 -3*f(d) + 4*k(d). Find z, given that r(z) = 0.
-6, -1
Let m(r) = -r**3 - r**2 - r - 1. Let p(x) = -4*x**2 - 4*x. Suppose 2*j - 24 = -4*l, j = 3*l - 15 + 2. Let v(b) = j*m(b) - p(b). Suppose v(z) = 0. What is z?
-1, 1
Suppose 0 = t, 0 = -5*s + 2*s - 3*t. Factor 2/9*l**2 + 16/9*l**3 + 0*l + s + 32/9*l**4.
2*l**2*(4*l + 1)**2/9
Let l(q) = -4*q + 88. Let i be l(22). Factor i*c**3 - 2/9*c**4 + 0 + 0*c + 0*c**2.
-2*c**4/9
Let z(l) = -l**3 + l**2 + 5*l. Let t(w) = w**3 - 5*w. Let j(n) = -3*t(n) - 4*z(n). Determine d so that j(d) = 0.
-1, 0, 5
Suppose 5*v = -4*s + 13, -2*v + 4*v - s - 13 = 0. Determine l so that 3 - l + v*l - 2*l**2 - 3 = 0.
0, 2
Factor 1/2*o**2 + 0 + 0*o + 7/4*o**3 + 5/4*o**4.
o**2*(o + 1)*(5*o + 2)/4
Factor 4/11*s + 2/11 + 2/11*s**2.
2*(s + 1)**2/11
Suppose -3*z = 4*q - 5, -5*q + 8*q = 2*z - 9. Factor 5*u**z - 2*u**3 - 5*u**3 - 2*u**2 + 0*u**2.
-2*u**2*(u + 1)
Let u(j) be the third derivative of j**7/840 + j**6/240 - j**5/20 - j**4/8 - 3*j**2. Let k(r) be the second derivative of u(r). Factor k(a).
3*(a - 1)*(a + 2)
Let c(p) be the second derivative of p**6/252 + p**5/210 - p**3/2 - 4*p. Let y(b) be the second derivative of c(b). Factor y(h).
2*h*(5*h + 2)/7
What is s in -81/2*s**4 - 92*s**2 - 27/4*s**5 - 90*s**3 - 44*s - 8 = 0?
-2, -2/3
Suppose 88 = -5*k + c - 32, -2*k - 5*c = 48. Let w be (2/(-6))/(16/k). Factor -w*i - 1/2*i**2 + 1.
-(i - 1)*(i + 2)/2
Let k(s) be the first derivative of -2*s**3/13 - 11*s**2/13 - 12*s/13 + 1. Let k(n) = 0. What is n?
-3, -2/3
Let y(f) be the first derivative of 0*f**3 - f**2 + 0*f - 1 - 1/240*f**5 - 1/96*f**4. Let b(d) be the second derivative of y(d). Factor b(h).
-h*(h + 1)/4
Let z(h) be the second derivative of h**7/42 - h**5/20 + 6*h. Factor z(n).
n**3*(n - 1)*(n + 1)
Let d be (-1)/2 + (-26)/(-4). Factor -2*m**3 - 3*m + m**3 - d*m**2 - 9*m - 8.
-(m + 2)**3
Suppose 7*w - 11*w = 0. Factor 0*s + 0 + 1/2*s**3 + w*s**2.
s**3/2
Let x(t) be the second derivative of t**7/12600 + t**6/600 + 3*t**5/200 + t**4/4 - 5*t. Let c(i) be the third derivative of x(i). Factor c(l).
(l + 3)**2/5
Let k(j) = j**5 - j**4 + j**3 - j + 1. Let f(i) = -6*i**5 + 8*i**4 + 13*i**3 - 4*i**2 - i + 1. Let n(p) = -f(p) + k(p). Solve n(z) = 0.
-1, 0, 2/7, 2
Suppose 4*z = -3*j, -3*z - 13 = -2*j + j. Factor q + 4*q - q**5 + 3*q**4 + 2*q**2 + 2 - 5*q**4 - j*q**3 - 2*q**4.
-(q - 1)*(q + 1)**3*(q + 2)
Suppose -4*n + 8 = -0*n. Factor -4 + 2 + 1 + j**n.
(j - 1)*(j + 1)
Let d(i) be the first derivative of i**4/2 - 4*i**2 - 2. Determine c so that d(c) = 0.
-2, 0, 2
Let w(y) be the second derivative of -y**4/28 - y**3/14 + 3*y**2/7 + 2*y. Find m such that w(m) = 0.
-2, 1
Let y = -7 - -10. Let -y*u + 5*u**4 + 21*u**3 + 4*u**4 + 3*u**4 + 2*u**2 + 4*u**2 = 0. Calculate u.
-1, 0, 1/4
Let z = 9 - 4. Let m(i) = -i**2 - i. Let w(k) = -9*k**3 + 7*k**2 + 6*k + 2. Let y(d) = z*m(d) - w(d). Factor y(q).
(q - 2)*(3*q + 1)**2
Let d = -32 - -97/3. What is q in 2/3*q**2 + 2/3*q**3 + d + 1/3*q**5 - q**4 - q = 0?
-1, 1
Factor -8*z**2 + 30 + 2*z**4 - 10*z**2 + 3*z - 11*z - 6.
2*(z - 3)*(z - 1)*(z + 2)**2
Let r(f) be the second derivative of f**4/20 + 17*f**3/5 + 867*f**2/10 + 2*f - 19. Factor r(u).
3*(u + 17)**2/5
Let k(d) be the second derivative of -d**6/480 + d**5/120 - d**4/96 + d**2 + 3*d. Let b(w) be the first derivative of k(w). Let b(m) = 0. Calculate m.
0, 1
Let q be (-2)/20*(-2655)/6. Let x = -1561/36 + q. Suppose 8/9 - x*s + 2/9*s**2 = 0. What is s?
2
Solve 20/13*b**3 - 10/13*b**4 - 20/13*b**2 - 2/13 + 2/13*b**5 + 10/13*b = 0.
1
Let g(o) be the second derivative of o**5/90 - 13*o**4/18 + 169*o**3/9 - 2197*o**2/9 - 6*o. Factor g(p).
2*(p - 13)**3/9
Let d(r) be the first derivative of -r**5/20 + r**4/4 + 14. Factor d(v).
-v**3*(v - 4)/4
Let d(a) = 69*a**3 - 180*a**2 + 69*a - 6. Let s(r) = r**3 - r. Let v(x) = -d(x) - 6*s(x). Factor v(u).
-3*(u - 2)*(5*u - 1)**2
Let s(b) = b**2 + 12*b. Let l(j) = -8*j + 4. Let n be l(2). Let y be s(n). Find p such that y*p + 0 + 2/5*p**2 = 0.
0
Let b(u) = -9*u**5 + 6*u**4 - 2*u**3 - 6*u**2 + 4*u + 7. Let o(a) = -4*a**5 + 3*a**4 - a**3 - 3*a**2 + 2*a + 3. Let p(k) = 6*b(k) - 14*o(k). Factor p(v).
2*v*(v - 2)*(v - 1)**2*(v + 1)
Let m(z) be the second derivative of z**6/270 - z**5/30 - 2*z**4/27 + z**3/9 + 7*z**2/18 + 4*z - 8. Solve m(w) = 0 for w.
-1, 1, 7
Let 3*g**2 + 12*g + g**2 - 16 - 29 + 29 = 0. What is g?
-4, 1
Suppose 25 = 2*t + 3*t. Let u(h) be the second derivative of 0*h**2 - h + 0 + 1/54*h**4 - 1/90*h**t - 1/135*h**6 + 1/27*h**3. Factor u(n).
-2*n*(n - 1)*(n + 1)**2/9
What is z in 0*z + 4/9*z**4 + 4/3*z**3 + 8/9*z**2 + 0 = 0?
-2, -1, 0
Factor 6/11*q - 4/11 + 10/11*q**2.
2*(q + 1)*(5*q - 2)/11
Let l(h) be the second derivative of -h**6/75 - h**5/50 + 2*h**4/15 + 4*h**3/15 - 33*h. Factor l(m).
-2*m*(m - 2)*(m + 1)*(m + 2)/5
Let x(b) be the first derivative of b**6/30 + b**5/20 + 2*b + 2. Let q(d) be the first derivative of x(d). Factor q(g).
g**3*(g + 1)
Factor 21*l**4 + 4*l + 5*l - 4*l**2 + 19*l**2 + 3*l**3 - 24*l**4.
-3*l*(l - 3)*(l + 1)**2
Let o(q) = 4*q**3 - 2*q**2 + 8*q - 7. Let f(k) = -11*k**3 + 7*k**2 - 24*k + 20. Let j(d) = -3*f(d) - 8*o(d). Let j(y) = 0. Calculate y.
1, 2
Let g(p) = -4*p**2 + 4*p - 5. Let l(w) = -w**2 + w - 1. Suppose 35 + 5 = -3*k - 2*v, 4*v = -2*k - 40. Let y(b) = k*l(b) + 2*g(b). Suppose y(f) = 0. Calculate f.
0, 1
Let r(t) be the third derivative of -t**6/360 - t**5/60 + 2*t**3/9 + 16*t**2. Factor r(u).
-(u - 1)*(u + 2)**2/3
Determine v, given that 5*v**2 + 16*v - 27*v + 45 - 19*v = 0.
3
Solve 9*u**3 + 1 - 12*u**2 - 2*u**4 + 6*u**4 + 5 + 2*u**4 - 9*u = 0 for u.
-2, -1, 1/2, 1
Suppose 0*q**2 + 0*q - 10/3*q**3 - 5/3*q**4 + 5/3*q**5 + 0 = 0. Calculate q.
-1, 0, 2
Let j = -25 + 37. Suppose 5*l - 3 - j = 0. Factor 0*y**2 + 1/3*y + 0 - 1/3*y**l.
-y*(y - 1)*(y + 1)/3
Let r(c) = c**3 + 2*c**2 - c + 1. Let n be r(-2). Factor -3*z**2 + 68*z - 3*z**n - 68*z.
-3*z**2*(z + 1)
Let m(t) be the second derivative of -1/4*t**2 - 1/4*t**5 + 5*t - 5/12*t**4 - 5/12*t**3 - 1/12*t**6 + 0 - 1/84*t**7. Determine i so that m(i) = 0.
-1
Let k(j) be the third derivative of 3*j**2 + 1/672*j**8 + 0 - 1/16*j**4 + 1/60*j**5 + 1/120*j**6 + 1/12*j**3 - 1/140*j**7 + 0*j. Factor k(o).
(o - 1)**4*(o + 1)/2
Find m, given that 1/3*m + 5*m**3 + 0 - 7/3*m**2 - 3*m**4 = 0.
0, 1/3, 1
Let o(q) be the third derivative of 1/175*q**7 - 1/150*q**6 + 0 + 0*q**5 - 3*q**2 + 0*q + 0*q**3 + 0*q**4. Let o(f) = 0. What is f?
0, 2/3
Factor 2*o**3 + 3*o - 6*o - 4 + 0 - 3*o.
2*(o - 2)*(o + 1)**2
Let b(j) be the third derivative of j**7/1680 - j**6/480 - j**5/160 + j**4/48 + j**3/12 + 13*j**2. Let b(k) = 0. Calculate k.
-1, 2
Let w(z) be the third derivative of -z**6/30 + 4*z**5/5 - 7*z**4/2 + 20*z**3/3 + 37*z**2. Find o, given that w(o) = 0.
1, 10
What is t in 4*t**4 + 5*t**5 + 5*t - 20*t**2 - 7*t**3 - 6*t**3 + 3*t**3 + 6*t**4 + 10 = 0?
-2, -1, 1
Suppose 0 = 3*y - 5*o - 9, -3 = -2*y + y + 5*o. Factor y*w - 4*w - 4*w**2 + 2*w**2 - 5*w**3 + 4*w**3.
-w*(w + 1)**2
Let l = 3/4 - 1/12. Factor 0 + 2/3*c**3 - 4/3*c**2 + l*c.
2*c*(c - 1)**2/3
Suppose -4*k + 14 + 14 = 0. Let m(y) be the third derivative of 1/630*y**k - y**2 + 0*y - 1/120*y**6 + 1/90*y**5 + 0*y**4 + 0*y**3 + 0. Factor m(f).
f**2*(f - 2)*(f - 1)/3
Let k(m) be the second derivative of 0 - 1/60*m**5 + 0*m**3 - 1/45*m**6 + 2*m + 0*m**2 - 1/126*m**7 + 0*m**4. Solve k(y) = 0.
-1, 0
Let m(g) be the first derivative of g**3/2 - 3*g**2 + 6*g + 11. Factor m(u).
3*(u - 2)**2/2
Suppose -4*z = -3*b - 0*z, -3*z = 4*b - 25. Suppose -4*s + 3*o + 11 = 0, -b = -o + 5*o. Factor 0*p**5 - 10*p**3 + 10*p**s + 5*p**4 + 2*p**5 - 5*p + 1 - 3*p**5.
-(p - 1)**5
Let o(u) be the second derivative of -u**4/12 + u**3/3 - u**2/2 - 6*u. Factor o(f).
-(f - 1)**2
Let j(o) be the first derivative of -o**6/60 - o**5/15 - o**4/12 - o**2 + 1. Let y(m) be the second derivative of j(m). Solve y(b) = 0 for b.
-1, 0
Solve -11*a - 8*a - 3*a**5 + 3*a**4 + 9*a**3 + 13*a - 3*a**2 = 0.
-1, 0, 1, 2
Suppose b = 4*b - 6. Suppose 2*k**b + k - k**2 + 0*k = 0. What is k?
-1, 0
Let n(m) be the third derivative of -m**6/180 + m**4/9 - 6*m**2. Factor n(y).
-2*y*(y - 2)*(y + 2)/3
Let x(s) = 2*s - 1. Let u(c) = c**2 + 5*c + 1. Let t(v) = -u(v) + x(v). Factor t(p).
-(p + 1)*(p + 2)
Let p(w) = -w**2 + 4*w + 12. Let j(v) = -2*v**2 + 8*