. Factor r(z).
-2*z*(z - 1)/9
Let -3*g**2 + 36*g - 212*g**3 + 4*g - 22*g**2 - 20 + 217*g**3 = 0. What is g?
1, 2
Let r(w) be the third derivative of -w**7/735 + w**6/210 - w**5/210 - 6*w**2. Factor r(z).
-2*z**2*(z - 1)**2/7
Let m be (0 - 1) + 1 + -2. Let v be ((-2)/5)/(m/10). Find b such that 3*b**3 - 4 - v*b**3 - b + b**2 + 3 = 0.
-1, 1
Let m be ((-2)/(-2) + 3 + -3)*0. Find h, given that 0*h - 2/3*h**3 + 0*h**2 + m + 4/3*h**4 - 2/3*h**5 = 0.
0, 1
What is s in 5*s**3 + 17 - 5*s - 17 - 26*s**4 - 5*s**2 + 31*s**4 = 0?
-1, 0, 1
Let l(c) be the second derivative of c**5/140 - c**4/14 + 4*c**3/21 + 51*c. Solve l(q) = 0 for q.
0, 2, 4
Let n(h) be the first derivative of h**7/420 + h**6/45 + h**5/15 - 3*h**3 + 6. Let g(j) be the third derivative of n(j). Factor g(r).
2*r*(r + 2)**2
Let p be (-35)/(-12) - 6/(-8). Let s(f) be the second derivative of 2*f + 0 - 2*f**2 - 8/3*f**4 - 7/10*f**5 - p*f**3. Factor s(r).
-2*(r + 1)**2*(7*r + 2)
Let t(z) be the first derivative of -2*z**6 + 24*z**5/5 - 3*z**4/4 - 7*z**3 + 15*z**2/2 - 3*z - 4. Determine c, given that t(c) = 0.
-1, 1/2, 1
Let k(f) = -36*f**3 + 9*f**2 - 11. Let p(o) = -12*o**3 + 3*o**2 - 4. Let j(d) = 4*k(d) - 11*p(d). Factor j(h).
-3*h**2*(4*h - 1)
Let b(j) be the first derivative of 2*j**3/27 + j**2/3 + 4*j/9 + 3. What is k in b(k) = 0?
-2, -1
Let t = -7 + 11. Let z = 0 + 2. Factor l**2 - z*l**3 + 3*l**4 + 4*l**3 - 2*l**t.
l**2*(l + 1)**2
Suppose -3/2 - 2*y**2 - 13/2*y = 0. Calculate y.
-3, -1/4
Determine i so that 385*i**3 + 9*i**2 + 10*i - 5*i**5 + 6*i**2 - 390*i**3 - 15*i**4 = 0.
-2, -1, 0, 1
Let f(s) be the first derivative of -s**7/280 + s**6/30 - s**5/8 + s**4/4 - s**3/3 + 1. Let a(j) be the third derivative of f(j). Factor a(p).
-3*(p - 2)*(p - 1)**2
Let u be 2 + (-10)/((-80)/(-12)). Solve u*y**2 - 1/2*y**4 - 1/2*y**5 + 0 + 1/2*y**3 + 0*y = 0.
-1, 0, 1
Let y(f) be the third derivative of f**10/15120 + f**9/7560 - f**4/8 - 5*f**2. Let i(z) be the second derivative of y(z). Factor i(w).
2*w**4*(w + 1)
Factor 2/11*f**3 + 0 + 2/11*f**2 + 0*f.
2*f**2*(f + 1)/11
Suppose -12 = 7*i - 13*i. Factor 1/2*m**i + 0 + 1/4*m**3 + 1/4*m.
m*(m + 1)**2/4
Factor 0 - 5/4*k**3 + 3/4*k**2 + 1/2*k.
-k*(k - 1)*(5*k + 2)/4
Let w(z) be the third derivative of z**5/75 - z**4/20 + z**3/15 - 10*z**2. Factor w(c).
2*(c - 1)*(2*c - 1)/5
Let b(y) be the first derivative of y**8/1680 + y**7/840 - y**6/360 - y**5/120 + 5*y**3/3 - 5. Let o(n) be the third derivative of b(n). Solve o(c) = 0 for c.
-1, 0, 1
Let c(k) be the second derivative of -k**7/6300 + k**5/300 - k**4/12 + k. Let u(a) be the third derivative of c(a). Solve u(y) = 0 for y.
-1, 1
Solve -32 + 56 - 26 + 2*b**2 = 0.
-1, 1
Suppose 126 = 2*f - 22. Let s = f - 145/2. Solve -s - 3/2*t**2 - 3*t = 0 for t.
-1
Solve -2/9*b - 4/3 + 2/9*b**2 = 0.
-2, 3
Suppose 0 = 3*k + 3 - 9. Factor -18*j - 4 - 12*j**4 - 2*j**5 - 15*j**3 + j**3 - 14*j**3 - 32*j**k.
-2*(j + 1)**4*(j + 2)
Let j(l) = 2*l**3 - 2*l**2 + 4. Let m(f) = f**3 - 3*f**2 - f + 3. Let x(g) = 3*j(g) - 4*m(g). Factor x(i).
2*i*(i + 1)*(i + 2)
Let q(b) be the first derivative of b**6/10 + 9*b**5/20 + b**4/2 + 5*b - 8. Let i(u) be the first derivative of q(u). Find l, given that i(l) = 0.
-2, -1, 0
Let a(z) be the second derivative of 2*z**6/15 - z**4/3 - 8*z. Factor a(x).
4*x**2*(x - 1)*(x + 1)
Let s = -9 + 15. Let -4*g**5 - 3*g**3 + g**5 + s*g**3 = 0. Calculate g.
-1, 0, 1
Let w(l) = 10*l**3 + 8*l**2 - 2*l - 8. Suppose -9*a = -4*a + 20. Let d(h) = h**3 - 1. Let f(x) = a*d(x) + w(x). Find k, given that f(k) = 0.
-1, 2/3
Let q(l) be the first derivative of -3*l**6/7 - 6*l**5/5 - l**4/2 + 34*l**3/21 + 16*l**2/7 + 8*l/7 + 1. Suppose q(p) = 0. What is p?
-1, -2/3, 1
Let k be 0 + (-2 - (-138)/9). Let u = k - 13. What is s in 0 - u*s**3 + 0*s + 1/3*s**2 = 0?
0, 1
Let j(o) = o**2 + o + 1. Let d(b) = -5*b**2 - 9*b - 11. Let f(u) = 3*u**2 + 5*u + 6. Let t(z) = -2*d(z) - 5*f(z). Let s(v) = -6*j(v) - t(v). Factor s(x).
-(x - 2)*(x + 1)
Suppose 6 = 6*l - 3*l. Let j = -389/3 + 132. Solve -2/3*g - 5/3*g**3 + j*g**l + 0 = 0 for g.
0, 2/5, 1
Let t(y) = -9 + 0*y**2 + 0*y**2 + 3*y**3 - 3*y**2 + 9*y. Let c(f) = -f**3 + 2*f**2 - 4*f + 4. Let b(h) = -9*c(h) - 4*t(h). Determine u, given that b(u) = 0.
-2, 0
Let m(f) = f + 11. Let t be m(-9). Let n be 3 - ((-12)/(-15) + t). Factor -n*i + 0 + 1/5*i**2.
i*(i - 1)/5
Find k, given that -4*k**3 - 23 + 50 - 8*k**2 - 27 - 4*k = 0.
-1, 0
Let x(u) be the first derivative of 2*u**3/3 - 2*u + 24. Find n, given that x(n) = 0.
-1, 1
Let y = -2 + 4. Suppose -2*t**2 + 5*t**2 + 2 - 1 - 2*t - y*t**2 = 0. What is t?
1
Let 0*t + 2/7*t**3 + 0 - 2/7*t**2 - 2/7*t**5 + 2/7*t**4 = 0. Calculate t.
-1, 0, 1
Let b(x) be the first derivative of -x**6/270 - x**5/180 - x**3 - 2. Let c(n) be the third derivative of b(n). Factor c(t).
-2*t*(2*t + 1)/3
Factor -28*o**2 - 9*o - 3*o + 19 - 3.
-4*(o + 1)*(7*o - 4)
Let v(c) be the third derivative of 0*c + 1/35*c**6 + 0 - 4*c**2 - 3/70*c**5 + 0*c**3 - 1/147*c**7 + 1/42*c**4. Find i such that v(i) = 0.
0, 2/5, 1
Let w be (0 + 0)/2 + 1. Let z(y) = y**2 + y. Let p(b) = b**2 - b - 3*b - 2 + 3*b. Let k(r) = w*z(r) + p(r). Solve k(h) = 0.
-1, 1
Let f(v) = -v**2 + 7*v - 1. Let o be f(6). Suppose -o*y + 34 + 6 = 0. Find u, given that 2*u + 2*u**2 - y*u - 4*u**2 + 2*u = 0.
-2, 0
Suppose -2*w = -5*w + 9. Suppose 4 - 20 = -w*d - 4*q, -4*d - 4*q = -16. Factor -n + d - 1 + 3*n - n**2.
-(n - 1)**2
Let o(a) = 5*a**4 + 8*a**3 - 6*a**2 + 4*a - 5. Let n(c) = 6*c**4 + 9*c**3 - 7*c**2 + 5*c - 6. Suppose 2*x - 30 = -3*x. Let j(m) = x*n(m) - 7*o(m). Factor j(h).
(h - 1)**3*(h + 1)
Let t(j) be the first derivative of j**6/15 + 2*j**5/25 - j**4/5 - 4*j**3/15 + j**2/5 + 2*j/5 + 10. Suppose t(m) = 0. What is m?
-1, 1
Let u(t) be the second derivative of -t**5/180 + t**4/18 - 2*t**3/9 + 2*t**2 - t. Let g(w) be the first derivative of u(w). Factor g(k).
-(k - 2)**2/3
Let z(r) be the first derivative of -r**8/840 + r**6/180 - 4*r**3/3 - 4. Let d(f) be the third derivative of z(f). Factor d(u).
-2*u**2*(u - 1)*(u + 1)
Suppose -2*n - 5 + 13 = 0. Let r(t) be the first derivative of 0*t - 1/4*t**2 - 1/10*t**5 - 3/8*t**n + 1 - 1/2*t**3. Solve r(i) = 0 for i.
-1, 0
Let n(w) be the third derivative of 0*w + 1/72*w**4 + 0*w**3 + 1/45*w**5 + 0 + 4*w**2. Find l, given that n(l) = 0.
-1/4, 0
Let d be (27 - 24) + (-19)/7. What is k in 2/7*k**2 - d*k**3 + 0 + 0*k = 0?
0, 1
Let b = 572/2655 + 2/295. Determine s, given that 0*s + 8/9*s**5 - b*s**3 + 0*s**2 + 2/3*s**4 + 0 = 0.
-1, 0, 1/4
Suppose -1/3*b**2 - 1 + 4/3*b = 0. Calculate b.
1, 3
Let b = -106 - -744/7. Solve 2/7*z**2 + 4/7*z - 6/7*z**3 + 0 + 2/7*z**5 - b*z**4 = 0 for z.
-1, 0, 1, 2
Let w(q) be the first derivative of -7*q**5/20 + q**4/8 + 7*q**3/12 - q**2/4 - 15. Let w(u) = 0. Calculate u.
-1, 0, 2/7, 1
Let z(f) be the second derivative of f**6/30 - f**4/4 + f**3/3 + 8*f. Let z(t) = 0. What is t?
-2, 0, 1
Let q = -2/17 + 40/51. Find x such that 0*x + 2/3*x**3 + 0 - q*x**5 + 0*x**4 + 0*x**2 = 0.
-1, 0, 1
Let o(n) be the third derivative of 1/120*n**5 - 1/240*n**6 + 0*n**3 + 0*n + 2*n**2 + 0 + 0*n**4. Solve o(r) = 0.
0, 1
Factor 0*f**3 - 2/5*f + 0 - 1/5*f**4 + 3/5*f**2.
-f*(f - 1)**2*(f + 2)/5
Let j(r) be the first derivative of -r**3/3 + 2*r**2 - r + 2. Let p be j(3). Factor -2 + 0 - 5*y**p + 7*y**2.
2*(y - 1)*(y + 1)
Let x(i) be the second derivative of i**9/1512 + i**8/168 + 2*i**7/105 + i**6/45 - i**3/2 + 2*i. Let w(o) be the second derivative of x(o). Factor w(z).
2*z**2*(z + 1)*(z + 2)**2
Let l(u) = -3*u**2 + 6*u - 2. Let c(g) = 6*g**2 - 12*g + 5. Let w(j) = 2*c(j) + 5*l(j). Factor w(t).
-3*t*(t - 2)
Let m(j) be the first derivative of -j**7/168 + j**6/40 - j**5/40 - 7*j - 5. Let l(w) be the first derivative of m(w). Let l(x) = 0. What is x?
0, 1, 2
Let y be -2 + 5052/56*3/135. Let n(m) be the third derivative of y*m**7 + 1/120*m**6 - 1/24*m**4 - 1/60*m**5 + 0*m - 3*m**2 + 0*m**3 + 0. Factor n(o).
o*(o - 1)*(o + 1)**2
Suppose -l + 10 = -0. Factor 2*r**3 - r**4 + l*r - 10*r - r**5.
-r**3*(r - 1)*(r + 2)
Let z be -1*((-20)/(-50))/((-8)/5). What is b in z - 1/2*b + 1/4*b**2 = 0?
1
Suppose -2*y + 125 = 3*y. Suppose 0*j + 5*j - y = 0. Factor -4*r**4 - 6*r**3 - 3*r**5 - 2*r**4 - 2*r**2 + r**j.
-2*r**2*(r + 1)**3
Let h(y) = -y**2 + 9*y + 2. Let b be (-35)/(-5