 + g. Let f(p) be the first derivative of b(p). Factor f(t).
-(t - 1)*(t + 1)**3
Let o(f) be the third derivative of -f**6/1440 - f**5/120 - f**4/32 - 2*f**3/3 + 5*f**2. Let c(w) be the first derivative of o(w). Find d, given that c(d) = 0.
-3, -1
Let n be (-83)/52 + (-126)/(-72). Let 0 - n*a**2 + 2/13*a = 0. What is a?
0, 1
Let j(f) be the first derivative of -2*f + 1/66*f**4 + 1/11*f**2 - 2/33*f**3 + 1. Let l(b) be the first derivative of j(b). Factor l(y).
2*(y - 1)**2/11
Let j = -917 + 8261/9. Let z = 73/153 - -7/17. Factor -2/9*r - 4/3*r**3 + 0 - 2/9*r**5 - z*r**4 - j*r**2.
-2*r*(r + 1)**4/9
Let l(x) be the second derivative of x**6/10 + 9*x**5/10 + 5*x**4/4 + 7*x. What is v in l(v) = 0?
-5, -1, 0
Let k = -24 + 26. Let o(l) be the second derivative of -2/3*l**3 + 0 + l**k + 1/6*l**4 - 2*l. Factor o(x).
2*(x - 1)**2
Factor 0*c - 2/9*c**4 + 0*c**2 + 0*c**3 + 0.
-2*c**4/9
Let a(u) be the first derivative of -5*u**4/4 - 10*u**3/3 - 5*u**2/2 - 6. Determine h so that a(h) = 0.
-1, 0
Let r(u) be the second derivative of -4*u + 1/10*u**5 - 1/2*u**2 + 0 - 1/2*u**3 + 1/42*u**7 + 1/10*u**6 - 1/6*u**4. Factor r(x).
(x - 1)*(x + 1)**4
Let c = 2554/11 + -232. Factor -c - 10/11*b - 8/11*b**2.
-2*(b + 1)*(4*b + 1)/11
Let l(u) = -18*u**3 - 14*u**2 - 16*u - 10. Let x(n) = -6*n**3 - 5*n**2 - 5*n - 3. Let y(h) = 6*l(h) - 20*x(h). Factor y(p).
4*p*(p + 1)*(3*p + 1)
Factor -2*q**2 + 4/5*q + 8/5*q**3 + 0 - 2/5*q**4.
-2*q*(q - 2)*(q - 1)**2/5
Suppose 1 + 2 = h. Suppose -7*t + h*t = -8. Factor -1/4*f**3 + 1/4*f - 1/4 + 1/4*f**t.
-(f - 1)**2*(f + 1)/4
Suppose 0 = -5*q + 61 + 249. Find o, given that -48*o**2 + 36*o + q*o - 8 - 26*o - 19 = 0.
3/4
Let y(k) be the second derivative of k**5/2 + 2*k**4/3 + 4*k**3/15 - 6*k. Factor y(s).
2*s*(5*s + 2)**2/5
Let i(p) = -8*p**4 + 13*p**3 - 5*p**2 + 9*p. Let j(h) = -h**4 + h**3 - h**2 + h. Let y(m) = -4*i(m) + 36*j(m). What is t in y(t) = 0?
-2, 0
Let f(u) be the second derivative of 1/9*u**3 + 1/6*u**4 - 2/3*u**2 - 1/30*u**5 + 0 - 1/45*u**6 - 8*u. Solve f(w) = 0.
-2, -1, 1
Let i(b) = 4*b**2 + 2*b + 3. Let t(q) = -3*q**2 - q - 2. Let w(u) = -5*i(u) - 8*t(u). Let j be w(1). Factor -3 - 1 + n**3 - 3*n**j - n**2 + 5*n**2 + 2*n.
-2*(n - 2)*(n - 1)*(n + 1)
Factor 2/5*h**2 + 6/5 - 8/5*h.
2*(h - 3)*(h - 1)/5
Let x(c) be the first derivative of -3*c**5/20 - 11*c**4/24 - c**3/3 - 3*c**2 - 7. Let z(t) be the second derivative of x(t). Let z(w) = 0. Calculate w.
-1, -2/9
Let u = -8 - -9. Let h be u + 2/(-1*4). What is n in h*n**2 + 0*n - 1/2 = 0?
-1, 1
Let o be (-24 - -15)*1/(-3). Factor -2/11*u**o + 24/11*u**2 - 96/11*u + 128/11.
-2*(u - 4)**3/11
Let n(c) be the third derivative of -c**8/6720 - c**7/2520 + c**6/720 + c**5/120 - c**4/24 - 2*c**2. Let i(z) be the second derivative of n(z). Factor i(d).
-(d - 1)*(d + 1)**2
Let u(k) be the second derivative of -k**5/24 + 11*k**4/24 - k**3 - 5*k**2/3 + 73*k. Factor u(z).
-(z - 5)*(z - 2)*(5*z + 2)/6
Let k = -10 + 18. Let f be ((-2)/k)/(4/(-4)). Solve f + 1/2*s + 1/4*s**2 = 0.
-1
Let j(p) = p**2 - 4*p. Let w(d) = 5*d**2 - 21*d - 1. Let o(m) = 11*j(m) - 2*w(m). Let h be o(2). Factor z - z**3 + 0*z**h - 1/2 + 1/2*z**4.
(z - 1)**3*(z + 1)/2
Let s(v) be the third derivative of -v**5/20 + 3*v**4/8 - v**3 + 4*v**2. Find o such that s(o) = 0.
1, 2
Suppose 2*v + 55 = -3*v. Let s be 9/3 + v/5. What is i in -6/5*i**3 + s + 6/5*i - 2/5*i**4 - 2/5*i**2 = 0?
-2, -1, 1
Let y(b) be the first derivative of -b**7/63 - b**6/9 - b**5/10 + b**4/2 + 5*b - 3. Let j(g) be the first derivative of y(g). Let j(w) = 0. What is w?
-3, 0, 1
Let x(f) be the second derivative of 3*f**5/100 + f**4/20 - f**3/5 + f. Factor x(t).
3*t*(t - 1)*(t + 2)/5
Let j(h) be the third derivative of -h**5/210 - h**4/84 + 13*h**2. Factor j(a).
-2*a*(a + 1)/7
Suppose -3*s + 5*i - 14 = 0, -4*i - 3 + 29 = 5*s. Suppose 0*q + 2*q - 23 = 5*n, 4*n + 4 = -s*q. Factor -4*m**2 + q*m**2 - 2*m**2.
-2*m**2
Let o = -2 - -4. Suppose 3*w - 2 = o*w. Factor 2 - 2*d - d**2 - 2 - d**w.
-2*d*(d + 1)
Let l be (30/(-9) + 2)*6/(-4). Suppose 0 + 0*i**l - 4/7*i**3 - 2/7*i**4 + 0*i = 0. Calculate i.
-2, 0
Let f(v) be the third derivative of -1/160*v**6 + 1/40*v**5 - 5*v**2 + 1/32*v**4 + 0*v + 0 - 1/4*v**3. Let f(a) = 0. Calculate a.
-1, 1, 2
Let b = 4 - -1. Factor 71*h**b - 98*h**5 - 9*h**4 + 3*h**4.
-3*h**4*(9*h + 2)
Let j = 6 + -3. Factor -2*s**j + 4*s**3 + 2*s - 3*s**3 + 3*s**3 + 4*s**2.
2*s*(s + 1)**2
Let x(m) = 20*m**4 - 162*m**3 + 104*m**2 - 6*m + 22. Let u(c) = -3*c**4 + 23*c**3 - 15*c**2 + c - 3. Let o(i) = -44*u(i) - 6*x(i). What is a in o(a) = 0?
0, 1/3, 1, 2
Suppose -3*z + 8*z - n + 42 = 0, -2*z + 2*n - 20 = 0. Let f = z - -11. Factor 20*r - 4*r - 50*r**f - 10*r**2 + 16*r - 8.
-2*(r + 1)*(5*r - 2)**2
Let t(j) be the third derivative of 0 + 1/30*j**6 + 1/15*j**5 - 2/105*j**7 + 0*j - 1/6*j**4 + 0*j**3 + 6*j**2. Find a, given that t(a) = 0.
-1, 0, 1
Let y = -4 - -6. Factor -y + 4 + 2*g**2 - 4.
2*(g - 1)*(g + 1)
Let a be -4 + (1 - (-1 - 2)). Let j(q) be the first derivative of 0*q**2 + 2/15*q**5 - 2 + a*q + 0*q**3 - 1/6*q**4. Determine k, given that j(k) = 0.
0, 1
Suppose u + 0 = 4. Solve -3*b**u + 0*b**4 + b**4 + b - 2*b + b**5 + 2*b**2 = 0 for b.
-1, 0, 1
Let j = 23 + -23. Let m(h) be the first derivative of 2/9*h**3 + j*h + 2 - 2/3*h**2. Suppose m(f) = 0. What is f?
0, 2
Let m = 3095/11 - 281. Factor -2/11*k**4 + 2/11 + 4/11*k - m*k**3 + 0*k**2.
-2*(k - 1)*(k + 1)**3/11
Suppose 0*w**3 - 3*w**4 + 3*w**2 - 3/2*w**5 + 3/2*w + 0 = 0. What is w?
-1, 0, 1
Let f(m) be the second derivative of -3*m**5/140 - m**4/84 + 4*m**3/21 - 2*m**2/7 - 6*m. What is b in f(b) = 0?
-2, 2/3, 1
Find a such that -8/3*a**2 + 0 + 0*a - 2/3*a**3 = 0.
-4, 0
Let x be (-52)/(-6) - (-4)/(-6). Let u be 2/((0 + x)/4). Factor 1/2*v - u + 1/2*v**2.
(v - 1)*(v + 2)/2
Let z = -1/346 + 699/2422. Let 54/7*q + z*q**3 + 18/7*q**2 + 54/7 = 0. What is q?
-3
Factor -q**2 - 2 + 0 + 8*q - 3 - 2.
-(q - 7)*(q - 1)
Let x(o) be the third derivative of o**8/1848 - o**7/165 + o**6/44 - 3*o**5/110 + 37*o**2. Factor x(i).
2*i**2*(i - 3)**2*(i - 1)/11
Let f(b) be the third derivative of b**5/2 + 25*b**4/24 + 5*b**3/6 + 15*b**2. Factor f(w).
5*(2*w + 1)*(3*w + 1)
Let n(b) be the first derivative of 0*b + 1/4*b**4 + 1/6*b**6 - b**3 + 1 - b**2 + 3/5*b**5. Suppose n(m) = 0. Calculate m.
-2, -1, 0, 1
Determine o so that 0 - 8/7*o**3 + 4/7*o - 2/7*o**2 + 6/7*o**4 = 0.
-2/3, 0, 1
Let w be 2*3 + (-759)/115 + 1. Let 7/5*g**2 + w*g - 9/5*g**3 + 0 = 0. What is g?
-2/9, 0, 1
Determine b, given that b**4 + 1/3*b**5 + 1/3*b**2 + b**3 + 0 + 0*b = 0.
-1, 0
Factor -6/7*l**2 + 6/7 - 2/7*l + 2/7*l**3.
2*(l - 3)*(l - 1)*(l + 1)/7
Let d = -17 - -19. Let -4*c - 17*c - 7*c + 0 - 8 - 20*c**d = 0. What is c?
-1, -2/5
Let u be (-2 - 0)*-1*3. Let t = u - 3. Factor 1 - t - 2*l + l**2 + 3.
(l - 1)**2
Let q(w) be the first derivative of 2*w**6/105 + 13*w**5/70 + 4*w**4/7 + 3*w**3/7 + 6*w + 3. Let s(c) be the first derivative of q(c). Let s(d) = 0. What is d?
-3, -1/2, 0
Let o = 2/53 - -49/106. Factor -1/4*t - o*t**2 + 0 - 1/4*t**3.
-t*(t + 1)**2/4
Let r(k) be the first derivative of 2*k**5/5 + k**4/2 - 2*k**3 - 5*k**2 - 4*k - 18. Solve r(o) = 0.
-1, 2
Let a(b) be the second derivative of b**5/120 - b**4/36 + b**3/36 + 28*b. Find o, given that a(o) = 0.
0, 1
Let p be 2/(-1 + -13)*(-72 - -70). Find r, given that -p*r + 0 - 2/7*r**2 = 0.
-1, 0
Let t be (3 + 0)/(3/2). Let l(v) = v**2 - 9*v + 22. Let p be l(6). Solve 0*x + 0 + 1/2*x**t - 7/4*x**p + 5/4*x**3 = 0.
-2/7, 0, 1
Let d(l) be the third derivative of l**8/26880 + l**7/5040 + l**6/2880 - l**4/24 - 4*l**2. Let m(s) be the second derivative of d(s). Factor m(q).
q*(q + 1)**2/4
Let c(i) = i**2 + 19*i + 18. Let v be c(-18). Factor 6/5*j**4 + 2/5*j**2 + 0*j - 6/5*j**3 - 2/5*j**5 + v.
-2*j**2*(j - 1)**3/5
Factor -16*c**4 + 20*c**4 - 4*c - 8*c**4 + 4*c**5 + 20*c**2 - 12*c**3 - 4*c.
4*c*(c - 1)**3*(c + 2)
Suppose 2*m + 3*m = 0. Let u be 6/1 - (1 + 2). Suppose m + 3 - k + 9*k**2 - 3*k**u - 8*k = 0. What is k?
1
Let t(q) be the third derivative of q**8/672 - q**7/105 + q**6/48 - q**5/60 + 2*q**2. Solve t(x) = 0.
0, 1, 2
Let w = 5042/21 + -240. Let z(k) be the first derivative of 0*k - 16/35*k**5 + 0*k**2 + 1/2*k**4 - w*k**3 - 2 - 16/21*k**6. Factor z(o).
-2*o**2*(o + 1)*(4*o - 1)**2/7
Let x(t) 