 19. Let 0 - 3*z**4 + 0*z - 9/4*z**c + 3/4*z**3 + 3/2*z**2 = 0. What is z?
-1, 0, 2/3
Let g(f) = -f**3 - 8*f**2 - 6*f + 6. Let r be g(-7). Let l be r*2/2 - -5. Factor 3*p**3 + p**2 - p - 2*p**3 + 0*p - p**l.
-p*(p - 1)**2*(p + 1)
Let p(u) be the second derivative of -u**5/180 + u**4/36 - u**3/18 + u**2/18 + 7*u. Find k, given that p(k) = 0.
1
Let i = -54 + 19. Let b be ((-28)/i)/((-4)/(-10)). Factor 2/5*c**b + 4/5*c + 2/5.
2*(c + 1)**2/5
Let t(c) be the first derivative of -1/2*c**4 + 0*c - 6/25*c**5 - 2/15*c**3 + 1/5*c**2 + 1. Let t(d) = 0. What is d?
-1, 0, 1/3
Let t(w) be the first derivative of -w**6/480 + w**5/80 - w**4/32 + w**3/24 + w**2/2 - 1. Let d(y) be the second derivative of t(y). Find o such that d(o) = 0.
1
Let d(r) be the second derivative of -3/50*r**5 + r + 0*r**2 + 1/15*r**3 + 2/105*r**7 - 1/30*r**4 + 0 + 1/75*r**6. Suppose d(h) = 0. Calculate h.
-1, 0, 1/2, 1
Let a(q) be the third derivative of 4*q**2 + 27/40*q**4 + 0 + 9/100*q**5 + 0*q + 27/10*q**3 + 1/200*q**6. Let a(f) = 0. Calculate f.
-3
Let u(f) be the first derivative of -f**3/6 - 3*f**2/4 - f + 7. Factor u(z).
-(z + 1)*(z + 2)/2
Let n be 135/130 + (-5 + 3)/2. Let p(y) be the first derivative of 0*y**3 + 4 + 0*y**2 + n*y**4 + 0*y. Solve p(l) = 0.
0
Suppose -3*u = -v, u - 2*u + 8 = -3*v. Let o = v + 7. Let -2*l**4 - 7*l**o - 4*l**5 + l**3 + 6*l**4 = 0. What is l?
-1, 0, 1/4
Let 1/3*i**2 + 0 + 1/3*i**3 - 1/3*i**4 - 1/3*i = 0. Calculate i.
-1, 0, 1
What is c in -3*c**4 - 32*c**2 + c**4 + 3*c**4 + 2*c**3 + 33*c**2 = 0?
-1, 0
Let r(j) = -j**3 + j + 1. Let d(s) = -2*s**2 - 2*s - 2. Let y(z) = d(z) + 2*r(z). Determine g, given that y(g) = 0.
-1, 0
Suppose 8*v - 6*v = 6. Suppose 6*l = 5*l + v. Factor -1/2*k**2 - 1/2*k**l + 1/2 + 1/2*k.
-(k - 1)*(k + 1)**2/2
Suppose -5*t + 14 = 5*x - 6, 0 = -2*x + 3*t - 12. Suppose x = 3*p - 0*p. Factor 2/3*h**3 + 4/3*h**4 + p*h + 0 + 0*h**2.
2*h**3*(2*h + 1)/3
Factor 7*r**2 - 7*r**5 + 5*r**4 - 2*r + 13*r**5 - 9*r**3 - 7*r**5.
-r*(r - 2)*(r - 1)**3
Let c be 12/(0/2 - -2). Let x be 26/c*(-3)/(-4). Suppose 1/4*n + 9/4*n**2 - 1/2 + 5/4*n**4 - x*n**3 = 0. What is n?
-2/5, 1
Let y = 107731/135 + -798. Let r(u) be the third derivative of -u**2 + 1/108*u**4 + 0 + 0*u**6 + 2/945*u**7 + 0*u**3 + 0*u - y*u**5 - 1/1512*u**8. Factor r(d).
-2*d*(d - 1)**3*(d + 1)/9
Suppose 0 = 7*k - 4*k - 9. Determine r so that 4*r**4 - r**k + 0*r**2 + 3*r**3 + 2*r**2 - 6*r**4 - 2*r = 0.
-1, 0, 1
Let i(c) be the second derivative of 7*c**4/12 + 8*c**3/3 + 6*c**2 - 2*c. Let w(q) = -6*q**2 - 15*q - 12. Let g(t) = 3*i(t) + 4*w(t). Let g(l) = 0. Calculate l.
-2
Let a(g) = -4*g**4 + 17*g**3 - 39*g**2 + 28*g - 5. Let b(d) = 4*d**4 - 16*d**3 + 40*d**2 - 28*d + 4. Let o(k) = 4*a(k) + 3*b(k). Determine f so that o(f) = 0.
1, 2
Let l(f) = 6*f**4 - 4*f**3 - 2*f**2 - 4*f + 4. Let r(m) = 0 + m**4 + 1 + 10*m**2 - m - 11*m**2. Let y(q) = -l(q) + 4*r(q). Solve y(s) = 0.
0, 1
Let z be (14/(-77))/((-9)/11). Factor 4/9*q**2 - 2/9 - 2/9*q**4 - z*q**5 + 4/9*q**3 - 2/9*q.
-2*(q - 1)**2*(q + 1)**3/9
Let o(k) be the third derivative of -k**6/900 + k**5/300 + k**4/30 - k**3/3 + 2*k**2. Let v(c) be the first derivative of o(c). Let v(m) = 0. Calculate m.
-1, 2
Let y(u) be the third derivative of u**5/12 + 25*u**4/24 + 5*u**3 + 24*u**2. Factor y(p).
5*(p + 2)*(p + 3)
What is y in 1/2 - y**3 - 3/2*y**4 - 1/2*y**5 + 3/2*y + y**2 = 0?
-1, 1
Let b(g) be the first derivative of g**5/130 + 7*g**4/78 + 5*g**3/13 + 9*g**2/13 - g - 2. Let i(t) be the first derivative of b(t). Factor i(v).
2*(v + 1)*(v + 3)**2/13
Let y(w) be the third derivative of -1/12*w**4 + 1/60*w**6 - 1/105*w**7 + 1/30*w**5 + 0 + 0*w - 5*w**2 + 0*w**3. Determine p, given that y(p) = 0.
-1, 0, 1
Suppose n + 3*n = 8. Let z(h) be the third derivative of 0*h + 2*h**n + 1/40*h**5 - 1/48*h**4 + 0*h**3 + 0. Suppose z(m) = 0. What is m?
0, 1/3
Let c be (-14)/(-3)*9/((-126)/(-4)). What is i in -1/3 + c*i**2 + i = 0?
-1, 1/4
Let x(b) be the second derivative of 5/54*b**4 - 1/135*b**6 + 1/30*b**5 - 1/189*b**7 + 2/27*b**3 + 0 - 2*b + 0*b**2. Determine z, given that x(z) = 0.
-1, 0, 2
Let g(m) = -m**2 + 7*m + 4. Let r be g(7). Suppose 2*q = 4*t - 0*q - 4, -3*t - r*q = -25. Let -t*o**2 - o**2 + o + 3*o**2 = 0. Calculate o.
0, 1
Suppose -18 + 2 = 4*w. Let i = w + 6. Factor 0*s**3 + 2*s**2 - 4*s**i - 4*s**3 - 2*s**4.
-2*s**2*(s + 1)**2
Let t be (3 - 2)/((-7)/(-14)). Determine i so that 4/5*i**3 + 0*i + 2/5*i**4 + 0 + 2/5*i**t = 0.
-1, 0
Let i be 13 - 3 - (-4 + 1). Let n = -25/2 + i. Solve -1/2*w**3 - 1/2*w**2 + 1/2*w**4 + 0*w + n*w**5 + 0 = 0.
-1, 0, 1
Let l(n) = -n - 1. Let a be l(-3). Let g(i) be the second derivative of -2*i - i**3 - 3/8*i**5 + 0*i**a + 1/20*i**6 + 0 + i**4. Factor g(b).
3*b*(b - 2)**2*(b - 1)/2
Let y = -26 + 38. Let n(j) be the first derivative of 2 - 3*j**4 - 8*j - 2/5*j**5 - y*j**2 - 26/3*j**3. Determine s so that n(s) = 0.
-2, -1
Let s(f) be the third derivative of -f**11/332640 + f**9/60480 + f**5/30 - f**2. Let n(b) be the third derivative of s(b). Factor n(x).
-x**3*(x - 1)*(x + 1)
Let y(v) be the first derivative of v**3/27 + v**2/18 - 2*v/9 - 23. Factor y(w).
(w - 1)*(w + 2)/9
Find p, given that 2*p - 10/7*p**3 - 4/7 - 10/7*p**2 - 4/7*p**5 + 2*p**4 = 0.
-1, 1/2, 1, 2
Let r be 1/(15/(-39)) + -3 + 6. Let d(g) be the first derivative of 0*g - r*g**5 - 1/2*g**4 - 1 + 2/3*g**3 + g**2. Let d(z) = 0. What is z?
-1, 0, 1
Factor 7 + 18 - 17 - 4*l**2 - 4*l.
-4*(l - 1)*(l + 2)
Factor -9/4 + 3/2*a - 1/4*a**2.
-(a - 3)**2/4
Suppose v + 6 = 2*v. Suppose 2*y - v = -y. Suppose 5*b**y - 6*b**2 - 1 + 2 = 0. Calculate b.
-1, 1
Let r(b) be the third derivative of 1/6*b**3 + 0*b - 3*b**2 + 1/24*b**4 + 1/240*b**5 + 0. Suppose r(f) = 0. Calculate f.
-2
Let h(i) be the first derivative of 512*i**3/27 - 32*i**2/9 + 2*i/9 + 14. Suppose h(a) = 0. What is a?
1/16
Let s = 97 - 287/3. Solve s - 10/3*k + 4/3*k**2 = 0.
1/2, 2
Let a(x) be the first derivative of 3/2*x**2 - 1/3*x**3 - 2*x - 2. Factor a(h).
-(h - 2)*(h - 1)
Factor 15*p**2 + 10*p - 14*p - p**3 + 7*p**3 - 2*p**3.
p*(p + 4)*(4*p - 1)
Let y = 281 - 547/2. Factor -9/2*n**3 + y*n**2 + 1/2 - 7/2*n.
-(n - 1)*(3*n - 1)**2/2
Let a(i) be the first derivative of 2 - 3/10*i**2 + 1/15*i**3 + 2/5*i. Determine h, given that a(h) = 0.
1, 2
Let c(s) be the first derivative of 0*s**2 + 2 + 1/14*s**4 + 2/21*s**3 + 0*s. Factor c(n).
2*n**2*(n + 1)/7
Factor 1/2 + r + 1/2*r**2.
(r + 1)**2/2
Let c(x) be the third derivative of -x**8/1512 + 4*x**7/945 - x**6/135 - x**5/135 + 5*x**4/108 - 2*x**3/27 - 4*x**2. What is l in c(l) = 0?
-1, 1, 2
Let w(n) be the third derivative of n**5/330 - n**4/66 - n**3/11 - 9*n**2. Determine y, given that w(y) = 0.
-1, 3
Solve -4/5*a**3 + 2/5*a**2 + 3/5*a - 2/5*a**4 + 0 + 1/5*a**5 = 0 for a.
-1, 0, 1, 3
Let z = 242 - 238. Determine m, given that -1/5*m**3 + 2/5*m**z + 0 - 1/5*m**5 + 0*m + 0*m**2 = 0.
0, 1
Let p(o) be the first derivative of -3*o**4/32 - 3*o**3/4 - 27*o**2/16 - 14. Factor p(h).
-3*h*(h + 3)**2/8
Let c(b) be the third derivative of -b**6/840 - b**5/140 + b**4/168 + b**3/14 + 5*b**2. Factor c(o).
-(o - 1)*(o + 1)*(o + 3)/7
Let q(f) = -2*f - 10. Let s be q(-8). Factor 6 - 6*x**2 + 6*x**2 + s*x**2 + 6*x**2 - 27*x.
3*(x - 2)*(4*x - 1)
Let o(n) be the first derivative of -1/9*n**3 + 1/6*n**2 + 3 - 1/12*n**4 + 1/15*n**5 + 0*n. Factor o(g).
g*(g - 1)**2*(g + 1)/3
Let o be (-9)/((30/(-4))/5). Let -o*i + 1 + i**2 + 1 + i**2 + 2*i = 0. What is i?
1
Let u(i) be the third derivative of 3*i**7/280 + i**6/40 + i**5/60 + 2*i**2. Factor u(d).
d**2*(3*d + 2)**2/4
Let f(u) = -u**2 + 9*u - 10. Let y be f(7). Solve 71 + s**2 - 71 + y*s = 0.
-4, 0
Suppose 5*z + 2 = -2*i - 17, -5*z - 16 = 3*i. Suppose -3*s + 5*b = 10, -7 = 5*s - 5*b + i. Factor 0 - 1/2*d**2 + s*d - 7/4*d**3 + d**4.
d**2*(d - 2)*(4*d + 1)/4
Let v = 17/29 + 2/145. Determine b, given that 0*b + v*b**4 + 3/5*b**2 + 0 + 6/5*b**3 = 0.
-1, 0
Let j be (-4)/6*(-168)/16. Let u = j + -7. Find m, given that m**2 + 0*m**2 + u - 1 = 0.
-1, 1
Let d be 242/110 - ((-2)/(-5))/2. Let g(y) be the second derivative of 0*y**d - 1/75*y**6 + 1/25*y**5 + 1/30*y**4 - y - 2/15*y**3 + 0. Factor g(u).
-2*u*(u - 2)*(u - 1)*(u + 1)/5
Let o = -30 - -30. Let n(l) be the first derivative of 3 + 0*l**2 + o*l + 1/15*l**3 - 1/20*l**4. Determine r so that n(