ve of 3/10*g**5 + 1/3*g**3 + v + 0*g**2 + 3*g - 1/15*g**6 - 1/2*g**4. Solve r(k) = 0.
0, 1
Let y(l) be the second derivative of 1/10*l**5 + 5/3*l**3 + 2/3*l**4 - l + 2*l**2 + 0. Factor y(k).
2*(k + 1)**2*(k + 2)
Let l(b) = 5*b**4 - 15*b**3 + 10*b**2 + 25*b. Let c(v) = -v. Let i(k) = 25*c(k) + l(k). Suppose i(u) = 0. What is u?
0, 1, 2
Let t(i) be the first derivative of -i**5/5 + i**4/2 - i**3/3 - 2. Factor t(k).
-k**2*(k - 1)**2
Suppose -8*z - 2/5*z**2 - 40 = 0. Calculate z.
-10
Let c be (-1 + 0)/1 + (-45)/(-9). Determine t so that -3/2*t**3 + 0 + 3/2*t**2 + 1/2*t**c - 1/2*t = 0.
0, 1
Let o(z) be the third derivative of -2*z**2 + 32/945*z**7 - 7/108*z**4 + 0*z + 8/135*z**6 + 0 - 1/27*z**3 - 1/45*z**5. Suppose o(y) = 0. Calculate y.
-1, -1/4, 1/2
Let k be 54/(-18)*2/(-3). Suppose -n - 1 = 5*o - 13, -k*n - 4 = -4*o. Determine c so that -2/3 + 5/3*c - c**o = 0.
2/3, 1
Let q(c) be the third derivative of -c**7/6300 - c**6/600 - c**5/150 - c**4/4 + 8*c**2. Let u(p) be the second derivative of q(p). Determine g so that u(g) = 0.
-2, -1
Let k(p) be the second derivative of p**5/90 + p**4/18 + p**3/9 + p**2 - 2*p. Let g(t) be the first derivative of k(t). Solve g(q) = 0.
-1
Let j be 32/(-168)*3*2/(-4). Find c, given that 0 - j*c**2 + 0*c = 0.
0
Let l = 26 - 21. Let b(h) be the second derivative of 1/21*h**3 + 0*h**2 + 2*h + 0*h**4 - 1/70*h**l + 0. Factor b(n).
-2*n*(n - 1)*(n + 1)/7
Factor -8*h**3 - 3*h**4 - 10*h + h**4 + 2*h**2 + 18*h**3.
-2*h*(h - 5)*(h - 1)*(h + 1)
Let w(b) be the second derivative of -b**4/12 - 5*b**3/6 - 9*b - 2. Let w(l) = 0. Calculate l.
-5, 0
Let o(f) = -7*f + 0*f - f - f**2 + 0*f - 5. Let q be o(-7). What is m in -m**4 + 19*m - 18*m + 3*m**3 - 3*m**q + 0*m**2 = 0?
0, 1
Suppose m - 18 = -5*m. Let p(z) be the first derivative of 0*z - 2/3*z**m + 0*z**4 + 2/3*z**2 - 3 + 2/15*z**5. Let p(r) = 0. Calculate r.
-2, 0, 1
Let x(n) be the third derivative of -n**7/560 - n**6/160 + 3*n**5/160 + n**4/16 - n**3/4 + 24*n**2. Factor x(r).
-3*(r - 1)**2*(r + 2)**2/8
Let z(l) be the third derivative of l**6/40 + l**5/5 + 5*l**4/8 + l**3 + 2*l**2 + 7. Factor z(p).
3*(p + 1)**2*(p + 2)
Let h(o) be the first derivative of -o**5/150 + o**4/60 + o**2 + 3. Let g(u) be the second derivative of h(u). Factor g(k).
-2*k*(k - 1)/5
Let y be 3/12 + 37/(-4). Let s = y + 19/2. Determine k, given that 0*k + 0 + 15/4*k**5 - 3/4*k**3 - s*k**2 + 7/2*k**4 = 0.
-1, -1/3, 0, 2/5
Let f = 16 - 27. Let i = -8 - f. Factor 0 + 0*v**2 - 1/2*v + 1/2*v**i.
v*(v - 1)*(v + 1)/2
Let o(c) be the second derivative of c**7/84 + c**6/12 + c**5/4 + 5*c**4/12 + 5*c**3/12 + c**2/4 + 26*c. Solve o(f) = 0 for f.
-1
Suppose -3*k**2 - 20 + 20 + 3*k = 0. What is k?
0, 1
Suppose 0 + 6 = -s. Let k(o) = -8*o**3 - 4*o**2 + 6*o + 6. Let p(v) = -9*v**3 - 5*v**2 + 7*v + 7. Let q(u) = s*p(u) + 7*k(u). Factor q(l).
-2*l**2*(l - 1)
Let h = 2 + 8. Suppose 0 = -2*p + 5*v - 10 + 4, v - h = -4*p. What is q in -2*q**3 - 3*q + 3*q + 2*q - p*q**4 + 2*q**2 = 0?
-1, 0, 1
Suppose -4*i + 11 = 5*l - 0*i, -2*i = -3*l + 11. Suppose -l*k - k + 8 = 0. Factor 2/5*u**k + 2/5*u + 0.
2*u*(u + 1)/5
Let w be ((-50)/375)/(2/(-5)). Let q(y) be the first derivative of 0*y + 0*y**2 - w*y**3 - 2 + 1/4*y**4. Find u such that q(u) = 0.
0, 1
Let c(t) be the first derivative of 2*t**3/45 + t**2/3 + 4*t/5 - 26. What is i in c(i) = 0?
-3, -2
Let m = -90 + 50. Let t be (-2)/(-10) + (-2)/m. What is n in 1/4*n**3 - 1/4*n + 0 - 1/4*n**4 + t*n**2 = 0?
-1, 0, 1
Let x = -6 - -8. What is n in n**2 + 2*n - n**x - n**3 + n**2 = 0?
-1, 0, 2
Let v = -14 - -16. Factor 0*l**v + l**2 - l**2 - l**3.
-l**3
Let z(y) be the second derivative of -1/5*y**2 - 1/75*y**6 + 1/30*y**3 + 8*y + 1/15*y**4 + 1/210*y**7 - 1/50*y**5 + 0. Find f such that z(f) = 0.
-1, 1, 2
Let b(x) = -x + 1. Let f = 0 - 6. Let i(o) = -o**2 + 1. Let z(m) = f*b(m) + 3*i(m). What is y in z(y) = 0?
1
Let d(f) be the second derivative of -3*f**4/4 - f**3 + 3*f**2/2 - 5*f. Factor d(k).
-3*(k + 1)*(3*k - 1)
Let m(t) = -t**3 + 10*t**2 - 12*t + 29. Let w be m(9). Factor 26/7*j**4 - 2/7*j**w + 18/7*j**3 + 0 + 10/7*j**5 - 4/7*j.
2*j*(j + 1)**3*(5*j - 2)/7
Suppose 1/2*w**4 - 3/2*w**3 + 0 + 1/2*w**5 - w - 5/2*w**2 = 0. Calculate w.
-1, 0, 2
Let v = -7 - -11. Suppose -3 = v*d - 11. Factor 7*s**4 - s**3 + 0*s**3 + 6*s**3 - d*s**2.
s**2*(s + 1)*(7*s - 2)
Factor 1/5*w**2 + 0 + 1/5*w**3 - 1/5*w**4 - 1/5*w.
-w*(w - 1)**2*(w + 1)/5
Let v = 89 - 89. Let g(b) = -b + 13. Let f be g(10). Factor 2/7*q**2 + 4/7*q**f + v + 0*q + 2/7*q**4.
2*q**2*(q + 1)**2/7
Let d(n) = -n**3 + 14*n**2 + 17*n - 28. Let i be d(15). Let t = -8 - -12. Factor 0 - 2/3*m**3 + 1/3*m**t + 1/3*m**i + 0*m.
m**2*(m - 1)**2/3
Let c = 18 - 16. Let 2/3 + 2*l - 4/3*l**c - 4*l**3 + 2/3*l**4 + 2*l**5 = 0. What is l?
-1, -1/3, 1
Let x(o) be the third derivative of o**5/20 - 3*o**4/8 + 12*o**2. Determine z, given that x(z) = 0.
0, 3
Let z be 7/1*(-2)/2. Let h be 36/21 + (-2)/z. Find i such that 2*i**2 - 6*i**3 - i**5 - 3*i**4 + 9*i**4 + i**5 - h*i**5 = 0.
0, 1
Let u(i) be the third derivative of -i**7/1260 + i**6/180 + i**4/12 - i**2. Let o(p) be the second derivative of u(p). Factor o(v).
-2*v*(v - 2)
Solve 0*i**2 + 0*i + 1/3*i**5 + i**4 + 0 + 2/3*i**3 = 0 for i.
-2, -1, 0
Let h be 1/(-5)*1*(0 - 1). Factor -h*t**3 + 2/5 + 3/5*t + 0*t**2.
-(t - 2)*(t + 1)**2/5
Let o(k) be the third derivative of k**11/33264 + k**10/22050 + k**9/52920 - k**5/30 - 2*k**2. Let i(r) be the third derivative of o(r). Solve i(y) = 0 for y.
-2/5, -2/7, 0
Factor 4/5*l**3 + 2/5*l**4 + 0 - 8/5*l**2 - 16/5*l.
2*l*(l - 2)*(l + 2)**2/5
Let y = -4 - -6. Let b(f) be the third derivative of 0 - 1/24*f**4 - 3*f**y + 0*f**3 + 0*f - 1/120*f**5. Suppose b(d) = 0. Calculate d.
-2, 0
Let n(b) be the first derivative of -b**3 - 3*b**2 + 9*b - 14. Find g such that n(g) = 0.
-3, 1
Suppose -3*j = -0 + 6. Let t(p) = 252*p**3 + 302*p**2 + 120*p + 18. Let l(x) = 1009*x**3 + 1209*x**2 + 480*x + 73. Let z(o) = j*l(o) + 9*t(o). Factor z(q).
2*(5*q + 2)**3
Let c(k) be the first derivative of k**5/15 + 4*k**4/3 + 32*k**3/3 - 3*k**2/2 - 6. Let d(u) be the second derivative of c(u). Determine b so that d(b) = 0.
-4
Let n(p) be the first derivative of 3*p**5/5 + 3*p**4/4 - 3*p**3 - 3*p**2/2 + 6*p - 17. What is u in n(u) = 0?
-2, -1, 1
Let h(w) be the first derivative of -2*w**3/21 + w**2/7 - 22. Factor h(i).
-2*i*(i - 1)/7
Suppose 0*r + 16 = r + 5*z, -r + 2*z + 2 = 0. Suppose -r - 6*o**2 + o + 3 - 10*o = 0. What is o?
-1, -1/2
Let k(l) be the second derivative of 2*l**10/945 - 2*l**9/945 + l**8/1680 + 3*l**4/4 + 8*l. Let w(z) be the third derivative of k(z). Factor w(b).
4*b**3*(4*b - 1)**2
Let j(k) be the first derivative of -2*k**6/15 + 28*k**5/25 - 16*k**4/5 + 32*k**3/15 + 32*k**2/5 - 64*k/5 - 19. Factor j(g).
-4*(g - 2)**4*(g + 1)/5
Let r be 1/(-6) + 6 + 31/(-6). Let b(v) be the first derivative of r*v**3 - 1/6*v**6 + v + 2 - 1/2*v**4 + 3/2*v**2 - 3/5*v**5. Factor b(q).
-(q - 1)*(q + 1)**4
Suppose x + x + 12 = 0. Let n(w) = -w**3 - 6*w**2 - 6*w - 1. Let q(z) = -z**2 - z. Let t(g) = x*q(g) + 2*n(g). Factor t(m).
-2*(m + 1)**3
Let r be ((-4)/(-10))/((-2)/(-10)). Suppose 4*b - 1 + 3 + 5*b**2 - b**2 - r*b**2 = 0. What is b?
-1
Let z = 130 - 129. Let -z + 7/2*v - 3/2*v**2 = 0. What is v?
1/3, 2
Factor v**2 + 1/4*v**4 + 0*v + 0 + 5/4*v**3.
v**2*(v + 1)*(v + 4)/4
Let o = 18/43 - 76/387. Find c such that -o*c**2 - 2/3*c**4 - 2/3*c**3 - 2/9*c**5 + 0*c + 0 = 0.
-1, 0
Let b(t) = -11*t**4 + 5*t**3 - 23*t - 7. Let m(y) = 5*y**4 - 3*y**3 + 11*y + 3. Let l(f) = -6*b(f) - 14*m(f). Suppose l(p) = 0. What is p?
-1, 0, 2
Let l(q) = -12*q**3 + 6*q**2 + 6*q. Let o(n) = -n - 14. Let v be o(-10). Let i(z) = -4*z**3 + 2*z**2 + 2*z. Let c(s) = v*l(s) + 11*i(s). Solve c(b) = 0 for b.
-1/2, 0, 1
Let l = 312548/1265 + -2718/11. Let r = 797/460 - l. Factor -3*a**3 + 1/2*a - 3/4*a**2 - r*a**4 + 0.
-a*(a + 1)**2*(7*a - 2)/4
Suppose 0 = -4*m - 1 + 17. Let y be 4 + (-1 - -3 - m). Let -1/3*b**y + 0 + 0*b + 1/3*b**3 = 0. Calculate b.
0, 1
Let d = 0 + 2. Let o(l) = 1 - l - d*l**2 - 3*l + 1 - l. Let g(z) = 2*z**2 + 6*z - 2. Let s(h) = -5*g(h) - 6*o(h). Factor s(j).
2*(j - 1)*(j + 1)
Suppose 5*z - 3*z = 3*x, 5*x - 3*z = 0. Let w(b) be the second derivative of x*b**5 + 0*b**3 + 1/6*b**4 - 1/15*b**6 + 0 + 2*b + 0*b**2. Fac