f -8*d**6/45 + 2*d**5/15 + 7*d**4/36 + d**3/18 + 16*d. Factor v(i).
-i*(i - 1)*(4*i + 1)**2/3
Let t(m) = m**2 + m. Let o(n) = -n**2 + 6*n - 2. Let s be o(7). Let i = s - -8. Let v(w) = -4*w - 4. Let b(u) = i*v(u) + 2*t(u). Factor b(q).
2*(q + 1)*(q + 2)
Suppose 2*a = -5*c - 44, c = a - 1 - 5. Let b be (-2)/c + (-11)/(-4). Factor k**2 + k**2 + 4*k**b - k**4 + 3*k**4.
2*k**2*(k + 1)**2
Suppose -1/5 + 0*f + 1/5*f**2 = 0. What is f?
-1, 1
Let d(p) = 2*p**3 + p**2 - 3*p + 2. Let s be d(1). Let z(k) be the third derivative of 0*k + 0*k**4 + 0*k**3 + 0 - 1/600*k**6 + 0*k**5 + 2*k**s. Factor z(a).
-a**3/5
Let p(w) be the second derivative of -w**6/50 + 9*w**5/100 - 3*w**4/20 + w**3/10 - 20*w. Find y, given that p(y) = 0.
0, 1
Let h(o) = -5*o**2 - 10*o - 10. Let g(p) = -36*p**2 - 69*p - 69. Let i(t) = 2*g(t) - 15*h(t). What is w in i(w) = 0?
-2
Factor 0*u + 3/4*u**2 - 1 + 1/4*u**3.
(u - 1)*(u + 2)**2/4
Let n(q) be the second derivative of -q**9/83160 + q**8/18480 - q**7/13860 + q**4/12 + 3*q. Let w(d) be the third derivative of n(d). Factor w(c).
-2*c**2*(c - 1)**2/11
Let d(m) be the second derivative of 0 + 0*m**3 + 2*m - 3/2*m**2 + 1/30*m**5 + 0*m**4 + 1/60*m**6. Let q(u) be the first derivative of d(u). Factor q(v).
2*v**2*(v + 1)
Let j be 9 + -6 - (2 - 3). Factor 0 - 6/5*z**2 + 2/5*z + 6/5*z**3 - 2/5*z**j.
-2*z*(z - 1)**3/5
Let z(a) be the first derivative of 0*a - 1/4*a**2 + 5/12*a**3 + 1/24*a**6 - 1/20*a**5 + 1 - 3/16*a**4. Find u, given that z(u) = 0.
-2, 0, 1
Let a(l) = -l**3 + 7*l**2 + l - 5. Let c = 6 + 1. Let r be a(c). Factor 2/9*o**3 + 4/9*o + 0 + 2/3*o**r.
2*o*(o + 1)*(o + 2)/9
Let t**2 - 2*t**3 - t**2 + 6*t - 4*t**2 - 8*t = 0. Calculate t.
-1, 0
Suppose 5*r + 1 - 26 = 0. Let m(a) = a**2 + a + 3. Let b be m(0). Factor 0*p + r*p - b*p**2 - 5*p + 3.
-3*(p - 1)*(p + 1)
Let y(m) be the first derivative of -m**4/54 + m**2/9 - 5*m + 7. Let l(v) be the first derivative of y(v). Factor l(h).
-2*(h - 1)*(h + 1)/9
Let a(m) be the first derivative of -m**3/6 - m**2/4 - 9. Let a(p) = 0. What is p?
-1, 0
Let z = -17 + 22. What is v in -2*v**2 + 5*v**2 + z*v**2 - 2*v**3 - 8*v = 0?
0, 2
Let s = 63 + -755/12. Let w(q) be the third derivative of -1/24*q**4 + 0*q + 0*q**5 - q**2 + 0 - 1/420*q**7 + 1/120*q**6 + s*q**3. Factor w(p).
-(p - 1)**3*(p + 1)/2
Let b be 1/1 - (-5 - -4). Let c(y) be the third derivative of 0 - 1/12*y**4 + 0*y**5 + 0*y**3 + 0*y + 1/60*y**6 + y**b. Factor c(u).
2*u*(u - 1)*(u + 1)
Let w(o) = 18*o**4 + o**3 - 5*o**2 + 7*o. Let a(y) = 9*y**4 + y**3 - 3*y**2 + 3*y. Let b be (-1*5)/(-9 - -10). Let c(m) = b*a(m) + 2*w(m). Factor c(t).
-t*(t + 1)*(3*t - 1)**2
Let o be (-128)/(-120) - 8/20. Suppose -o*h**3 + 0 - 2/3*h + 4/3*h**2 = 0. What is h?
0, 1
Let y(l) be the third derivative of 1/672*l**8 + 0*l**3 - 1/840*l**7 + 0*l + 0*l**5 + 0*l**4 - 1/480*l**6 + 0 + 4*l**2. Find w such that y(w) = 0.
-1/2, 0, 1
Let f(p) be the second derivative of -p + 0 + 1/30*p**5 - p**2 + 0*p**3 + 1/60*p**6 - 1/6*p**4. Let y(o) be the first derivative of f(o). Factor y(d).
2*d*(d - 1)*(d + 2)
Let c(x) = 5*x - 3. Let h be c(2). Determine o, given that 0*o**3 - 3*o - 9*o**2 + o - h*o**3 = 0.
-1, -2/7, 0
Suppose -7 = -5*i - 3*f, i = -3*f + 5*f + 4. What is b in 2*b**i + 5*b**3 + 14*b**4 + 5*b**5 + 4*b**3 - 2*b**4 = 0?
-1, -2/5, 0
Let f(l) = -l + 2. Let u be f(2). Let y be 3 - ((-5)/(-25) + 1 + 1). Factor 2*h**3 + u + 14/5*h**2 + y*h.
2*h*(h + 1)*(5*h + 2)/5
Let v(b) = 23*b**2 + 6*b - 12. Let m(r) = -8*r**2 - 2*r + 4. Let c(t) = 17*m(t) + 6*v(t). Determine d so that c(d) = 0.
-2, 1
Let g(z) = 14*z - 81. Let q be g(6). Solve 0 + 0*i**q + 2/7*i**5 + 4/7*i**2 - 2/7*i - 4/7*i**4 = 0.
-1, 0, 1
Let w = 14209/820 + -16/205. Let v = 16 + 3/2. Let 0 + d + 25/4*d**5 - v*d**4 - 7*d**2 + w*d**3 = 0. What is d?
0, 2/5, 1
Let a(m) be the third derivative of -m**8/84 + m**7/15 - 3*m**6/20 + m**5/6 - m**4/12 + 7*m**2. Factor a(y).
-2*y*(y - 1)**3*(2*y - 1)
Factor 14/13*c - 32/13*c**3 + 2/13 + 16/13*c**2.
-2*(c - 1)*(4*c + 1)**2/13
Suppose g = 3*a - 4, -8*g + 3*g + 5*a = 0. Factor -s + 0 + 4*s - 3 + 10*s**g - 7*s**2 - 3*s**3.
-3*(s - 1)**2*(s + 1)
Factor 2/5*r**3 + 0*r**2 + 0*r + 1/5*r**4 + 0.
r**3*(r + 2)/5
Let g(h) be the third derivative of 5*h**7/14 + 17*h**6/12 + 19*h**5/12 - 5*h**4/6 - 10*h**3/3 - 21*h**2. Determine o, given that g(o) = 0.
-1, -2/3, 2/5
Let f(g) be the second derivative of -g**5/60 + g**4/18 + g**3/18 - g**2/3 + 10*g. Factor f(x).
-(x - 2)*(x - 1)*(x + 1)/3
Factor 4*v**3 + 4 + 236*v**2 - 2*v - 2*v**3 - 240*v**2.
2*(v - 2)*(v - 1)*(v + 1)
Let g(z) be the third derivative of 1/10*z**6 - 1/70*z**7 + 0 - 3/10*z**5 - 1/2*z**3 + 0*z + 8*z**2 + 1/2*z**4. Let g(k) = 0. What is k?
1
Factor 8/7*v**2 - 2/7*v**5 + 0 - 10/7*v**4 + 16/7*v - 12/7*v**3.
-2*v*(v - 1)*(v + 2)**3/7
Determine f so that 4/23 - 10/23*f**3 + 2/23*f**4 + 18/23*f**2 - 14/23*f = 0.
1, 2
Let b(t) be the second derivative of t**9/30240 - t**7/2520 + t**5/240 + t**4/6 - t. Let s(p) be the third derivative of b(p). Factor s(q).
(q - 1)**2*(q + 1)**2/2
Let f(q) = q**5 + q**4 + q. Let r(m) = 16*m**5 + 8*m**4 - 8*m**3 + 12*m. Let n(d) = 12*f(d) - r(d). Factor n(i).
-4*i**3*(i - 2)*(i + 1)
Let o be 14/(-8)*(-2)/14. Factor 3/4*l**4 + 0*l + 3/4*l**3 + 1/4*l**5 + 0 + o*l**2.
l**2*(l + 1)**3/4
Let k(n) = 3*n**3 + 2*n**2 - n + 4. Let o(a) = -a**3 - a**2 - 1. Let y(w) = -3*w + 6. Let x be y(6). Let l(s) = x*o(s) - 3*k(s). Suppose l(i) = 0. Calculate i.
-1, 0
Let g(p) be the third derivative of -1/20*p**5 + 0*p - 2*p**2 - 1/2*p**3 + 0 + 1/4*p**4. Factor g(u).
-3*(u - 1)**2
Determine w, given that 3/5 + 9/5*w + 9/5*w**2 + 3/5*w**3 = 0.
-1
Let p = -57 + 59. Let t(b) be the second derivative of 0*b**3 + 0*b**2 + 1/30*b**6 + 1/20*b**5 + p*b + 0*b**4 + 0. Let t(h) = 0. Calculate h.
-1, 0
Let w(t) be the third derivative of 1/112*t**8 + 0*t**4 - 3*t**2 + 0*t**6 + 0*t**3 + 0*t**5 + 1/70*t**7 + 0 + 0*t. Factor w(a).
3*a**4*(a + 1)
Let z(w) be the third derivative of -2*w**7/945 - w**6/216 + 7*w**5/540 + w**4/108 + 2*w**2. Factor z(s).
-s*(s - 1)*(s + 2)*(4*s + 1)/9
Let f = 2/91 - -176/273. Let r = -49 + 148/3. Factor r*n**2 + 0 + f*n.
n*(n + 2)/3
Let n = 0 - -1. Suppose d = 3*r - n, 2*r - r = 5*d - 9. Factor -5*q + d*q**2 + 6*q + q.
2*q*(q + 1)
Factor 0 + 1/6*g**3 - 1/6*g + 0*g**2.
g*(g - 1)*(g + 1)/6
Let d(u) be the second derivative of 1/21*u**7 + 0 - 1/10*u**5 - 1/15*u**6 + 0*u**2 - 2*u + 0*u**3 + 1/6*u**4. Let d(s) = 0. What is s?
-1, 0, 1
Let j(r) be the third derivative of -r**6/180 + r**5/24 - r**4/12 - r**3/6 + 3*r**2. Let f(u) be the first derivative of j(u). Let f(n) = 0. Calculate n.
1/2, 2
Let c(g) be the third derivative of 1/30*g**5 + 0*g - 1/6*g**4 + 2*g**2 + 0*g**3 + 0 - 1/35*g**7 + 1/15*g**6. Let c(l) = 0. What is l?
-2/3, 0, 1
Let h be 14/90 - (-41)/615. Factor -h*w**5 - 4/9*w**2 - 4/9*w**3 - 2/9 + 2/3*w**4 + 2/3*w.
-2*(w - 1)**4*(w + 1)/9
Factor 15/4*n**2 + 1/4 - 9/4*n - 7/4*n**3.
-(n - 1)**2*(7*n - 1)/4
Let k(j) be the first derivative of j**6/1620 + j**5/270 - 7*j**3/3 + 5. Let z(h) be the third derivative of k(h). Determine d so that z(d) = 0.
-2, 0
Let d(m) = m**3 + 3*m**2 + 9*m + 2. Let y be d(-6). Let n be ((-1)/(-4))/((-45)/y). Solve 8/9*g**3 + 4/3*g**2 + 2/9*g**4 + 2/9 + n*g = 0 for g.
-1
Let u be 1*((1 - -3) + -4). Factor -1 - r**3 + 1 + u*r**3 - r**4.
-r**3*(r + 1)
Suppose -3*j - 6 = -4*z, -2*z + 2*j - 2 = 3*j. Factor 0*g**3 + 0*g**2 + 1/2*g**5 + 0 + g**4 + z*g.
g**4*(g + 2)/2
Let i(h) be the first derivative of 2*h**3/33 - 5*h**2/11 + 8*h/11 + 10. Solve i(a) = 0.
1, 4
What is x in -24/5*x - 6/5*x**2 + 2*x**3 - 8/5 = 0?
-1, -2/5, 2
Let o(r) = -r**2 - 9*r. Let b be o(-9). Let u be -2*(-3 - (b + -2)). Let 1/2*d**u + 0 + 0*d = 0. What is d?
0
Let v = -2 + 11. Let s be (12/16)/(v/24). Let 11/2*j + 1 + 9/2*j**s = 0. Calculate j.
-1, -2/9
Let z(j) = 2*j - 5. Let i be z(4). Factor -1 - 4*b**4 - b + 5*b**2 + i*b**3 + 2*b - 4*b.
-(b - 1)**2*(b + 1)*(4*b + 1)
Let b(o) be the second derivative of -o**6/120 - o**5/80 + o**4/16 + 5*o**3/24 + o**2/4 + 6*o. Factor b(x).
-(x - 2)*(x + 1)**3/4
Let b(p) be the first derivative of 0*p**2 - 2/5*p + 2/15*p**3 - 3. Find d such that b(d) = 0.
-1, 1
Suppose -3*k + 0*k - w + 37 = 0, -3*w + 3 = 0. Let p = k - 9. Suppose -3*t**4 + 2*t - 8*t**2 + 0*t**p + 11*t**4 - 2*t