 220*i + 10. Let v(h) = 36*m(h) + 2*p(h). Solve v(l) = 0 for l.
-7, 2/25
Let x(g) = -2*g**2 - 2. Let z(l) = -l**2 - 7*l - 2. Let b(r) = x(r) - z(r). Find o such that b(o) = 0.
0, 7
Let z = -16828 - -67687/4. Let f = z + -93. Solve 1/2*g - 1/4*g**2 + f = 0.
-1, 3
Let a(d) = -d**3 + d**2 + 25. Let p be a(0). Let y = p - 10. Let 2*r - 2*r**3 - y*r**4 - 356 + 354 + 14*r**2 + 3*r**4 = 0. What is r?
-1, -1/2, 1/3, 1
Let q = 4673/322 - 2/161. Let a = 15 - q. Determine h so that 1/4*h + 1/2*h**4 - 1/4*h**5 + 0*h**3 + 0 - a*h**2 = 0.
-1, 0, 1
Suppose 0 = -0*p + 4*p - 2*u - 6, 3*p - 2*u - 3 = 0. Factor -4*n - n + 9 + 2*n - 3*n - p*n**2.
-3*(n - 1)*(n + 3)
Let a(i) be the third derivative of 0*i - 25*i**2 - 1/15*i**5 + 0 + 0*i**3 + 1/4*i**4 - 1/60*i**6. Factor a(j).
-2*j*(j - 1)*(j + 3)
Let y(g) be the third derivative of -g**5/72 + 55*g**4/72 - 50*g**3/9 + 131*g**2. Solve y(a) = 0 for a.
2, 20
Let v(z) = 28*z**2 + 4*z - 44. Let j(d) = -d**3 - 24*d**2 - 4*d + 44. Let a(l) = -4*j(l) - 5*v(l). Factor a(u).
4*(u - 11)*(u - 1)*(u + 1)
Let h(z) be the third derivative of -z**8/50400 - z**7/6300 - z**6/1800 + z**5/15 + 12*z**2. Let q(b) be the third derivative of h(b). Factor q(f).
-2*(f + 1)**2/5
Let d be ((-3)/(-1 - 2))/(4/40). Let g(t) be the first derivative of -8 + 5/3*t**3 + 20*t - d*t**2. Factor g(z).
5*(z - 2)**2
Let h(l) = 0*l - l + 2*l + 0*l. Let p(i) = -i**2 - 5*i + 4. Let v(q) = 6*h(q) + 3*p(q). Solve v(o) = 0 for o.
-4, 1
Factor 72*o + 15*o**3 - 6*o**4 - 3*o**2 - 138*o + 60*o.
-3*o*(o - 2)*(o - 1)*(2*o + 1)
Let t = 7 + -5. Let x(h) be the first derivative of 2*h**3 - 1 - 1 - 3*h**t - 2*h**3 + h**3. Factor x(f).
3*f*(f - 2)
Let c(n) be the first derivative of -3/2*n**2 + n + 2*n**4 + 7 - 2*n**3. Factor c(o).
(o - 1)*(2*o + 1)*(4*o - 1)
Let c = -1 - -4. Let x be ((-170)/(-20) - 7)*14/6. Factor -1/2*i - 5/4*i**4 - c*i**2 - x*i**3 + 1/4.
-(i + 1)**3*(5*i - 1)/4
Let t(c) be the second derivative of 2*c**7/315 - c**6/25 + 8*c**5/75 - 7*c**4/45 + 2*c**3/15 - c**2/15 - c + 46. Let t(o) = 0. Calculate o.
1/2, 1
Suppose 1085*x - 8 = 1084*x. Factor -40 - 2/5*z**2 - x*z.
-2*(z + 10)**2/5
Suppose -5*b - 477 = -a, -10*b - 4*a = -13*b - 276. Let y = -191/2 - b. Let -1/2*w - 3/2*w**3 + 3/2*w**2 + 0 + y*w**4 = 0. Calculate w.
0, 1
Let c be 1 - -4 - (5 + (1 - 4)). Let n(s) be the second derivative of -7*s + 1/30*s**4 + 0 + 0*s**2 + 1/15*s**c. Factor n(a).
2*a*(a + 1)/5
Let j(d) = d + 2. Let s be j(-6). Let n be (-69)/(-21) - s/(-14). Solve 2*h**n + 10*h - 6*h**2 - 2*h**2 + 2 - 6 = 0 for h.
1, 2
Let l(f) be the second derivative of -5/2*f**2 + 0 + 5/24*f**4 - 6*f - 5/12*f**3. Factor l(x).
5*(x - 2)*(x + 1)/2
Factor -2/5*o**4 + 0 - 6/5*o**2 - 2*o**3 + 18/5*o.
-2*o*(o - 1)*(o + 3)**2/5
Let f(x) be the third derivative of x**8/5040 - x**7/2520 - x**6/540 + 29*x**3/6 + 2*x**2. Let n(l) be the first derivative of f(l). Factor n(i).
i**2*(i - 2)*(i + 1)/3
Let a(y) be the first derivative of 2*y**6/15 - y**5/5 - y**4/3 + 2*y**3/3 + 41*y - 5. Let x(j) be the first derivative of a(j). Factor x(t).
4*t*(t - 1)**2*(t + 1)
Let i be 48/(-18)*(-1)/(-6). Let k = 8/63 - i. Factor 2/7*z**3 + 0*z**2 + k - 6/7*z.
2*(z - 1)**2*(z + 2)/7
Let j(o) be the second derivative of 0 - 7*o + 1/105*o**7 + 0*o**2 - 1/50*o**5 + 1/30*o**4 + 0*o**3 - 1/75*o**6. Solve j(l) = 0.
-1, 0, 1
Suppose -63 = -23*a + 29. Let l(d) = 4*d**2 - 3*d + 4. Let x(r) = -r + 1. Let c be (1/(-2))/(4/8). Let n(q) = a*x(q) + c*l(q). Determine u, given that n(u) = 0.
-1/4, 0
Let m(p) = p**3 + 37*p**2 + 301*p + 14. Let u be m(-12). Factor 5/3*f**u - f**3 - 2/3*f + 0.
-f*(f - 1)*(3*f - 2)/3
Suppose -5*y + 4*t = t - 62, 3*y = 4*t + 46. Let h be 94/y - 5 - (0 + 4). Let -h + 1/5*w + 1/5*w**2 = 0. Calculate w.
-2, 1
Let s(m) be the first derivative of 3*m**5/5 - 27*m**4 + 244*m**3 + 2160*m**2 + 4800*m + 488. Factor s(j).
3*(j - 20)**2*(j + 2)**2
Let n(l) be the second derivative of 0*l**2 + 1/15*l**6 + 13/24*l**4 + 2/5*l**5 + 0 + 32*l + 1/4*l**3. Factor n(x).
x*(x + 3)*(2*x + 1)**2/2
Let q(k) be the third derivative of -1/10*k**5 + 0 - 1/60*k**6 + k**3 + 23*k**2 + 0*k + 1/12*k**4. What is u in q(u) = 0?
-3, -1, 1
Let l(q) be the first derivative of -q**4/14 + 16*q**3/21 - 20*q**2/7 + 32*q/7 + 76. Determine a so that l(a) = 0.
2, 4
Suppose 0*o**2 + 0*o - 3/7*o**3 + 0 = 0. Calculate o.
0
Factor -57*q**2 - 25 - 61*q**2 + 123*q**2 + 20*q.
5*(q - 1)*(q + 5)
Let s(z) be the first derivative of -2*z**5/5 + 8*z**4/11 + 112*z**3/33 - 64*z**2/11 - 96*z/11 - 127. Determine j, given that s(j) = 0.
-2, -6/11, 2
Let a(f) be the first derivative of 1/14*f**4 - 1/7*f**2 + 5 + 10/21*f**3 - 10/7*f. Find y such that a(y) = 0.
-5, -1, 1
Factor -1/4*w**2 - 31/2*w + 63/4.
-(w - 1)*(w + 63)/4
Let m(w) be the third derivative of 1/24*w**4 + 1/15*w**3 + 0 - 1/120*w**6 - 1/525*w**7 - 14*w**2 + 0*w + 0*w**5. Find r, given that m(r) = 0.
-2, -1, -1/2, 1
Let f(t) = 11*t**4 + 8*t**3 - 3*t**2 + 1. Let q(k) = k**4 - k**2 - 1. Suppose 0*i + 3*i = -3. Suppose 72 - 70 = -2*d. Let m(h) = d*q(h) + i*f(h). Factor m(l).
-4*l**2*(l + 1)*(3*l - 1)
Let h(p) = -2*p**3 + 12*p**2 + 18*p - 24. Let f be h(7). Let g(m) be the second derivative of 1/3*m**f + 0*m**2 + 1/10*m**5 + 1/3*m**3 + 0 + 8*m. Factor g(k).
2*k*(k + 1)**2
Let s(y) = 26*y**3 + 66*y**2 + 86*y + 14. Let v(x) = -5*x**3 - 13*x**2 - 17*x - 3. Let b(k) = 6*k + 46. Let c be b(-5). Let n(d) = c*v(d) + 3*s(d). Factor n(q).
-2*(q + 1)**2*(q + 3)
Let c(x) = -x - 2. Let v be c(-2). Let d(y) be the second derivative of 1/42*y**4 + 1/21*y**3 + 2*y + v + 0*y**2. Factor d(l).
2*l*(l + 1)/7
Let h(r) be the second derivative of 17*r - 10*r**2 + 0*r**3 + 25/12*r**4 - 1/6*r**6 + 0 + 0*r**5. Suppose h(g) = 0. Calculate g.
-2, -1, 1, 2
Let j = -6959/3 + 2321. Determine r so that -j*r**2 + 20/3 + 16/3*r = 0.
-1, 5
Suppose -2*m + 0 = -4. Let -6 + 9 - m*n**2 - n**2 = 0. Calculate n.
-1, 1
What is b in 12/5 + 16/5*b**2 - 5*b - 3/5*b**3 = 0?
1, 4/3, 3
Let v(y) be the second derivative of y**6/30 - 3*y**5/20 - 7*y**4/12 + 5*y**3/2 + 9*y**2 + 16*y - 1. Find h such that v(h) = 0.
-2, -1, 3
Let p be -5*6/225*15/(-9). Let s(o) be the first derivative of p*o**3 - 4 - 3*o - 1/15*o**5 - 1/3*o**4 + 2*o**2. Factor s(a).
-(a - 1)**2*(a + 3)**2/3
Let t(o) = -6*o**4 + 80*o**3 - 210*o**2 + 143*o - 7. Let h(i) = -2*i**4 + 26*i**3 - 70*i**2 + 48*i - 2. Let k(v) = -7*h(v) + 2*t(v). Factor k(q).
2*q*(q - 5)**2*(q - 1)
Let t(b) be the third derivative of 0 + 109/30*b**5 + 3/35*b**7 + 100/3*b**3 - 13/10*b**6 + 65/3*b**4 + 4*b**2 + 0*b. Factor t(q).
2*(q - 5)**2*(3*q + 2)**2
Suppose 4*r = -0*r. Let v(g) = -12*g + 1095. Let h be v(91). Factor -85/3*y**4 - 10*y**5 + 5/3*y - 25*y**h + r - 5*y**2.
-5*y*(y + 1)**3*(6*y - 1)/3
Suppose -4*m = -m - 12. Let m*h + 6*h**3 + 8 + 16*h - 2*h**3 + 16*h**2 + 0 = 0. What is h?
-2, -1
Let l(v) = -2*v - 11. Let h be l(-8). Let o be h/(-2) + -2 + (2 - -3). Factor -1/2*g + g**3 + o*g**2 + 0.
g*(g + 1)*(2*g - 1)/2
Suppose 5*m - 25 = 5*n, 2*m - 4*n + 43 = 5*m. Factor 2*c**4 + 51*c**3 - 13*c**4 - 7*c**4 - 45*c**2 + 3 + m*c + 0*c**4.
-3*(c - 1)**3*(6*c + 1)
Let f(n) = n**3 - 8*n**2 + 7*n + 2. Let y be f(7). Factor 6*d**y - 3*d - d**2 + 13*d.
5*d*(d + 2)
Let k(d) be the first derivative of 4*d**3/21 - 60*d**2/7 + 900*d/7 + 182. Let k(o) = 0. What is o?
15
Let p(g) be the first derivative of -g**6/9 - 22*g**5/15 - 35*g**4/6 - 50*g**3/9 + 41. What is b in p(b) = 0?
-5, -1, 0
Let d be (-5015)/3400 - (-6)/4. Let x(f) be the third derivative of 1/200*f**6 + 0 - 6*f**2 - 1/10*f**3 + 1/100*f**5 + 0*f - d*f**4. Let x(i) = 0. Calculate i.
-1, 1
Let s = 393/34 + -120/17. Factor -s - 1/2*n**4 - 11*n**2 - 12*n - 4*n**3.
-(n + 1)**2*(n + 3)**2/2
Solve 3/2*y**2 + 1/3 - 5/6*y**3 + 1/6*y**4 - 7/6*y = 0.
1, 2
Let r be 13 - 10 - (2 + (-2)/2). Solve 5*m**2 + r*m**2 - m**2 - 4*m - 2*m**2 = 0.
0, 1
Let z(b) be the second derivative of b**5/4 + 5*b**4/2 + 25*b**3/6 + 443*b. Factor z(x).
5*x*(x + 1)*(x + 5)
Factor 54*k**3 - 54*k**3 - 3*k**4 + 78*k**3 - 75*k**2.
-3*k**2*(k - 25)*(k - 1)
Let f(y) be the third derivative of y**7/945 - 7*y**6/540 - 4*y**5/135 - 2*y**2. Factor f(x).
2*x**2*(x - 8)*(x + 1)/9
Let g be (((-192)/20)/(-8))/16. Let j(i) be the second derivative of -g*i**5 + 1/2*i**2 + 0 + 1/4*i**3 - 7*i - 1/24*i**4 - 1/60*i**6. What is z in 