2/3
Let b(m) = 4*m**3 - 4*m**2 + 13*m - 17. Let x(d) = -5*d**3 + 5*d**2 - 14*d + 18. Let q(g) = -6*b(g) - 5*x(g). Factor q(v).
(v - 2)**2*(v + 3)
Suppose 4 = -0*t + 4*t + 3*p, 36 = 5*t - 4*p. Let b(s) = -5*s**2 - 4. Let y(r) = -2 + 62*r**2 - 3 - 61*r**2 + 6. Let f(q) = t*b(q) + 18*y(q). Solve f(d) = 0.
-1, 1
Let b(l) be the second derivative of -l**7/3360 + l**6/480 - l**5/240 - 25*l**3/6 + 7*l. Let z(y) be the second derivative of b(y). Let z(q) = 0. Calculate q.
0, 1, 2
Determine d so that 0*d**4 - 2*d**4 - 3*d**4 - 4*d**3 + 40*d**2 + 16*d - 5*d**4 = 0.
-2, -2/5, 0, 2
Let m be (0 - 0)/((-5)/(-5)) + -1. Let i be ((-20)/(-12) + m/(-3))/1. Find h such that 0 + 1/4*h - 1/4*h**i = 0.
0, 1
Let r(o) be the third derivative of o**8/2184 + 2*o**7/455 - o**6/52 + 4*o**5/195 + 8*o**2. Find b such that r(b) = 0.
-8, 0, 1
Suppose -42 = -n - 13*n. Let m(w) be the second derivative of 2*w**2 + 4/3*w**n + 5/12*w**4 - 4*w + 1/20*w**5 + 0. Factor m(i).
(i + 1)*(i + 2)**2
Let s be (-26)/(-4) - 3/6. Let v(c) = -3*c**5 + 3*c**4 - 9*c**3 - 3*c**2 - 6*c + 6. Let t(n) = -n**5 - n**3 - n + 1. Let y(w) = s*t(w) - v(w). Factor y(r).
-3*r**2*(r - 1)*(r + 1)**2
Let b(k) be the third derivative of k**8/53760 - k**7/4480 + k**6/960 + k**5/10 + 51*k**2. Let w(r) be the third derivative of b(r). Factor w(x).
3*(x - 2)*(x - 1)/8
Suppose -2*r + 5*m - 6 = 4*m, 0 = -5*r + 3*m - 16. Let p(z) = -z**3 - 2*z**2 - 4*z - 2. Let u be p(r). Determine k so that 6*k**2 - 3*k - u*k**2 - 2*k**2 = 0.
-3/2, 0
Let c = -489 - -489. Solve c*h + 4/5*h**2 - 16/5 = 0.
-2, 2
Determine f so that -100/3 + 235/3*f**2 + 20/3*f**3 + 340/3*f = 0.
-10, -2, 1/4
Let z be (-3407)/(-1135) - 1*(7 + -4). Let f = z - -6796/7945. Factor 2/7*q**2 + 4/7 + f*q.
2*(q + 1)*(q + 2)/7
Let t = -1/3763 - -395117/7526. Solve -t*p - 3/2*p**3 + 75/2 + 33/2*p**2 = 0 for p.
1, 5
Suppose 4*m - 2 = 2*m. Let n(i) be the first derivative of 1/5*i**2 - m + 2/5*i - 2/15*i**3 - 1/10*i**4. Find u such that n(u) = 0.
-1, 1
Factor -8 - 60/7*m - 16/7*m**2.
-4*(m + 2)*(4*m + 7)/7
Let v(p) = 2 - 18*p**3 + 4*p**2 - 2*p + 0*p**2 - 53*p**4 - 4*p**2 - 15*p**5. Let w(c) = -c**4 - c + 1. Let g(z) = v(z) - 2*w(z). Factor g(i).
-3*i**3*(i + 3)*(5*i + 2)
Suppose -4*u = -4*x - 36, -u - 5*x - 8 = 1. Let z(t) be the second derivative of -1/3*t**3 + 0*t**2 + 0 - 1/15*t**u + t + 1/6*t**4 + 1/10*t**5. Factor z(c).
-2*c*(c - 1)**2*(c + 1)
Let l(t) be the third derivative of 1/540*t**6 + 0 - 1/9*t**3 - 1/270*t**5 - 5/108*t**4 + 0*t - 17*t**2. Factor l(a).
2*(a - 3)*(a + 1)**2/9
Let y(x) be the second derivative of -x**5/100 + 7*x**4/60 + 7*x**3/10 - 27*x**2/10 - 235*x. Factor y(m).
-(m - 9)*(m - 1)*(m + 3)/5
Let i(m) = 40*m**4 - 36*m**3 - 52*m**2 + 12*m - 4. Let q(x) = 117*x**4 - 108*x**3 - 155*x**2 + 37*x - 11. Let b(k) = 11*i(k) - 4*q(k). Factor b(a).
-4*a*(a - 2)*(a + 1)*(7*a - 2)
Let i(y) be the third derivative of 7*y**2 - 1/24*y**4 + 0*y + 0 - 7/240*y**6 + 0*y**3 - 3/40*y**5. Factor i(q).
-q*(q + 1)*(7*q + 2)/2
Let x = 245978/143479 - 2/20497. Let -3/7 - x*j - 18/7*j**2 - 12/7*j**3 - 3/7*j**4 = 0. Calculate j.
-1
Let l(u) be the first derivative of u**6/120 + u**5/20 + u**4/8 + 16*u**3/3 - 5. Let z(b) be the third derivative of l(b). What is c in z(c) = 0?
-1
Let x = -295 + 295. Let r(g) be the second derivative of -1/2*g**2 + 1/30*g**6 - 6*g + 0*g**4 + 1/10*g**5 - 1/3*g**3 + x. Factor r(b).
(b - 1)*(b + 1)**3
Let j(h) be the third derivative of h**7/420 + h**6/120 - h**5/120 - h**4/24 - 2*h**2 - 99*h. Solve j(t) = 0.
-2, -1, 0, 1
Let v(j) = -67*j**2 - 495*j - 4130. Let p(o) = 8*o**2 + 62*o + 516. Let b(x) = -34*p(x) - 4*v(x). Factor b(y).
-4*(y + 16)**2
Let k be 2*1*(-65)/26. Let c(g) = -10*g**2 + 69*g + 30. Let t(s) = -9*s**2 + 69*s + 30. Let d(u) = k*t(u) + 6*c(u). Find m such that d(m) = 0.
-2/5, 5
Let k(v) = 0*v + 6*v - 7 + 3*v - 9. Let n be k(2). Factor -2/5*x**n + 0*x + 2/5.
-2*(x - 1)*(x + 1)/5
Let b(k) be the first derivative of -5*k**4/4 - 25*k**3/3 + 55*k**2 - 80*k + 178. Factor b(t).
-5*(t - 2)*(t - 1)*(t + 8)
Let n(h) be the second derivative of 67/3*h**4 + 8*h**2 + 6/5*h**6 + 51/5*h**5 + 58/3*h**3 + 0 + 25*h. What is r in n(r) = 0?
-4, -1, -1/3
Let g(v) = -v**3 + 26*v**2 - 50*v + 4. Let w(j) = -6*j**3 + 183*j**2 - 351*j + 30. Let r(u) = -15*g(u) + 2*w(u). Factor r(f).
3*f*(f - 4)**2
Let g = 1583 + -1575. Suppose 5*r + 3*z - 36 = 2*z, -r - 4*z - 8 = 0. Factor -4/5*b**5 + 4*b**4 + 4/5 - r*b**3 - 4*b + g*b**2.
-4*(b - 1)**5/5
Suppose 0 = -5*h, 0*w = 5*w + 5*h - 10. Solve 15 - 22*l - 3*l - 10*l**w - 16*l**2 + 36*l**2 = 0.
1, 3/2
Let u be 70/5*2/21. Factor u - 8/3*y - 4/3*y**2 + 8/3*y**3.
4*(y - 1)*(y + 1)*(2*y - 1)/3
Suppose -30*y + 28 - y - 10*y**2 + 53*y + 44*y = 0. Calculate y.
-2/5, 7
Let u(n) be the third derivative of n**7/280 - n**6/160 - n**5/20 + n**4/8 - 26*n**2 + 3*n. Let u(j) = 0. Calculate j.
-2, 0, 1, 2
Suppose 3*s = 2*d - 22 - 0, -s - 14 = -2*d. Suppose u = d*u - 44. Determine o so that u*o**2 - 5*o**2 + o**5 - 9*o**3 + 2*o**5 = 0.
-2, 0, 1
Factor 2/5*y**2 + 12/5 - 2*y.
2*(y - 3)*(y - 2)/5
Let z(j) be the first derivative of -2/5*j**5 + 2*j**3 + 37 + 11*j**2 + 12*j - 3/2*j**4. Factor z(m).
-2*(m - 2)*(m + 1)**2*(m + 3)
Let c(j) = -j**3 - 8*j**2 - 13*j + 9. Let p be c(-6). Suppose -3*u - 1 = -2*k, 3*k - u = -3*u + 8. Factor -2*x**2 - k*x**2 - 14*x**4 + 3*x**3 + p*x**3.
-2*x**2*(x - 1)*(7*x - 2)
Let f(o) be the third derivative of o**5/80 - 51*o**4/16 + 2601*o**3/8 + 75*o**2. Determine z so that f(z) = 0.
51
Let r be (-5955)/300 - -20 - (-1)/10. Factor -3/4*k**2 - r*k**4 + 0*k + 0 - k**3.
-k**2*(k + 1)*(k + 3)/4
What is a in 6*a + 55*a**4 + 156*a**3 + 93*a**2 + 31*a**5 - 193*a**5 - 148*a**4 = 0?
-1, -1/2, -2/27, 0, 1
Let y(d) be the third derivative of 2/15*d**5 + 1/672*d**8 + 1/70*d**7 + 0 + 3/16*d**4 + 0*d + 1/6*d**3 - 7*d**2 + 7/120*d**6. Factor y(b).
(b + 1)**4*(b + 2)/2
Let d be 2*(-1)/2*-4. Let r be (d/(-3))/(9/(-27)). Factor -6*b**r - 8*b**4 + 13*b**4 - b**5.
-b**4*(b + 1)
Let v(b) be the third derivative of -b**5/5 + 13*b**4/3 + 6*b**3 + 27*b**2. Factor v(a).
-4*(a - 9)*(3*a + 1)
Suppose 3*n - 2 = 28. Let o = -4 + n. Factor -8*j**5 + 5*j**3 - 12*j**2 - 12*j + 5*j**5 + 4*j**3 + o*j**4.
-3*j*(j - 2)**2*(j + 1)**2
Let y(t) be the first derivative of -t**4 + 4*t**3 + 3*t**2 - 121 + 122 - 7*t**2. What is m in y(m) = 0?
0, 1, 2
Suppose 463*j - 436*j = -1 + 1. Factor j + 0*g**2 - 1/3*g**4 + 0*g + 2/3*g**3.
-g**3*(g - 2)/3
Let w = -28676/13 - -2206. Suppose 6/13*r**2 - 6/13 + w*r**3 - 2/13*r = 0. Calculate r.
-3, -1, 1
Let b(k) = 8*k**2 - 72*k + 132. Let u(p) = p**2 + p - 1. Let a(x) = b(x) - 4*u(x). Determine o so that a(o) = 0.
2, 17
Let g(u) be the third derivative of 0*u + 0 + 0*u**3 + 3*u**2 - 3/20*u**5 - 1/4*u**4 + 3/70*u**7 + 1/20*u**6. Solve g(t) = 0.
-1, -2/3, 0, 1
Let s(b) be the first derivative of 1 + 0*b + 2/3*b**3 + 1/6*b**4 + 2/3*b**2. Factor s(m).
2*m*(m + 1)*(m + 2)/3
Factor 13*y + 79*y**3 + y**5 + 7 - 175*y**3 + 82*y**3 - 2*y**2 - 5*y**4.
(y - 7)*(y - 1)*(y + 1)**3
Find r such that 10*r + r**3 - 3 - 403*r**2 + 410*r**2 + 3 = 0.
-5, -2, 0
Let d(x) = -x**2 - 9*x - 3. Let i be d(-6). Factor 3*k**2 - 11*k + 6*k - i*k + 2*k**2.
5*k*(k - 4)
Let w(g) be the first derivative of -5*g**4/4 - 5*g**3/3 + 10*g**2 + 20*g - 179. Factor w(s).
-5*(s - 2)*(s + 1)*(s + 2)
Let m be 12*(0 + 1/3). Let c be 4 + m + (-6 - -2). Factor 0*n**3 + 2/5*n**c + 0 + 0*n - 2/5*n**2.
2*n**2*(n - 1)*(n + 1)/5
Let y(l) be the first derivative of -3 - 1/3*l**3 + 0*l + 0*l**4 + 1/5*l**5 - 1/4*l**2 + 1/12*l**6. Factor y(d).
d*(d - 1)*(d + 1)**3/2
Let n(m) = 9*m**2 + 155*m + 38. Let w be n(-17). Solve -256/5*t - 448/5*t**3 + 32/5 + 624/5*t**2 + 98/5*t**w = 0 for t.
2/7, 2
Let y be (1 - 4) + (3 - (-6)/(-17)). Let a = y + 35/51. Factor 0*r**2 + 0 + a*r - 1/3*r**3.
-r*(r - 1)*(r + 1)/3
Let j(s) = -s**2 - s + 1. Let t(n) = -3 + 1 + 1 - 3 + 16*n + 12*n**2. Let w(b) = -8*j(b) - t(b). Find h, given that w(h) = 0.
-1
Let u(a) be the third derivative of a**7/70 + 3*a**6/8 + 39*a**5/20 + 37*a**4/8 + 6*a**3 + 419*a**2 + 1. Solve u(j) = 0.
-12, -1
Suppose -11*x = -14*x + 42. Suppose -x*a - 17 = -45. Suppose 2/3*o + 1/3*o**a + 1/3 = 0. What is o?
-1
Let v be (-8 - -6) + ((-119)/126 - -3). Let b(q) be the third derivative of -4*q**2 - 1/27*q**3 - 1/30*q**5 + 