cond derivative of k - 3/10*k**5 + 3/2*k**4 - 2*k**2 + 0 + 1/40*k**6 - 4*k**3. Let b(v) be the first derivative of u(v). Factor b(g).
3*(g - 2)**3
Let r(y) be the first derivative of y**7/168 - y**6/40 + 3*y**5/80 - y**4/48 - y + 1. Let x(m) be the first derivative of r(m). Solve x(d) = 0 for d.
0, 1
Solve -4/7 + 0*w + 4/7*w**2 = 0 for w.
-1, 1
Let i(c) = -c**2 - 1. Let o be 9/12 + (-2)/(-8). Let r = o + -3. Let v(h) = -h**2 - 3. Let w(l) = r*v(l) + 4*i(l). Factor w(g).
-2*(g - 1)*(g + 1)
Factor 10/9*u**2 + 4/9*u - 14/9*u**3 + 0.
-2*u*(u - 1)*(7*u + 2)/9
Suppose -1/3*x**5 + 0*x**2 + 0 - 1/3*x**3 - 2/3*x**4 + 0*x = 0. Calculate x.
-1, 0
Let i(r) be the second derivative of -r**7/140 - r**6/80 - 4*r**2 - 3*r. Let n(a) be the first derivative of i(a). Suppose n(w) = 0. What is w?
-1, 0
Let y = -901/7 - -129. Factor -y*q**4 + 4/7*q**2 + 0*q**3 + 0*q - 2/7.
-2*(q - 1)**2*(q + 1)**2/7
Let y(m) = -10*m**2 + 10*m + 36. Let d(f) = 2*f**2 - 2*f - 7. Suppose 3*p - 4*g = 21, 0*p + 2*g = -2*p. Let r(j) = p*y(j) + 16*d(j). Factor r(k).
2*(k - 2)*(k + 1)
What is g in -1/2*g**4 + 3/2*g**3 + 0 + 0*g**2 + 0*g = 0?
0, 3
Let t(o) be the third derivative of o**8/630 + o**7/420 - o**6/540 - 3*o**3/2 + 2*o**2. Let w(r) be the first derivative of t(r). Find x, given that w(x) = 0.
-1, 0, 1/4
Let j(y) be the first derivative of -y**4/30 - y**3/5 - 2*y**2/5 - 3*y + 2. Let m(v) be the first derivative of j(v). Factor m(f).
-2*(f + 1)*(f + 2)/5
Let q be ((-2)/36)/(989/2). Let d = 1017682/8901 + q. Find f, given that d*f**4 + 8/3 - 637/3*f**3 + 126*f**2 - 92/3*f = 0.
2/7, 1
Let r(d) = 8*d**4 + 16*d**3 - 8*d**2 - 11*d. Let j(u) = -12*u**4 - 24*u**3 + 12*u**2 + 16*u. Let q(p) = 5*j(p) + 8*r(p). Factor q(o).
4*o*(o - 1)*(o + 1)*(o + 2)
Let h(i) be the third derivative of -1/48*i**4 + 1/240*i**6 + 1/420*i**7 - 1/120*i**5 + 0 + 0*i**3 + 0*i - 4*i**2. Solve h(f) = 0 for f.
-1, 0, 1
Let j(s) = s**3 + 2*s**2 + 2. Let f be j(-2). Let p = -111 + 113. Solve -3 + 7*m**2 - 3*m**p - 6*m**3 + 15*m**3 - m**f - 9*m = 0.
-1, -1/3, 1
Let r = 61/52 + -12/13. Determine t, given that 1/4*t**4 + r - t - t**3 + 3/2*t**2 = 0.
1
Determine p, given that 0 - 4/3*p**5 + 0*p + 0*p**2 + 0*p**3 + 4/3*p**4 = 0.
0, 1
Let j = 34333/385 + -980/11. Let d(l) be the third derivative of -4/15*l**5 + 1/3*l**4 + 0 + j*l**7 - 1/20*l**6 + 0*l + l**2 + 0*l**3. Let d(r) = 0. What is r?
-1, 0, 2/3
Let w(i) = -i**5 - 3*i**4 + 8*i**3 + 6*i**2 + 14*i - 6. Let t(f) = 2*f**5 + 6*f**4 - 17*f**3 - 11*f**2 - 29*f + 13. Let s(q) = -6*t(q) - 13*w(q). Factor s(a).
a*(a - 2)*(a + 1)*(a + 2)**2
Let w(c) be the first derivative of -4*c**3/15 + 4*c**2/5 - 4*c/5 + 16. Factor w(o).
-4*(o - 1)**2/5
Suppose -25 - 50 = -5*s. Let i be -2 - (s/(-2))/3. What is u in u + 1/2*u**2 + i = 0?
-1
Suppose 2*c = 4*c - 4*j - 14, 4*j + 12 = 0. Let w be (-4)/c*(-1)/2. Factor 4/5*p**4 + 0 + 0*p**w - 2/5*p**3 + 0*p - 2/5*p**5.
-2*p**3*(p - 1)**2/5
Let m(a) be the third derivative of a**5/15 + a**4/3 - 16*a**2. Find c, given that m(c) = 0.
-2, 0
Let h(s) = 2*s + 23. Let z be h(-11). Factor -1/2*w**4 - 9/2*w**2 - z + 7/2*w + 5/2*w**3.
-(w - 2)*(w - 1)**3/2
Suppose -4/7 + 2*b + 6/7*b**3 - 16/7*b**2 = 0. What is b?
2/3, 1
Suppose -1 = -k + 1. Determine w, given that 4*w**3 - 4*w - 5 - k*w**2 + 8*w**2 + 1 - 2*w**2 = 0.
-1, 1
Let n(m) = m**2 + m. Let y be n(-2). Determine z so that 2*z**2 - 10*z - 4*z**2 - 2*z**y - 2*z = 0.
-3, 0
Let u be 9/42*(-20)/(-15). Suppose 2/7*l**2 - 2/7*l**3 - 2/7 + u*l = 0. What is l?
-1, 1
Let z(i) be the third derivative of -i**5/20 - i**4/8 + 17*i**2. Factor z(k).
-3*k*(k + 1)
Suppose j - 3 + 1 = 0. Let i(z) = 2*z - 8. Let b be i(6). Find y such that 8*y**5 + y - 18*y**2 - j*y**5 + 3*y - 22*y**b + 30*y**3 = 0.
0, 2/3, 1
Let o(y) be the third derivative of y**8/10080 - y**7/420 + y**6/40 - y**5/12 + 6*y**2. Let d(m) be the third derivative of o(m). Factor d(h).
2*(h - 3)**2
Find q, given that 3/2*q + 0 + 1/2*q**3 + 2*q**2 = 0.
-3, -1, 0
Let h(t) = 2*t**3 + 4*t**2 - 3*t - 3. Let c(b) = b**4 + b**2 + b + 1. Let u(z) = -c(z) + h(z). Suppose u(l) = 0. What is l?
-1, 2
Determine v so that -6/17*v - 2/17*v**2 - 4/17 = 0.
-2, -1
Solve -45*r + 67*r**2 + 45 - 72*r**2 + 5*r = 0 for r.
-9, 1
Let y be 78/24 + (-2 + 3 - 4). Let y*l + 1/4*l**3 - 1/2*l**2 + 0 = 0. What is l?
0, 1
Let k be 40/16 - 2/4. Let j be k + -4 - (-6 - 0). Factor -1/3*n + 2/3*n**3 - 1/3*n**5 + 0 + 0*n**j + 0*n**2.
-n*(n - 1)**2*(n + 1)**2/3
Let y(z) = 5*z**4 - 9*z**3 - 9*z**2 - z + 6. Let n = 3 - -3. Let s(c) = -9*c**4 + 17*c**3 + 17*c**2 + 2*c - 11. Let p(m) = n*s(m) + 11*y(m). Solve p(j) = 0.
-1, 0
Let v(p) = -p**2 - 3*p + 4. Let u be v(-4). Factor u*s - 3/2*s**3 + 9/2*s**2 - 6.
-3*(s - 2)**2*(s + 1)/2
Suppose -k = -5*y - 30, -2*k + 36 = 2*k + y. Let i be 1/(3/42*k). Solve 3/5*t**4 + t**2 + 1/5*t + 0 + i*t**3 = 0.
-1, -1/3, 0
Suppose 0*b + b = 3. Let -13*i**2 + 4*i**2 + 6*i + 0*i**3 + b*i**3 = 0. Calculate i.
0, 1, 2
Factor -3/2*i - 1/4*i**2 - 9/4.
-(i + 3)**2/4
Let v(z) = z**2 + 4*z + 4. Let j(i) = -i**2 + i + 1. Let u(d) = -4*j(d) + v(d). Factor u(m).
5*m**2
Let a = -99 + 44. Let s be (-120)/a - (-2)/(-11). Suppose 8/5*b**3 + 4/5 + 2/5*b**5 - 8/5*b**4 - s*b + 4/5*b**2 = 0. What is b?
-1, 1, 2
Let n be -3*(1 + 15/(-9)). Factor -s + 9*s**n + 1 - 10*s + 5*s.
(3*s - 1)**2
Let d(f) be the first derivative of -f**3/3 - f**2 - 2. Factor d(w).
-w*(w + 2)
Let q(s) = -13*s**5 + 6*s**3. Let v(k) = 4*k**5 - 2*k**3. Let g(r) = 2*q(r) + 7*v(r). Factor g(c).
2*c**3*(c - 1)*(c + 1)
Suppose -3*s + 6*c + 93 = 3*c, -2*s = 4*c - 56. Suppose -5*y + s = 5*a, -a - 8 = a - 2*y. What is h in a + h**2 - 3*h + 2*h - h = 0?
1
Let -2*z**3 + 0 + 4/3*z**4 + 2/3*z**2 + 0*z = 0. What is z?
0, 1/2, 1
Let i(y) be the first derivative of -y**4/4 - 2*y**3/3 + 3*y**2/2 - 3*y + 1. Let d(o) = -2*o**2 + o**2 + 1 - o + 2*o**2. Let j(l) = -3*d(l) - i(l). Factor j(w).
w**2*(w - 1)
Let y(z) be the first derivative of z**5/60 + z**4/18 + z**3/18 - 2*z - 2. Let x(b) be the first derivative of y(b). Determine g, given that x(g) = 0.
-1, 0
Suppose -2*a - 2 = -4*l, 0*l - 2*a = 2*l + 8. Let p be 3 + 12/(4/l). Suppose 2/5*j - 2/5*j**3 + p + 0*j**2 = 0. Calculate j.
-1, 0, 1
Let n(v) = -9 + 0 - 3*v**2 - 7*v + 0. Let y(k) = -k**2 - k - 1. Let i(a) = n(a) - 5*y(a). Find h, given that i(h) = 0.
-1, 2
Let k(u) = 6*u**2 + 8*u + 8. Let n(t) = -2 - 2*t - 7*t**2 - 6 - 6*t. Let p(g) = 5*k(g) + 4*n(g). Suppose p(a) = 0. What is a?
-2
What is r in 0 - 4/7*r + 2/7*r**2 + 12/7*r**3 - 2*r**4 + 4/7*r**5 = 0?
-1/2, 0, 1, 2
Let s(u) be the first derivative of 2 - 1/27*u**3 - 1/270*u**5 + 0*u - 1/54*u**4 - 3/2*u**2. Let h(c) be the second derivative of s(c). Factor h(t).
-2*(t + 1)**2/9
Let c = -141/2 + 71. Factor -c + 3/4*j - 1/4*j**2.
-(j - 2)*(j - 1)/4
Let v = -2 - -3. Suppose t + 4 = 0, -s + 3*t = -0 - 17. Factor -3*g**2 + s*g**2 - 3*g**2 + v.
-(g - 1)*(g + 1)
Suppose a = 4*a - 5*d + 13, 21 = -a + 5*d. Let i be a/(-4)*-1 + -1. Let i - 8/11*k**2 - 2/11*k = 0. What is k?
-1/4, 0
Let s = 16 - 10. Let w(c) be the second derivative of 13/21*c**4 - 9/49*c**7 - 3*c + 9/35*c**5 + 1/7*c**2 + 0 + 3/7*c**3 - 9/35*c**s. What is v in w(v) = 0?
-1, -1/3, 1
Let t(a) be the second derivative of -a**5/110 + a**4/22 + a**3/33 - 3*a**2/11 - 17*a. Find w, given that t(w) = 0.
-1, 1, 3
Let s(a) be the first derivative of 2*a**3/45 - 8*a/15 - 4. Factor s(o).
2*(o - 2)*(o + 2)/15
Let b be -1 + 1 + (1 - -2). Let s be (4/14)/(248/217). Factor 2*i**4 + 0*i + 5/4*i**5 - 1/2*i**2 + 0 + s*i**b.
i**2*(i + 1)**2*(5*i - 2)/4
Let n(z) be the third derivative of -z**9/60480 + z**8/6720 - z**7/2016 + z**6/1440 + z**4/24 - 5*z**2. Let l(t) be the second derivative of n(t). Factor l(q).
-q*(q - 2)*(q - 1)**2/4
Let s = 1 + 2. Let p(l) = -2*l**2 + l**3 + 2 - l**3 - 2*l + 2*l**s. Let h(m) = -2*m**3 + 3*m**2 + 2*m - 3. Let u(v) = 2*h(v) + 3*p(v). Factor u(o).
2*o*(o - 1)*(o + 1)
Let t(g) = -g**5 - g**4 - g**2. Let x(v) = -5*v**5 + v**4 + 16*v**3 + 6*v**2. Let k(j) = -6*t(j) + x(j). Factor k(f).
f**2*(f + 2)**2*(f + 3)
Let p(n) = n**4 - n**3 + n**2 + 1. Let g(k) = -9*k**5 + 11*k**4 - 7*k**2 - 5. Let z(j) = -3*g(j) - 15*p(j). Solve z(t) = 0.
-2/9, 0, 1
Let n(u) = -8*u**4 + 8*u**3. Let g(v) = -7*v**4 + 7*v**3. Let b be 21/5 - (-4)/5. Let q(t) = b*n(t) - 6*g(t). Suppose q(l