15 - 6*q - 2. Factor g(x).
-x*(x + 1)*(x + 2)**2/5
Let d(z) = 4*z**5 + 140*z**4 - 1452*z**3 + 5316*z**2 + 8. Let l(p) = -p**5 - p**4 + p**2 - 1. Let g(m) = -d(m) - 8*l(m). What is i in g(i) = 0?
0, 11
Factor -3/4*t**2 + 3/4*t**4 + 0*t**3 - 3/8*t + 0 + 3/8*t**5.
3*t*(t - 1)*(t + 1)**3/8
Let v(a) be the second derivative of a**4/12 + a**3/6 - a**2 + a. Let m(y) = -4*y**2 - 4*y + 9. Let n(c) = -4*m(c) - 18*v(c). Let n(f) = 0. Calculate f.
-1, 0
Let i be 4/(-18) - (-34)/(-9). Let k(l) = l**2 + 1. Let m(f) = 2*f**3 - 4*f**2 - 4. Let u(n) = i*k(n) - m(n). Factor u(x).
-2*x**3
Factor -2 + 2*s**2 + 6 + s**2 + 3*s**3 - 7 - 3*s.
3*(s - 1)*(s + 1)**2
Let m(n) = -8*n - n**4 + 3*n**2 - 2*n**3 + 6*n - 8*n - 15*n**2 - 5. Let j(k) = k**3 - k**2 - k - 1. Let r(d) = 3*j(d) - m(d). Solve r(p) = 0 for p.
-2, -1
Let d = -1370/7 + 196. Factor -2/7*c**2 + d*c**4 + 0 - 2/7*c**3 + 2/7*c.
2*c*(c - 1)**2*(c + 1)/7
Let u(g) be the third derivative of g**5/90 - 2*g**4/9 + 16*g**3/9 - 16*g**2. Suppose u(t) = 0. What is t?
4
Let y(d) = -8*d + 3. Let j be y(-9). Let z = j - 373/5. Suppose -z*c**3 + 0 - 2/5*c - 4/5*c**2 = 0. What is c?
-1, 0
Factor 9/5*w**2 - 6/5*w - 3/5.
3*(w - 1)*(3*w + 1)/5
Suppose -5*q + 15 = -5. Suppose -2*b - 3*p = 1 - 17, 3*b = -2*p + 19. Factor 8*i**4 - 2*i**q - 2 + 3*i**b + i + 4*i**3 - i**5 - 4*i**2 - 7*i.
2*(i - 1)*(i + 1)**4
Let c be ((-6)/(-18))/((-2)/(-24)). Solve 5/4*p**c + 1/4*p**2 + 0 + 0*p - 1/2*p**5 - p**3 = 0 for p.
0, 1/2, 1
Let v(y) be the third derivative of y**8/8400 - y**6/900 + y**4/120 - y**3/2 + 3*y**2. Let u(t) be the first derivative of v(t). Factor u(o).
(o - 1)**2*(o + 1)**2/5
Let f be (1 - 3 - -2) + 0. Factor 2 + 0 + z**2 + 2*z + f - 5*z**2.
-2*(z - 1)*(2*z + 1)
Let i(l) = l**2 + l - 20. Let x be i(4). Let -2/5*b**2 + 0 + x*b = 0. Calculate b.
0
Let c be -2 + 4 + (-3)/(-1). Let i(z) = z - 5. Let d be i(c). Factor d + r + 9/4*r**3 + 3*r**2.
r*(3*r + 2)**2/4
Let d(b) be the third derivative of b**8/20160 - b**7/2520 + b**5/20 + b**2. Let k(i) be the third derivative of d(i). Find l, given that k(l) = 0.
0, 2
Let w be (0 - 0)/(3 - 1). Let 0*q - 3/2*q**4 - 3*q**3 + 0 + w*q**2 + 3/2*q**5 = 0. Calculate q.
-1, 0, 2
Let m = 7 + 3. Let i = 14 - m. Find n, given that 0*n**i - 2/9*n**5 + 0 - 2/9*n + 0*n**2 + 4/9*n**3 = 0.
-1, 0, 1
Let u(g) = 3*g**4 + 6*g**3 - 4*g**2 - 10*g - 3. Let f(v) = 3*v**4 + 6*v**3 - 5*v**2 - 11*v - 3. Let n(c) = -4*f(c) + 5*u(c). Factor n(p).
3*(p - 1)*(p + 1)**3
Let b(n) be the second derivative of n**6/30 - n**5/4 + 2*n**4/3 - 2*n**3/3 + 2*n. Suppose b(g) = 0. What is g?
0, 1, 2
Suppose 0 = -2*w - w + 9. Factor 2*a**3 + 0*a**3 - 2*a**5 - 3*a**w + 3*a**3.
-2*a**3*(a - 1)*(a + 1)
Suppose -1847*b + 1854*b = 7. Factor 5/2*d + b - 1/2*d**5 + d**2 - 2*d**3 - 2*d**4.
-(d - 1)*(d + 1)**3*(d + 2)/2
Let a(n) be the third derivative of 3*n**6/160 + n**5/120 - 15*n**2. Determine l, given that a(l) = 0.
-2/9, 0
Let u(s) be the third derivative of 3*s**6/80 - s**5/40 + s**2. Determine i, given that u(i) = 0.
0, 1/3
Let 4/5*r**3 - 6/5*r**2 + 0*r + 0 + 2/5*r**4 = 0. What is r?
-3, 0, 1
Let z(w) be the second derivative of -1/12*w**4 + 0*w**2 + 0 - 1/2*w**3 + 3*w. Solve z(d) = 0 for d.
-3, 0
Suppose -1 - 1/4*q**2 + 5/4*q**4 + 1/4*q**5 - 2*q + 7/4*q**3 = 0. What is q?
-2, -1, 1
Let g be 6/(2 + 6/(-12)). Let v(i) be the first derivative of 0*i**3 - 1/4*i**g - 3 + 0*i**2 + 0*i. Suppose v(m) = 0. Calculate m.
0
Let d(a) be the first derivative of 32*a**3/9 - 17*a**2/3 + 2*a/3 - 16. Factor d(i).
2*(i - 1)*(16*i - 1)/3
Let y(c) be the third derivative of 7*c**5/180 + c**4/36 - 43*c**2. Determine x, given that y(x) = 0.
-2/7, 0
Let g(q) = q**2 - 5. Let d(j) = j**2 - 4. Let f(b) = 5*d(b) - 4*g(b). Let v be f(0). Suppose 1/3*w**4 + v*w**2 + 1/3*w**3 + 0 + 0*w = 0. What is w?
-1, 0
Let a be 1/(-4) - (-118)/(-8). Let h = 31/2 + a. Factor 1/4*q**2 + 1/4 + h*q.
(q + 1)**2/4
Let q be -1*2/4*(-20 + 20). Let l(n) be the first derivative of 1/3*n**6 + 2*n**2 + 9/2*n**4 + 14/3*n**3 + q*n + 1 + 2*n**5. Factor l(g).
2*g*(g + 1)**3*(g + 2)
Let h(i) = -48*i**4 + 78*i**3 + 56*i**2 + 14*i. Let o(b) = -47*b**4 + 78*b**3 + 56*b**2 + 15*b. Let w(r) = 7*h(r) - 6*o(r). Determine q so that w(q) = 0.
-1/3, -2/9, 0, 2
Let s(x) = 3*x**3 + 3*x**2 - 3*x + 3. Let g(b) = 9*b**3 + 9*b**2 - 10*b + 8. Let i(h) = 3*g(h) - 8*s(h). What is n in i(n) = 0?
-2, 0, 1
Let k = -96/77 + 10/7. Suppose o - 5 = -5*m - 0*o, o = -2*m - 1. Factor -2/11*i**m + k*i + 0.
-2*i*(i - 1)/11
Let o(q) be the third derivative of -q**10/105840 - q**9/26460 - q**8/23520 + q**4/24 - 5*q**2. Let c(m) be the second derivative of o(m). Factor c(s).
-2*s**3*(s + 1)**2/7
Let n(y) be the first derivative of -3/8*y**4 - 3/10*y**5 + 6 - 1/12*y**6 + 0*y**2 + 0*y - 1/6*y**3. Factor n(a).
-a**2*(a + 1)**3/2
Let b = 3 - 1. Let x be (-4)/10 - (-60)/25. Suppose 0 + 2*k**4 + 0 - k**3 - b*k**x + k = 0. What is k?
-1, 0, 1/2, 1
Let v = 286/365 + 6/365. Determine h, given that -v - 8/5*h**2 + 2/5*h**3 + 2*h = 0.
1, 2
Let i(o) = -6*o + 6. Let g(x) = -x**2 - 6*x + 7. Let b(u) = -3*g(u) + 4*i(u). Factor b(p).
3*(p - 1)**2
Let j(z) be the third derivative of -z**10/529200 + z**9/105840 - z**8/70560 - z**5/20 - 2*z**2. Let i(n) be the third derivative of j(n). Factor i(k).
-2*k**2*(k - 1)**2/7
Let h(w) = 12*w**4 - 28*w**3 - 20*w**2 + 36*w. 