 z such that t(z) = 0.
1, 12
Let x be ((-8)/12 + (-5)/(-12))/((-29407)/33608). Factor 2*u**3 + 18/7*u - x*u**4 - 30/7*u**2 + 0.
-2*u*(u - 3)**2*(u - 1)/7
Suppose 4*y + 1 = 9. Let q(v) = v**3 + 38*v**2 - 28*v + 2080. Let s be q(-40). Factor -2/5 + s*j + 2/5*j**y.
2*(j - 1)*(j + 1)/5
Factor -572*j**2 - 657/2 - 1743/2*j + 8*j**3.
(j - 73)*(4*j + 3)**2/2
Let v(c) be the third derivative of c**7/840 + 3*c**6/40 + 81*c**5/40 - 5*c**4/3 - c**3/6 - 2*c**2 - 6. Let r(i) be the second derivative of v(i). Factor r(d).
3*(d + 9)**2
What is f in 10/17*f**2 - 20/17 - 46/17*f - 4/17*f**5 + 10/17*f**4 + 50/17*f**3 = 0?
-2, -1, -1/2, 1, 5
Find t such that 278/7*t**2 + 1391/7*t + 29/7*t**4 - 1/7*t**5 - 34*t**3 + 845/7 = 0.
-1, 5, 13
Suppose 4*m = -f + 21, m + 35 = f - 2*m. Suppose f*p = 5*p + 48. Determine t so that -1/4*t**p + 1/2*t - 1/4 = 0.
1
Suppose -49803*k + 49988*k - 370 = 0. Factor 3/8*p**k + 0 + 3/8*p.
3*p*(p + 1)/8
Factor -646*s**2 + 80588*s**3 - 40290*s**3 + 52488 - 40296*s**3 + 51840*s.
2*(s - 162)**2*(s + 1)
Let a be (-1 - (-2)/((-572)/(-274)))/((-42723)/185133). Let h = -9/13 + 125/143. Solve -12/11 + h*f**2 - a*f = 0.
-2, 3
Let a(n) be the first derivative of 14*n**3/57 + 44*n**2/19 + 675. Solve a(h) = 0 for h.
-44/7, 0
Let f = 52 - 50. Factor 2*s - s + 159*s**2 - 157*s**f - 3*s.
2*s*(s - 1)
Let v(k) = 3*k**4 - k**2 - 2*k + 1. Let o(m) = 38*m**4 - 34*m**3 - 18*m**2 + 74*m + 80. Let r(b) = o(b) - 12*v(b). Factor r(d).
2*(d - 17)*(d - 2)*(d + 1)**2
Let -9000*i**3 - i**4 - 343 + 294*i + 17988*i**3 + 56*i**2 - 8994*i**3 = 0. Calculate i.
-7, 1, 7
Let r(p) = 2*p + 2*p + p + p - 3*p + 20. Let l be r(-5). Suppose 0*u + u**2 + 0 + 7/2*u**3 - u**4 - 7/2*u**l = 0. Calculate u.
-1, -2/7, 0, 1
Let n = -270127 - -270130. Solve 3/4*a**n + 81/2 + 135/4*a + 9*a**2 = 0.
-6, -3
Let v(m) be the third derivative of m**6/660 - 37*m**5/165 + 71*m**4/33 - 280*m**3/33 - 6596*m**2. Let v(h) = 0. Calculate h.
2, 70
Let r(l) = 3*l**2 - 5*l - 7. Let g be r(3). Factor t**4 + t**2 + 0*t**2 - g - t**3 + 6*t + 2*t**2 + t**2 - 5*t**3.
(t - 5)*(t - 1)**2*(t + 1)
Let w(z) be the second derivative of z**4/36 - 4*z**3/9 + 180*z - 3. Factor w(p).
p*(p - 8)/3
Factor -7 - 11 + 20*h**4 - 527*h**2 + 18 + 852*h**2 + 185*h**3 + 70*h.
5*h*(h + 2)*(h + 7)*(4*h + 1)
Let g(w) be the third derivative of -w**8/42 + 11*w**7/35 - 2*w**6/3 - 4*w**5 + 56*w**4/3 - 16*w**3 - 2880*w**2. Let g(k) = 0. Calculate k.
-2, 1/4, 2, 6
Factor -7/2 + 13/4*p + 1/4*p**2.
(p - 1)*(p + 14)/4
Let y(o) be the second derivative of 5*o**2 - 29*o - 15/4*o**4 - 13/4*o**5 + 5/6*o**3 - 5/6*o**6 + 0. Solve y(d) = 0.
-1, 2/5
Let t(q) be the third derivative of -q**6/210 + 19*q**5/42 - 37*q**4/14 - 45*q**3/7 - 1206*q**2. What is m in t(m) = 0?
-1/2, 3, 45
Solve -128/17 - 194/17*r**2 - 36/17*r**3 - 288/17*r - 2/17*r**4 = 0.
-8, -1
Let w(b) = -300*b**3 + 1205*b**2 - 1375*b + 160. Let r(f) = 149*f**3 - 602*f**2 + 682*f - 80. Let u(p) = -5*r(p) - 2*w(p). Factor u(j).
-5*(j - 2)**2*(29*j - 4)
Let p = -7919 - -150477/19. Let t be (-10)/1*36/(-285). Factor p + 12/19*c**2 - 2/19*c**3 - t*c.
-2*(c - 2)**3/19
Let v(n) be the third derivative of n**5/48 + 995*n**4/48 - 665*n**3/8 + n**2 + 44*n - 9. Factor v(k).
5*(k - 1)*(k + 399)/4
Let f(y) be the first derivative of y**4/4 + 8*y**3/3 - 11*y**2/2 - 15*y - 34. Let t be f(-9). Factor 13*i**t - i**2 + 44*i - 17*i**3 - 24 - 15*i**2.
-4*(i - 1)**2*(i + 6)
Let i = 25/251 + 176/753. Let o(z) be the second derivative of -1/2*z**2 + i*z**3 - 1/12*z**4 - 12*z + 0. Factor o(a).
-(a - 1)**2
Let i(l) be the first derivative of -l**9/5040 - l**8/560 - 3*l**7/700 - 257*l**3/3 + 280. Let s(w) be the third derivative of i(w). Factor s(k).
-3*k**3*(k + 2)*(k + 3)/5
Let q(m) be the first derivative of -m**6/2 + 81*m**5/5 + 69*m**4 - 48*m**3 - 528*m**2 - 720*m + 9755. Let q(s) = 0. What is s?
-2, -1, 2, 30
Let c(a) be the second derivative of -a**4 + 668*a**3/3 + 448*a**2 + a + 1007. Factor c(q).
-4*(q - 112)*(3*q + 2)
Let i(w) = 2*w**2 - 5*w. Suppose -5*j + m - 149 = 0, 2*j - 6*m + 78 = -m. Let f = -5 + j. Let z(l) = 11*l**2 - 29*l. Let o(t) = f*i(t) + 6*z(t). Factor o(s).
-2*s*(s + 2)
Suppose -9/5*d**3 + 63/10 + 9/5*d + 1/10*d**4 - 32/5*d**2 = 0. What is d?
-3, -1, 1, 21
Let -213*d**2 - 254*d**2 + 71*d**3 + 83*d**4 - 16*d**3 - 2523*d - 200*d**2 - 84*d**4 = 0. Calculate d.
-3, 0, 29
Let u(s) be the second derivative of s**4/6 + 4*s**3/3 + s**2 - 36*s. Let p be u(-4). Solve 7*f**4 + 23*f**5 - 8*f + 6*f**3 - 8*f**p + f**4 - 21*f**5 = 0 for f.
-2, -1, 0, 1
Suppose 54 = 4*m + 2*n, m + 2*n - 15 + 6 = 0. Let u be (3/m)/(50/1125). Factor -3/2*s**2 + 6*s - u.
-3*(s - 3)*(s - 1)/2
Let q be 124 + -128 + -126 + 1. Let z be 22/10 + q/645. Factor -1/2*k**z + 0 + 0*k + 1/2*k**3.
k**2*(k - 1)/2
Let k = 15 + -10. Let f = 68194/76131 + -58/8459. Factor -4/9 + 2/3*b + 4/9*b**2 - f*b**3 + 0*b**4 + 2/9*b**k.
2*(b - 1)**3*(b + 1)*(b + 2)/9
Factor -149735*d - 4*d**3 - 38210*d + 58345*d - 1440*d**2.
-4*d*(d + 180)**2
Let p(h) be the third derivative of 3*h**8/28 - 446*h**7/105 + 913*h**6/30 - 1073*h**5/15 + 127*h**4/3 + 80*h**3 - 475*h**2. What is n in p(n) = 0?
-2/9, 1, 3, 20
Let l(s) be the second derivative of -s**5/60 - 7*s**4/2 - 41*s**3/6 + 125*s**2/3 + 2*s + 4326. Factor l(q).
-(q - 1)*(q + 2)*(q + 125)/3
Let l = 93508 + -93503. Determine p so that 5/4*p**2 + 0 - 1/2*p**l - 5/4*p**4 + 1/2*p + 0*p**3 = 0.
-2, -1, -1/2, 0, 1
Let u = 148012 - 148009. Factor 0 + 4/13*s + 6/13*s**2 + 0*s**u - 2/13*s**4.
-2*s*(s - 2)*(s + 1)**2/13
Factor 15488 + 2/9*t**2 + 352/3*t.
2*(t + 264)**2/9
Let k(y) be the third derivative of y**6/1440 + 13*y**5/240 + 169*y**4/96 + 61*y**3/6 + 104*y**2. Let t(v) be the first derivative of k(v). Factor t(s).
(s + 13)**2/4
Let z(f) be the second derivative of -f**5/4 - 115*f**4/3 - 5720*f**3/3 - 19360*f**2 + 5702*f. Factor z(b).
-5*(b + 4)*(b + 44)**2
Let v be 10 + 6 + -3*240/45 - 72/(-21). Factor 7*f**2 + 1/7*f**4 - 26/7*f**3 + 0 - v*f.
f*(f - 24)*(f - 1)**2/7
Let p be -4 + (-16)/(-2) + (10 - 4). Suppose 21*a + 1 - 9 - 4*a**3 - 22*a**2 - a + 4*a**4 + p*a**2 = 0. What is a?
-2, 1
Let b = 21053/4 + -5259. What is r in -16 + 20*r + 1/4*r**3 - b*r**2 = 0?
1, 8
Let q be ((-27)/18)/(1/2). Let i(s) = s**4 + 13*s**3 + 19*s**2 - 13*s - 12. Let x(a) = 12*a**3 + 18*a**2 - 12*a - 12. Let j(m) = q*i(m) + 4*x(m). Factor j(u).
-3*(u - 4)*(u - 1)*(u + 1)**2
Suppose 0 = -h - 31 + 140. Suppose 7*r - h = 24. Factor r*y - 20*y**3 + 4*y - 4*y**2 - 5*y**4 - 3*y + 15 - 6*y**2.
-5*(y - 1)*(y + 1)**2*(y + 3)
Let a(t) be the second derivative of -t**4/30 - 271*t**3/5 - 486*t**2 + t - 8779. Factor a(s).
-2*(s + 3)*(s + 810)/5
Suppose 297 - 6*m**4 + 218*m**2 - 21*m**3 - 47*m + 66*m + 355*m**2 + 866*m = 0. Calculate m.
-11, -1, -1/2, 9
Let z(c) be the first derivative of -c**6/2160 + c**5/20 + 37*c**4/144 + c**3 - 2*c + 48. Let k(q) be the third derivative of z(q). Factor k(s).
-(s - 37)*(s + 1)/6
Factor -3*g**2 - 22*g**2 - 774 + 4215*g + 1209 + 4*g**2 + 771.
-3*(g - 201)*(7*g + 2)
Let j(p) = -80*p**2 - 58*p + 60. Let s(x) = 19*x + 7*x + 27*x**2 + 7*x - 20 - 13*x. Let u(r) = 3*j(r) + 8*s(r). Let u(o) = 0. Calculate o.
-5/4, 2/3
Let m be 7 + (-22 - (25 + -42)). Determine f, given that -1/4*f**m + 5/4*f + 3/2 = 0.
-1, 6
Let k(f) = 4*f**3 - 5*f**2 + 5*f + 10. Let r(c) be the first derivative of c**4/2 - c**3 + 3*c**2/2 + 4*c + 38. Let l(j) = -6*k(j) + 14*r(j). Factor l(p).
4*(p - 1)**3
Suppose -7680 = -525*z + 285*z. Let j(c) be the first derivative of -196/3*c - z + 28/3*c**2 - 4/9*c**3. Suppose j(n) = 0. Calculate n.
7
Let o(s) be the second derivative of 0*s**3 + 2 + 6/35*s**5 + 0*s**2 + 35*s - 1/49*s**7 - 2/7*s**4 + 1/35*s**6. Determine t so that o(t) = 0.
-2, 0, 1, 2
Let s(m) be the second derivative of 1/252*m**7 + 3/40*m**5 + 1/30*m**6 + 0*m**3 - 2 + 0*m**2 + 1/18*m**4 - 19*m. Factor s(i).
i**2*(i + 1)**2*(i + 4)/6
Let d be (-2)/1 + (-10)/50*-25. Factor -9*p + 10*p + 2*p**4 - 6*p**3 + 18*p**2 - 6*p - d*p - 6*p**3.
2*p*(p - 4)*(p - 1)**2
Let x(o) = -5*o + 81. Let b be x(0). Solve 42*s**3 - 3*s**5 - 821*s - 15*s**3 - b*s**2 + 1653*s + 9*s**4 - 832*s = 0 for s.
-3, 0, 3
Let p(c) be the second derivative of -5*c**4/12 + 35*c**3/6 - 15*c**2 + c - 653. Solve p(t) = 0.
1, 6
Let k be (-57)/126*-3 + (-1002)/1169. Factor -5/4*j**2 