(m) be the second derivative of -m**7/1680 - 2*m**4/3 - 2*m. Let o(r) be the third derivative of u(r). Factor o(x).
-3*x**2/2
Let i(k) = -k + 3. Let v(q) = -q**3 - 8*q**2 - 6*q + 7. Let c be v(-7). Let x be i(c). Factor -4*l**3 - 4*l**x - 1 - 1 + 8*l + 2*l**2.
-2*(l - 1)*(l + 1)*(4*l - 1)
Let o be (-1)/(5/2) + 1. Suppose -2 - 2 = -2*r. Factor 3/5 - 6/5*t + o*t**r.
3*(t - 1)**2/5
Let b(m) = m**3 - 7*m**2 + 2*m - 14. Let y be b(7). Factor -2/3*x - 2/3*x**2 + y.
-2*x*(x + 1)/3
Let 28*w + 4*w**2 + w**2 - 2*w**2 - 7*w = 0. Calculate w.
-7, 0
Solve 0*f + 0 + 3/4*f**2 = 0 for f.
0
Let 32*b + 8 - 57*b**5 - 56*b**5 + 14*b**4 + 50*b**2 + 115*b**5 + 38*b**3 = 0. What is b?
-2, -1
Let j(k) be the second derivative of -k**7/21 + k**6/3 - 9*k**5/10 + 7*k**4/6 - 2*k**3/3 + 11*k. What is d in j(d) = 0?
0, 1, 2
Let b = 1 + -1. Let u = b + 2. Let -6*r**u + 3*r**2 + r**2 - 4*r = 0. Calculate r.
-2, 0
Let c be ((-8)/12)/(2 + 60/(-2)). Let i(o) be the second derivative of 0*o**2 + 1/35*o**5 + c*o**4 + 0*o**3 + 0 + 3*o + 1/105*o**6. Factor i(y).
2*y**2*(y + 1)**2/7
Let k(n) be the second derivative of 0*n**4 + 0*n**2 + 0 - 1/15*n**3 + 2*n + 1/50*n**5. Factor k(t).
2*t*(t - 1)*(t + 1)/5
Suppose 4/3*t**3 + 0 - 2/3*t**5 + 0*t**2 - 2/3*t + 0*t**4 = 0. Calculate t.
-1, 0, 1
Let b(i) = 32*i**4 - 11*i**3 - 9*i**2 - 7*i - 5. Let c(f) = 32*f**4 - 10*f**3 - 8*f**2 - 8*f - 6. Let w(k) = 6*b(k) - 5*c(k). Factor w(n).
2*n*(n - 1)*(4*n + 1)**2
Let u = -41 - -41. Let d(i) be the first derivative of 2 + 4/21*i**3 + 0*i + 11/14*i**4 + 18/35*i**5 + u*i**2. Factor d(l).
2*l**2*(l + 1)*(9*l + 2)/7
Let t(n) be the third derivative of -n**7/105 + 3*n**5/5 - 27*n**3 + 5*n**2. Factor t(l).
-2*(l - 3)**2*(l + 3)**2
Let f(r) be the first derivative of 0*r + 1/2*r**3 + 0*r**2 + 6 - 3/10*r**5 + 0*r**4. Factor f(c).
-3*c**2*(c - 1)*(c + 1)/2
Let h(z) = -z**2 + 2. Let u(y) = y**3 + 7*y**2 - 7*y + 2. Let q be u(-8). Let o(l) = l**3 - l**2 + 1. Let b(w) = q*o(w) + 3*h(w). Factor b(g).
-3*g**2*(2*g - 1)
Let h(j) = 10*j + 253. Let i be h(-25). Find z such that 2/7*z**i + 2/7*z**2 - 2/7*z**4 - 2/7*z + 0 = 0.
-1, 0, 1
Let b(n) be the first derivative of -n**6/15 + n**5/3 - 2*n**4/3 + 2*n**3/3 - n**2/3 + 4*n + 4. Let r(j) be the first derivative of b(j). Factor r(f).
-2*(f - 1)**3*(3*f - 1)/3
Suppose 2*l + 3*l - 15 = 0. Suppose g + l*f = -g + 15, 5 = -g + f. Factor g*w + 1/4*w**2 + 0.
w**2/4
Let c(d) = 7*d**2. Let n(j) = -3*j**2. Suppose 2*s - 6*s + 8 = 0. Let b(z) = s*c(z) + 5*n(z). Find i, given that b(i) = 0.
0
Let n be -2*1/((-8)/60). Suppose -4*a + 7 = -2*v - 13, -5*v + 3*a = n. Factor v + 0*g + 3/2*g**2.
3*g**2/2
Let r(t) be the second derivative of t**8/280 + t**7/105 - t**6/270 - t**5/45 + t**4/36 + t**3/6 + 2*t. Let h(i) be the second derivative of r(i). Factor h(v).
2*(v + 1)**2*(3*v - 1)**2/3
Let f = 6 - 2. Factor -10*a**4 - 12*a**3 - 10*a**f - 12*a**2 + 17*a**4.
-3*a**2*(a + 2)**2
Let r(d) be the third derivative of 1/180*d**6 - 1/9*d**3 + 0*d + 0 - 1/36*d**4 + 1/90*d**5 - 4*d**2. Factor r(f).
2*(f - 1)*(f + 1)**2/3
Determine t so that -65*t**2 - 8 + 32*t**2 + 4*t + 37*t**2 = 0.
-2, 1
Factor -18*g**2 + 10*g - 16*g + 2 - 8*g**3 - 6*g - 4.
-2*(g + 1)**2*(4*g + 1)
Suppose -3*i - 4*r - 20 = 0, -3*r - 14 = 3*i - i. Let d(x) = 48*x**2 + 20*x + 3. Let z(q) = -96*q**2 - 39*q - 6. Let k(s) = i*z(s) - 9*d(s). Factor k(g).
-3*(4*g + 1)**2
Let i(r) be the first derivative of -5*r**4 + 8 - 4*r - 4*r**3 + 16/5*r**5 + 10*r**2. Determine n, given that i(n) = 0.
-1, 1/4, 1
Let w(s) be the third derivative of s**5/60 - s**4/24 - s**3/3 + 12*s**2. Let c be w(3). Determine n so that 1/4*n**2 - 1/4*n**c + 1/4*n - 1/4*n**3 + 0 = 0.
-1, 0, 1
Factor 4/3*r**3 - 4/3*r + 2/3 - 2/3*r**4 + 0*r**2.
-2*(r - 1)**3*(r + 1)/3
Let s = 9 + -4. Suppose 2*j - 4*y = -0*y - 12, y - 8 = -2*j. Let 0*a**3 - a**3 + a**4 - a**2 - j*a**5 + 3*a**s = 0. What is a?
-1, 0, 1
Let u(x) = 7*x**3 + 4*x**2 + x + 4. Let t(c) = 6*c**3 + 3*c**2 + 3. Let z(s) = -4*t(s) + 3*u(s). Find i such that z(i) = 0.
-1, 0, 1
Let w(x) = x. Let b be 2*-1*36/24. Let p(h) = -h**2 - 2*h. Let j(k) = b*p(k) - 3*w(k). Factor j(c).
3*c*(c + 1)
Factor 4/7 + 6/7*j + 2/7*j**2.
2*(j + 1)*(j + 2)/7
Factor 1/3*h**2 - 4/3 + 0*h.
(h - 2)*(h + 2)/3
Factor -51/8*t**4 - 15/8*t**5 + 0 - 3/4*t - 63/8*t**3 - 33/8*t**2.
-3*t*(t + 1)**3*(5*t + 2)/8
Let b(p) be the first derivative of 5*p**3/3 - 5*p + 26. Determine r, given that b(r) = 0.
-1, 1
Solve -10*r**2 + 2*r**3 + 9*r**2 - 5*r**2 = 0.
0, 3
What is o in 3*o**5 - o**3 - 6*o**2 + 2*o**3 - 5*o**4 + 7*o**2 = 0?
-1/3, 0, 1
Let g(k) = 7*k**5 + k**4 + 4*k**3 - 4*k**2 - 11*k - 2. Let c(i) = 0 - 7*i**3 + 1 - 4*i**5 + 2*i**2 + 6*i + 5*i**3. Let t(j) = -5*c(j) - 3*g(j). Factor t(n).
-(n - 1)*(n + 1)**4
Let 9/2*i**2 - 3 - 3/2*i + 3/2*i**3 - 3/2*i**4 = 0. What is i?
-1, 1, 2
Let h(f) be the second derivative of f**6/600 - f**5/300 - f**4/120 + f**3/30 + 3*f**2 + 5*f. Let r(x) be the first derivative of h(x). Solve r(m) = 0 for m.
-1, 1
Let o(y) be the third derivative of 1/180*y**5 + 0*y**3 + 0 + 1/72*y**4 - 3*y**2 + 0*y. Factor o(p).
p*(p + 1)/3
Let j(q) be the first derivative of -729*q**4/10 + 324*q**3/5 - 108*q**2/5 + 16*q/5 + 3. Factor j(n).
-2*(9*n - 2)**3/5
Let h = -4 + 9. Let -4*q**2 - h*q**4 - 7*q**4 - 12*q**3 - 7*q**5 + 3*q**5 = 0. What is q?
-1, 0
Let j(t) be the second derivative of 3*t**5/100 + t**4/10 + 2*t**3/15 - t**2/2 - t. Let f(s) be the first derivative of j(s). Suppose f(p) = 0. What is p?
-2/3
Suppose 6*u + 4 = 8*u. Solve 4/9*p + 2/9*p**u + 2/9 = 0.
-1
Let b(d) = -2*d**2 + d - 2. Let q(c) = -5*c**2 + 2*c - 4. Let w(s) = 7*b(s) - 3*q(s). Determine r so that w(r) = 0.
-2, 1
Suppose 0*b - 15 = 3*b. Let l(m) = m**2 + 4*m - 2. Let t be l(b). Factor -1 - v**5 + 2 + 0*v**3 + 2*v**2 - 3*v**4 - 2*v**t + 0*v + 3*v.
-(v - 1)*(v + 1)**4
Suppose -2*h - 3 + 9 = 0. Suppose 0 = -5*l - h*q - 3, 0*l + l = -2*q - 2. Solve 0 + l*m - 2/9*m**2 = 0.
0
Let y = 65/16 - 1747/432. Let i(b) be the second derivative of -y*b**4 - 1/135*b**6 - 2*b + 0 - 1/45*b**5 + 0*b**3 + 0*b**2. Let i(p) = 0. Calculate p.
-1, 0
Suppose 2*u + 0*u + 4*r = -12, -3*r - 16 = -2*u. Determine g so that -1/5*g**u + 0*g + 0 = 0.
0
Let f(c) be the first derivative of c**6/540 + c**5/135 + c**4/108 + 2*c**2 - 1. Let o(t) be the second derivative of f(t). Factor o(p).
2*p*(p + 1)**2/9
Let f(p) be the first derivative of -p**3/15 + 3*p**2/10 + 19. Determine g so that f(g) = 0.
0, 3
Let o(f) be the first derivative of -4*f**3/9 + 4*f**2 - 12*f - 9. Factor o(q).
-4*(q - 3)**2/3
Suppose -2*h = -2*y + 8, 7*y - 8*y = 3*h - 4. Solve h*q**2 + 4/3*q - 1/3*q**3 + 0 = 0 for q.
-2, 0, 2
Solve 0 - 2/5*t**4 + 0*t - 2/5*t**5 + 2/5*t**3 + 2/5*t**2 = 0 for t.
-1, 0, 1
Determine v so that -6/5*v**2 - 3/5*v**4 + 3/5*v**5 + 3*v + 9/5 - 18/5*v**3 = 0.
-1, 1, 3
Let u be ((-4)/5)/((-3)/15). Let m be (-3)/(-14) - (407/(-77) - -5). What is o in -o**2 + 1/2 + 1/2*o**u - 1/2*o**5 - m*o + o**3 = 0?
-1, 1
Let c(m) be the third derivative of -1/24*m**4 + 0 + 1/15*m**5 + 0*m**3 + 2*m**2 - 2/105*m**7 + 0*m + 1/120*m**6. Factor c(t).
-t*(t - 1)*(t + 1)*(4*t - 1)
Let x(f) = -385*f**3 + 1330*f**2 - 1165*f + 155. Let r(n) = 35*n**3 - 121*n**2 + 106*n - 14. Let y(h) = -65*r(h) - 6*x(h). Factor y(v).
5*(v - 2)*(v - 1)*(7*v - 2)
Let s(a) be the second derivative of 0 - 4/3*a**3 + 3*a**2 + 1/6*a**4 + 11*a. Factor s(l).
2*(l - 3)*(l - 1)
Let g = 9 - 3. Let i(y) = 5*y**3 - 8*y**2 - 6. Let u(n) = -6*n**3 + 9*n**2 + 7. Let z(c) = g*u(c) + 7*i(c). Factor z(a).
-a**2*(a + 2)
Let i(x) be the third derivative of 1/70*x**7 + 0*x + 0 - 1/60*x**5 + 5/24*x**4 - 1/3*x**3 - 1/24*x**6 + 3*x**2. Factor i(f).
(f - 1)**2*(f + 1)*(3*f - 2)
Let k = -173/72 + 21/8. Factor -2 - k*f**2 - 4/3*f.
-2*(f + 3)**2/9
What is a in 2/9*a**2 + 2 - 4/3*a = 0?
3
Let f = -135 - -139. Let -4/3*y**5 + 1/3*y**2 + 0 + 11/3*y**f - 3*y**3 + 1/3*y = 0. Calculate y.
-1/4, 0, 1
Let g be (611/26)/(2/(-4)). Let u = g + 143/3. Factor 6*q**3 + 4*q**2 + 0 + u*q + 8/3*q**4.
2*q*(q + 1)**2*(4*q + 1)/3
Let p(w) = -w**2 - 9*w + 13. Let t be p(-10). Factor -2/5*z**5 + 8/5*z**2 - 12/5*z**t + 8/5*z**4 - 2/5*z + 0.
-2*z*(z - 1)**4/5
Let i(d) be the second derivative of -3/20*d**5 + 0*d**6 + 1/42*d**7 - 1/6*d**4 + 0*d**3 + 0*d**2 + 0 + 4*d. Factor i(q).
q**2*(q - 2)*(