 u(d) be the first derivative of -12*d - 4/3*d**a + 8*d**2 - 8. Factor u(k).
-4*(k - 3)*(k - 1)
Let j(b) = b**2 + 6*b - 5. Let u(y) = -2*y**3 + 9*y**2 - 3*y - 3. Let m be u(4). Let c be j(m). Factor 2/7*a**c - 4/7 - 2/7*a.
2*(a - 2)*(a + 1)/7
Let h(l) be the third derivative of -l**9/5040 - l**8/2800 + l**7/1400 + l**6/600 - l**3 - 5*l**2. Let u(f) be the first derivative of h(f). Factor u(c).
-3*c**2*(c - 1)*(c + 1)**2/5
Let p(o) = o**2 - 9*o - 55. Let x be p(13). Let j be 6/x*(-2)/14. Suppose -j*n + 0 - 2/7*n**2 = 0. Calculate n.
-1, 0
Let x(m) = 5*m**2 - 19*m + 36. Let q(b) = 10*b**2 - 37*b + 73. Let o(i) = 6*q(i) - 13*x(i). Find n such that o(n) = 0.
2, 3
Let h = 24 - 20. Suppose h*x = 4*g, -2*x + 10 = 3*x. Factor -4*o - 3*o**2 + 6*o**g + 2 - o**2.
2*(o - 1)**2
Let f be (-36)/(-72)*1*(123 - 1). Factor 63*z**2 - f*z**2 + 7*z**3 - 3*z**3 - 12*z - 2*z**3.
2*z*(z - 2)*(z + 3)
Let x be 1/1 + 2 + -8. Let u = x + 5. Suppose 2/3*d**4 + 0*d**3 + 0*d + u*d**2 + 0 + 1/3*d**5 = 0. Calculate d.
-2, 0
Let g(f) be the second derivative of 1/6*f**4 - 2/105*f**7 - 1/50*f**6 + 4/5*f**2 + 0 + 1/4*f**5 - 6/5*f**3 - 3*f. Determine b so that g(b) = 0.
-2, 1/4, 1, 2
Let h(p) be the third derivative of 0 + 11*p**2 + 0*p**3 + 0*p + 1/15*p**4 - 1/75*p**5 - 1/150*p**6. Let h(v) = 0. Calculate v.
-2, 0, 1
Let f(p) be the first derivative of -4/5*p**4 + 28/15*p**3 - 1/60*p**6 + 8/5*p + 1 - 12/5*p**2 + 9/50*p**5. Factor f(r).
-(r - 2)**4*(r - 1)/10
Let l(a) = 12*a - 29. Let y be l(15). Let h = y - 149. Determine m so that 0 - 1/6*m**h - 2/3*m**5 + 7/6*m**4 + 0*m - 1/3*m**3 = 0.
-1/4, 0, 1
Factor 27/5 + 21/5*a**2 - 51/5*a + 3/5*a**3.
3*(a - 1)**2*(a + 9)/5
Factor -110*j**2 - 9 + 42 + 27 - 65*j.
-5*(2*j - 1)*(11*j + 12)
Suppose 2*s - 10 = -2*i, i + s = 6*s - 25. Let u(x) = x**3 + 47*x**2 + 48*x + 96. Let b be u(-46). What is z in -5*z**2 + i + b + 9*z**2 - 8*z**2 = 0?
-1, 1
Let h(r) be the first derivative of 2*r**6/3 - 4*r**5/5 - 3*r**4 + 20*r**3/3 - 4*r**2 + 21. Factor h(z).
4*z*(z - 1)**3*(z + 2)
Let a(w) be the third derivative of -w**9/20160 - w**8/3360 + w**7/560 + 7*w**5/60 - 14*w**2. Let p(d) be the third derivative of a(d). Factor p(f).
-3*f*(f - 1)*(f + 3)
Let a = 1565 + -10954/7. Determine w, given that -3/7*w**2 + 4/7*w - a*w**3 + 0 = 0.
-4, 0, 1
Let f(d) be the third derivative of -1/420*d**6 + 0 + 0*d**3 - 1/42*d**4 + 0*d + 19*d**2 - 1/70*d**5. Solve f(k) = 0.
-2, -1, 0
Let c = 713 + -710. Let r(j) be the second derivative of 7*j + 1/8*j**4 + 0*j**2 - 1/4*j**c + 3/40*j**5 + 0 - 1/20*j**6. Solve r(a) = 0 for a.
-1, 0, 1
Solve -1/2*q**4 + 9/2*q**3 - 9/2*q + 1/2*q**2 + 0 = 0.
-1, 0, 1, 9
Let z = 257 + -1793/7. Let k be (12/(-28))/(4/24) - -3. Suppose -k*y**2 + 0 - z*y = 0. Calculate y.
-2, 0
Suppose -4*s + 178 = -22. Let b = 50 - s. Factor b + 12/7*v + 3/7*v**3 + 12/7*v**2.
3*v*(v + 2)**2/7
Suppose -105 = 5*n - 4*p, 0*p + 5*p = 0. Let s = n + 37. Suppose 14 - 6 + 2*m + 10*m + 48*m**4 + s*m**3 - 33*m**5 + 5*m**5 - 56*m**2 = 0. What is m?
-1, -2/7, 1
Let v = 1323/2638 + -2/1319. Factor 0*g - v*g**2 + 2.
-(g - 2)*(g + 2)/2
Let o be (5/(-3))/(-5)*(14 + -12). Let p be (2/3)/(2/9). Determine m, given that o*m**p + 2/3*m**2 - 2/3*m - 2/3*m**4 + 0 = 0.
-1, 0, 1
Let j(n) be the third derivative of -n**6/540 + 11*n**5/135 + 23*n**4/108 + 8*n**2 + 4*n. What is t in j(t) = 0?
-1, 0, 23
Suppose -3*w - 3*h + 33 = 0, -h - 3*h - 1 = -w. Suppose 3*i = -3*k - w, -3*k = -k + 10. Factor -12*j**4 - 2*j**5 - i*j**4 - 4*j**3 - 4*j**5.
-2*j**3*(j + 2)*(3*j + 1)
Let k(n) be the first derivative of 15*n**6/8 + 543*n**5/20 - 15*n**4/16 - 205*n**3/4 - 15*n**2/4 + 18*n - 338. Find p, given that k(p) = 0.
-12, -1, -2/5, 1/3, 1
Find l such that -44*l**5 - 3*l**4 + 47*l**5 - 26*l**3 + 8*l**3 = 0.
-2, 0, 3
Factor 3*z**3 + 119*z - 10*z**4 + 2*z**3 - 99*z - 40*z**3 - 20*z**2.
-5*z*(z + 2)**2*(2*z - 1)
Let v(g) be the third derivative of 0*g**3 - 1/150*g**5 + 0*g + 0 + 9*g**2 + 0*g**4. Let v(k) = 0. Calculate k.
0
Let h(i) be the second derivative of 1/78*i**4 - 26*i + 49/13*i**2 + 14/39*i**3 + 0. Factor h(x).
2*(x + 7)**2/13
Let j = 122 - 364/3. Let o(i) be the first derivative of -j*i**5 - 20/9*i**3 - 5/3*i**4 - 5/3*i**2 + 3 - 2/3*i - 1/9*i**6. Solve o(d) = 0 for d.
-1
Let k(a) be the second derivative of 0 + 4*a**3 - 5*a - 24*a**2 - 1/4*a**4. Determine b, given that k(b) = 0.
4
Let y = -8599/5 - -1721. Find g, given that 2/5 - 2/5*g**2 + y*g**3 - 6/5*g = 0.
-1, 1/3, 1
Let m = 35 + -33. Factor 19 - 90*n**m + 55*n - 4 + 70*n**2.
-5*(n - 3)*(4*n + 1)
Suppose 3*a + a = -4. Let h(u) = -4*u**2 - 4*u + 6. Let g(c) be the second derivative of -c**4/12 - c**3/6 + 4*c. Let d(t) = a*g(t) + h(t). Solve d(p) = 0.
-2, 1
Let u(m) = -3*m**3 + 36*m**2 + 264*m + 796. Let r(k) = -2*k**3 + 34*k**2 + 263*k + 797. Let o(y) = 4*r(y) - 3*u(y). Factor o(l).
(l + 8)*(l + 10)**2
Let i(b) = -b**2 - 18*b - 47. Let x be i(-14). Suppose 2*n - x = -5*y, 5*n - 1 = 5*y + 4. Factor 0*m**n + 4/5*m**4 + 0*m - 4/5*m**3 + 0.
4*m**3*(m - 1)/5
Let t be ((-420)/24 - -11) + 7. What is j in t*j + 0 + 1/2*j**2 = 0?
-1, 0
Let t(q) be the second derivative of -q**5/30 + 5*q**4/36 - q**3/6 - 105*q. Factor t(g).
-g*(g - 1)*(2*g - 3)/3
Let w = 3 + 3. Let j be (w - 2)*(-3)/(-6). Solve j*a**2 + 0*a**2 - 5*a**2 = 0 for a.
0
Let i(y) be the first derivative of -2*y**5/65 - 2*y**4/13 + 140*y**3/13 + 2156*y**2/13 + 11662*y/13 + 540. Factor i(z).
-2*(z - 17)*(z + 7)**3/13
What is k in 8*k + 4*k**2 + 182 - 182 = 0?
-2, 0
Let i be 37/(-17) - -1*3. Suppose 3*d + 22 - 19 = -g, 2*g - 8 = d. Find a such that i*a**g + 0 + 4/17*a**2 + 0*a + 6/17*a**4 = 0.
-2, -1/3, 0
Let w(h) = -5*h**3 + 30*h**2 - 10*h - 30. Let u(c) = c**2 - c - 1. Let y(m) = -30*u(m) + w(m). Factor y(n).
-5*n*(n - 2)*(n + 2)
Suppose 0 = q - 3 - 1. Let v = -1179/4 + 295. Find g such that 0 + v*g**q + 0*g + 1/4*g**2 + 1/2*g**3 = 0.
-1, 0
Let g(s) be the third derivative of 0*s - 1/150*s**5 - 17*s**2 + 0*s**3 + 1/60*s**4 + 0. Factor g(h).
-2*h*(h - 1)/5
Let r(g) = 32*g**3 - 2*g**2 - 5*g - 3. Let h be r(-1). Let s = h + 98/3. Factor -4/3 + 10/3*k**4 + s*k + 6*k**2 - 26/3*k**3.
2*(k - 1)**3*(5*k + 2)/3
Let r(y) be the third derivative of y**6/60 + 13*y**5/60 + 9*y**4/8 + 3*y**3 + 4*y**2 + 5*y. Factor r(g).
(g + 2)*(g + 3)*(2*g + 3)
Let n(c) be the second derivative of 9/16*c**4 + 0 + 3/16*c**5 + 1/40*c**6 + 17*c + 7/8*c**3 + 3/4*c**2. Factor n(w).
3*(w + 1)**3*(w + 2)/4
Suppose 2*m + 11*g - 6 = 7*g, 0 = -4*m + 2*g + 12. Let f be (-54)/30*(-2)/m. Factor 2/5*x**4 + f*x**2 + 0 - 6/5*x**3 - 2/5*x.
2*x*(x - 1)**3/5
Let z(s) be the third derivative of -s**6/660 + s**4/44 + 2*s**3/33 + 97*s**2. Factor z(h).
-2*(h - 2)*(h + 1)**2/11
Let s(m) be the third derivative of m**7/840 + m**6/80 + 19*m**4/24 + 27*m**2. Let r(i) be the second derivative of s(i). Factor r(g).
3*g*(g + 3)
Let x(r) = 3*r**5 + 3*r**3 - 9*r**2 - 6*r + 9. Let o(h) = h**5 + 2*h**3 - 4*h**2 - 3*h + 4. Let v(j) = 9*o(j) - 4*x(j). Factor v(m).
-3*m*(m - 1)**2*(m + 1)**2
Let o = 1801/273 - 46/7. Let p(d) be the third derivative of -1/78*d**4 + 0 + 1/390*d**5 + o*d**3 - 5*d**2 + 0*d. Solve p(a) = 0.
1
Let f be (39/(-60))/(-1) - 3/12. Suppose 2*j + i = 2, -2*j + 3*i = 5*i. Factor 0 + 0*s + 0*s**j + f*s**4 + 0*s**3.
2*s**4/5
Suppose -36/5 + 2/5*c**3 - 12/5*c**2 - 10*c = 0. Calculate c.
-2, -1, 9
Let b = -2321 + 2330. Let c(p) be the first derivative of b + 0*p + 0*p**4 + 1/15*p**5 + 0*p**2 - 1/9*p**3. Let c(q) = 0. What is q?
-1, 0, 1
Let u(b) be the first derivative of 0*b + 1/8*b**4 - 4 + 1/3*b**3 + 1/4*b**2. Solve u(m) = 0 for m.
-1, 0
Let v = 1517/18480 + -6/77. Let l(q) be the third derivative of 0 - 1/240*q**5 + 0*q + 0*q**3 + 6*q**2 - v*q**6 + 1/96*q**4. Factor l(k).
-k*(k + 1)*(2*k - 1)/4
Let c = 10 - 8. Let z be -1 - -6 - 22/11. Factor 9*h**2 - 5 - z*h + 3 - 4*h**c.
(h - 1)*(5*h + 2)
Let b(a) = -a**3 + 1. Let c(o) = 15*o**3 + 40*o**2 - 35*o - 20. Let d(w) = 30*b(w) + c(w). Find l, given that d(l) = 0.
2/3, 1
Let z be (45/(-5))/(-3) - 1. Suppose 0 = -k + z. Determine d so that d**5 - 15*d**5 + 14*d**4 - 54*d**3 + 50*d**4 + 26*d**k - 18*d**4 - 4*d = 0.
0, 2/7, 1
Factor -5*a**3 + 26 - 308*a**2 + 15*a + 148*a**2 + 4*a**3 + 148*a**2.
-(a - 2)*(a + 1)*(a + 13)
Let a be (0/34)/((-56)/4). Factor -4/5*v**2 + 4/5*v**3 - 8/5*v + a.
4*v*(