 3/8*k**4. Factor q(f).
-f*(9*f + 2)/2
Let s = -52 + 52. Factor -2/9*y**3 + 0*y - 2/9*y**2 + s.
-2*y**2*(y + 1)/9
Let y(p) = -2*p + 1. Let b be y(-2). Suppose -8 = -b*o + 6*d - 4*d, 0 = 3*d - 3. Suppose -o*s**2 + 4*s**2 - 2*s**4 + 0*s**2 - s**5 + s = 0. Calculate s.
-1, 0, 1
Let k(d) be the first derivative of -d**7/840 - d**6/60 - d**5/10 - d**4/3 - 5*d**3/3 - 4. Let z(w) be the third derivative of k(w). Factor z(c).
-(c + 2)**3
Let a(h) be the first derivative of 9*h**5/20 - 3*h**4/4 + h**3/3 - 5. Factor a(w).
w**2*(3*w - 2)**2/4
Suppose -4 + 18 = 7*z. Solve 1/4*d**z + 0 + 0*d + 1/4*d**4 - 1/2*d**3 = 0.
0, 1
Factor 2/7*u + 0 + 2/7*u**2.
2*u*(u + 1)/7
Let n(w) be the first derivative of -3/2*w**3 - 3/10*w**5 + 3/4*w**2 + 0*w + 9/8*w**4 + 2. Factor n(m).
-3*m*(m - 1)**3/2
Let y = 19 - 17. Factor 3/2*r**5 + r**y + 0*r + 4*r**4 + 0 + 7/2*r**3.
r**2*(r + 1)**2*(3*r + 2)/2
Factor 0 + 4/5*w**5 + 0*w + 3/5*w**4 - 1/5*w**3 + 0*w**2.
w**3*(w + 1)*(4*w - 1)/5
Let y be (2 + 4)/(9 - 6). Factor 0 + 21/2*c**3 - 24*c**y + 6*c.
3*c*(c - 2)*(7*c - 2)/2
Let t(i) = -2*i**3 + 2*i**2 + 8*i - 2. Let c be t(3). Let s be c/(-12) - 8/16. Factor -1/3*z + s - 1/3*z**2.
-(z - 1)*(z + 2)/3
Suppose 2/3 - 11/2*u**4 + 31/6*u**3 + 5/6*u**2 - 8/3*u + 3/2*u**5 = 0. What is u?
-2/3, 1/3, 1, 2
Let b(a) = -a**3 - 3*a**2 - 2*a + 2. Let y(l) = -l**3 - 3*l**2 - 2*l + 3. Let n(w) = 6*b(w) - 4*y(w). Factor n(s).
-2*s*(s + 1)*(s + 2)
Find v such that -2/3*v**2 + 14/9*v**3 - 2/3*v**4 + 4/9 - 2/3*v = 0.
-2/3, 1
Let n be 5 + 1*(1 + -3). Let y(k) be the second derivative of -8/3*k**n - 7/12*k**6 - 29/8*k**4 - 2*k - k**2 - 47/20*k**5 + 0. Suppose y(w) = 0. What is w?
-1, -2/5, -2/7
Let o be 76/(-30) + 4 + (-5)/(-25). Factor 0 - 2*q - o*q**4 - 7/3*q**2 + 6*q**3.
-q*(q - 3)*(q - 1)*(5*q + 2)/3
Let k(p) be the third derivative of 4*p**7/105 + p**6/12 + p**5/30 + 8*p**2. Find t, given that k(t) = 0.
-1, -1/4, 0
Factor 10 + 28*p + 14 + 19*p**2 - 15*p**2.
4*(p + 1)*(p + 6)
Let v(q) be the third derivative of q**5/240 - q**4/96 - q**3/12 + 3*q**2. Let v(a) = 0. What is a?
-1, 2
Suppose 4*y + 8 = 4*r, 5*r + 0*r - 18 = y. Suppose -3*f + 1 = -5. Factor 0*i + 6*i**y - f*i + 0*i**2 - 2*i.
2*i*(3*i - 2)
Let i(w) = w**2 - 4*w - 8. Let j be i(6). Suppose v - h - 6 = 0, -h + 7 = -j*v + 19. Factor -2*u**3 + 0*u + u**v - 3*u + 5*u - u**4.
-u*(u - 1)*(u + 1)*(u + 2)
Suppose i - 8 = -5*d, -11*i + 13*i + 6 = d. Let -t - 1 - 1/4*t**d = 0. Calculate t.
-2
Find p, given that -5*p**3 - 44*p**2 - 113 - 81*p**3 - 4*p**5 + 193 - 36*p**4 - 6*p**3 + 96*p = 0.
-5, -2, -1, 1
Suppose 0 = 2*f - 2 - 2. Solve -3*m**4 - 91*m + 308*m**3 + 267*m + 20*m**5 - 344*m**f - 32 - 125*m**4 = 0 for m.
2/5, 1, 2
Suppose -4*f - 9*f + 26 = 0. Suppose r - 2/3 - 1/3*r**f = 0. Calculate r.
1, 2
Let o(j) = -3*j**3 + j**2 + j + 1. Let r be o(-1). Solve 0*c**3 - c**3 - c**r - 2*c + c**2 + 3*c = 0.
-1, 0, 1
Factor 363/4*m - 693/2*m**2 + 0 + 3*m**5 + 1191/4*m**3 + 63*m**4.
3*m*(m + 11)**2*(2*m - 1)**2/4
Factor 0*u**2 + 2/3*u - 1/3*u**4 - 2/3*u**3 + 1/3.
-(u - 1)*(u + 1)**3/3
Let g(u) be the third derivative of 2*u**7/105 + u**6/20 + u**5/30 + 20*u**2. Factor g(l).
2*l**2*(l + 1)*(2*l + 1)
Let n = -15 + 18. Let m(q) be the second derivative of 25/36*q**4 + q**n + 2/3*q**2 + 0 + 2*q + 1/36*q**6 + 9/40*q**5. Solve m(y) = 0.
-2, -1, -2/5
Let u be 4 + 1 - (-21)/(-5). Determine k, given that 0*k + 0 + 0*k**2 + 8/5*k**4 - 4/5*k**5 - u*k**3 = 0.
0, 1
Let x(g) be the second derivative of 0*g**2 - 1/14*g**4 - 5*g + 1/105*g**6 - 2/21*g**3 + 0*g**5 + 0. Factor x(j).
2*j*(j - 2)*(j + 1)**2/7
Let m = -361 - -1099/3. Factor m - 8/3*s**2 - 7/3*s**4 - 16/3*s**3 - 1/3*s**5 + 16/3*s.
-(s - 1)*(s + 2)**4/3
Let t(f) be the first derivative of -f**6/8 - 3*f**5/20 + 9*f**4/16 + f**3/4 - 3*f**2/4 + 12. Find u, given that t(u) = 0.
-2, -1, 0, 1
Factor -1/6*q**4 + 0*q**3 + 0*q + 1/6*q**2 + 0.
-q**2*(q - 1)*(q + 1)/6
Suppose 5*o = -2*f + 7*f, 10 = -5*o - 5*f. Let p be (0*o/2)/3. Let 0 + 2/9*r**2 - 2/9*r**4 + 4/9*r**3 - 4/9*r**5 + p*r = 0. What is r?
-1, -1/2, 0, 1
Let f(j) be the second derivative of 2*j**7/21 - 4*j**6/15 + j**5/5 + 6*j. Factor f(l).
4*l**3*(l - 1)**2
Let m(z) be the first derivative of -z**7/945 + z**6/540 + z**5/270 - z**4/108 - z**2/2 - 3. Let n(g) be the second derivative of m(g). What is u in n(u) = 0?
-1, 0, 1
Let z(u) be the third derivative of 1/2352*u**8 + 2/735*u**7 + 0*u - 5*u**2 + 1/210*u**5 + 0*u**4 + 0*u**3 + 1/168*u**6 + 0. Factor z(f).
f**2*(f + 1)**2*(f + 2)/7
Let o(b) = 5*b - 1. Let d be o(1). Suppose 3*r - 6 - 3 = 0. Let -3*s**r - s**5 + 2*s**3 - s**2 - 3*s**d - 2*s**3 + 0*s**4 = 0. What is s?
-1, 0
Factor 54*i**2 - 57*i - 5*i - 8 - 166*i**2 + 32*i**3.
2*(i - 4)*(4*i + 1)**2
Let h be ((-1)/9)/(2/(-3)). Let m(t) be the third derivative of -h*t**3 - 1/16*t**4 + 0*t - t**2 + 0 - 1/120*t**5. Factor m(l).
-(l + 1)*(l + 2)/2
Let z(y) be the third derivative of y**6/1020 + y**5/510 - y**4/204 - y**3/51 - 4*y**2 + 6*y. Determine i so that z(i) = 0.
-1, 1
Let t = -3/230 - -151/2760. Let h(i) be the second derivative of 1/6*i**3 + 0 - 1/4*i**2 - t*i**4 + i. Determine k, given that h(k) = 0.
1
Let i(x) = 6*x**4 + 9*x**3 - 8*x**2 - 4*x + 2. Let r = 6 - 7. Let m(o) = o**2 - o - 1. Let l(v) = r*i(v) - 5*m(v). Find k, given that l(k) = 0.
-1, -1/2, 1
Let h = -47 - -51. What is r in 2/7*r**h - 2/7*r**2 + 2/7*r + 0 - 2/7*r**3 = 0?
-1, 0, 1
Let p(c) = -2*c**3 + c**2 + c. Let d be p(-1). Let t be -3*(-3)/(18/8). Factor 0*o**3 + t*o**2 - 3*o**d - o**3.
-o**2*(o - 1)
Let m(n) be the second derivative of n**7/945 - n**6/1620 + n**3/3 + 3*n. Let j(v) be the second derivative of m(v). Factor j(x).
2*x**2*(4*x - 1)/9
Let n(y) be the third derivative of -y**6/40 - y**5/10 + y**4/8 + y**3 - 5*y**2. Determine m so that n(m) = 0.
-2, -1, 1
Let u(p) be the second derivative of -p**8/210 + p**7/35 - p**6/25 - 2*p**5/75 + 5*p**2/2 - 8*p. Let w(g) be the first derivative of u(g). Solve w(k) = 0.
-1/4, 0, 2
Suppose -2*y + 34 = 4*j, -21 = -6*j + 5*j - 3*y. Factor -6*z + j + 3/2*z**2.
3*(z - 2)**2/2
Let k = -26 - -26. Factor -1/5*x**2 + k*x + 2/5*x**3 - 1/5*x**4 + 0.
-x**2*(x - 1)**2/5
Let g(l) be the first derivative of 4 + 1/6*l**3 + 1/3*l**2 + 1/36*l**4 - l. Let v(m) be the first derivative of g(m). Determine a, given that v(a) = 0.
-2, -1
Let f(l) be the second derivative of l**4/21 + 8*l**3/21 + 8*l**2/7 + 16*l + 1. Factor f(a).
4*(a + 2)**2/7
Let b be (1 - 1)/(9 + (-49)/7). Let y(z) be the second derivative of -1/105*z**7 + 0*z**3 - 3/50*z**5 + 0*z**2 - 1/25*z**6 - 1/30*z**4 + b - z. Factor y(w).
-2*w**2*(w + 1)**3/5
Let y = 7 + -2. Determine s so that -3*s**5 + 5*s**y + 6*s**3 + 6*s**4 - 6*s**2 + 8*s**2 = 0.
-1, 0
Let l = -88 + -43. Let b = l + 657/5. Find p, given that -8/5*p + b*p**2 + 8/5 = 0.
2
Let p(v) = 3*v**3 - v**2 + 2*v - 1. Let m be p(2). Let o = -21 + m. What is g in -1/2*g**o + 1/2*g**3 + 0*g + 0 = 0?
0, 1
Let p(a) be the second derivative of 4*a + 0 + 0*a**2 + 1/90*a**5 - 1/27*a**3 - 1/54*a**4 + 1/135*a**6. Factor p(q).
2*q*(q - 1)*(q + 1)**2/9
Let c(w) be the second derivative of 0 + 1/2*w**2 - 1/24*w**4 + 2*w + 1/12*w**3. Factor c(x).
-(x - 2)*(x + 1)/2
Suppose 27*j - 23*j + 4 = 0. Let r be 1*j + (-110)/(-70). Determine z so that -4/7*z**4 + r*z**2 - 2/7*z + 0*z**3 + 0 + 2/7*z**5 = 0.
-1, 0, 1
Factor 68/5*z - 16/5 - 16/5*z**2.
-4*(z - 4)*(4*z - 1)/5
Suppose m + 0 - 6 = 0. Find d, given that -3*d + 3*d**3 - 10*d**2 + 18*d - m - 2*d**2 = 0.
1, 2
Suppose -4*z + 60 = -0*z. Let q = -7 + z. Find k, given that -q*k**2 + 5 - 3 + 3*k**2 + 6*k - 3*k**2 = 0.
-1/4, 1
Let o be (-2)/(-4)*8/3. Let y = -10 - -14. Factor 0 + o*b**3 + 0*b - b**y - 1/3*b**2.
-b**2*(b - 1)*(3*b - 1)/3
Let n(f) be the third derivative of 2*f**7/105 + f**6/10 + f**5/15 - f**4/2 - 4*f**3/3 + 7*f**2. Determine c, given that n(c) = 0.
-2, -1, 1
Let x be (-6)/((-6 + 4)*1). Determine i so that -18/7*i**2 + 12/7*i - 2/7 + 8/7*i**x = 0.
1/4, 1
Let p be 12/(-42) - 15/(-28). Factor p*n**2 + 0 + 0*n.
n**2/4
Factor 4/5*o**3 + 0*o**2 - 4/5*o - 2/5 + 2/5*o**4.
2*(o - 1)*(o + 1)**3/5
Let x(y) be the second derivative of y**7/18 - y**6/18 - y**5/30 - 3*y. Let x(g) = 0. What is g?
-2/7, 0, 1
Let o be (6/3 - 2)/1. Let h be (o/(3/(-1)))/(-1). Factor 0 + h*t - 2/5*t**2.
-2*t**2/5
Let y be 0/(4/(-1) + 2). 