 w(z). Factor x(h).
-h**3*(h - 1)/5
Factor -3/2*s**4 + 0 + 9/2*s**2 + 3*s + 0*s**3.
-3*s*(s - 2)*(s + 1)**2/2
Let q(p) = p**3 - 14*p**2 - p + 11. Let k be q(14). Let r be (-10)/((-3)/(-3) + k). Let 0 + 0*g**2 + 1/4*g**r + 0*g**3 + 0*g - 1/4*g**4 = 0. What is g?
0, 1
Let z be (63/(-14))/((-23)/2). Let k = z + 1/115. Factor 0 - k*a**2 - 2/5*a.
-2*a*(a + 1)/5
Let t(n) be the second derivative of 3*n**5/140 + n**4/28 + 11*n. Find y, given that t(y) = 0.
-1, 0
Let b(m) be the second derivative of m**7/105 - m**6/25 + 3*m**5/50 - m**4/30 - 14*m. What is t in b(t) = 0?
0, 1
Let b = -13 + 15. Suppose -5*n + z = -12, -2 = -b*n - n - 2*z. Solve -2/3*t**4 + 0*t**n + 0*t + 0*t**3 + 0 = 0 for t.
0
Let m(f) be the first derivative of 1/9*f**3 - 1/2*f**2 + 2/3*f + 4. Factor m(d).
(d - 2)*(d - 1)/3
Let n(w) be the third derivative of -w**7/12600 + w**5/600 + w**4/4 - 9*w**2. Let d(c) be the second derivative of n(c). Factor d(m).
-(m - 1)*(m + 1)/5
Let m = 8/3 + -35/12. Let o = 3/4 + m. Factor o*f + 0 + 1/2*f**2.
f*(f + 1)/2
Suppose 3 = -2*s + 1. Let i(l) = -3*l**4 - 3*l**3 + 6*l**2 + 3*l - 3. Let t(k) = k**2 - 1. Let j(u) = s*i(u) + 3*t(u). Solve j(m) = 0 for m.
-1, 0, 1
Factor -9*w**4 - 4*w**4 + 12 - 24*w + 10*w**4 + 15*w**3 - 3*w**5 + 3*w**2.
-3*(w - 1)**3*(w + 2)**2
Let f(n) = n**2 - 4*n + 4. Let m be f(4). Let -m*w**2 - w**3 + 2 + 3*w**2 + 2*w - w**3 - w**2 = 0. What is w?
-1, 1
Let m be (-522)/(-232) - 2/8. Factor -4/3*q + 0 + 0*q**3 + 2*q**m - 2/3*q**4.
-2*q*(q - 1)**2*(q + 2)/3
Let 2/5*q - 1/5*q**4 + 0 + 0*q**3 + 3/5*q**2 = 0. What is q?
-1, 0, 2
Let 63*i**2 - 78*i**2 + 8*i + 0 - i - 1 + 9*i**3 = 0. What is i?
1/3, 1
Suppose -7*j = -5*j - 10. Let a(c) be the third derivative of 2*c**2 + 0*c**3 + 0 + 0*c + 0*c**4 - 1/180*c**j. Let a(s) = 0. Calculate s.
0
Suppose -8*b + 2*x = -4*b - 14, -11 = -5*b - 4*x. Factor 0*y**2 - y**4 + 2/3*y**b + 0 + 0*y.
-y**3*(3*y - 2)/3
Suppose n - 3*c - 15 = 0, 2*c - 7 + 17 = 2*n. Let l be (6/4 + -1)*n. Factor 1/4 + l*d - 1/4*d**2.
-(d - 1)*(d + 1)/4
Let c(a) be the third derivative of -a**8/3360 + a**7/630 + a**6/360 - a**5/30 - a**4/6 + 2*a**2. Let o(u) be the second derivative of c(u). Factor o(s).
-2*(s - 2)*(s - 1)*(s + 1)
Find o such that -4*o**5 - 13*o**2 + 5*o**2 + 4 - 4*o + 10*o**3 - 2*o**3 + 4*o**4 = 0.
-1, 1
Let j = -20 + 22. Let 3 + 3*v**2 + 6*v - 3*v**2 + 3*v**j + 0*v**2 = 0. What is v?
-1
Let o(f) be the third derivative of f**8/280 - f**7/105 + f**6/150 - 9*f**2. Suppose o(k) = 0. Calculate k.
0, 2/3, 1
Let r = -146 - -149. Let c(f) be the second derivative of 0 - 3*f - 1/6*f**4 - 1/3*f**r + 0*f**2. Solve c(u) = 0.
-1, 0
Let q = -15 + 0. Let r = q + 47/3. What is j in -r + 5/3*j**2 - j = 0?
-2/5, 1
Factor -40*z + 17*z - 3*z**2 + 17*z.
-3*z*(z + 2)
Let v(c) be the second derivative of -c**6/5 + 23*c**5/40 - 13*c**4/24 + c**3/6 - 6*c. Suppose v(z) = 0. Calculate z.
0, 1/4, 2/3, 1
Let w(t) be the first derivative of 13122*t**5/5 + 243*t**4 - 120*t**3 + 8*t**2 - 35. What is d in w(d) = 0?
-2/9, 0, 2/27
Suppose -3*f - 4*h + 2 = 7, -h - 30 = -5*f. Find d such that 0*d + 1/4*d**4 - 1/4*d**2 + 1/4*d**f - 1/4*d**3 + 0 = 0.
-1, 0, 1
Let k be 11/6 + (-3)/(-18). Suppose 2*c - k*v - 6 = -c, c - 13 = -3*v. Factor 1/5 - 2/5*p**3 + 1/5*p + 1/5*p**5 + 1/5*p**c - 2/5*p**2.
(p - 1)**2*(p + 1)**3/5
Let n = -5595/7 + 801. Let z = 74 + -510/7. Let -8/7*f + 2/7 - z*f**3 + n*f**2 + 2/7*f**4 = 0. Calculate f.
1
Suppose -3*y = y - 100. Let q = -25 + y. Factor -1/2*n**3 + q + 0*n**2 + 1/2*n.
-n*(n - 1)*(n + 1)/2
Let z(i) be the third derivative of -i**7/1960 + i**6/210 - i**5/70 - 3*i**3/2 - 2*i**2. Let q(s) be the first derivative of z(s). Factor q(v).
-3*v*(v - 2)**2/7
Suppose 0 = -4*t + 3 + 13. Let g = t - 4. Let g + 0*q + 1/5*q**2 = 0. Calculate q.
0
Factor -10*r**2 - 11*r**2 + 4 + 33*r**2 - 11*r**2 + 4*r.
(r + 2)**2
Suppose m - 4*m - 8 = p, -3*m + 3*p = 0. Let o be 14/12 + 1/m. Factor 0*i + o*i**4 + 0 - 2/3*i**3 - 2/3*i**2 + 2/3*i**5.
2*i**2*(i - 1)*(i + 1)**2/3
Suppose i = 2*i - 2. Factor r - 3 - 12*r + 5*r - 3*r**i.
-3*(r + 1)**2
Suppose -12 = -4*n + 3*j, -2*n + j + 8 = -j. Let o be 194/70 - 28/49 - 2. Suppose o*i**2 - 1/5*i + n = 0. What is i?
0, 1
Let s(c) be the third derivative of c**7/280 + c**6/30 + c**5/8 + c**4/4 - c**3/2 + 3*c**2. Let x(v) be the first derivative of s(v). Factor x(m).
3*(m + 1)**2*(m + 2)
Let a(d) be the second derivative of -d**8/3360 - d**7/630 - d**6/360 + d**4/12 + 3*d. Let y(l) be the third derivative of a(l). Suppose y(f) = 0. What is f?
-1, 0
Suppose -2 = 2*t + 4*f, 13 = 5*t + 5*f - f. Let m(d) be the second derivative of 2*d - 1/20*d**t + 1/6*d**4 + 0 + 0*d**2 - 1/6*d**3. Factor m(g).
-g*(g - 1)**2
Suppose -2*g = -2*k - g + 6, 0 = -4*k - 4*g. Factor 18*l**2 - 2*l**3 + l**3 + 8 - 20*l**k + 5*l - l.
-(l - 2)*(l + 2)**2
Let f(s) be the third derivative of 1/10*s**6 + 0*s + 0 - 7/96*s**8 - 1/30*s**5 - 7*s**2 + 0*s**4 - 1/20*s**7 + 0*s**3. Let f(n) = 0. Calculate n.
-1, 0, 2/7
Let t be (-6)/(-9) + 26/24 + 0. Determine g so that 1/2 + 9/4*g**2 + 1/4*g**4 + t*g + 5/4*g**3 = 0.
-2, -1
Let k(p) be the third derivative of p**7/840 + p**6/180 + p**5/120 - p**3/6 - p**2. Let x(z) be the first derivative of k(z). Determine f so that x(f) = 0.
-1, 0
Let p = -12 - -12. Solve 3/2*i**2 - 1/2*i + p = 0.
0, 1/3
Let j be 24/40*2/3. Let x(v) be the first derivative of 1/10*v**2 - 1/5*v**3 + j*v + 1. Suppose x(u) = 0. What is u?
-2/3, 1
Let p(j) be the third derivative of -j**8/560 + j**7/175 - j**5/50 + j**4/40 - 11*j**2. Solve p(c) = 0.
-1, 0, 1
Let t(f) be the second derivative of f**7/280 + f**6/120 + 4*f**3/3 - 3*f. Let z(x) be the second derivative of t(x). Suppose z(b) = 0. Calculate b.
-1, 0
Factor 6*v**2 - 2*v + 12 - 2*v**2 - 14*v**2 + 8*v**2.
-2*(v - 2)*(v + 3)
Let d(u) = -u**2 - 9*u - 7. Let j be d(-5). Factor -j*p**2 + 1 + 11*p**2 - 1 + 2.
-2*(p - 1)*(p + 1)
Let l(f) be the third derivative of 0*f + 0*f**5 + 0*f**6 - 1/672*f**8 - 1/420*f**7 + 0*f**3 + 4*f**2 + 0*f**4 + 0. Factor l(n).
-n**4*(n + 1)/2
Let o(j) be the third derivative of 0*j**4 - 1/240*j**6 + 0 + 0*j + 0*j**5 + 0*j**3 - 3*j**2. Factor o(u).
-u**3/2
Let o(c) be the first derivative of 1/6*c**2 - 2/3*c + 1/9*c**3 - 4. Factor o(y).
(y - 1)*(y + 2)/3
Factor 2/3*f - 4/3*f**3 + 2/3*f**2 + 0.
-2*f*(f - 1)*(2*f + 1)/3
Let n(u) be the third derivative of u**7/630 + u**6/120 + u**5/90 + 15*u**2. Suppose n(k) = 0. What is k?
-2, -1, 0
Let o(h) be the third derivative of h**8/1680 + h**7/1260 + h**6/2880 + h**4/6 - h**2. Let u(a) be the second derivative of o(a). Factor u(s).
s*(4*s + 1)**2/4
Let h(z) be the first derivative of -5*z**4/7 + 4*z**3/3 - 4*z**2/7 - 29. Factor h(i).
-4*i*(i - 1)*(5*i - 2)/7
Let 2/15*u**3 - 2/15*u**4 + 4/5 - 26/15*u + 14/15*u**2 = 0. Calculate u.
-3, 1, 2
Let j(u) = -u**3 - u + 1. Let q(x) = 8*x**3 + 3*x**2 + 9*x - 7. Let r(g) = -14*j(g) - 2*q(g). Suppose r(o) = 0. What is o?
-2, -1, 0
Determine f, given that -2*f**3 + 0*f + 0 + 4/7*f**2 - 4/7*f**4 + 2*f**5 = 0.
-1, 0, 2/7, 1
Let o(u) be the third derivative of u**5/40 - u**4/8 + 2*u**2 - 6*u. Let o(y) = 0. What is y?
0, 2
Suppose 3*x = -d - 15, 2*x = -0*x - 10. Factor 0*l**2 + 0*l + d - 1/4*l**3 + 0*l**4 + 1/4*l**5.
l**3*(l - 1)*(l + 1)/4
Let i = 2 + 2. Suppose -i = -4*m + 4. Factor q**m - q**2 - q + q**3 + q**2 - q**4.
-q*(q - 1)**2*(q + 1)
Let i = -12 - -15. Let f be (2/16)/(i/6). Let -1/4*l + 1/4 + 1/4*l**3 - f*l**2 = 0. What is l?
-1, 1
Let u(g) be the first derivative of -9*g**4/8 - 7*g**3/4 - 3*g**2/4 - 4. What is d in u(d) = 0?
-2/3, -1/2, 0
Let m(z) = 4*z**3 - 5*z**2 + z + 11. Let d(l) = 2*l**3 - 2*l**2 + 6. Let n(g) = 11*d(g) - 6*m(g). What is q in n(q) = 0?
0, 1, 3
Factor -4*l + 2/3*l**2 + 6.
2*(l - 3)**2/3
Let z(m) = -m**2 + 12*m - 9. Let x be z(11). Factor 7*u + 4 - x*u - u + 6*u + 6*u**2.
2*(u + 1)*(3*u + 2)
Let b(v) = -v**4 - v**2 - v + 1. Let k(n) = -21*n**4 - 24*n**3 + n**2 + 5*n + 1. Let g(w) = -6*b(w) + 2*k(w). Factor g(u).
-4*(u + 1)**2*(3*u - 1)**2
Suppose j = -5*m - 10 - 9, j - 11 = m. Factor -j*a + 5*a + 7*a + 3 + a**2 + 2*a**2.
3*(a + 1)**2
Suppose w + 3*f = 1, -4*w - 3*f + 9 = -4. What is m in -3*m + 2*m**5 + 18*m**3 - 3*m**2 + 15*m**2 + 6*m + 12*m**w + m**5 = 0?
-1, 0
Let s = 27/26 - 575/78. Let v = s - -41/6. Factor 0 - v*a**2 - 1/2*a.
-a*(a +