/210*h**5. Let q(g) be the second derivative of i(g). Factor q(r).
-2*(r - 1)**2/7
Suppose 0*f + 8 = 4*f + 4*w, -4*w = -3*f + 6. Let c(l) = -l + 1. Let u be c(1). Factor 2*q**4 + 8/5*q**f + 10*q**5 + 0*q - 32/5*q**3 + u.
2*q**2*(q + 1)*(5*q - 2)**2/5
Let r(a) = -7*a**2 + 2*a + 33. Let l(y) = -15*y**2 + 5*y + 65. Let m(i) = -3*l(i) + 5*r(i). Factor m(z).
5*(z - 2)*(2*z + 3)
Let l = -3 + 7. Suppose -20 = -l*o - 0*o. Factor 0*s**3 + 2/3*s**2 - 1/3*s - 2/3*s**4 + 0 + 1/3*s**o.
s*(s - 1)**3*(s + 1)/3
Let f(w) be the first derivative of 2*w**3/39 + w**2/13 - 4*w/13 - 9. Determine h, given that f(h) = 0.
-2, 1
Suppose -3*i + 5*i = 0. Suppose i = -5*j + 11 + 4. Factor -2*g - 3*g**j - 1 + 3*g**3 + 2*g**3 + g**4.
(g - 1)*(g + 1)**3
Let g(l) be the third derivative of -9*l**7/35 + 12*l**5/5 - 16*l**4/3 + 16*l**3/3 - 11*l**2. Suppose g(r) = 0. Calculate r.
-2, 2/3
Let j(g) be the first derivative of -g**4/10 + 2*g**3/15 - 18. Find p, given that j(p) = 0.
0, 1
Let s(g) = -2*g**3 + 4*g**2 + 2*g + 4. Let c(f) = 2*f**3 - 3*f**2 - 2*f - 3. Suppose 10 = 2*m + 2. Let u(i) = m*c(i) + 3*s(i). What is j in u(j) = 0?
-1, 0, 1
Let g(n) be the first derivative of -n**4/78 - n**3/39 + 6*n - 2. Let f(y) be the first derivative of g(y). Find i such that f(i) = 0.
-1, 0
Let k = 6 + -6. Let h be (0 - k)/(0 + -2). Let h*q + 0*q**2 + 0 + 0*q**3 - 2/3*q**5 + 2/3*q**4 = 0. Calculate q.
0, 1
Let t = -1487/12 + 124. Let r(h) be the first derivative of 1/16*h**4 - 1/8*h**2 + 1 - t*h**3 + 1/4*h. Find g such that r(g) = 0.
-1, 1
Let o = 1/8 + 3/8. Let v(u) be the second derivative of -o*u**2 + 5/6*u**4 - u + 0 - 3/10*u**6 + 0*u**5 + 0*u**3. Determine x, given that v(x) = 0.
-1, -1/3, 1/3, 1
Let q be -2 + -3*(-8)/12. Solve 1/2*h - 1/2*h**2 + q = 0.
0, 1
Factor -2/5*k**2 + 0*k + 2/5.
-2*(k - 1)*(k + 1)/5
Let m(c) be the second derivative of -1/60*c**5 + 1/45*c**6 + 0 + 4*c - 1/36*c**4 + 0*c**3 + 0*c**2. Solve m(z) = 0.
-1/2, 0, 1
Let w(r) = r**3 + 9*r**2 + r + 11. Let m be w(-9). Let x(l) be the first derivative of 2*l - 1/3*l**3 - m + 1/2*l**2. Factor x(a).
-(a - 2)*(a + 1)
Let u(g) be the second derivative of g**7/84 + g**6/30 - g**4/12 - g**3/12 + 7*g. Factor u(n).
n*(n - 1)*(n + 1)**3/2
Let c(u) = -u**3 + u**2 - u. Let f(g) = -g**3 + 4*g**2 - g. Let z = -5 - -7. Let i(s) = z*c(s) - f(s). Factor i(j).
-j*(j + 1)**2
Let c(p) = -p**3 + 3*p**2 - 3*p + 4. Let i be c(2). Let u be (10/(-12))/(-5)*i. Determine h so that 2/3*h**2 + u*h - 2/3 - 1/3*h**3 = 0.
-1, 1, 2
Let o = 24 - 20. Let f(p) be the first derivative of -2/5*p**5 - o*p**4 + 4/3*p**3 - 2*p + 4/3*p**6 + 2 + 4*p**2. Let f(v) = 0. What is v?
-1, 1/4, 1
Suppose -1/4*o**3 + 0 + 0*o - 3/4*o**2 = 0. Calculate o.
-3, 0
Let l(o) be the third derivative of 1/45*o**5 - 3*o**2 - 1/36*o**6 + 0*o**3 + 0*o**4 + 0 + 0*o. Factor l(w).
-2*w**2*(5*w - 2)/3
Let i(o) be the first derivative of -2*o**5/5 + o**4/2 + 2*o**3 - o**2 - 4*o + 7. Determine x, given that i(x) = 0.
-1, 1, 2
Solve 16 + 20*s**2 + 27*s - 2*s + 4*s**3 + 19*s - 12*s = 0.
-2, -1
Let z(t) = 5*t + 1. Let h be z(-1). Let x = 22/5 + h. Factor -6/5*j - 4/5*j**2 + 4/5*j**3 + x*j**5 - 2/5 + 6/5*j**4.
2*(j - 1)*(j + 1)**4/5
Let a = 13 + -9. Let m(w) be the first derivative of 8*w**3 + 4*w**a + 2*w - 15/2*w**2 + 1. Suppose m(f) = 0. What is f?
-2, 1/4
Let n(v) be the third derivative of -v**8/20160 - v**7/2520 - v**6/720 - v**5/60 + v**2. Let b(g) be the third derivative of n(g). Factor b(m).
-(m + 1)**2
Let s = -5 - -11. Suppose 4 - 7*x + 0 + s*x**2 - 3*x = 0. Calculate x.
2/3, 1
Suppose 12 = 3*s, -5*d + 16 = 4*s - 15. Factor -3*p**3 + 7*p**5 + 6*p**2 - 6*p**4 + d*p**5 - 7*p**5.
3*p**2*(p - 2)*(p - 1)*(p + 1)
Let f(v) = -v + 3. Let n be f(6). Let l be (n - 0)*5/(-3). What is t in -t**4 + 2*t + 2*t**l - 10*t**5 + 6*t**3 - 8*t**2 + 9*t**4 = 0?
-1, 0, 1/2, 1
Let t(n) be the first derivative of n**5/10 - n**4/4 - 2*n**3 - 7*n**2/2 - 5*n/2 - 48. Factor t(b).
(b - 5)*(b + 1)**3/2
Suppose 0 = 3*c + c - 48. Let g = -7 + c. Factor -3*l**g + l**3 + 2*l**5 + 2*l**5 + 0*l**3 - 2*l**4.
l**3*(l - 1)**2
Let f(i) be the third derivative of -3*i**8/112 + i**7/35 + 7*i**6/40 + i**5/10 - 4*i**2. Find r, given that f(r) = 0.
-1, -1/3, 0, 2
Let t(u) be the third derivative of -u**8/1512 - 4*u**7/945 - u**6/108 - u**5/135 + 6*u**2. Factor t(p).
-2*p**2*(p + 1)**2*(p + 2)/9
Let l(n) be the third derivative of -n**7/315 + n**6/180 + n**5/15 + 14*n**2. What is a in l(a) = 0?
-2, 0, 3
Let w(n) = -8*n + 120. Let f be w(15). Factor -16/5*v**4 + f - 32/5*v - 2/5*v**5 - 64/5*v**2 - 48/5*v**3.
-2*v*(v + 2)**4/5
Let l(k) be the first derivative of k**7/35 - k**6/40 - k**5/20 - 2*k**2 + 4. Let h(v) be the second derivative of l(v). Factor h(b).
3*b**2*(b - 1)*(2*b + 1)
Suppose -n + 18 = h, 0 = -4*n - 9*h + 4*h + 73. Let 12 - n - 3*g**3 + 5 + 6*g**2 = 0. What is g?
0, 2
Suppose 0 = -0*u + 6*u. Let p(w) be the third derivative of 0*w + 2*w**2 + 1/50*w**6 + 0*w**3 + u + 1/210*w**7 + 1/60*w**4 + 3/100*w**5. Factor p(m).
m*(m + 1)**2*(5*m + 2)/5
Suppose -2*x + 5 = -1. Factor -4 + 0*h**3 + 8*h - 2*h - 2*h**x.
-2*(h - 1)**2*(h + 2)
Let y(v) = 225*v**2 - 197*v + 19. Let z(f) = 78*f - 93*f**2 - 2 - 12*f - 4 + 18*f**2. Let w(m) = 6*y(m) + 17*z(m). Let w(x) = 0. Calculate x.
2/5
Let n(h) be the second derivative of h**8/336 - h**7/42 + h**6/15 - h**5/15 - 3*h**2/2 + h. Let v(a) be the first derivative of n(a). Factor v(o).
o**2*(o - 2)**2*(o - 1)
Let i be (2/6)/((-5)/(-45)). Let d be (-3)/2*-8*(-6)/(-108). Factor 0*h**2 + 0*h + d*h**i + 0.
2*h**3/3
Let a(j) be the first derivative of -j**6/180 - j**5/120 + j**4/72 + j**3/36 + 6*j - 4. Let r(p) be the first derivative of a(p). What is k in r(k) = 0?
-1, 0, 1
Let u(z) be the first derivative of -5*z**3/3 + z**2/2 + 1. Let q(f) = 41*f**2 - 8*f. Let v(l) = -6*q(l) - 51*u(l). Find x, given that v(x) = 0.
0, 1/3
Let -6*j**2 - 4*j**4 + 0*j**2 - 2*j**2 + 0*j**2 + 12*j**3 = 0. What is j?
0, 1, 2
Let b(x) = -3*x**3 - 5*x**2 - x - 4. Let k be b(-4). Let s be ((-8)/10)/(k/(-40)). Factor 4/7*v + s + 2/7*v**2.
2*(v + 1)**2/7
Let t(w) be the second derivative of -w**5/10 + w**4/6 + 4*w**3/3 - 4*w**2 - 2*w. Factor t(g).
-2*(g - 2)*(g - 1)*(g + 2)
Let d be (-1 - -8) + (-8)/2. Factor -3/5*j**3 + d*j - 9/5*j**2 - 6/5 + 3/5*j**4.
3*(j - 1)**3*(j + 2)/5
Let w = -9 - -12. Let o(p) = 0*p - 1 + 3 - 2*p. Let l(y) = -y**2 - 3*y + 3. Let u(t) = w*o(t) - 2*l(t). Solve u(a) = 0.
0
Let r(p) be the third derivative of 0*p**3 + 1/150*p**5 + 0 - 1/600*p**6 + 0*p - 1/120*p**4 + 4*p**2. Find k such that r(k) = 0.
0, 1
Let b(z) be the second derivative of z**7/3780 - z**6/540 + z**5/180 - z**4/108 - z**3/3 - z. Let j(m) be the second derivative of b(m). Factor j(g).
2*(g - 1)**3/9
Let d(y) be the first derivative of -3/4*y**4 + y + 2 + 1/2*y**2 - 5/12*y**3. Let p(k) be the first derivative of d(k). Factor p(c).
-(2*c + 1)*(9*c - 2)/2
Let x = 0 + 0. Let p be x + (-4)/(12/(-9)). What is b in -2*b**5 + b**2 - 4*b**3 - 3*b**2 + p*b**4 + 2*b**4 + 3*b**2 = 0?
0, 1/2, 1
Let w(g) be the second derivative of -1/2*g**2 - 1/12*g**3 + 0 - 4*g + 1/24*g**4. Factor w(a).
(a - 2)*(a + 1)/2
Let k = -104 - -104. Let q(h) be the third derivative of k*h + 1/120*h**6 - 1/60*h**5 - 1/672*h**8 + 1/12*h**3 - h**2 + 1/420*h**7 + 0 - 1/48*h**4. Factor q(t).
-(t - 1)**3*(t + 1)**2/2
Let g(r) be the first derivative of -3*r**4/8 - 9*r**3/2 - 81*r**2/4 - 81*r/2 + 2. Factor g(w).
-3*(w + 3)**3/2
Let o(q) be the first derivative of 4*q**3/5 + 33*q**2/10 + 18*q/5 - 24. Solve o(z) = 0 for z.
-2, -3/4
Let d be (5 - 5) + (-5772)/27. Let z = d - -214. Solve -2/3*k + z*k**2 + 4/9 = 0 for k.
1, 2
Suppose 2*h = -0*h - 8, 7 = -3*u - 4*h. Suppose 0 = 5*x - 0*x - u*s, 6 = -3*x + 3*s. Solve 1 - 2*m**2 + x*m - 1 - m = 0.
0, 1
Suppose 0*n + 2*m = 2*n, 27 = 5*n + 4*m. Suppose -2*r + r = b + n, -2*r - b = 1. Let -1/3*h**r + 4/3*h - 4/3 = 0. What is h?
2
Let x be -1 + 21/18 - 1/(-2). Find c such that -2/3*c**2 + x + 0*c = 0.
-1, 1
Let p(d) = 10*d**4 - 5*d**3 + 5*d**2 + 5. Let g(b) = b**5 + b**4 - b**3 + b**2 + 1. Let s(v) = -5*g(v) + p(v). Determine y so that s(y) = 0.
0, 1
Suppose 2*b**4 + 2*b**3 + 22*b**2 - 25*b**2 - 3*b - b**4 - b + 4 = 0. What is b?
-2, 1
Let u = 122/51 - 1/17. Let s(j) be the third derivative of 0*j - u*j**5 + 49/180*j**6 - 8/9*j**3 +