actor 7/2*h + 4 - 1/2*h**i.
-(h - 8)*(h + 1)/2
Suppose 17*o + 58 = 143. Let r(s) be the third derivative of 1/6*s**4 + 1/60*s**6 + 0 + 1/10*s**5 - o*s**2 + 0*s + 0*s**3. What is w in r(w) = 0?
-2, -1, 0
Factor -77935*s**4 + 77939*s**4 + 2476*s**3 + 0*s + 0*s.
4*s**3*(s + 619)
Let t(i) be the third derivative of 31/1260*i**7 - 2 - 2/45*i**5 + 0*i**3 + 1/504*i**8 + 0*i**4 + 7/90*i**6 + 0*i + 106*i**2. Factor t(b).
b**2*(b + 4)**2*(4*b - 1)/6
Let z(y) be the third derivative of y**5/90 - 115*y**4/18 + 229*y**3/9 - 221*y**2. Factor z(m).
2*(m - 229)*(m - 1)/3
Let x(f) be the second derivative of f**4/6 - f**3 - 10*f**2 + 426*f + 1. Determine w, given that x(w) = 0.
-2, 5
Let s(q) = -11629*q + 35. Let k be s(-1). Determine o so that -38*o**2 - 47*o**2 - 357*o - 75*o - k + 81*o**2 = 0.
-54
Let v = -7 + 13. Let n = 132 + -130. Factor 0*r**3 + n*r**4 + r**3 - 3*r**5 - 4*r**3 - 2*r**2 + v*r**5.
r**2*(r - 1)*(r + 1)*(3*r + 2)
Let 97/2*i**2 - 1/4*i**4 + 23/4*i**3 + 90 + 117*i = 0. Calculate i.
-3, -2, 30
Let r(d) be the second derivative of d**6/105 - 6*d**5/35 + 11*d**4/42 + 100*d**3/7 - 900*d**2/7 - 15*d + 20. Factor r(c).
2*(c - 6)**2*(c - 5)*(c + 5)/7
Let s(z) = -4*z**4 + 106*z**3 + 2467*z**2 - 2805*z - 5207. Let h(i) = -i**4 + i**3 - 6*i**2 - 1. Let u(x) = 10*h(x) - 2*s(x). Factor u(r).
-2*(r - 2)*(r + 1)*(r + 51)**2
Factor 140/3 - 82/9*q + 2/9*q**2.
2*(q - 35)*(q - 6)/9
Let y(h) be the second derivative of -h**6/50 - 3*h**5/10 - 9*h**4/20 + 54*h**3/5 + 162*h**2/5 + 2332*h. Solve y(k) = 0 for k.
-6, -1, 3
Let k(j) = -j**4 + 4 - 2 - 2*j**3 + 42*j**2 - 47*j**2. Let y(m) = 2*m**4 + 3*m**3 + 10*m**2 - m - 5. Let a(v) = -15*k(v) - 6*y(v). Solve a(g) = 0 for g.
-2, -1, 0
Let u(q) be the third derivative of -q**6/240 + 11*q**5/8 + 2411*q**2. Let u(x) = 0. What is x?
0, 165
Let r(b) be the first derivative of -256/15*b**5 - 12 + 176/3*b**4 + 44*b**2 - 12*b - 676/9*b**3. What is o in r(o) = 0?
3/8, 1
Let z(v) be the first derivative of -160/3*v**3 + 145/4*v**4 + 0*v - 12 + 30*v**2 - 10*v**5 + 5/6*v**6. Suppose z(h) = 0. What is h?
0, 1, 2, 6
Solve -124/3*j**2 + 0 + 4/9*j**3 + 728/9*j = 0.
0, 2, 91
Let i(k) be the second derivative of 7*k**6/15 + 943*k**5/10 - 45*k**4 - 2*k + 85. Factor i(t).
2*t**2*(t + 135)*(7*t - 2)
Let l(q) = -52*q**3 + 10749*q**2 - 7204*q. Let a(f) = -27*f**3 + 5374*f**2 - 3604*f. Let i(b) = -11*a(b) + 6*l(b). Factor i(s).
-5*s*(s - 358)*(3*s - 2)
Let g(d) be the second derivative of 4*d**7/63 - d**6/15 - 6*d**5/5 + 26*d**4/9 - 14664*d. Find h such that g(h) = 0.
-13/4, 0, 2
Let l be (-27)/(-270)*1/3. Let f(y) be the first derivative of -16 - 2/15*y**3 + l*y**4 + 0*y + 2/15*y**2. Determine h so that f(h) = 0.
0, 1, 2
Factor -36*q**3 + 0 + 7*q**4 - 64*q + 80*q**2 - 1/2*q**5.
-q*(q - 4)**3*(q - 2)/2
Let z(f) be the second derivative of -7*f**2 + 0*f**3 + 1/16*f**4 + 26*f + 0 + 1/80*f**6 - 1/20*f**5. Let w(u) be the first derivative of z(u). Solve w(j) = 0.
0, 1
Suppose -l = -2*s + 30, 45 = 3*s + 2*l - l. Suppose 0 = -2*y + y + 5*q + s, 3*q = -y - 1. Factor 15*h**3 + 10*h**4 - 10*h**4 + y*h**4.
5*h**3*(h + 3)
Solve 95*d - 33*d + 6*d**3 + d**4 + 10 - 28*d - 37*d - 3*d**3 - 11*d**2 = 0.
-5, -1, 1, 2
Let w(r) be the first derivative of -r**3/15 + 11*r**2/10 + 242*r/5 - 2240. Suppose w(m) = 0. Calculate m.
-11, 22
Let i(s) be the third derivative of -s**5/15 + 107*s**4/6 + 436*s**3/3 + 16*s**2 + 5*s - 5. Let i(t) = 0. What is t?
-2, 109
Let i = 5620 + -26372/5. Suppose 36/5*d**2 + 432/5*d + 1/5*d**3 + i = 0. Calculate d.
-12
Let s = -238679 - -238682. Factor -2/11*k**s - 24/11 + 16/11*k + 2/11*k**2.
-2*(k - 2)**2*(k + 3)/11
Find v such that 132*v**3 - 3939 - 9600*v - 8175 - 4*v**4 - 3886 - 520*v**2 = 0.
-5, -2, 20
Let p = 48397 - 48394. Factor 0 - 2/11*q**p + 12/11*q - 2/11*q**2.
-2*q*(q - 2)*(q + 3)/11
Let p(i) = 3*i**2 - 530*i - 525. Let o(t) = -5*t**2 + 4*t + 1. Let r(a) = o(a) + p(a). Factor r(h).
-2*(h + 1)*(h + 262)
Let z = 8 - 5. Let v = -309335/56 - -44193/8. What is f in 0 - 8/7*f**4 + v*f**z + 8/7*f**2 + 0*f - 2/7*f**5 = 0?
-4, -1, 0, 1
Let v(a) be the second derivative of -a**7/735 + a**6/210 - a**4/42 + a**3/21 + 153*a**2/2 - 188*a. Let s(i) be the first derivative of v(i). Factor s(c).
-2*(c - 1)**3*(c + 1)/7
Let p = -1/16421 - -213476/49263. Factor p*m + 8 + 1/3*m**3 - 10/3*m**2.
(m - 8)*(m - 3)*(m + 1)/3
Let j(t) = 3*t**2 + 434*t - 4232. Let m(p) = p**2 + 110*p - 1058. Let i(f) = 3*j(f) - 11*m(f). Find r such that i(r) = 0.
23
Suppose 3*i = -n + 6, -3*n + 2*n + 5*i - 2 = 0. Let f(r) = r**3 - 2*r**2 - 2. Let w be f(n). Solve l**2 - 11*l**2 + w*l**2 - 6*l = 0 for l.
-2, 0
Let x(y) be the first derivative of -45*y + 5/4*y**4 + 50 + 25/3*y**3 + 15/2*y**2. Factor x(l).
5*(l - 1)*(l + 3)**2
Let z(a) = a**3 + 13*a**2 + 13*a + 11. Let b be z(-12). Let f be 4/(b*2/(-31)). Factor 0*r**3 - r**3 - 2*r - 4*r**2 + 3*r**3 + 66 - f.
2*(r - 2)*(r - 1)*(r + 1)
Let x(t) be the first derivative of -t**4/22 - 1460*t**3/11 - 1598700*t**2/11 - 778034000*t/11 + 230. Factor x(a).
-2*(a + 730)**3/11
Let q(u) be the first derivative of -9*u**4/16 - 5*u**3/2 + 33*u**2/2 - 18*u + 3871. Suppose q(o) = 0. Calculate o.
-6, 2/3, 2
Let m(t) be the third derivative of -169/27*t**3 + 6*t**2 - 1/270*t**5 - 13/54*t**4 + 0*t + 1. Factor m(r).
-2*(r + 13)**2/9
Let a(i) = 359*i**2 - 709*i - 14. Let k be a(2). Solve 12*h**3 + 32/7*h + 4/7*h**5 - 32/7*h**k + 0 - 88/7*h**2 = 0.
0, 1, 2, 4
Suppose -649*b**4 - 219*b**2 - 303*b**2 - 27828*b**3 + 3*b**5 + 26787*b**3 + 133*b**4 = 0. Calculate b.
-1, 0, 174
Let i(o) = 2*o**2 + 310*o + 1792. Let m be i(-6). Let r(d) be the third derivative of -d**m - 11/3*d**3 - 1/30*d**5 + 0*d + 28*d**2 + 0. Solve r(f) = 0.
-11, -1
Suppose -5*w - 24884 = -4*w - 24886. Let a(f) be the first derivative of -1/26*f**4 + 4/13*f**3 + 26 + 8/13*f - 9/13*f**w. Factor a(r).
-2*(r - 4)*(r - 1)**2/13
Let y(z) = 3*z**3 - 5*z**2 - 22*z + 182. Let m(t) = -t**3 - t**2 - t - 1. Suppose -31 = -19*b + 45. Let j(c) = b*m(c) + 2*y(c). Let j(r) = 0. What is r?
-5, 6
Let d(z) = z**4 + z**3 - z**2 - 34. Let p(n) = -30*n**4 - 35*n**3 - 100*n**2 + 270*n + 1190. Let f(o) = -35*d(o) - p(o). Let f(g) = 0. Calculate g.
-6, 0, 3
Let q(r) be the second derivative of r**7/63 - 377*r**6/45 + 75*r**5/2 - 1123*r**4/18 + 374*r**3/9 - 22*r + 20. Suppose q(n) = 0. What is n?
0, 1, 374
Let f(s) be the second derivative of s**7/420 - 7*s**6/180 + s**5/15 + s**4 - 89*s**3/6 + 165*s. Let h(j) be the second derivative of f(j). Factor h(g).
2*(g - 6)*(g - 2)*(g + 1)
Suppose 12*s + 33 = 57. Factor 6 - 13*v - 7*v**2 - s*v**4 + 22*v**3 + 0*v**2 + 13*v**2 - 2*v**2 - 16*v**3 - v**5.
-(v - 1)**3*(v + 2)*(v + 3)
Factor -130/3*c + 8450/3 + 1/6*c**2.
(c - 130)**2/6
Let f(k) be the third derivative of 1/110*k**5 + 0 + 0*k + 4/11*k**4 + 15/11*k**3 + 19*k**2. Factor f(m).
6*(m + 1)*(m + 15)/11
Let m(l) = -l**3 + 200*l**2 + 631*l + 418. Let p(b) = 2*b**3 - 196*b**2 - 632*b - 419. Let s(h) = 5*m(h) + 4*p(h). Factor s(k).
3*(k + 1)*(k + 2)*(k + 69)
Let t(w) be the first derivative of -w**4/2 - 2*w**3 + 144*w**2 - 1080*w - 4628. Factor t(n).
-2*(n - 6)**2*(n + 15)
Let b(t) = -9*t + 17*t - 1 - 9*t**4 - 3*t**3 - 10*t**3. Let l(j) = -14*j**4 - 20*j**3 + 12*j - 2. Let a(k) = 8*b(k) - 5*l(k). Factor a(g).
-2*(g - 1)*(g + 1)**3
Let l(a) = -4*a**2 - 2*a - 4*a**3 + 0*a - 16*a**3 - 2 + 14*a**3. Let j(h) = -h**4 + 0*h**2 - 1 + h**2 + 2*h**4. Let b(w) = -4*j(w) + 2*l(w). Factor b(k).
-4*k*(k + 1)**3
Let u = 185 + -182. Suppose -4036*t - u*t**2 - 6 + 0 + 4045*t = 0. Calculate t.
1, 2
Let f(y) be the first derivative of 20/9*y**2 + 2/9*y**3 - 1/3*y**4 - 2/45*y**5 + 8/3*y - 126. Let f(h) = 0. What is h?
-6, -1, 2
Let v = 40039/105 + -5077/15. Factor -60/7*k + v + 3/7*k**2.
3*(k - 10)**2/7
Suppose -4*j - k + 5 = 0, 0 = 3*j + 2*j + 4*k + 2. Factor 5*m**j + 2*m**2 + 12 - 38*m - 22 - 14.
(m - 6)*(7*m + 4)
Let r be -1 + -6 + 26 + (-3)/(-1). Suppose 4*y = -6 + r. Factor 12*k**5 - 48 + 170*k**3 + 243*k - 219*k**2 - 33*k**y - 9*k**5 - 41*k**3 - 75*k.
3*(k - 4)**2*(k - 1)**3
Suppose -2*s - 6 + 16 = 0. Suppose 5*k + 0 = -s, -2*p + 3*k = -9. Factor 15*v**4 - 4*v**2 + 2*v**2 + 5*v**p - v**2 - 7*v**2.
5*v**2*(v + 1)*(3*v - 2)
What is z in 13353/4*z**2 + 3/4*z**5 + 2601/4*z**3 + 159/4*z**4 + 4761 + 6762*z = 0?
-23, -3, -2
Let 