**2 + 2 - 59*d**3.
(d - 2)*(d - 1)*(d + 1)**3
Let l(i) be the second derivative of -4*i**2 + 8/3*i**3 + 1/10*i**5 + 0 - 5/6*i**4 + 2*i. Solve l(v) = 0 for v.
1, 2
Let b be (3/4)/(7/28). Let s(v) = 7*v - 133. Let y be s(19). What is x in 0*x + y + 0*x**2 - 3/2*x**b = 0?
0
Let z(b) be the first derivative of 47 - 4/7*b**4 + 4/21*b**3 + 1/5*b**5 + 0*b**2 + 0*b. Factor z(s).
s**2*(s - 2)*(7*s - 2)/7
Let z(q) be the third derivative of q**5/12 - 10*q**3/3 - 49*q**2. Let z(f) = 0. Calculate f.
-2, 2
Suppose -5*a = -8*a + 10*a. Let -1/6*n**3 + 0 + 1/6*n**2 + a*n = 0. Calculate n.
0, 1
Let k = 9 - 15. Let x = -2 - k. Determine w, given that 2*w**2 + 55 - x*w**2 - 55 - 2*w**3 = 0.
-1, 0
Let l(y) be the third derivative of -y**8/10080 + y**6/90 - y**5/10 - y**4/12 - 31*y**2. Let w(h) be the third derivative of l(h). Let w(v) = 0. What is v?
-2, 2
Let y(z) be the third derivative of -z**8/420 - 22*z**7/525 - 3*z**6/25 + 2*z**5/75 + 19*z**4/30 + 6*z**3/5 + 943*z**2. Suppose y(p) = 0. What is p?
-9, -1, 1
Let x be (136/32 + -5)/((-25)/1080). Solve -x*d**3 - 88/5*d - 54/5*d**4 - 16/5 - 36*d**2 = 0 for d.
-1, -2/3
Let g(o) be the third derivative of -o**7/3780 - o**6/1620 + o**5/90 + 5*o**3/6 - 18*o**2. Let q(b) be the first derivative of g(b). Factor q(u).
-2*u*(u - 2)*(u + 3)/9
Let x(p) be the first derivative of p**4/4 + 23*p**3/3 + 143*p**2/2 + 121*p - 1008. Factor x(t).
(t + 1)*(t + 11)**2
Let r(p) = 2*p**2 + 8*p - 22. Let f(w) be the second derivative of -17/6*w**3 - 1/4*w**4 + 43/2*w**2 + 0 + 6*w. Let i(o) = 4*f(o) + 7*r(o). Solve i(h) = 0.
3
Let i(f) be the second derivative of -1/36*f**3 - 5/72*f**4 - 1/30*f**5 + 0 + 0*f**2 - 9*f. Solve i(v) = 0 for v.
-1, -1/4, 0
Let g(t) be the third derivative of 64*t**5/45 - 4*t**4/9 + t**3/18 - 39*t**2. Let g(p) = 0. What is p?
1/16
Suppose -f - 4*f + 15 = 0. Let b be -1 + f/(3/4). Factor -1 + 1 + 7*y**2 - 1 - 2*y - 4*y**b.
-(y - 1)**2*(4*y + 1)
Let a(m) = -m**2 + m + 1. Let v(g) = 2*g**2 - 3. Let s(w) = 3*a(w) + v(w). Let s(k) = 0. Calculate k.
0, 3
Let z(q) = 6*q - 13. Let h be z(4). Suppose 3 - h = -2*g. Let 14/5*d**3 - 4/5 - 14/5*d + 22/5*d**2 - 18/5*d**g = 0. What is d?
-1, -2/9, 1
Let f be 3/(2 - 13/6). Let o be ((-2)/3)/(12/f). Factor -12 - 3 - 9*l**2 - o - 10*l - 14*l - l**3.
-(l + 1)*(l + 4)**2
Let v(b) be the first derivative of -5/3*b**3 + 5*b**2 + 0*b - 7 - 5/4*b**4. Let v(o) = 0. What is o?
-2, 0, 1
Let x = 177 - 174. Let k(j) be the first derivative of 2/25*j**5 + 2/15*j**x + 1/5*j**4 - 2 + 0*j + 0*j**2. Factor k(m).
2*m**2*(m + 1)**2/5
Suppose 42 = 5*h - 2*h - 5*n, 0 = -3*h - 2*n + 42. Factor h*p**3 + p - 9*p**3 - 6*p**3.
-p*(p - 1)*(p + 1)
Let v(o) be the third derivative of -o**5/60 - 49*o**4/24 - 47*o**3/3 + 89*o**2 - 3. Solve v(u) = 0 for u.
-47, -2
Let i(x) = -6*x**2 + 4*x - 2. Let v(p) = -17*p**2 + 12*p - 6. Let b(j) = -2*j - 5*j - j**2 + 3 + 2. Let q be b(-6). Let z(c) = q*i(c) - 4*v(c). Factor z(y).
2*(y - 1)**2
Let p(d) be the third derivative of 1/14*d**3 + 0*d + 3/56*d**4 + 1/280*d**6 + 0 - 2*d**2 + 3/140*d**5. Find b such that p(b) = 0.
-1
Suppose 5*l + 45 = 5*b, -2*b - 2*l + 18 = -3*l. Factor -b - 2*h**3 + h**3 + 4*h - h**2 + 13.
-(h - 2)*(h + 1)*(h + 2)
Let d(b) be the third derivative of -b**7/420 - 13*b**6/360 - 13*b**5/360 + 13*b**4/72 + 4*b**3/9 - 2*b**2 - 1. Let d(p) = 0. Calculate p.
-8, -1, -2/3, 1
Let c(x) be the first derivative of x**6/360 + x**2 - 11. Let a(k) be the second derivative of c(k). Find u such that a(u) = 0.
0
Let x = 16 - 3. Let c = -6 + x. Determine y, given that 4*y + 27*y**3 - 2 + 13*y**2 - 2*y + 23*y**4 + c*y**5 + 2 = 0.
-1, -2/7, 0
Let z(b) be the second derivative of b**6/120 - 7*b**5/16 + 323*b**4/48 - 289*b**3/24 + 12*b + 3. Factor z(r).
r*(r - 17)**2*(r - 1)/4
Let k(u) be the third derivative of 0 + 50*u**2 + 1/150*u**5 + 1/60*u**4 - 2/15*u**3 + 0*u. Factor k(g).
2*(g - 1)*(g + 2)/5
Let y(f) be the third derivative of f**6/1140 + f**5/570 - 5*f**4/228 + f**3/19 - 97*f**2. Factor y(h).
2*(h - 1)**2*(h + 3)/19
Suppose 0*f**3 + 2/13*f**5 + 0*f + 0 + 0*f**2 + 2/13*f**4 = 0. What is f?
-1, 0
Suppose -10 = 13*k - 8*k. Let t be 1/(-6)*-6 - 6/k. Factor 7/3*o**3 - 4/3*o + t*o**2 + 0.
o*(o + 2)*(7*o - 2)/3
Let t be ((-2 - 4845/(-1210)) + -2)*-3. Let o = t - -1473/1694. Factor 0*i + 0*i**4 + 9/7*i**3 - 3/7*i**5 + o*i**2 + 0.
-3*i**2*(i - 2)*(i + 1)**2/7
Let x be (22/40 - 81/108)/(-1). Factor 4/5*l - x*l**3 + 0 + 0*l**2.
-l*(l - 2)*(l + 2)/5
Factor 492 - 4*k**5 - 1479 + 28*k**3 + 8*k**4 + 16*k**2 + 497 + 490.
-4*k**2*(k - 4)*(k + 1)**2
Let u(a) = 4*a**3 - 12*a**2 + 8. Let f = 74 + -50. Let q be (4/3)/(4/f). Let v(n) = n**3 - 4*n**2 + 3. Let w(y) = q*v(y) - 3*u(y). Suppose w(i) = 0. What is i?
0, 1
Let r(z) be the second derivative of -1/48*z**4 - 16*z + 0*z**2 + 0 + 1/120*z**6 + 1/24*z**3 - 1/80*z**5. Factor r(a).
a*(a - 1)**2*(a + 1)/4
Factor 0 + 12/7*h - 1/7*h**4 + 16/7*h**2 + 3/7*h**3.
-h*(h - 6)*(h + 1)*(h + 2)/7
Let x(i) = 2*i**5 - 14*i**4 + 16*i**3 + 32*i**2 + 6*i - 6. Suppose 11 = 3*a + 29. Let s(h) = -h**5 + h**4 - h + 1. Let o(m) = a*s(m) - x(m). Factor o(f).
4*f**2*(f - 2)*(f + 2)**2
Let c(i) be the first derivative of 3/8*i**4 + i**3 + 3/4*i**2 + 0*i - 48. Suppose c(z) = 0. Calculate z.
-1, 0
Let i(q) = -q - 4. Let x be i(-4). Suppose x*y + 6 = 3*y. Find z such that 2*z**5 - 3*z**4 - 2*z**y + 3*z**4 + 2*z**4 - 2*z**3 = 0.
-1, 0, 1
Suppose 5*q + 5*m = q + 18, -5*q - m + 12 = 0. Factor -5/2*a**q - a + 0 - 3/2*a**3.
-a*(a + 1)*(3*a + 2)/2
Let m(j) be the first derivative of j**4/14 - 4*j**3/21 + j**2/7 + 42*j - 8. Let l(f) be the first derivative of m(f). Solve l(n) = 0.
1/3, 1
Factor 35*d**4 - 650*d + 95*d**3 + 313*d + 317*d + 40*d**2.
5*d*(d + 1)*(d + 2)*(7*d - 2)
Factor -6*o**3 + o**4 + o**4 - 128 + 2*o**2 + 124 + 6*o.
2*(o - 2)*(o - 1)**2*(o + 1)
Let v = -24135/7 + 3453. Factor -v*h**5 - 64/7*h**3 + 12*h**4 + 16/7*h**2 + 0 + 0*h.
-4*h**2*(h - 1)*(3*h - 2)**2/7
Let f(l) be the third derivative of -5*l**8/336 - 32*l**7/21 - 64*l**6 - 4096*l**5/3 - 40960*l**4/3 - 6*l**2 + 2*l. Let f(y) = 0. Calculate y.
-16, 0
Let t be -2 + (-1 - -1) - (-22)/2. Let a(w) = 9*w**2 + 50*w - 12. Let m(n) = -5*n**2 - 25*n + 6. Let o(d) = t*m(d) + 4*a(d). Factor o(p).
-(p + 3)*(9*p - 2)
Let l = -5615 + 5618. Factor -2/7*c**4 + 250/7 - 120/7*c**2 - 4*c**l - 100/7*c.
-2*(c - 1)*(c + 5)**3/7
Factor -1/2*x**2 - 3200 - 80*x.
-(x + 80)**2/2
Let f be ((-2985)/45)/((-28)/(-6)). Let k = -47/7 - f. Determine b, given that 1/2 + 0*b - 5*b**2 + 10*b**3 - k*b**4 + 2*b**5 = 0.
-1/4, 1
Let c(x) be the second derivative of x**5/300 - x**4/60 - x**2 + 16*x. Let d(y) be the first derivative of c(y). Suppose d(l) = 0. Calculate l.
0, 2
Let c(n) be the third derivative of n**8/6720 - n**5/30 + 5*n**2. Let j(y) be the third derivative of c(y). Factor j(u).
3*u**2
Let h(b) be the second derivative of -b**6/10 - 9*b**5/20 - b**4/4 + 3*b**3/2 + 3*b**2 + 284*b. Determine m so that h(m) = 0.
-2, -1, 1
Let n = -47 + 50. Let h be (n/15)/(2/5) + 0. Factor i**3 + 1/4*i**5 + 1/2 - i**4 + h*i**2 - 5/4*i.
(i - 2)*(i - 1)**3*(i + 1)/4
Factor 8/3*d**2 - 88/3*d - 64 + 2/3*d**3.
2*(d - 6)*(d + 2)*(d + 8)/3
Let r = 17/86 + 259/430. Factor -24/5 - 28/5*g - r*g**2.
-4*(g + 1)*(g + 6)/5
Solve 6/7*r + 1/7*r**5 + r**2 - 3/7*r**4 - 3/7*r**3 + 0 = 0 for r.
-1, 0, 2, 3
Let b be (1/(-2))/((1*-2)/1). Let g(d) be the second derivative of -3/4*d**2 + 1/8*d**4 + b*d**3 - 3/40*d**5 - 5*d + 0. Find p, given that g(p) = 0.
-1, 1
Solve 0 + 16/23*k**4 - 80/23*k**2 + 50/23*k + 12/23*k**3 + 2/23*k**5 = 0 for k.
-5, 0, 1
Let f(z) = z**3 + 2*z**2 - 4*z - 4. Let n be f(-3). Let h be ((-2)/(-18))/(n/(-24)). Determine r, given that h*r + 16/3 + 1/3*r**2 = 0.
-4
Let -17/10*w**2 + 3/5*w - 1/10*w**3 - 1/2*w**5 + 0 + 17/10*w**4 = 0. What is w?
-1, 0, 2/5, 1, 3
Suppose 106 = -25*w + 78*w. Factor 0 - 1/3*t - 1/3*t**w.
-t*(t + 1)/3
Suppose -44*h = -41*h - 6. Let x(g) be the second derivative of 2/105*g**6 + 3/35*g**5 + 0*g**h + 0 + 2/21*g**4 + 0*g**3 + 4*g. Factor x(y).
4*y**2*(y + 1)*(y + 2)/7
Suppose 1/7*b**2 + 1/7*b + 0 = 0. Calculate b.
-1, 0
Let m = 63 - 34. Let w = m + -85/3. Factor 4/3*l + w + 2/3*l**2.
2*(l + 1)**2/3
Find y, given that 4/9*y**2 + 1/9*y**4 + 0 + 0*y - 5/9*y**3 = 0.
0, 1, 4
Let j(c) = c**5 - 2*c**4 + c**3 + c**2 + 1.