the first derivative of 0*o**4 + 1/35*o**7 + 2 - o**2 + 0*o + 0*o**5 + 1/60*o**6 + 0*o**3. Let k(t) be the second derivative of q(t). Factor k(y).
2*y**3*(3*y + 1)
Let t(j) be the first derivative of -j**7/735 + j**6/105 - j**5/35 + j**4/21 - j**3/21 + 3*j**2/2 + 4. Let c(u) be the second derivative of t(u). Factor c(h).
-2*(h - 1)**4/7
Factor 13*o**2 - 10*o**2 + 1 - 6*o - 3*o + 5.
3*(o - 2)*(o - 1)
Let v(h) = h**2 - h - 1. Let j(y) = -2*y**3 + 2*y + 4. Let b(g) = j(g) + 4*v(g). Solve b(w) = 0.
0, 1
Let p(s) be the second derivative of -s**6/20 - 3*s**5/20 + s**4/8 + s**3/2 + 4*s. Factor p(q).
-3*q*(q - 1)*(q + 1)*(q + 2)/2
Factor 75 - 2*y - 33 - 39 - y**2.
-(y - 1)*(y + 3)
Let p = 306 + -1526/5. Suppose 2*k - k = 0. Factor 3/5*w**4 - p*w**2 + 4/5*w - w**3 + k.
w*(w - 2)*(w + 1)*(3*w - 2)/5
Suppose 6 = -s + 3*s. Find m, given that -448*m**4 - 508*m**2 + 1 - 229*m - 3 + 77*m - 14 - 722*m**s - 98*m**5 = 0.
-2, -1, -2/7
What is z in 20/9*z - 20/9*z**3 - 50/9 + 16/3*z**2 + 2/9*z**4 = 0?
-1, 1, 5
Factor -3*a + 5*a**2 + 14*a**4 - 20*a**4 + 3*a**3 + a**2.
-3*a*(a - 1)*(a + 1)*(2*a - 1)
Let i be 1 - (-1 - -2)*-2. Find z, given that 2 + z - 5*z**2 + 5*z**2 + 2*z**3 - i*z - 2*z**2 = 0.
-1, 1
Let i = -82 - -13. Let r = 347/5 + i. Factor w**2 + 0 + r*w + 3/5*w**3.
w*(w + 1)*(3*w + 2)/5
Suppose h = 16 - 14. Factor 1/3*f**h + 0*f - 4/3.
(f - 2)*(f + 2)/3
Suppose 13 = 5*j - 0*j + h, -2*h - 4 = -5*j. Let l be (20/(-8))/((-1)/j). Factor 0*b**3 + l*b + 11*b**2 - 10*b**3 - 5*b**2 - b.
-2*b*(b - 1)*(5*b + 2)
Let r(h) be the second derivative of 0 - 1/4*h**5 + 0*h**2 - 1/4*h**4 + 1/3*h**3 - 4*h. Find j, given that r(j) = 0.
-1, 0, 2/5
Let n(q) be the third derivative of -2*q**6/5 - 14*q**5/5 - 25*q**4/8 - 3*q**3/2 - 26*q**2. Find m, given that n(m) = 0.
-3, -1/4
Let x = -6 + 6. Suppose 3 + x = m. Find k, given that 0 + 2 + 2*k**2 - 2*k**3 - 4 + 2*k + 0*k**m = 0.
-1, 1
Let y be 42/(-27)*24/(-208). Let o = y - -2/13. Suppose o*c**2 + 2/3*c + 1/3 = 0. Calculate c.
-1
Let s(x) be the third derivative of x**7/30 + x**6/24 - 3*x**5/20 - 5*x**4/24 + x**3/3 + 32*x**2 + 2*x. Solve s(c) = 0.
-1, 2/7, 1
Let q = -91702951/12726 - -100887/14. Let z = q + -4/101. Solve -2/9*f + z*f**3 - 4/9*f**2 + 4/9 = 0.
-1, 1, 2
Let z(v) be the second derivative of -v**5/10 + v**4/2 - 2*v**3/3 + 31*v. Factor z(s).
-2*s*(s - 2)*(s - 1)
Find b, given that 0 - 4/5*b**3 + 0*b + 2/5*b**2 + 2/5*b**4 = 0.
0, 1
Let c be (2 + 45/(-6))*-2. Suppose c*y = 6*y + 15. Determine s, given that y*s**3 - 2*s**2 + 2 - 5*s**3 - 2*s + 4*s**3 = 0.
-1, 1
Let q(n) be the second derivative of n**5/4 - 65*n**4/12 + 40*n**3 - 90*n**2 + 9*n. Factor q(s).
5*(s - 6)**2*(s - 1)
Let p(t) be the third derivative of t**8/294 - t**7/245 - 13*t**6/420 + t**5/210 + 3*t**4/28 + 2*t**3/21 - 6*t**2. Suppose p(j) = 0. Calculate j.
-1, -1/4, 1, 2
Suppose 9*a + 6*a**2 - 17*a**2 + 8*a**2 = 0. What is a?
0, 3
Let h be (44/(-70))/((-6)/33). Let l = h + -13/5. Find p, given that -2/7 - 6/7*p**2 + l*p + 2/7*p**3 = 0.
1
Let o = -1075969/2207280 - 1/27591. Let s = 27/16 + o. What is x in -s*x + 8/5*x**2 - 2/5 = 0?
-1/4, 1
Let m(y) be the first derivative of -2/15*y**3 + 0*y - 3/5*y**2 + 1 + 2/25*y**5 + 3/10*y**4. Let m(j) = 0. Calculate j.
-3, -1, 0, 1
Let y = -1 - -3. Let -3*w**3 - y*w**2 + 3*w - 5*w**2 + w**2 + 6 = 0. What is w?
-2, -1, 1
Let y(w) = -w**2 + w. Suppose 2 - 4 = -2*x. Let r(m) = -18*m**3 - 15*m**2 + 43*m - 16. Let z(g) = x*r(g) - 3*y(g). Determine d, given that z(d) = 0.
-2, 2/3
Suppose 343*v - 350*v + 21 = 0. Factor -1/8*n**v + 3/8*n**2 + 0*n + 0.
-n**2*(n - 3)/8
Suppose 31 = 5*g + 3*h - 6*h, -4*h = -2*g + 18. Suppose -l - 3*l - z = -1, -5*z = g*l - 5. Find a, given that 0*a + l*a + a**2 = 0.
0
Factor 3/8*k**5 - 15/8*k**3 - 3/8*k**2 + 3*k + 3/8*k**4 - 3/2.
3*(k - 1)**3*(k + 2)**2/8
Let f = 1375 - 147127/107. Let c = 99/428 - f. Solve 1/4*d**4 + c*d**5 + 0 - 1/4*d**2 - 1/4*d**3 + 0*d = 0 for d.
-1, 0, 1
Let p = 355 - 1759/5. Let c be (1 - 14/6)/(44/(-66)). Find h, given that -2/5*h**3 - p - 2/5*h**5 - 8/5*h**4 + 8/5*h + 4*h**c = 0.
-2, 1
Let o(k) be the third derivative of -k**7/420 - k**6/48 - k**5/30 + 17*k**2. Let o(s) = 0. Calculate s.
-4, -1, 0
Determine q, given that -97 + 178 + 6*q**2 - 89 + 2*q**3 = 0.
-2, 1
Let w(i) be the second derivative of i**5/10 - i**4/4 + i**2/2 + 10*i. What is f in w(f) = 0?
-1/2, 1
Let u(k) be the first derivative of 2 + 0*k**2 + 0*k + 1/4*k**4 + 0*k**3 + 1/5*k**5. Factor u(r).
r**3*(r + 1)
Let b(m) = 4*m**2 + 14*m - 12. Let y be (-116)/(-10) + 10/25. Let q(j) = j**2 + j - 1. Let d(o) = y*q(o) - b(o). Find s, given that d(s) = 0.
0, 1/4
Let b(j) be the third derivative of 1/112*j**8 + 0*j**3 + 3/10*j**6 + 0 + 0*j + 2/5*j**5 + 3/35*j**7 - 3*j**2 + 0*j**4. Factor b(m).
3*m**2*(m + 2)**3
Let j(k) = k**3 - k. Let o(d) = d**4 - 4*d**3 - d**2 + 4*d. Suppose 0 = -2*h - 3 + 13. Suppose h = 3*z - 10. Let i(p) = z*j(p) + o(p). Factor i(x).
x*(x - 1)*(x + 1)**2
Let q(c) be the third derivative of c**5/20 + 7*c**4/24 - c**3 - 4*c**2. Determine p so that q(p) = 0.
-3, 2/3
Let m(d) be the second derivative of 3*d**5/140 + 3*d**4/28 + 9*d. Factor m(h).
3*h**2*(h + 3)/7
Let m be (0 + -2 + 0)*-1. Suppose -5*i = -5*z - 25, 3*i + m*z + 0*z = 5. Let 18*n**3 + 3*n + i*n**5 - n**4 - 12*n**2 - 2*n**4 - 5*n**4 - 4*n**4 = 0. What is n?
0, 1
Suppose -28 = -5*z - 3. Let t(h) be the first derivative of 0*h**2 - 2/3*h**3 + 1/2*h**4 + 3 + h**6 + 2*h**z + 0*h. Find c such that t(c) = 0.
-1, 0, 1/3
Factor 0*i + 0*i**3 + 3/4*i**2 - 3/8*i**4 - 3/8.
-3*(i - 1)**2*(i + 1)**2/8
Let i(s) be the second derivative of -s**7/21 - s**6/4 - 3*s**5/10 + s**4/6 + 35*s. Factor i(k).
-k**2*(k + 2)**2*(4*k - 1)/2
Let y(w) = -2*w - 5. Let k be y(-4). Factor 3*f**3 + 6*f**5 - 9*f**k + 2*f + f - 3*f**5.
3*f*(f - 1)**2*(f + 1)**2
Let b(y) be the third derivative of -1/6*y**3 + 2/15*y**6 + 0 - y**2 + 0*y + 3/8*y**4 - 2/5*y**5. Factor b(p).
(p - 1)*(4*p - 1)**2
Let b = -5 - -6. Let n(i) = -3*i**4 - 6*i**3 + 12*i**2 - 6*i - 6. Let q(t) = t**4 - t**3 + t + 1. Let m(r) = b*n(r) + 6*q(r). Determine j so that m(j) = 0.
0, 2
Let l(j) = 2*j**3 + 9*j**2 + j - 10. Let t be l(-4). Factor 48*r + 125/2*r**5 - 70*r**3 + 64*r**t - 225/2*r**4 + 8.
(r - 2)*(r - 1)*(5*r + 2)**3/2
Let d(k) be the first derivative of 2*k**5/35 + k**4/7 - 2*k**3/7 - 8*k**2/7 - 8*k/7 + 24. Factor d(q).
2*(q - 2)*(q + 1)**2*(q + 2)/7
Let v(z) be the first derivative of 0*z - z**2 - 2/3*z**3 + 2. Factor v(m).
-2*m*(m + 1)
Let c(b) be the first derivative of b**4/12 - 2*b**3/9 - 5*b**2/6 + 2*b + 11. Determine h, given that c(h) = 0.
-2, 1, 3
Let j(s) = -s**5 + 4*s**4 + 3*s**3 + 2*s**2 - 2*s. Let y(g) = 2*g**5 - 9*g**4 - 6*g**3 - 5*g**2 + 4*g. Let f(u) = 7*j(u) + 3*y(u). Factor f(c).
-c*(c - 2)*(c - 1)*(c + 1)**2
Determine g so that 0*g - 5/2 + 5/2*g**2 = 0.
-1, 1
Suppose -2/17*g**4 + 10/17*g**3 - 4/17 - 18/17*g**2 + 14/17*g = 0. What is g?
1, 2
Let n = -4 - -6. Let -2*j + 10*j**2 - 6*j**3 + 3*j**3 - 3*j**3 - n = 0. Calculate j.
-1/3, 1
Let p = -829 + 14101/17. Let y = 41/51 - p. Factor 0*o - y*o**2 + 0.
-o**2/3
Let w(z) = -10*z**3 - 17*z**2 + 77*z - 37. Let s(f) = 5*f**3 + 9*f**2 - 39*f + 19. Let m(a) = 13*s(a) + 6*w(a). Factor m(d).
5*(d - 1)**2*(d + 5)
Suppose -4*i = -3*k - 7*i - 3, 5*k = -4*i - 3. Let n = k + 1. Let p**3 - 7*p**3 + 9*p**n - 7*p**2 = 0. What is p?
0, 1/3
Let l(j) be the third derivative of j**7/420 - j**2. What is k in l(k) = 0?
0
Let n(u) be the second derivative of -2*u**5/15 - 7*u**4/12 + 2*u**3/3 - 4*u**2 - 2*u. Let c(q) be the first derivative of n(q). Factor c(r).
-2*(r + 2)*(4*r - 1)
Let d(x) be the second derivative of x**4/72 + x**3/12 + x**2/6 + 8*x. Factor d(y).
(y + 1)*(y + 2)/6
Factor 16/5*m + 8/5*m**2 - 16/5*m**3 - 1/5*m**5 - 16/5 + 7/5*m**4.
-(m - 2)**4*(m + 1)/5
Let -2*u - 3 - 1/3*u**2 = 0. Calculate u.
-3
Suppose 3*s + 25 = 5*y - 3, 2*y = s + 11. Factor k**3 - k - k**2 - y*k**4 + 2*k**4 + 4*k**4.
k*(k - 1)*(k + 1)**2
Let 3/2*x**2 + 0 - 1/2*x**3 - x = 0. Calculate x.
0, 1, 2
Let z(s) be the first derivative of -686*s**6/3 + 588*s**5 + 112*s**4 - 1376*s**3/3 - 288*s**2 - 64*s - 7. Determine c so that z(c) = 0.
-2/7, 1, 2
Let f(m) be the second derivative of -m**5/20 - 3*m**4/4 + 3*m**2 - m. Let u be f(-9). Solve 2*t - u*t - 1 + 2*t**2 + 3 = 0 for 