*z(y) + j(y). Solve a(u) = 0 for u.
0, 2/3
Let f(p) be the second derivative of 2/45*p**6 - 9*p + 1/15*p**5 - 2/9*p**3 + 4/3*p**2 + 0 - 1/3*p**4. Factor f(k).
4*(k - 1)**2*(k + 1)*(k + 2)/3
Let w = 34/3 - 11. Factor -1/3*z + w*z**2 - 2/3.
(z - 2)*(z + 1)/3
Let b be -14 + 16 + 1 + 0. Factor -6*h**2 + 9*h + b*h**2 - 6 + 3*h**2 - 3*h**2.
-3*(h - 2)*(h - 1)
Suppose 3*d - 5*r - 34 = 0, -2*d + r - 9 = 4*r. Factor -d*q**3 + 6*q - 3*q**2 + 0*q**3 + 3 - 3*q + 0*q**2.
-3*(q - 1)*(q + 1)**2
Find d, given that -1/10*d**2 - 1/5*d - 1/10 = 0.
-1
Let g(q) = -q + 1. Let r(m) = -2*m**2 - 5*m + 7. Let l(p) = -24*g(p) + 3*r(p). Find z, given that l(z) = 0.
1/2, 1
Let u(m) be the second derivative of -1/10*m**5 - 1/6*m**4 + 0 + m**2 + 1/3*m**3 + m. Determine a so that u(a) = 0.
-1, 1
Suppose -2*f = 2*f - 36. Factor f + 2*s + s - 3*s**2 - 3.
-3*(s - 2)*(s + 1)
Determine l so that 7/5*l**2 + 11/5*l + 1/5*l**3 + 1 = 0.
-5, -1
Let y(f) = 18*f + 128. Let z be y(-7). Find d, given that -5/7*d - 1/7*d**3 + 4/7*d**z + 2/7 = 0.
1, 2
What is b in -20*b - 10*b**2 - 6 + 5*b**3 + 35 + 1 + 10 = 0?
-2, 2
Factor -15*y**2 + 5*y - 2 + 0 - 13*y**2 + 24*y**2 + y**3.
(y - 2)*(y - 1)**2
Let l(d) be the second derivative of 1/21*d**7 + 0*d**3 + 0*d**2 - 1/15*d**4 + 0 + 8/75*d**6 + 1/50*d**5 + d. Determine j, given that l(j) = 0.
-1, 0, 2/5
Let t(h) = -5*h**2 - 43*h - 83. Let f(r) = 10*r**2 + 85*r + 165. Let a(m) = -3*f(m) - 5*t(m). Factor a(c).
-5*(c + 4)**2
Let u be ((-21)/(-10))/(-7)*5/(-6). Factor 1/4*c**4 + 0 - u*c**3 + 0*c**2 + 0*c.
c**3*(c - 1)/4
Let -1/3*j**5 - 1/3*j - j**4 + 2/3*j**3 + 2*j**2 - 1 = 0. Calculate j.
-3, -1, 1
Let g(q) be the first derivative of 1 - 1/3*q**3 - 3*q + 2*q**2. Let g(i) = 0. What is i?
1, 3
Factor -10/3*a**4 - 14*a**2 - 4/3 - 22/3*a - 34/3*a**3.
-2*(a + 1)**3*(5*a + 2)/3
Let d = -9 - -5. Let z be (d/(-30))/((-1)/(-6)). Factor 0 + 0*r**4 - 2/5*r**5 - 2/5*r + 0*r**2 + z*r**3.
-2*r*(r - 1)**2*(r + 1)**2/5
Let p(t) be the first derivative of t**4/4 - 4*t**3/3 - t**2/2 + 5. Let n(z) = -4*z**3 + 17*z**2 + 4*z + 1. Let a(j) = -2*n(j) - 9*p(j). Factor a(f).
-(f - 2)*(f - 1)*(f + 1)
Suppose -5 = -2*y + 9. Suppose m = -o + 7, y = 3*o - 5. Solve 0 - 1/3*c**2 + 0*c - 1/3*c**4 + 2/3*c**m = 0 for c.
0, 1
Let q(c) be the third derivative of -c**7/21 - 13*c**6/60 + c**5/5 + 5*c**4/3 - 8*c**3/3 - 21*c**2. What is v in q(v) = 0?
-2, 2/5, 1
Let t(l) be the second derivative of -l**6/6 + 5*l**4/4 + 5*l**3/3 - 17*l. Factor t(d).
-5*d*(d - 2)*(d + 1)**2
Let c = 6221/9 + -691. Determine y, given that 0 - c*y - 2/9*y**2 = 0.
-1, 0
Let m(y) be the first derivative of y**4/14 + 2*y**3/7 - 8*y/7 + 20. Factor m(u).
2*(u - 1)*(u + 2)**2/7
Let i be 8/7*210/75. Let i*x**4 + 0*x + 2/5*x**2 + 0 - 7/5*x**5 - 11/5*x**3 = 0. What is x?
0, 2/7, 1
Let t(y) be the second derivative of y**4/12 + 10*y**3/3 - 38*y. Factor t(n).
n*(n + 20)
Let f(d) be the second derivative of -d**6/6 + d**5/4 + 5*d**4/12 - 5*d**3/6 + 14*d. Factor f(b).
-5*b*(b - 1)**2*(b + 1)
Let s(b) = 31*b**3 - 39*b**2 + 21*b + 5. Let c(a) = 63*a**3 - 77*a**2 + 43*a + 10. Let f(p) = 6*c(p) - 13*s(p). Suppose f(n) = 0. What is n?
-1/5, 1
Let w(r) be the first derivative of 0*r**3 + 0*r**2 + 0*r**5 + 1/27*r**6 - 2 + 0*r - 1/18*r**4. Factor w(g).
2*g**3*(g - 1)*(g + 1)/9
Let 3/7*z**3 + 705/7*z - 13*z**2 - 225/7 = 0. Calculate z.
1/3, 15
Let o be (-287)/(-82) + 1/(-2). Factor -1/3*y**2 + 0 + 0*y + 1/3*y**o.
y**2*(y - 1)/3
Let y(d) = -d**3 - d**2 - 1. Let t(l) = 12*l**3 + 8*l**2 + 20*l + 40. Let m(a) = t(a) + 16*y(a). Determine s, given that m(s) = 0.
-3, -1, 2
Determine r so that 1/2*r**2 - 1/4*r**3 - 1/2 + 1/4*r = 0.
-1, 1, 2
Let o(a) = 4*a**2 - 42*a + 22. Let i be o(10). Factor -2/3*d - d**i + 1/3.
-(d + 1)*(3*d - 1)/3
Let f be (-24)/(-9) - 4/6. Suppose 3*p + 0*p - f*z = -1, 3*p - 13 = -5*z. Factor 5*t**3 - t**4 + p - t**3 - 6*t**3 + 2*t.
-(t - 1)*(t + 1)**3
Suppose 3*a - 21 = -3. Factor 9/2*t**2 - 6*t + 3/2*t**4 - a + 6*t**3.
3*(t - 1)*(t + 1)*(t + 2)**2/2
Factor 0*x - 2/9*x**2 - 2/9*x**4 + 0 - 4/9*x**3.
-2*x**2*(x + 1)**2/9
Let c = 91 + -272/3. Factor 2/3*y**2 + 0 + 1/3*y**3 + c*y.
y*(y + 1)**2/3
Factor 8/11 + 6/11*b - 2/11*b**2.
-2*(b - 4)*(b + 1)/11
Let s be 2*(1 - (-1)/2). Factor 9*m**2 - 6*m**3 + 4*m**3 - m**s - 6*m.
-3*m*(m - 2)*(m - 1)
Factor y**2 + 6 + 8*y + y**2 + 2.
2*(y + 2)**2
Let l(a) be the first derivative of -1/4*a**4 + 0*a + a**2 - 1/3*a**3 - 3. Factor l(b).
-b*(b - 1)*(b + 2)
Let 1/4*s**3 + 1/2*s**2 - 3/4*s + 0 = 0. Calculate s.
-3, 0, 1
Suppose -5*n**3 - n**3 + 7*n**3 - 4*n + 7*n**3 + 10*n**2 - 6*n**4 = 0. Calculate n.
-1, 0, 1/3, 2
Let f be (1 - 1) + -8 + 2. Let p(k) = -11 + 2*k**2 - 5*k**2 - 11*k + 2*k**2. Let j(u) = -u**2 - 10*u - 10. Let m(y) = f*p(y) + 7*j(y). Solve m(t) = 0 for t.
-2
Suppose 4*p = 6*p. Suppose p = 4*f + 4 - 20. Solve 28/3*r**3 + 35/3*r**5 - 4/3*r**2 - 59/3*r**f + 0*r + 0 = 0 for r.
0, 2/7, 2/5, 1
Let 0*b**2 + 0*b - 1/4*b**5 - 1/4*b**4 + 0 + 0*b**3 = 0. What is b?
-1, 0
Suppose -2*g - 5*h + 65 = -g, 8 = 2*h. Let r be ((-4)/g)/(7/(-35)). Factor 2/9*y**2 + 2/3*y + r.
2*(y + 1)*(y + 2)/9
Suppose -11 = -3*t + 1. Factor 2/3*p**2 - 2/3*p + 0 - 2/3*p**t + 2/3*p**3.
-2*p*(p - 1)**2*(p + 1)/3
Let y(m) be the first derivative of 3/4*m**4 + 0*m + 3*m**3 + 3*m**2 - 1. What is l in y(l) = 0?
-2, -1, 0
Let y(s) be the third derivative of s**8/3192 + 2*s**7/1995 - s**6/570 - 2*s**5/285 + s**4/228 + 2*s**3/57 - 3*s**2 - 2*s. Find t such that y(t) = 0.
-2, -1, 1
Let h(b) be the second derivative of -b**4/48 + b**3/12 + b. Find q, given that h(q) = 0.
0, 2
Factor 9/5*h - 6/5 + 24/5*h**2 + 9/5*h**3.
3*(h + 1)*(h + 2)*(3*h - 1)/5
Let p be ((-8)/(-10))/(6/15). Factor 2*g**5 - g**5 - g**4 + 2*g**2 - g**p - g**3.
g**2*(g - 1)**2*(g + 1)
Let m be -2 - 12/45*(-42)/4. Let a(q) be the first derivative of 2/5*q**2 - 1 - 1/15*q**3 - m*q. Factor a(z).
-(z - 2)**2/5
Let x = 63 + -60. Let z(y) be the second derivative of 1/24*y**x + 0*y**4 - 1/80*y**5 + 0 - y + 0*y**2. Find c such that z(c) = 0.
-1, 0, 1
Let x = 116 + -116. Let n(z) be the first derivative of 0*z**3 + x*z**2 - 4 + 0*z - 1/14*z**4. Find j, given that n(j) = 0.
0
Suppose 0 = 140*j - 142*j. Factor j + 0*h + 0*h**2 - 1/4*h**5 - 1/4*h**3 - 1/2*h**4.
-h**3*(h + 1)**2/4
Find c such that 0*c + 2/3*c**2 + 0 = 0.
0
Let k = -3 + 13/3. Let k*p + 2*p**2 + 0 + 2/3*p**3 = 0. Calculate p.
-2, -1, 0
Suppose 4*t = -9 + 33. Factor 2 + 2*f**2 + 11*f**2 - 9*f - t*f**2.
(f - 1)*(7*f - 2)
Let k(g) be the second derivative of -g**7/63 + g**6/45 + g**5/30 - g**4/18 + 4*g. Find d, given that k(d) = 0.
-1, 0, 1
Let s(n) be the first derivative of n**2 - 1/48*n**4 + 3 + 0*n + 1/120*n**5 + 1/240*n**6 - 1/12*n**3. Let f(u) be the second derivative of s(u). Factor f(z).
(z - 1)*(z + 1)**2/2
Let r(y) = -9*y**2 - 10*y + 10. Let s(w) = 9*w**2 + 9*w - 9. Let o(n) = 3*r(n) + 2*s(n). Factor o(j).
-3*(j + 2)*(3*j - 2)
Factor -5*f**4 + f**3 - 4*f**3 + 3*f**3 - 5*f**3.
-5*f**3*(f + 1)
Let g(s) be the second derivative of -s**6/20 + s**5/5 - s**4/8 - s**3/6 - 13*s. Determine j so that g(j) = 0.
-1/3, 0, 1, 2
Let u = 195 - 193. Determine q, given that -2/9*q**u + 2/9*q**4 + 2/9*q - 2/9*q**3 + 0 = 0.
-1, 0, 1
Let p(x) be the third derivative of -x**10/302400 + x**9/60480 + x**8/40320 - x**7/5040 + x**5/15 - x**2. Let d(v) be the third derivative of p(v). Factor d(c).
-c*(c - 2)*(c - 1)*(c + 1)/2
Let t(g) be the third derivative of 49*g**5/60 - 35*g**4/6 + 50*g**3/3 + g**2 + 2. Factor t(b).
(7*b - 10)**2
Let m(z) = -3 - z + 7*z + 0*z - 5*z. Let f be m(6). Suppose -5/3*p**f - 2/3 - 3*p**2 - 1/3*p**4 - 7/3*p = 0. What is p?
-2, -1
Let q(m) be the second derivative of -m**4/12 + 5*m**3/3 - 25*m**2/2 + 9*m. Let q(v) = 0. What is v?
5
Let n = 198451/525 + -378. Let s(j) be the third derivative of -2*j**2 - 1/300*j**6 + 0*j**3 + 0 + 0*j + 0*j**4 + 0*j**5 - n*j**7. Let s(d) = 0. Calculate d.
-1, 0
Let k(a) be the third derivative of -a**5/270 - a**4/27 - 4*a**3/27 - 5*a**2. Find n, given that k(n) = 0.
-2
Solve 3*r**3 + 0*r**3 - 7*r**3 = 0 for r.
0
Let m(l) be the third derivative of -l**6/2160 - l**5/180 - l**4/36 + l**3/3 + l**2. Let s(w) be the first derivative of m(w). Find g, given that s(g) = 0.
-2
Let o(v) be the second derivative of -v**5/5 - 5*v**4/4 + 2*v**3/3 - 13*v. Factor o(d).
-d*(