 - o*x**4 + 0*x**2. Suppose s(v) = 0. What is v?
-1/5, 0, 1
Let k be (5 + 0)*(0 - 1). Let n(g) = 3*g**2 - 5*g - 7. Let v(d) = -10*d - 13*d + 12*d**2 - 6*d - 27 + 8*d. Let b(a) = k*v(a) + 21*n(a). Factor b(w).
3*(w - 2)*(w + 2)
Let r be (((-3)/(-12))/(30/(-144)))/(288/(-900)). Solve -r*s - 1/4*s**3 - 9/4 - 7/4*s**2 = 0 for s.
-3, -1
Let z(m) = -1455*m + 103310. Let p be z(71). Find j, given that 3/11 + 2/11*j**3 - 1/11*j**p - 1/11*j + 3/11*j**4 - 6/11*j**2 = 0.
-1, 1, 3
Let w = 1063 + -1185. Let k = -119 - w. Suppose -1/3*d**k + 1/3*d + 0*d**2 + 0 = 0. What is d?
-1, 0, 1
Let c(x) be the third derivative of -x**5/330 + 5*x**4/66 + 48*x**3/11 + 7*x**2 + 24*x. Factor c(v).
-2*(v - 18)*(v + 8)/11
Let a(b) be the second derivative of -50*b**2 - 13/10*b**5 - 95/3*b**3 + 65*b - 19/2*b**4 - 1/15*b**6 + 0. Factor a(z).
-2*(z + 1)*(z + 2)*(z + 5)**2
Let f(z) = 3*z**3 + 16*z**2 + 123*z + 68. Let o(q) = -q**3 - 31*q - 1. Let w(s) = -5*f(s) - 10*o(s). Solve w(a) = 0 for a.
-11, -3, -2
Let s(c) be the first derivative of 3/4*c**4 + 21/2*c**2 + 137 - 9*c - 5*c**3. Factor s(w).
3*(w - 3)*(w - 1)**2
Suppose -47*m = -104*m + 570. Let s be (-285)/(-270) + m/(-45). Factor 845/6 + 65/3*n + s*n**2.
5*(n + 13)**2/6
Find o, given that -o + 67*o**2 + 26 + o**3 - 23 - 61 - 9*o**2 = 0.
-58, -1, 1
Let j = -96 + 97. Let s(w) = 2*w**2. Let v be s(j). Find l such that -8*l**2 - 56 + 2*l**v - 6*l + 21*l + 50 = 0.
1/2, 2
Let m(g) = g**2 + g - 1. Let f be (-6)/3*(2 - 3/2). Let a(s) = -s**3 - 11*s**2 - 13*s + 3. Let c(l) = f*a(l) - 6*m(l). Factor c(i).
(i + 1)**2*(i + 3)
Let r(w) be the first derivative of -2*w**3/21 - 4066*w**2/7 - 8266178*w/7 + 14810. Factor r(t).
-2*(t + 2033)**2/7
Let n(g) be the third derivative of -g**6/540 - 17*g**5/270 + 5*g**4/27 + 4*g**3/3 - g**2 + 514. Solve n(q) = 0 for q.
-18, -1, 2
Let b(v) be the third derivative of -v**7/105 - 11*v**6/30 + 73*v**5/30 - 25*v**4/6 - 1323*v**2. Determine u, given that b(u) = 0.
-25, 0, 1, 2
Let s be (-2)/15 + (-10013)/(-285). Factor -10*q**2 + s*q**3 - 12 + 0*q**3 - 1 + 23 - 35*q.
5*(q - 1)*(q + 1)*(7*q - 2)
Suppose 5*a - 4769*m = -4764*m + 40, -4*a + 29 = -3*m. Let -3/2 + 1/2*d**4 + 29*d**2 - 8*d + 4*d**a - 24*d**3 = 0. Calculate d.
-3, -1/8, 1
Suppose -184 = 6*v - 2*v. Let i = -43 - v. Factor -2*s**i + 3*s + s + 8 - 2*s**2 + 4*s.
-2*(s - 2)*(s + 1)*(s + 2)
Suppose 514*o + 173 = -1021*o + 541 + 2702. Factor 16/3 + 1/3*v**o - 17/3*v.
(v - 16)*(v - 1)/3
Let p = -664/481 + 330/37. Suppose 994*x + 583*x - 4734 = 153*x - 943*x. Determine f so that -2/13*f**x - p + 28/13*f = 0.
7
Let u(g) = 15*g**2 - 2160*g + 4. Let q be u(144). Factor -2/7*t**q - 2/7*t**3 - 22/7*t + 18/7*t**2 + 8/7.
-2*(t - 1)**3*(t + 4)/7
Let w(y) = y**2 - 3*y - 3. Let l(f) = -2*f**2 - 15*f + 7*f**2 - 3*f**2 + 16*f. Let n(p) = 4*l(p) - 4*w(p). Factor n(z).
4*(z + 1)*(z + 3)
Suppose 1374*y - 4984 = 234*y + 24656. Find l such that 1/2*l**4 - 14 - 27/2*l**2 + y*l + l**3 = 0.
-7, 1, 2
Let o = 83 - 74. Solve 2318*w + o*w**2 - 5*w**3 - w**2 - 2322*w + w**4 = 0.
0, 1, 2
Let x(l) = 10*l**2 - 7055*l - 2541860. Let a(y) = -y**2 - 5*y + 1. Let f(m) = 15*a(m) + x(m). Factor f(q).
-5*(q + 713)**2
Let v(p) be the second derivative of -5/6*p**4 + 20*p**2 + 0 + 6*p + 7/6*p**3. Let b(o) = 5*o**2 - 3*o - 20. Let i(s) = -7*b(s) - 3*v(s). Solve i(c) = 0.
-2, 2
Let v = -150 + 155. Let k(r) = -r. Let c(f) = f**2 - 15*f - 11. Let i(a) = v*k(a) - c(a). Factor i(t).
-(t - 11)*(t + 1)
Let v be 91504/288 + -3*(-6)/(-81). Let a = v - 317. Find q, given that 0 + q - a*q**2 - 1/2*q**3 = 0.
-2, 0, 1
Let f(t) = 4*t**5 + t**4 - 155*t**3 - 104*t**2 + 681*t. Let r(z) = -z**5 + 5*z**4 - 2*z**3 - z. Let g(m) = -f(m) - 5*r(m). Factor g(i).
i*(i - 13)**2*(i - 2)*(i + 2)
Let n(o) = 2*o + 21. Let s be n(-11). Let q be (-4 - -5)*(s - -3). Solve -3*k**3 - 5*k**q + 17*k - 14*k + 6*k**4 - k**2 = 0.
-1, 0, 1/2, 1
Let o(w) be the first derivative of 62 - 1/17*w**2 + 1/34*w**4 + 2/51*w**3 - 2/17*w. Suppose o(z) = 0. Calculate z.
-1, 1
Suppose 3*c = -2*p + 59, -7*p - 24*c = -23*c - 178. Let f(r) be the first derivative of 0*r + p + 2/3*r**2 + 4*r**4 - 38/9*r**3. Factor f(w).
2*w*(3*w - 2)*(8*w - 1)/3
Factor 0 - 1/4*i**3 + i**2 - 3/4*i.
-i*(i - 3)*(i - 1)/4
Let r(j) be the first derivative of -j**8/168 - 13*j**7/210 - j**6/20 - 13*j**2 + 31. Let t(d) be the second derivative of r(d). Suppose t(q) = 0. Calculate q.
-6, -1/2, 0
Let m(j) be the second derivative of -j**4/84 - 529*j**3/42 + 265*j**2/7 - 7521*j. Factor m(i).
-(i - 1)*(i + 530)/7
Let x(q) = 5*q**3 - 9*q**2 + q - 9. Let o be x(-5). Let c = -6042/7 - o. Solve 2/7*k**5 - c*k**4 + 6/7*k**2 + 0*k + 0 - 2/7*k**3 = 0 for k.
-1, 0, 1, 3
Let f be (-8 - -2 - -4)*1. Let w be (4/(-6))/(f + (-34)/(-18)). Suppose -w*m**3 - 5*m**3 + 3*m**3 + m**4 + 4*m**2 + 3*m**4 = 0. Calculate m.
0, 1
Suppose 6 = 183*l - 181*l. Find w, given that -75*w**2 + 38*w**l + 7*w**3 + 41*w + 12*w**5 + 18 - 216*w + 118*w + 57*w**4 = 0.
-3, -2, -1, 1/4, 1
Let s = -520 - -714. Factor s*k**4 - 7 + 380*k**2 + 7 - 204*k**3 - 174*k**4 - 228*k + 32.
4*(k - 8)*(k - 1)**2*(5*k - 1)
Let r(n) = -2*n**2 - 13*n - 65. Let s be (-119)/21 - ((-12)/(-9) + -2). Let h(a) = -3*a**2 - 15*a - 66. Let z(p) = s*h(p) + 6*r(p). Suppose z(l) = 0. What is l?
-4, 5
Let j(u) = -5*u**5 + 151*u**4 - 473*u**3 - 453*u**2 + 2244*u. Let z(h) = -h**4 - 2*h**3 - 2*h**2 + h. Let d(i) = -j(i) - 6*z(i). Find q such that d(q) = 0.
-2, 0, 3, 25
Factor -22/9*s**3 + 4 + 2/9*s**4 - 10*s + 74/9*s**2.
2*(s - 6)*(s - 3)*(s - 1)**2/9
Let w(j) be the first derivative of -j**4 + 92*j**3/9 - 385*j**2/18 + 50*j/3 - 2464. What is u in w(u) = 0?
5/6, 6
Let m(w) be the third derivative of w**6/360 + 4*w**5/15 + 31*w**4/24 + 23*w**3/9 - 5119*w**2 - 1. Factor m(i).
(i + 1)**2*(i + 46)/3
Let t(h) be the first derivative of -5*h**4/8 - 6175*h**3/6 - 1909615*h**2/4 - 1903445*h/2 - 6024. Let t(r) = 0. Calculate r.
-617, -1
Let q(x) be the third derivative of -x**5/150 + 117*x**4/2 - 205335*x**3 + 2597*x**2. Find o, given that q(o) = 0.
1755
Let v(a) be the second derivative of 0*a**2 - 6*a - 5 - 21/4*a**5 + 3/2*a**6 - 5*a**3 - 5/42*a**7 + 95/12*a**4. Factor v(b).
-5*b*(b - 6)*(b - 1)**3
Let g(v) be the first derivative of -2*v**6/3 + 24*v**5/5 + 1180. Suppose g(b) = 0. What is b?
0, 6
Suppose -3*s = -0*s - 15. Let b = 233/132 - 167/132. Factor 0*q + 0*q**2 - 1/8*q**s + 0 - 1/2*q**3 + b*q**4.
-q**3*(q - 2)**2/8
Let o be 0/(-3 + 0/(-1)) - -2. Let z = -7233/5 - -1447. Factor 2/5 + z*q - 4/5*q**o.
-2*(q - 1)*(2*q + 1)/5
Let b(o) be the second derivative of 10 + 25/11*o**2 + 10/33*o**3 - 2*o + 1/66*o**4. Factor b(m).
2*(m + 5)**2/11
Let p be (-43)/((-6192)/3488) - 24. Factor -52/9*k + 338/9 + p*k**2.
2*(k - 13)**2/9
Determine b, given that 1118*b + 84*b**3 - 822 - 528*b**2 + b**4 + 102 - 46*b = 0.
-90, 2
Let a(g) be the third derivative of g**8/1344 - 11*g**7/504 - g**4/8 + g**3 - g**2 + 5. Let m(f) be the second derivative of a(f). Factor m(p).
5*p**2*(p - 11)
Let c(n) be the first derivative of 2/45*n**3 + 6/5*n - 2/3*n**2 + 56. Factor c(d).
2*(d - 9)*(d - 1)/15
Let z(b) be the first derivative of -3*b**4/4 - 37*b**3 - 693*b**2/2 + 6615*b - 4588. Determine u so that z(u) = 0.
-21, 5
Let l(h) be the third derivative of h**5/15 + 281*h**4/3 + 157922*h**3/3 - 456*h**2 + h. Factor l(u).
4*(u + 281)**2
Let q(w) be the third derivative of -w**6/200 + 37*w**5/100 - 39*w**4/8 + 279*w**3/10 + 1014*w**2. Let q(z) = 0. Calculate z.
3, 31
Factor 0 - 33/2*h**2 - 5/2*h**3 - 27/2*h + 1/2*h**4.
h*(h - 9)*(h + 1)*(h + 3)/2
Let q(g) be the first derivative of 6*g**5/5 + 5*g**4/2 + 25*g**3/12 - 77*g**2/2 + 28. Let n(u) be the second derivative of q(u). Factor n(v).
(12*v + 5)**2/2
Factor 2868/5*h - 1028178/5 - 2/5*h**2.
-2*(h - 717)**2/5
Determine g, given that -12482/5 - 1/10*g**2 - 158/5*g = 0.
-158
Let p(a) = -8*a**2 - 5420*a - 1468814. Let n(y) = -55*y**2 - 37940*y - 10281700. Let m(v) = 3*n(v) - 20*p(v). Solve m(j) = 0 for j.
-542
Let c(h) be the third derivative of h**7/280 + 3*h**6/20 + 33*h**5/16 + 121*h**4/16 - 19*h**2 - h. Factor c(b).
3*b*(b + 2)*(b + 11)**2/4
Let q(i) be the first derivative of -i**3/3 + i**2/2 - 9*i - 43. Let p(n) = n - 8. Let b(r) = 3*p(r) - 2*q(r). Factor b(l).
(l + 2)*(2*l - 3)
Let v(x) = -1123 + 3*x + 0*x**2 - x**2 + 1130. 