 0*u + 2/21*u**3 + 1/28*u**4 + 0*u**5 - 1/420*u**6 + 3*u**2 + 0. Suppose z(a) = 0. What is a?
-1, 2
Let w(y) be the third derivative of -y**5/300 + y**4/24 - 2*y**3/15 - 7*y**2. Factor w(m).
-(m - 4)*(m - 1)/5
Let u be -4 + (26/4 - 2). What is i in -1/2 - u*i**4 - 2*i - 2*i**3 - 3*i**2 = 0?
-1
Let g(l) = 3*l**2 + l - 2. Let c be g(-2). Factor 10*u**4 - c*u**3 + 4*u - 28*u**4 - 10*u**2 - 24*u**3.
-2*u*(u + 1)**2*(9*u - 2)
Suppose -3*f + 59 = -22. Factor f*l + l**2 - l**3 - 27*l.
-l**2*(l - 1)
Let h(i) be the third derivative of i**2 + 0*i - 1/35*i**7 - 1/12*i**4 + 0*i**3 - 1/60*i**6 + 0 + 1/10*i**5 + 1/84*i**8. Find c such that h(c) = 0.
-1, 0, 1/2, 1
Let k(n) = 20*n**3 + 49*n**2 + 27*n - 6. Let f(u) = 61*u**3 + 146*u**2 + 81*u - 18. Let h(y) = -2*f(y) + 7*k(y). Let h(l) = 0. Calculate l.
-2, -1, 1/6
Factor 6/5*j**2 - 12/5 - 18/5*j + 18/5*j**3 + 6/5*j**4.
6*(j - 1)*(j + 1)**2*(j + 2)/5
Let o = 195 + -76. Factor -4*k + 10 - o*k**3 - 2 - 2*k**2 + 120*k**3.
(k - 2)**2*(k + 2)
Let j(g) = 9*g**3 + 5*g**2 - 7*g + 3. Let w(b) = 8*b**3 + 4*b**2 - 8*b + 4. Let r(n) = 4*j(n) - 5*w(n). Let r(k) = 0. Calculate k.
-2, 1
Let x = 8587/45 + -191. Let l = x - -16/9. Factor l*q - 2/5 + 8/5*q**3 - 12/5*q**2 - 2/5*q**4.
-2*(q - 1)**4/5
Let u(f) be the second derivative of 2*f**7/21 + 2*f**6/15 - f**5 + f**4 + 3*f + 4. Factor u(q).
4*q**2*(q - 1)**2*(q + 3)
Suppose 0 = 3*p + 5*i - 176 + 190, -4*p - 8 = 4*i. Let 2/7*n + 2/7*n**5 + 12/7*n**3 + 0 - 8/7*n**4 - 8/7*n**p = 0. What is n?
0, 1
Let p(z) = -z + 5. Let g be p(6). Let r be (1 - 4/4)/g. Find f, given that -1/3*f**2 + r - 1/3*f = 0.
-1, 0
Let z(d) be the third derivative of 2*d**2 - 1/150*d**5 + 0*d**3 + 0*d**4 + 0 - 1/525*d**7 + 0*d + 1/150*d**6. Factor z(h).
-2*h**2*(h - 1)**2/5
Let d(k) = k**4 + k**2 + k. Let y(j) = 3*j**4 + 9*j**3 + 3*j**2 - 3*j + 6. Let c(n) = -6*d(n) + y(n). What is s in c(s) = 0?
-1, 1, 2
Suppose -24 = -3*o - y, -2*y + 0*y = 0. Suppose -o = -4*n - 0*n. Factor 2/5*z**n + 2/5 + 4/5*z.
2*(z + 1)**2/5
Suppose -f = -2*g + 9, 5*g = f + 2 + 19. Factor -4*c**2 - 1 + g*c**5 + 0*c**5 + 2*c**4 + 3 - 2*c**5 - 4*c**3 + 2*c.
2*(c - 1)**2*(c + 1)**3
Let a(h) be the first derivative of h**5/60 + h**4/6 + 2*h**3/3 - h**2/2 - 1. Let w(i) be the second derivative of a(i). Solve w(d) = 0.
-2
Let f(n) = n**2 + n. Let p(s) = -s**2 + 5*s. Let m be p(6). Let b(j) = -j**4 + 2*j**3 + 6*j**2 + 6*j. Let l(y) = m*f(y) + b(y). Factor l(a).
-a**3*(a - 2)
Let k be 0/(2/2) - (-238)/1071. What is m in 0 - 1/3*m**2 - k*m + 1/3*m**4 + 1/9*m**3 + 1/9*m**5 = 0?
-2, -1, 0, 1
Let k(d) = -3*d + 3. Let l be k(1). Determine h, given that l*h + 1/4*h**2 + 0 = 0.
0
Suppose -3*u - 3*s - 6 = 0, 3*s - s + 4 = 0. Let n(y) be the second derivative of 1/10*y**5 + 0*y**2 - 1/15*y**6 + y - 1/3*y**3 + u + 1/6*y**4. Factor n(h).
-2*h*(h - 1)**2*(h + 1)
Let u(f) be the second derivative of f**6/60 + f**5/40 - f**4/4 - f**3/3 + 2*f**2 - 8*f - 1. Factor u(a).
(a - 2)*(a - 1)*(a + 2)**2/2
Let b(v) be the third derivative of v**8/336 - v**7/210 - v**6/40 + v**5/60 + v**4/12 - 19*v**2. Suppose b(j) = 0. What is j?
-1, 0, 1, 2
Let b be 0 + 3 + -1 + 1. Suppose 21 = b*k - 9. Let 5 + 4 - k*u - 14*u**2 - 5 = 0. Calculate u.
-1, 2/7
Let o be 2/(-4)*(-25)/50. Factor 1/2*c + 1/4 + o*c**2.
(c + 1)**2/4
Let v = -1/130 - -197/260. Factor 0*r + 0 - v*r**2.
-3*r**2/4
Let f be ((-6)/(-4))/((-21)/28). Let x be f/(-8) + (-14)/504. Factor 4/9*g**3 + x - 4/9*g - 2/9*g**4 + 0*g**2.
-2*(g - 1)**3*(g + 1)/9
Let m = -5 + 5. Determine i so that 0*i + m*i**2 + 4*i + 2*i**2 - 4*i**2 = 0.
0, 2
Factor 101*x**3 - 6*x**4 - 5*x - 4*x**4 + 10*x**2 - 101*x**3 + 5*x**5.
5*x*(x - 1)**3*(x + 1)
Let f = 3 + -3. Suppose 2*c = -f*c. Determine y, given that c + 2/9*y**4 + 0*y**3 + 0*y + 0*y**2 = 0.
0
Let w(y) be the second derivative of y**7/189 + 4*y**6/135 + 2*y**5/45 - y**4/27 - 5*y**3/27 - 2*y**2/9 - 24*y. Determine h, given that w(h) = 0.
-2, -1, 1
Suppose 21 + 30 = 3*o + 5*k, 3*k = 5*o - 51. Suppose -o = -6*t + 2*t. Factor -d**2 - d**2 - 4*d**t - 2*d**4 + 0*d**4.
-2*d**2*(d + 1)**2
Let w(v) be the second derivative of 5*v**4/6 - 2*v**3/3 + 9*v. Determine j, given that w(j) = 0.
0, 2/5
Let -25/4 + 35/4*r - 11/4*r**2 + 1/4*r**3 = 0. Calculate r.
1, 5
Let p be 3 + 5 + 1 + -3. Let v(q) be the first derivative of 1/8*q**p + 0*q**2 + 3 - 3/16*q**4 + 0*q + 0*q**3 + 0*q**5. Suppose v(l) = 0. What is l?
-1, 0, 1
Let m(p) be the third derivative of p**5/270 + p**4/27 + p**3/9 - 2*p**2. What is d in m(d) = 0?
-3, -1
Let t = 9/32 + 1/224. Let r(j) be the first derivative of 1/14*j**4 + 3 + 3/7*j**2 + 2/7*j + t*j**3. Suppose r(w) = 0. Calculate w.
-1
Let k be ((-6)/8)/(3/(-8)). Let o(n) be the first derivative of -2/3*n**3 - 1 + 0*n - k*n**2 + 3/4*n**4 + 1/2*n**5 + 1/12*n**6. Factor o(j).
j*(j - 1)*(j + 2)**3/2
Let h(d) = -5*d**2 + 6 + d**2 - 4*d**2 - 2*d**3. Let w(m) = -m**2 + 5*m - 5. Let y be w(4). Let t(x) = x**2 - 1. Let q(l) = y*h(l) - 6*t(l). Factor q(j).
2*j**2*(j + 1)
Factor -4*c - 45/2*c**3 - 39/2*c**2 + 25/8*c**4 + 0.
c*(c - 8)*(5*c + 2)**2/8
Suppose 4 = 3*b - b. What is w in 8/5*w**b - 2/5 + 4/5*w - 6/5*w**4 - 4/5*w**3 = 0?
-1, 1/3, 1
Let c = -328 - -328. Suppose -1/5*j**2 + 0*j + c = 0. What is j?
0
Let p = 7 - 7. Let i(c) be the second derivative of -1/40*c**5 + 2*c + 1/4*c**2 - 1/4*c**3 + p + 1/8*c**4. Factor i(h).
-(h - 1)**3/2
Let y = 13/15 - 7/60. Let 1/4*m**3 + y*m + 1/4 + 3/4*m**2 = 0. Calculate m.
-1
Suppose 3*r + 5*o - 26 = 0, 0 = -3*r + o - 3*o + 14. Let d(c) = -c**2 + 2*c + 2. Let h(q) = -2*q**2 + 3*q + 3. Let k(v) = r*h(v) - 3*d(v). Factor k(u).
-u**2
Let a be (-2)/((-3)/(-9) - 1). Determine k, given that k**2 - 2*k**2 - k + a*k = 0.
0, 2
Let t(k) be the third derivative of 0 - 1/12*k**4 - 5*k**2 + 0*k + 1/20*k**5 + 1/120*k**6 + 1/336*k**8 - 1/70*k**7 + 0*k**3. Factor t(q).
q*(q - 2)*(q - 1)**2*(q + 1)
Let v(w) be the first derivative of -2*w**3/15 - w**2/5 + 1. Let v(h) = 0. What is h?
-1, 0
Suppose 45 - 3 = 7*u. Let k be ((-4)/6)/1*-3. Factor 1 + 6*y**3 - y**k - y**3 - u*y**3 + y.
-(y - 1)*(y + 1)**2
Suppose 4 - 20 = -4*s. Factor 3*v**3 + 2*v - 2 - v - 2*v**3 + s*v - 4*v**2.
(v - 2)*(v - 1)**2
Let a = -999 - -7009/7. Solve -a - 4/7*v**2 + 20/7*v = 0 for v.
1, 4
Let h(m) be the second derivative of -1/180*m**6 + 1/12*m**2 + 0 + 1/18*m**3 + 0*m**4 - 1/60*m**5 + 5*m. What is n in h(n) = 0?
-1, 1
Let d(j) be the third derivative of 0*j + 0*j**3 - 1/84*j**4 - j**2 - 1/70*j**5 + 0 - 1/735*j**7 - 1/140*j**6. Factor d(z).
-2*z*(z + 1)**3/7
Let d(z) be the first derivative of -z**6/300 - z**5/150 + z**4/60 + z**3/15 - 3*z**2/2 - 4. Let p(r) be the second derivative of d(r). Solve p(h) = 0.
-1, 1
Let r(i) be the third derivative of -i**7/210 + i**6/40 - i**5/20 + i**4/24 + i**2. Suppose r(j) = 0. Calculate j.
0, 1
Let z be (-2)/9 - 39/(-54). Let q(i) be the first derivative of z*i**2 - 2/3*i**3 - 2 + 0*i + 1/4*i**4. Factor q(p).
p*(p - 1)**2
Suppose 0 = -7*k + 4*k + 15. Suppose x - k*m + 5 = 0, 0 = 3*x - 3*m - 3 - 6. What is t in 3 - 3*t**4 - 2*t**3 + t**3 + 6*t - x*t**3 + 0*t = 0?
-1, 1
Let c(n) = n**2 - 10*n + 26. Let k be c(6). Solve 2/3 - 2/3*s**k + 3*s**3 - 3*s = 0 for s.
-1, 2/9, 1
Factor -2/3 + 2/3*p + 2/3*p**2 - 2/3*p**3.
-2*(p - 1)**2*(p + 1)/3
Let u(n) = -n**5 - n**2. Let l(o) = 4*o**5 + 3*o**4 - 9*o**3 - 2*o**2 + 6*o. Let i(s) = l(s) + u(s). Factor i(q).
3*q*(q - 1)**2*(q + 1)*(q + 2)
Let u(r) be the first derivative of -3*r + 0*r**2 + 1/66*r**4 - 1 + 1/33*r**3. Let v(p) be the first derivative of u(p). Factor v(z).
2*z*(z + 1)/11
Let u(y) be the second derivative of -y**5/20 + y**4/8 + y**2 + 7*y. Let v(b) be the first derivative of u(b). Factor v(k).
-3*k*(k - 1)
Suppose -4*d + 16 = -0*d. Let f(r) be the second derivative of 2*r - r**2 - 1/2*r**3 + 0 - 1/12*r**d. Factor f(s).
-(s + 1)*(s + 2)
Suppose -4*j - 7 = 17. Let m(o) = 21*o**3 + 6*o + 6. Let n(u) = -u**4 - u**3 - u**2 - u - 1. Let i(q) = j*n(q) - m(q). Factor i(s).
3*s**2*(s - 2)*(2*s - 1)
Let v(n) be the third derivative of n**5/40 - n**4/4 + n**3 + 6*n**2. Factor v(m).
3*(m - 2)**2/2
Factor -8*m + 16 + 18*m**2 + 19*m**2 - 36*m**2.
(m - 4)**2
Let p(l) be the first derivative of 2*l**3/27 - l**2/9 - 4*l/9 - 11. Determine n, given that p(n) = 0.
-1, 2
Let m(d) be the second derivative of -d**8/1008 - d*