 r.
-1, 0, 2
Let q(j) be the third derivative of 0*j + 0 - 7/300*j**6 + 4/15*j**3 + 1/5*j**4 + 5*j**2 - 3/50*j**5. Determine g so that q(g) = 0.
-2, -2/7, 1
Factor -6/5*s**2 + 8/5 + 2/5*s**3 + 0*s.
2*(s - 2)**2*(s + 1)/5
Let s be (-6)/(15/5) - (-4 + 2). Factor 0*t + 0 + 1/4*t**5 + s*t**3 - 1/4*t**4 + 0*t**2.
t**4*(t - 1)/4
Let w be (-7)/(-14) + 21/(-2). Let g be (42/(-35))/(4/w). Let 4/13 + 2/13*y - 2/13*y**g - 4/13*y**2 = 0. Calculate y.
-2, -1, 1
Let b(i) be the third derivative of -i**6/300 + 11*i**5/600 + i**4/80 + 10*i**2. Suppose b(p) = 0. What is p?
-1/4, 0, 3
Let m(w) = w - 8. Let b be m(8). Factor b - i**2 + 1/2*i**3 + 1/2*i.
i*(i - 1)**2/2
Suppose -3*g + 2*g + 5*d - 10 = 0, 0 = -5*d + 20. Let v be ((4 - g)/(-1))/4. Let v + 3/2*l**2 - 3*l = 0. Calculate l.
1
Let j(q) be the third derivative of q**6/480 - q**5/80 - 7*q**3/6 + 6*q**2. Let w(u) be the first derivative of j(u). Determine g, given that w(g) = 0.
0, 2
Let a(c) = c**2 - 1. Let d be a(-2). Factor 2*q**4 + d*q**4 + q**5 - 4*q**4 - q**3 - q**2 + 0*q**4.
q**2*(q - 1)*(q + 1)**2
Let i(l) be the second derivative of -l**6/60 + l**5/20 - l**4/24 - 24*l. Find p, given that i(p) = 0.
0, 1
Let c(v) be the third derivative of -1/54*v**4 + 0*v**3 + 0*v + 2*v**2 + 0 - 1/270*v**5. Factor c(a).
-2*a*(a + 2)/9
Let k(f) = 0*f - 1 + f + f**2 - 2*f**2. Let t(i) = 5*i**2 - i + 6. Let u(h) = -h - 1. Let n be u(-5). Let c(v) = n*k(v) + t(v). Factor c(o).
(o + 1)*(o + 2)
Let o(p) = -4*p**4 + 3*p**3 + 7*p**2 - 27*p + 11. Let v(k) = 4*k**4 - 4*k**3 - 8*k**2 + 28*k - 12. Let a(h) = -4*o(h) - 5*v(h). Factor a(m).
-4*(m - 2)*(m - 1)**2*(m + 2)
Let i(x) = 3*x**3 + 2*x - 1. Let t be i(1). Factor 12*v**2 + 0*v**2 - 2*v**2 - 7*v + t - 7*v.
2*(v - 1)*(5*v - 2)
Solve -4*o + 6*o**3 - 8*o + 4*o + 2*o**4 = 0.
-2, 0, 1
Let p = -9/7 + 41/21. Let t(j) be the first derivative of 3 - p*j**2 + 0*j - 2/9*j**3. Factor t(m).
-2*m*(m + 2)/3
Factor -f**3 - 13 + f + 13.
-f*(f - 1)*(f + 1)
Suppose i + 5*q = -0*q - 7, 4 = -2*q. Let c(a) be the second derivative of 1/2*a**2 + i*a + 0 - 1/12*a**4 + 0*a**3. What is s in c(s) = 0?
-1, 1
Suppose 0 = -3*v + 4*v. Suppose -5*m + v*p = -5*p - 35, -2*p - 2 = m. Factor -4*w + m*w**3 + 2*w**2 - 2*w**2 + 3*w**2 + 3*w.
w*(w + 1)*(4*w - 1)
Let b(m) be the third derivative of -m**6/120 - m**5/20 + 13*m**2. Solve b(q) = 0 for q.
-3, 0
Let c(k) be the first derivative of -2*k**7/525 - 13*k**6/600 - 11*k**5/300 - k**4/60 + 2*k**2 - 5. Let h(n) be the second derivative of c(n). Factor h(i).
-i*(i + 1)*(i + 2)*(4*i + 1)/5
Let b(g) be the second derivative of -g**8/20160 + g**6/2160 + 5*g**4/12 + 3*g. Let u(r) be the third derivative of b(r). Find h such that u(h) = 0.
-1, 0, 1
Solve -3/5*p**5 + 3/5*p**4 + 0*p - 3/5*p**2 + 0 + 3/5*p**3 = 0 for p.
-1, 0, 1
Let v be 24/(-84) - (-18)/21. Factor 1/7*u**5 + 1/7*u + 6/7*u**3 - 4/7*u**4 + 0 - v*u**2.
u*(u - 1)**4/7
Let l(y) be the third derivative of y**7/1260 - 7*y**6/720 + 2*y**5/45 - y**4/12 - 13*y**2. Factor l(t).
t*(t - 3)*(t - 2)**2/6
Let r(h) = 2*h**2 + 2*h**2 + 2 - h**3 + h**2 + 6*h. Let m be r(6). Factor 3*s**2 - 5*s**m + 4*s + 4*s**2.
2*s*(s + 2)
Find x such that 0*x + 2/3*x**4 + 0 + 0*x**3 - 2/3*x**2 = 0.
-1, 0, 1
Determine m, given that 4*m - 3*m**2 + 4*m - 3 - 4*m + 2*m = 0.
1
Let u(l) = 44*l - 261. Let j be u(6). Solve 3/2*m - 3 - 3/2*m**j + 3*m**2 = 0.
-1, 1, 2
Let g(r) = -r**5 + r**4 - r**2 + r. Let d(b) = -15*b**5 + 25*b**4 - 15*b**3 - 25*b**2 + 30*b. Let o(i) = d(i) - 30*g(i). Let o(v) = 0. What is v?
-1, 0, 1/3, 1
Let a(h) = h**5 + h**3 + h**2. Let c(j) = 5*j**5 - 4*j**4 + 5*j**3 + 12*j**2. Let z(b) = 6*a(b) - c(b). Determine m so that z(m) = 0.
-3, -2, 0, 1
Suppose 0*p**3 + 0 - 1/5*p**4 + 4/5*p**2 + 0*p = 0. What is p?
-2, 0, 2
Factor -50*d + 2*d**2 + 2 - 4 + 52*d - 2*d**3.
-2*(d - 1)**2*(d + 1)
Let i(x) be the first derivative of -x**7/5040 + x**6/1080 - x**5/720 - x**3 + 3. Let b(f) be the third derivative of i(f). Solve b(o) = 0 for o.
0, 1
Let p(z) be the third derivative of -15*z**8/112 + z**7/6 + z**6/12 + 3*z**2. Factor p(d).
-5*d**3*(d - 1)*(9*d + 2)
Let l(p) = -12*p**2 + 6*p + 3. Let j(z) = z**2. Suppose 0 = 3*k - 4*f - 53, 4*f = 5*f + 2. Let i(m) = k*j(m) + l(m). Solve i(q) = 0.
-1
Let h(g) = -g + 5. Let z be h(0). Suppose z = 2*o - 3. Solve 0*x**4 - x**4 - 6*x + 4*x - 6*x**2 - 6*x**3 - x**o = 0.
-1, 0
Let s(a) be the first derivative of -a**6/33 - 4*a**5/55 + 4*a**3/33 + a**2/11 + 11. Solve s(t) = 0 for t.
-1, 0, 1
Let c(z) be the second derivative of z**5/120 + z**4/18 + 5*z**3/36 + z**2/6 - 23*z. Factor c(t).
(t + 1)**2*(t + 2)/6
Let t(f) = f**2 - f + 1. Let o be t(1). Find h, given that -o - 3 + 4 + 9*h**2 + 6*h**3 - 6*h = 0.
-2, 0, 1/2
Let f(d) be the second derivative of 0 + 1/2*d**4 + 0*d**2 - 1/10*d**5 + 9*d - 2/3*d**3. Factor f(t).
-2*t*(t - 2)*(t - 1)
Solve -2/7*s**2 + 2/7*s**5 - 2/7*s**3 + 2/7*s**4 + 0 + 0*s = 0 for s.
-1, 0, 1
Let u(a) = -3*a**2 - 6*a - 3. Suppose b + 0 = 2. Let k(y) = -12*y**2 - 24*y - 12. Let g(i) = b*k(i) - 9*u(i). What is m in g(m) = 0?
-1
Let y(v) be the first derivative of v**5/20 + v**4/4 + v**3/2 - v**2 + 5. Let h(a) be the second derivative of y(a). Solve h(b) = 0.
-1
Let g(b) = 4*b - 2. Let t be g(2). Determine p, given that 148 - 2*p**4 - 148 - 2*p - t*p**2 - 6*p**3 = 0.
-1, 0
Let i(l) be the second derivative of -l**4/60 + l**3/5 + 8*l. Factor i(d).
-d*(d - 6)/5
Let k(s) be the first derivative of 2*s**5/55 + s**4/11 - 2*s**2/11 - 2*s/11 - 1. Factor k(t).
2*(t - 1)*(t + 1)**3/11
Let v(l) be the second derivative of 3/20*l**5 + 1/50*l**6 + 0 + 9/20*l**4 + 7/10*l**3 + 3/5*l**2 + 5*l. Let v(x) = 0. Calculate x.
-2, -1
Factor -2*y**2 - 11 + 1 + 6 + 6.
-2*(y - 1)*(y + 1)
Let c(q) be the first derivative of -6/5*q**5 + 1/2*q**6 + 2*q**3 + 0*q**4 - 3/2*q**2 + 0*q + 2. Factor c(p).
3*p*(p - 1)**3*(p + 1)
Determine n, given that 3/2*n**2 + 0 - 3/2*n**4 - 3*n**3 + 3/4*n + 9/4*n**5 = 0.
-1, -1/3, 0, 1
Let q(d) be the third derivative of d**6/120 - d**5/10 + d**4/2 + 5*d**3/6 + 6*d**2. Let a(b) be the first derivative of q(b). Let a(w) = 0. What is w?
2
Suppose -u - 5*a + 8 = -0, 0 = -3*a + 3. Factor -16*y**4 - 32*y**3 - 4*y**2 + 12*y**u + 4*y**4 + 4*y.
-4*y*(y + 1)**2*(3*y - 1)
Factor -4*n**3 + 175*n - 3*n**2 - 175*n - n**4.
-n**2*(n + 1)*(n + 3)
Factor 0 + 2/3*a + 6*a**3 - 4*a**2.
2*a*(3*a - 1)**2/3
Let f(z) be the second derivative of -z**4/6 - 2*z**3/3 - z**2 - 5*z. Solve f(k) = 0.
-1
Let k(y) = 2*y + 2. Let m be k(0). Factor 2*w**2 - 5*w**2 + 2 - m*w**2 + 3*w**2.
-2*(w - 1)*(w + 1)
Let b(v) be the second derivative of 1/6*v**2 + 0 + 1/18*v**6 - 5*v + 5/18*v**3 + 1/126*v**7 + 5/18*v**4 + 1/6*v**5. Factor b(r).
(r + 1)**5/3
Let u(k) be the second derivative of k**5/30 + k**4/9 + k. Factor u(g).
2*g**2*(g + 2)/3
Let o(s) be the second derivative of s**4/30 - s. Factor o(l).
2*l**2/5
Factor -16/5 + 8*n + 14/5*n**3 - 2/5*n**4 - 36/5*n**2.
-2*(n - 2)**3*(n - 1)/5
Let c be 6/36 - (-62)/36. Let q = c + -5/9. Factor q + 1/3*b**2 - 4/3*b.
(b - 2)**2/3
Factor 19*a + 5*a**2 - 5*a**3 - 13*a**2 - 2*a**2 - 4*a.
-5*a*(a - 1)*(a + 3)
Let p(g) = 4*g**2 + 2*g + 2. Let r(h) = 4*h**2 + h + 3. Let t(w) = -3*p(w) + 2*r(w). Find n, given that t(n) = 0.
-1, 0
Suppose -4*r = 4 - 12. Factor -m**3 - r*m + 2*m**3 + m**3.
2*m*(m - 1)*(m + 1)
Let a(z) be the third derivative of -z**8/10080 + z**7/1260 - z**6/360 + z**5/30 + 3*z**2. Let q(j) be the third derivative of a(j). Factor q(r).
-2*(r - 1)**2
What is q in 0*q**2 + 0 + 0*q - 3/7*q**3 = 0?
0
Let j(v) = -2*v - 3. Let n(h) = -h - 3. Let w be n(0). Let l be j(w). Let -o**3 - 2*o**5 - 4*o**l + o**3 + 4*o**5 + 2*o = 0. What is o?
-1, 0, 1
Let k be 1*1/(-10)*-8. Let o(n) be the first derivative of -2/5*n**3 - n**2 - k*n + 2/25*n**5 - 1 + 1/10*n**4. Determine d so that o(d) = 0.
-1, 2
Suppose 3*t - x = 4, -4 = 2*t + t + x. Factor -7/2*l**3 + t + 3*l**4 + l**2 + 0*l.
l**2*(2*l - 1)*(3*l - 2)/2
Let r(i) be the second derivative of -i**4/24 + i**3/3 - 3*i**2/4 - 25*i. Let r(t) = 0. What is t?
1, 3
Let i = 47/3 + -15. Factor -i*v - 2/9 - 2/9*v**3 - 2/3*v**2.
-2*(v + 1)**3/9
Suppose 3*z - 8 = 2*k, k - 2*z = -z - 2. Factor 15*v**2 + 5*v**2 - 19*v**k.
v**2
Factor -1/4*t + 1/8*t**3 + 0 + 1/8*t**2.
t*(t - 1)*(t + 2)/8
Let s = -3 - -5. Find h such that -80*h**4 + 5*h**5 + 6*h -