g**3 - 4*g**2 - 1/504*g**8 + 2/45*g**5 - 1/36*g**4 + 0*g - 1/30*g**6 + 4/315*g**7. Factor v(w).
-2*w*(w - 1)**4/3
Let p(g) be the second derivative of 0*g**3 + 1/7*g**7 + 2*g + 0*g**2 + 7/15*g**6 + 0*g**5 - 2/3*g**4 + 0. What is u in p(u) = 0?
-2, -1, 0, 2/3
Let f(s) = -2*s**3 + 2*s**2 - s - 5. Let h(n) = 2*n**3 - 2*n**2 + 2*n + 6. Let c = -2 + -2. Let d(g) = c*f(g) - 3*h(g). Factor d(u).
2*(u - 1)**2*(u + 1)
Let m(i) be the second derivative of -i**4/21 + 6*i. Let m(y) = 0. What is y?
0
Suppose -4*y = 3*a + 10, -5*y + 0*a - 14 = 3*a. Let z = y - -4. Factor -1/6 + 1/6*i**2 + z*i.
(i - 1)*(i + 1)/6
Let n(i) be the third derivative of -i**8/1848 + i**6/660 - 3*i**2. Find b such that n(b) = 0.
-1, 0, 1
Let i(j) be the second derivative of 10/21*j**7 - 3*j - 16/3*j**3 - 20/3*j**4 + 0 + 0*j**2 + 34/15*j**6 + 6/5*j**5. Determine p so that i(p) = 0.
-2, -2/5, 0, 1
Let j(f) be the second derivative of 0 - f - 1/48*f**4 + 0*f**3 - 1/120*f**5 - 1/2*f**2. Let o(b) be the first derivative of j(b). Let o(l) = 0. What is l?
-1, 0
Let b(q) be the third derivative of 0*q**4 - 1/630*q**7 + 1/180*q**5 + 0*q**3 - 1/360*q**6 + 0 - q**2 + 0*q + 1/1008*q**8. Solve b(p) = 0.
-1, 0, 1
Let a be (-2 - 1) + 0 + 8. Factor 5*f**2 - 6*f**2 - a*f**3 + 8*f**3 + 4*f**2.
3*f**2*(f + 1)
Let s = 1 - -2. Let c(v) = v**3 - 4*v**2 + 5*v - 4. Let g be c(s). Factor -f**5 - 4*f**g + 3*f**5 + 2*f**2 + 2*f**4 - 2*f**3.
2*f**2*(f - 1)*(f + 1)**2
Let a(p) be the second derivative of -p**4/32 + p**3/8 + 9*p**2/16 + 11*p. Factor a(i).
-3*(i - 3)*(i + 1)/8
Let l be ((-4)/10)/(2/20). Let o be (1*-2 + 1)*l. Find w such that -1 + 40*w**3 - 3*w**4 - 33*w**2 - 8*w**4 - 5*w**o + 0*w**4 + 10*w = 0.
1/4, 1
Let -28*l**2 - 5*l + 18*l**2 - 15*l**2 - 40*l**3 - 20*l**4 = 0. What is l?
-1, -1/2, 0
Let a = -39 + 41. Factor -2/11*h + 4/11*h**a + 0 - 2/11*h**3.
-2*h*(h - 1)**2/11
Let g(x) = -x**4 + x**3 - x**2 - x. Let a(i) = -2*i**4 + 2*i**3 - 4*i**2 - 2*i. Let f = -1 + 4. Let k(t) = f*g(t) - a(t). Solve k(h) = 0.
-1, 0, 1
Let v be (-12)/(-4)*(202/66 + -3). Factor -2/11 - v*d**2 - 4/11*d.
-2*(d + 1)**2/11
Let p(k) be the first derivative of k**6/9 + 2*k**5/15 - k**4/6 - 2*k**3/9 - 11. Factor p(f).
2*f**2*(f - 1)*(f + 1)**2/3
Suppose -31 + 21 = 5*t. Let z be t/(-24) + (-4)/(-24). Let -1/2*n**2 + z*n + 0 = 0. Calculate n.
0, 1/2
Let 0*b**3 + 3/2*b**4 + 0*b + 3/2 - 3*b**2 = 0. What is b?
-1, 1
Let c(a) be the second derivative of -a**5/5 - a**4/3 + 8*a**3/3 + 8*a**2 + 10*a. Factor c(h).
-4*(h - 2)*(h + 1)*(h + 2)
Let y(b) be the second derivative of 1/27*b**3 + 0*b**4 + 4*b + 0 + 0*b**2 - 1/90*b**5. Factor y(c).
-2*c*(c - 1)*(c + 1)/9
Let t(b) = 6*b**3 + 2*b**2 - 6*b - 6. Let x(q) be the third derivative of -q**7/210 - q**3/6 + q**2. Let z(d) = 2*t(d) - 4*x(d). Factor z(o).
4*(o - 1)*(o + 1)**2*(o + 2)
Let i be 4/264 - ((-11)/(-6) - 2). Factor -2/11*r**2 - i*r**3 + 0*r + 0.
-2*r**2*(r + 1)/11
Let f(x) be the second derivative of -x + 0*x**3 + 0*x**2 - 1/30*x**5 - 1/45*x**6 + 0*x**4 + 0. Factor f(d).
-2*d**3*(d + 1)/3
Let m(x) be the third derivative of x**8/1680 - x**7/1050 - x**6/600 + x**5/300 - 6*x**2. Factor m(j).
j**2*(j - 1)**2*(j + 1)/5
Let y = 1109/4305 - 9/41. Let q(x) be the second derivative of -y*x**6 + 1/14*x**4 - 5/21*x**3 + 0 - 3*x + 1/7*x**2 + 1/14*x**5. Let q(i) = 0. What is i?
-1, 1/4, 1
Let n = -87 + 90. Factor -3/2*h**2 - 2 + 1/4*h**n + 3*h.
(h - 2)**3/4
Let b(h) = -h**3 - 7*h**2 + 10*h + 6. Let i be b(-7). Let r be 1*-2 + i/(-28). Factor r*n**2 - 2/7*n - 4/7.
2*(n - 2)*(n + 1)/7
Let b(s) = 12*s**2 + 3*s - 4. Let r be b(3). Let z = 567/5 - r. Suppose -2/5*o**2 + 0*o + z = 0. Calculate o.
-1, 1
Let o(u) = -u - 11. Let f be o(-12). Let d be 10 + f/(-2 - -1). Factor -s + 4*s + d*s + 3*s**2 + 12.
3*(s + 2)**2
Let 0*d**2 + 0 - 1/2*d**3 + 1/4*d + 0*d**4 + 1/4*d**5 = 0. What is d?
-1, 0, 1
Suppose 2*c - 1 = 5. Suppose 2*r + 7 = g - c, 5*g + 2*r = 2. Factor -g - 3*z - 3*z + 3*z**3 - 5*z**3 - 6*z**2.
-2*(z + 1)**3
Suppose w + 25 = 4*s, -2*s - 1 = -2*w - 9. Let v = s - 4. Factor 0 - 2/7*p + 2/7*p**v + 0*p**2.
2*p*(p - 1)*(p + 1)/7
Let c(x) be the third derivative of x**5/330 + x**4/44 - 10*x**2. Factor c(a).
2*a*(a + 3)/11
Suppose 5*r = 14 + 1. Factor -28 + 11*n - r*n**2 + 11 + 7*n - 10.
-3*(n - 3)**2
Let u(z) be the second derivative of -225*z**5/4 + 25*z**4/2 - 5*z**3/6 - 31*z. Factor u(c).
-5*c*(15*c - 1)**2
Let v(h) = h**2 - 11*h + 12. Let c be v(10). Factor -q - 3*q + 6*q - q**c.
-q*(q - 2)
Let r(k) be the third derivative of -k**8/1008 - 2*k**7/315 - k**6/72 - k**5/90 + 14*k**2. Determine n, given that r(n) = 0.
-2, -1, 0
Let u be (-48)/(-54)*1/2. Find t, given that u*t**2 + 0*t + 0 - 2/9*t**3 = 0.
0, 2
Let x be ((-3)/9)/((-2)/12). Let u(i) = -5*i**2 - 9*i + 2. Let m be u(-2). Factor 0 + 2/7*t**3 + 0*t + m*t**x.
2*t**3/7
Let v(n) = -n**2 - 4*n + 7. Let m be v(-5). Let q be m - (0/(-2))/(-2). Suppose h - 3*h**3 - q*h**3 + h**4 + 4*h**3 - h**2 = 0. Calculate h.
-1, 0, 1
Suppose 2*p = 6 + 2. Factor 7*k**4 + p*k**3 - 6*k**4 + k**2 + 5*k**2 + 4*k + 1.
(k + 1)**4
Let x = -51197/51 - -6025/6. Let r = x - -1/34. Determine t so that 2/3*t + 0 + r*t**2 = 0.
-2, 0
Let m(p) be the second derivative of p**9/7560 - p**8/840 + p**7/210 - p**6/90 + p**5/60 + p**4/4 - p. Let n(y) be the third derivative of m(y). Factor n(b).
2*(b - 1)**4
Let x(n) be the third derivative of n**6/540 + n**5/90 - n**4/108 - n**3/9 + 10*n**2. Find i such that x(i) = 0.
-3, -1, 1
Let q(l) = 3*l**2 + 16*l + 6. Let p(i) = i**2 + 5*i + 2. Let k = 28 + -21. Suppose 5*j - 5*w = -15, w = -j + 5*w - 6. Let z(h) = j*q(h) + k*p(h). Factor z(y).
(y + 1)*(y + 2)
Factor 0*o**2 + 0 + 2/9*o - 2/9*o**3.
-2*o*(o - 1)*(o + 1)/9
Let b(f) be the second derivative of -3*f**5/20 - f**4/2 + 5*f**3/2 + 9*f**2 + 13*f. Factor b(l).
-3*(l - 2)*(l + 1)*(l + 3)
Let n(k) be the first derivative of -k**3 + 3*k - 1. What is s in n(s) = 0?
-1, 1
Let p be (-2)/(-27) + (-2472)/(-1620). Factor p*a - 4/5*a**2 + 0.
-4*a*(a - 2)/5
Let m(c) be the first derivative of 8*c**5/45 - c**4/6 - 2*c**3/27 + 35. Suppose m(f) = 0. What is f?
-1/4, 0, 1
Let y(a) be the third derivative of -a**6/1800 + a**4/120 + a**3 - 3*a**2. Let w(v) be the first derivative of y(v). Suppose w(z) = 0. What is z?
-1, 1
Let t = -1005 + 1007. Factor -2/3*p**5 - 4/3*p**4 + 0 + 0*p**3 + 4/3*p**t + 2/3*p.
-2*p*(p - 1)*(p + 1)**3/3
Let v = 65 + -23. Let q be ((-12)/v)/((-2)/4). What is p in -2/7*p - 2/7*p**5 - 2/7*p**4 + 4/7*p**3 + q*p**2 - 2/7 = 0?
-1, 1
Let b = 13 + -13. Let n(d) be the first derivative of -3 - 7/9*d**3 + b*d - 1/3*d**2 + 7/15*d**5 + 1/6*d**4. Find c, given that n(c) = 0.
-1, -2/7, 0, 1
Let j be (-4 - -2)*(-4)/(-24)*-3. Let w(h) be the third derivative of -h**4/24 - h**2. Let s(i) = -i**3 - 2*i**2 + 2. Let v(p) = j*w(p) - s(p). Factor v(t).
(t - 1)*(t + 1)*(t + 2)
Let z be ((13 + -1)/(-3))/(-2). Suppose w = z*w - 2. Find o, given that 0*o**w - 9/2*o + 3 + 3/2*o**3 = 0.
-2, 1
Suppose -2*z + 8 = m - 3*m, 2*z - 14 = -4*m. Let n(s) be the first derivative of 0*s + 1/2*s**4 + 0*s**2 - 1 - 1/3*s**3 - 1/5*s**z. Find d, given that n(d) = 0.
0, 1
Let l(v) = v + 1. Let q be l(1). Let s = q - -1. Determine f, given that 0 + 0*f**s - 2/3*f**4 + 0*f + 2/3*f**2 = 0.
-1, 0, 1
Let c(b) be the second derivative of 0*b**2 + 1/80*b**5 + b + 0 - 1/120*b**6 + 1/48*b**4 - 1/24*b**3. Find m such that c(m) = 0.
-1, 0, 1
Let n(q) be the second derivative of -q**7/1470 - q**6/630 + q**5/210 + q**4/42 - q**3/6 - 5*q. Let m(t) be the second derivative of n(t). Factor m(w).
-4*(w - 1)*(w + 1)**2/7
Suppose 0 = -l - 2*l + 12. Let r(f) be the second derivative of -1/6*f**l - f**3 + 0 - 2*f**2 - f. Suppose r(d) = 0. Calculate d.
-2, -1
Let x = 3 - -9. Solve x*v**2 + 5*v**5 - 6*v**4 - 2*v**2 - 9*v + 4*v**3 + 2 - 6*v**4 = 0.
-1, 2/5, 1
Suppose -3*k - 8 - 40 = 0. Let b = k + 21. Solve -x**4 - 5/2*x + 2*x**2 + 5*x**3 - 1 - 5/2*x**b = 0 for x.
-1, -2/5, 1
Let -4/7*t - 2/7*t**2 + 0 + 2/7*t**4 + 4/7*t**3 = 0. What is t?
-2, -1, 0, 1
Let m(p) be the second derivative of 2*p**7/21 + 8*p**6/15 + p**5 + 2*p**4/3 + 24*p. Factor m(o).
4*o**2*(o + 1)**2*(o + 2)
Let f(r) be the second derivative of 7*r**5/100 - r**4/12 - 8*r**3/15 - 2*r**2/5 - 28*r. Determine m, given that f(m) = 0.
-1, -2/7, 2
Let z(c) be the third derivative 