*(z + 1)**2
Let d(f) be the second derivative of f**9/60480 + f**8/26880 - f**7/10080 - f**6/2880 - f**4/4 + 3*f. Let z(i) be the third derivative of d(i). Factor z(g).
g*(g - 1)*(g + 1)**2/4
Solve -15/7*g**3 + 15/7*g + 27/7*g**2 - 3*g**4 - 6/7 = 0.
-1, 2/7, 1
Let p be 16/20 + -2 + 2. Let o(r) be the first derivative of -1/3*r**6 + 2 + r**4 + 4/25*r**5 + p*r - r**2 - 8/15*r**3. Find i such that o(i) = 0.
-1, 2/5, 1
Let p be (-11 - (-360)/50) + (0 - -5). Let -4/5 + p*o - 2/5*o**2 = 0. What is o?
1, 2
Factor -6*k**4 + 0*k**2 + 4*k**4 - k**2 + 3*k**3.
-k**2*(k - 1)*(2*k - 1)
Let h(a) = -1. Let r(n) = n**3 + 7*n**2 + 6*n - 2. Let w be r(-6). Let s(b) = 4*b**2 - 8*b + 2. Let d(m) = w*h(m) - s(m). Factor d(l).
-4*l*(l - 2)
Let h be ((-1)/2)/((-2)/40). Let f = 10 - h. Suppose -4/7*m**2 - 2/7*m**3 + f - 2/7*m = 0. Calculate m.
-1, 0
Let d(z) = z**3 - 2*z + 0*z - 8 - 6*z**2 + 4*z. Let u be d(6). Factor 3*x**u - x**4 - 3*x**4.
-x**4
Factor -3/5*i**2 - 6/5*i + 0.
-3*i*(i + 2)/5
Let r(h) be the first derivative of -h**6/3 + 2*h**5/5 + 3*h**4/2 - 2*h**3/3 - 2*h**2 - 33. What is f in r(f) = 0?
-1, 0, 1, 2
Suppose 0 = -5*x + 2*q + 9, x - 5*q + 12 = -0*x. Find j, given that 0*j + 3/2*j**x + j**2 + 1/2*j**4 + 0 = 0.
-2, -1, 0
Let g(m) = -4*m**2 + 4. Let x(y) be the first derivative of -y**3/3 + y + 5. Let o(l) = g(l) - 5*x(l). Suppose o(k) = 0. What is k?
-1, 1
Let t(k) be the first derivative of 0*k**2 - 3 - 4/3*k**3 + 1/40*k**5 - 1/480*k**6 + 0*k - 1/8*k**4. Let s(y) be the third derivative of t(y). Factor s(f).
-3*(f - 2)**2/4
Suppose -192/11*q**4 + 12/11*q**2 + 0 - 256/11*q**5 + 2/11*q - 16/11*q**3 = 0. What is q?
-1/2, -1/4, 0, 1/4
Let v be -4 + (0 - (-3)/(-6)). Let a = v - -5. Factor 0 - a*m**2 + 1/2*m**4 + 0*m + 0*m**3.
m**2*(m - 1)*(m + 1)/2
Let z = -2/1199 + 63551/2398. Let y = z + -26. Determine d so that y*d + 1/2*d**4 - 1/2*d**3 - 1/2*d**2 + 0 = 0.
-1, 0, 1
Let v(i) be the first derivative of -i**5/45 + i**4/9 - 5*i**3/27 + i**2/9 + 11. Let v(l) = 0. Calculate l.
0, 1, 2
Let y(j) be the third derivative of 3*j**8/784 + j**7/735 - 3*j**6/280 - j**5/210 - 18*j**2. Solve y(t) = 0.
-1, -2/9, 0, 1
Let x(s) be the third derivative of -s**7/315 - s**6/180 + s**5/90 + s**4/36 + 25*s**2. Factor x(f).
-2*f*(f - 1)*(f + 1)**2/3
Factor 2/21*q**2 - 2/21*q - 4/21.
2*(q - 2)*(q + 1)/21
Suppose j + 0*j - 3 = 0. Find p such that -32*p**2 - 4 + 4*p**3 - p**3 + 5*p**3 + 6*p**j + 22*p = 0.
2/7, 1
Suppose -2*r + 9 = 3. Factor -4*y**2 - 3*y**3 - 2*y**2 - 5*y**2 + 2*y**2 + 6 + 3*y + r*y**4.
3*(y - 2)*(y - 1)*(y + 1)**2
Let -1/2*t + 1/4*t**5 - 3/4*t**4 + 3/4*t**2 + 0 + 1/4*t**3 = 0. What is t?
-1, 0, 1, 2
Determine v, given that -1/5 - 1/5*v**2 + 2/5*v = 0.
1
Let m = -339/14 + 180/7. Let a(n) = n + 1. Let i be a(3). Suppose h**3 - h**2 - 1/2 - m*h + 3/2*h**i + 1/2*h**5 = 0. Calculate h.
-1, 1
Factor 1/4*b - 1/4*b**2 + 0.
-b*(b - 1)/4
Let g(s) = s**4 - 3*s**3 - 6*s**2 + s - 3. Let m(w) = 2*w**4 - 7*w**3 - 13*w**2 + 3*w - 7. Let p(x) = -14*g(x) + 6*m(x). Factor p(h).
-2*h*(h - 2)*(h + 1)**2
Let h = 2 - -1. Let n(a) = a**2 - 9*a - 7. Let i be n(10). Factor -2*r**h + 7*r**3 + 4*r**2 + 2*r - 3*r**i.
2*r*(r + 1)**2
Let s(m) = -m**2 + 2*m + 3. Let v(n) = n**2 - 3*n - 4. Let t be 4*-1*(-9)/(-12). Let g(z) = t*v(z) - 4*s(z). Let g(p) = 0. Calculate p.
-1, 0
Suppose 27*s - 3*s**2 + 4*s**2 - 29*s = 0. Calculate s.
0, 2
Let v(i) = -2*i + 22. Let z be v(9). Suppose -8*u**2 + 1/4*u**5 + 0 + z*u - 2*u**4 + 6*u**3 = 0. Calculate u.
0, 2
Let g be (-8)/16*(-2 + 2). Let o(x) be the third derivative of 1/30*x**5 + 0*x + 1/30*x**4 + g - 2*x**2 + 0*x**3. Suppose o(r) = 0. Calculate r.
-2/5, 0
Let o(v) be the first derivative of -v**6/8 + 2*v**5/5 - v**4/4 - v**3/2 + 7*v**2/8 - v/2 - 37. Solve o(k) = 0.
-1, 2/3, 1
Let l(d) be the second derivative of 0*d**2 + 0 + 0*d**3 + 22/15*d**6 - 14/5*d**5 - 5/21*d**7 + d + 4/3*d**4. Factor l(y).
-2*y**2*(y - 2)**2*(5*y - 2)
Let s(j) = -20*j - 4. Let u be s(-9). Let h = -78 + u. Find k such that -20*k**2 + h*k**4 - 7*k - k - 28*k**2 - 42*k**3 = 0.
-2/7, 0, 1
Suppose -h = 3*p + 6, -p = -5*h - 10 + 28. Suppose 3*n**4 - 3*n**2 + 3*n - 3*n**h + n**4 - n**4 = 0. What is n?
-1, 0, 1
Factor -2 + 21*d**2 + 1 - 6*d - 15*d**3 + 1.
-3*d*(d - 1)*(5*d - 2)
Suppose -84 = p + 3*p. Let x = -13 - p. Factor -7 - 18*m**3 - x*m**2 + 15 - 32*m + 50*m**2.
-2*(m - 1)*(3*m - 2)**2
Let c = 2 - 4. Let v = c + 4. Suppose 8*o**3 - 10*o**v - 4*o**2 + 5*o - 2*o + 2 + o = 0. What is o?
-1/4, 1
Let z be ((-2)/6 - 0)*57/(-76). Let i(c) = -c + 5. Let p be i(5). Let p*o**2 - z*o**3 + 1/4*o + 0 = 0. What is o?
-1, 0, 1
Let z = -15 + 31/2. What is m in 0*m**2 + 0 + 1/2*m - z*m**3 = 0?
-1, 0, 1
Let u(r) = 15*r**3 - 6*r**2 - 6*r - 6. Let x(q) = -17*q**3 + 7*q**2 + 5*q + 7. Let y(s) = 7*u(s) + 6*x(s). Factor y(h).
3*h*(h - 2)*(h + 2)
Let o(m) = 9*m**4 - 5*m**3 - 5*m**2 + 5*m + 4. Let w(h) = -35*h**4 + 20*h**3 + 20*h**2 - 20*h - 15. Let p(x) = -15*o(x) - 4*w(x). Find u, given that p(u) = 0.
-1, 0, 1
Let w(b) be the third derivative of -b**7/7140 + b**6/3060 + b**3/6 - 5*b**2. Let m(o) be the first derivative of w(o). Factor m(k).
-2*k**2*(k - 1)/17
Let t = 3539/1020 + -167/60. Let x = -6/17 + t. What is g in -2/3*g**4 - x*g**3 + 0 + 0*g**2 + 0*g - 1/3*g**5 = 0?
-1, 0
Let d(b) = b**2 + 4*b + 3. Let w be d(-3). Solve 2/5*q**3 - 2/5*q + w + 0*q**2 = 0.
-1, 0, 1
Factor -2/5*i**4 + 2/5*i + 0 + 2/5*i**2 - 2/5*i**3.
-2*i*(i - 1)*(i + 1)**2/5
Factor 5/3*k + 0 - 1/3*k**2.
-k*(k - 5)/3
Let c be (-2 - -1)/((-70)/20). Factor 2/7*z**5 - 6/7*z + 4/7*z**3 + 4/7*z**2 + c - 6/7*z**4.
2*(z - 1)**4*(z + 1)/7
Factor -7/4 + 27/4*o + o**2.
(o + 7)*(4*o - 1)/4
Let h(x) be the first derivative of -x**6/3 + 2*x**4 - 4*x**3/3 - 3*x**2 + 4*x - 33. Suppose h(s) = 0. Calculate s.
-2, -1, 1
Let s(t) = t**2 - t + 4. Let o be s(0). Suppose -o = d - 3*d. Factor -z + d*z**2 - 4 + 0*z**2 + 3*z.
2*(z - 1)*(z + 2)
Let x be (-2)/3 - (-24)/32. Let g(l) be the third derivative of 1/3*l**3 + 0*l + 1/120*l**5 + 0 + x*l**4 - l**2. What is k in g(k) = 0?
-2
Let c(i) = 3*i**3 - 30*i**2 + 27*i + 3. Let f(g) = -6*g**3 + 60*g**2 - 54*g - 5. Let j(t) = -5*c(t) - 3*f(t). Determine v so that j(v) = 0.
0, 1, 9
Let c(u) be the second derivative of 3/20*u**5 - 1/42*u**7 + 0 - 1/3*u**3 + 8*u + 1/30*u**6 + 0*u**2 - 1/12*u**4. Find f, given that c(f) = 0.
-1, 0, 1, 2
Let q(v) = -7*v**2 - 3*v + 4. Let j(l) = 6*l**2 + 3*l - 3. Let o(h) = -6*j(h) - 5*q(h). What is m in o(m) = 0?
-2, -1
Let z be 6/39 - (-37)/13. Let x(s) = -s**3 - 4*s**2 + 20*s - 12. Let d(q) = -q**3. Let k(b) = z*d(b) + x(b). Factor k(n).
-4*(n - 1)**2*(n + 3)
Let t(p) be the first derivative of 4 - p**2 + 8/3*p**3 + 0*p. Factor t(w).
2*w*(4*w - 1)
Let t(s) be the second derivative of s**7/21 - s**6/30 - 7*s**5/20 - s**4/12 + 5*s**3/6 + s**2 + 13*s. Solve t(k) = 0 for k.
-1, -1/2, 1, 2
Suppose 5*c + 0*w + 8 = -4*w, 0 = 5*c + w + 2. Suppose 3*s + g - 22 = -g, 4*s + 2*g - 26 = c. Let h**5 + h**5 + 0*h**s - 2*h**4 = 0. Calculate h.
0, 1
Let f(u) be the first derivative of -u**7/280 + u**6/60 - u**5/40 + 5*u**3/3 + 5. Let a(w) be the third derivative of f(w). Factor a(d).
-3*d*(d - 1)**2
Determine c, given that 11*c + 5*c**2 + 0 - 5*c**3 - 6*c - 5 = 0.
-1, 1
Factor 0*q + 6*q**2 + 0*q + 9*q**3 + 0*q.
3*q**2*(3*q + 2)
Let j be 0 + -2 + 24/30*3. Suppose 4/5*y + j*y**4 + 0 - 2/5*y**2 - 4/5*y**3 = 0. Calculate y.
-1, 0, 1, 2
Let n(p) = -p + 17. Let y be n(12). Factor 0*w + 2/7*w**2 + 0 - 2/7*w**3 - 2/7*w**4 + 2/7*w**y.
2*w**2*(w - 1)**2*(w + 1)/7
Let z(k) be the third derivative of k**7/12600 - k**6/1800 + k**5/600 - k**4/8 - 2*k**2. Let n(d) be the second derivative of z(d). Let n(p) = 0. Calculate p.
1
Let o(s) be the third derivative of s**7/1890 + s**6/540 - s**5/180 - s**4/27 - 2*s**3/27 + 3*s**2 - 6*s. Factor o(c).
(c - 2)*(c + 1)**2*(c + 2)/9
Let y(m) be the first derivative of -m**6/60 + 11*m**5/120 - 5*m**4/48 - m**3/6 - m**2 + 1. Let d(h) be the second derivative of y(h). Factor d(o).
-(o - 2)*(o - 1)*(4*o + 1)/2
Let b(i) = -i**3 + i**2 - 1. Let j(r) = -10*r**3 + 4*r**2 - 8. Let a(w) = 8*b(w) - j(w). Determine g, given that a(g) = 0.
-2, 0
Let y(v) be the third derivative of 2*v**2 + 0 + 1/96*v**4 + 0*v - 1/240*v**5 + 0*v**3. Factor y(l).
-l*(l - 1)/4
Solve -6*u**3 - 50*u + 8*u**5 -