8*c - 959. Let s(v) = 0. What is v?
1, 209
Let d(a) be the third derivative of a**7/420 - 1791*a**6/80 + 3207681*a**5/40 - 1914985557*a**4/16 + 1573*a**2 + a. Solve d(g) = 0 for g.
0, 1791
Let w = -2/480565 - -18261476/1441695. Solve -2/3*h**2 + w*h + 0 = 0.
0, 19
Let c be -4 + (1*-36)/(-4). Determine f, given that -27*f + f**3 - 24*f + 51*f - f**c = 0.
-1, 0, 1
Let c = -2843287/17 + 167253. Let 40/17*l**2 - c*l - 56/17*l**4 - 8/17*l**5 + 0 + 6/17*l**3 = 0. Calculate l.
-7, -1, 0, 1/2
Let w(u) be the second derivative of -u**7/42 + u**6/2 - 69*u**5/20 + 97*u**4/12 - 7*u**3 - 1257*u. Suppose w(c) = 0. What is c?
0, 1, 6, 7
Let j(m) = 78*m**2 - 34*m**2 - 42*m**2 - m + 1. Let r(v) = 18*v**2 - 12*v + 11. Let q(f) = -44*j(f) + 4*r(f). Determine p so that q(p) = 0.
-1/4, 0
Let b(r) be the third derivative of -r**5/240 - 287*r**4/48 - 82369*r**3/24 - 2*r**2 + 122. Let b(n) = 0. Calculate n.
-287
Let r = 125308/348855 + -2/8945. Let c(a) be the second derivative of 0 - 6*a + 1/78*a**4 - r*a**3 + 49/13*a**2. Find y, given that c(y) = 0.
7
Let i(z) be the second derivative of 0 + 33/2*z**2 + 1/12*z**5 - 5/12*z**4 - 9*z + 5/6*z**3. Let a(w) be the first derivative of i(w). Factor a(m).
5*(m - 1)**2
Let f(v) be the second derivative of -v**6/6 + 37*v**5/2 + 1205*v**4/4 + 4930*v**3/3 + 4150*v**2 - 15798*v. Suppose f(r) = 0. What is r?
-5, -2, 83
Let z(h) = -5*h**2 - h. Let x(q) = q**3 + 6*q**2 - 162*q + 160. Let d(k) = -x(k) + 6*z(k). Factor d(t).
-(t - 2)**2*(t + 40)
Let s(l) = -5*l**3 + 187*l**2 - 182*l - 12. Let d(z) = -54 - 549*z + 365*z + 749*z**2 - 20*z**3 - 545*z. Let n(g) = 2*d(g) - 9*s(g). Factor n(y).
5*y*(y - 36)*(y - 1)
Suppose -60 = -12*j - 36. Let d(p) be the second derivative of 1/15*p**6 + 0*p**4 + 19*p + 0 + 4/3*p**3 + 0*p**j - 3/10*p**5. Find k such that d(k) = 0.
-1, 0, 2
Suppose 0 = 4*m - h - 15 + 1, -19 = -3*m + 5*h. Factor -n**2 - m*n**2 - n**2 - 30*n + 20*n.
-5*n*(n + 2)
Let v(b) = -64*b**3 - b**2 + 2*b + 1. Let u be v(-1). Suppose 4*k + u = 5*c, 2*c - 28 - 1 = 3*k. Factor 8*w**2 - 9*w**3 - 12*w**2 + 3*w**4 + c*w**2.
3*w**2*(w - 2)*(w - 1)
Let i(u) be the first derivative of u**5/105 + 11*u**4/42 + 20*u**3/21 - 67*u**2 + 65. Let n(k) be the second derivative of i(k). Suppose n(s) = 0. What is s?
-10, -1
Let f be (40/(-360))/((-2)/54). Factor 39*s - 2*s**4 - f*s**4 + 63*s + 40*s**3 + 155*s**2 + 8*s.
-5*s*(s - 11)*(s + 1)*(s + 2)
Let o(w) = 3*w + 0*w**3 + 0*w + 2*w**3 + 0*w - 14*w**2 + 10 - 9*w. Let m(n) = 1 + 5*n**3 - 4*n**3 + n**2 + n + 0*n**2. Let i(l) = 2*m(l) + o(l). Solve i(k) = 0.
-1, 1, 3
Let c(g) be the first derivative of g**4/34 + 12*g**3/17 - 4*g**2/17 - 144*g/17 + 1184. Factor c(k).
2*(k - 2)*(k + 2)*(k + 18)/17
Factor -4043*g**2 + 4636 - 1576 + 4045*g**2 - 158*g.
2*(g - 45)*(g - 34)
Let i(f) be the second derivative of f**6/30 + 13*f**5/20 + 19*f**4/12 - 11*f**3/2 + f + 4113. Determine q so that i(q) = 0.
-11, -3, 0, 1
Let t(s) = 2*s**3 + 99*s**2 - 32*s + 902. Let k be t(-50). Factor 8/3 + 4/9*h**3 - 8/9*h**k - 20/9*h.
4*(h - 3)*(h - 1)*(h + 2)/9
What is o in 3/8*o**2 - 99/8*o + 399/4 = 0?
14, 19
Find f such that -605/2*f + 5/2*f**3 - 15/2*f**2 - 585/2 = 0.
-9, -1, 13
Let f(b) = b**3 - 2*b**2 + 60*b - 263. Let k be f(4). Let c be ((-2)/(-12))/((-8)/(-12)). Let k - 3*x + c*x**2 = 0. Calculate x.
6
Let t(b) be the first derivative of 4*b**3/3 + 116*b**2 + 3364*b + 4401. Factor t(d).
4*(d + 29)**2
Suppose 1202*s - f - 14 = 1199*s, 392 = -5*s - 28*f. Suppose -2/15*u**5 + 2/15*u**2 + 2/5*u**4 - 2/5*u**3 + 0 + s*u = 0. Calculate u.
0, 1
Suppose -24671*z**3 - 102*z**4 - 4*z**5 + 9072*z - 2700*z**2 - 5184 + 23588*z**3 + z**5 = 0. What is z?
-12, 1
Let w = 2174312/9 + -241584. Factor -98/9*y**2 - 8/9 + w*y.
-2*(7*y - 2)**2/9
Let m(n) = -44*n**3 + 11230*n**2 - 11200*n + 14. Let j(k) = 31*k**3 - 7487*k**2 + 7466*k - 10. Let h(r) = 7*j(r) + 5*m(r). Determine q so that h(q) = 0.
0, 1, 1246
Let a be (-9)/(-8)*((-37178)/435 + 86). Factor a*f**2 - 54/5*f + 51/5.
3*(f - 17)*(f - 1)/5
Let t(a) be the first derivative of a**5/100 + 2*a**4/5 + a**2 + 237*a + 187. Let s(p) be the second derivative of t(p). Factor s(i).
3*i*(i + 16)/5
Suppose -20 = 10*h + 30. Let q be 4/h - (575/375 - 3). Factor 8/3 + q*u**2 - 8/3*u.
2*(u - 2)**2/3
Find l such that -75 + 495*l - 687/4*l**2 - 4257/2*l**3 - 5547/4*l**4 = 0.
-1, 10/43
Let b(g) be the first derivative of 4*g**5/15 - 27*g**4/2 - 262*g**3/3 - 536*g**2/3 - 120*g - 156. What is h in b(h) = 0?
-2, -1/2, 45
Let d(w) be the second derivative of 1/20*w**5 + 80*w**2 - 33/10*w**4 + 64*w**3 - 206*w + 0. What is l in d(l) = 0?
-2/5, 20
Let w(g) be the second derivative of -g**7/840 - 7*g**6/180 - 4*g**5/15 + 16*g**4/3 - 64*g**3/3 + 160*g. Let z(m) be the second derivative of w(m). Factor z(t).
-(t - 2)*(t + 8)**2
Let c(a) be the third derivative of a**6/40 + 19*a**5/20 - 11*a**4/4 - 20*a**3 + 143*a**2 - 2. Determine t, given that c(t) = 0.
-20, -1, 2
Find p, given that -45*p + 28*p + 24*p - 5*p + 2*p**2 = 0.
-1, 0
Suppose 97*i - 120 = -48*i + 315. Let q(z) be the first derivative of -1/9*z**4 - 16/9*z + 1/45*z**5 + 13 + 8/9*z**2 + 0*z**i. Let q(d) = 0. What is d?
-2, 2
Let j = -104429/3 + 34813. Solve -16/3 - 2/3*s**3 - 4/3*s + j*s**2 = 0.
-1, 2, 4
Let q(j) be the third derivative of 0 - 4/9*j**3 - 4/45*j**5 - 4*j**2 - 4*j + 5/18*j**4 + 1/90*j**6. Determine k so that q(k) = 0.
1, 2
Let p(v) = v**2 - 2*v - 6. Let t be p(4). Suppose -4*o = 0, t = 3*l - 3*o - 4. Factor 12/5 + 3/5*g**l + 3*g.
3*(g + 1)*(g + 4)/5
Let s be 90 + ((-5)/((-5)/6) - 4). Find h, given that -16*h**5 - 136*h**2 - 32*h**4 + 50*h**5 - 16*h**5 - 96*h**3 - 10*h**5 - 12*h**5 - s*h - 24 = 0.
-3, -2, -1
Let m(l) be the first derivative of -8*l**5/9 - 929*l**4/6 + 404*l**3/3 - 280*l**2/9 + 2667. Find q, given that m(q) = 0.
-140, 0, 1/4, 2/5
Let n(t) be the third derivative of -t**7/1365 - t**6/260 + 4*t**5/65 - 7*t**4/39 - 209*t**2. Factor n(f).
-2*f*(f - 2)**2*(f + 7)/13
Let y(i) = 12*i**2 + 21*i - 15. Let v(w) = -3*w**2 - 5*w + 4. Let n = -106 - -106. Let r be (0 - -2)*1 - n. Let x(d) = r*y(d) + 9*v(d). Factor x(o).
-3*(o - 1)*(o + 2)
Determine u so that -89 - 131 + 112 - 32*u**3 + 72*u**2 + 4*u**4 = 0.
-1, 3
Solve -24*z**3 + 69*z**3 + 56*z**4 - 73*z**3 - 352 - 4*z**5 - 136*z**2 + 560*z - 63*z**3 - 33*z**3 = 0 for z.
-2, 1, 2, 11
Let g = -716 - -1472. Let j = -1499/2 + g. Find w, given that -j*w - w**2 - 3 = 0.
-6, -1/2
Let -2/11*s**5 - 170/11 - 466/11*s - 4*s**3 + 38/11*s**4 - 380/11*s**2 = 0. What is s?
-1, 5, 17
Factor -f**5 + 316287*f**4 - 5*f**5 - 316245*f**4 - 184*f**3 + 7*f**5.
f**3*(f - 4)*(f + 46)
Find v, given that 2*v**4 - 326*v**2 + 31*v**2 - 546*v - 190*v**3 + 739*v**2 + 290*v**2 = 0.
0, 1, 3, 91
Let y(z) = z**2 - 24*z + 26. Let b be y(23). Factor s**5 + 4*s**b - 9*s**3 + 49*s**4 - 45*s**4.
s**3*(s - 1)*(s + 5)
Let t = 87 + -85. Determine g so that -10*g**4 + g**2 + 31*g**3 + 5*g**2 - 6*g - 4*g**t - 3*g**2 = 0.
-2/5, 0, 1/2, 3
Let a(f) be the first derivative of f**5/5 + 23*f**4/4 - f**3 - 67*f**2/2 + 46*f + 4274. Factor a(y).
(y - 1)**2*(y + 2)*(y + 23)
Let f = -341 - -350. Suppose 2*u - 1 = 4*z - 11, -5*u - 7 = -z. Factor 6*w**4 - 4*w**2 - f*w**4 - 4*w**3 + z*w**4.
-w**2*(w + 2)**2
Let y = -11 - -94. Let h = y - 75. Factor -2*g**2 - 2*g**3 + 2*g + h*g - 8*g + 2.
-2*(g - 1)*(g + 1)**2
Let c be (-666)/(-48)*52/(-39). Let p = 115/6 + c. Determine w so that 5/3*w + p - 7/3*w**2 = 0.
-2/7, 1
What is i in 352/3 - 676/3*i**3 + 1520*i + 4888*i**2 = 0?
-2/13, 22
Find c such that -146*c**2 + 298*c**2 - 220 + 974 - 153*c**2 - 45*c = 0.
-58, 13
Let v(w) = -w**3 + 86*w**2 - 764*w + 306. Let g be v(76). Suppose 0*z**g + 0*z + 20/3*z**4 - 5*z**3 + 0 - 5/3*z**5 = 0. What is z?
0, 1, 3
Let g(s) = -2*s**3 + 6*s**2 - s. Suppose -13*l - 9 = -10*l. Let z(t) = 2*t**3 - 5*t**2. Let w(a) = l*z(a) - 2*g(a). Solve w(j) = 0.
-1/2, 0, 2
Let t(c) = -9*c + 39. Let y be t(4). Suppose 2*n + 10 = 5*u, -y*n = u - 4 + 2. Find a such that a + 1/3*a**u + 0 = 0.
-3, 0
Let z(s) = -2*s**3 + 8*s**2 + 6*s + 20. Let k(q) be the second derivative of q**4/12 - q**3/6 + q**2/2 - q + 15. Let o(h) = 8*k(h) - z(h). Solve o(d) = 0.
-2, -1, 3
Let m(j) be the third derivative of 1/216*j**4 + 0 - j**2 - 1/540*j**5 - 16*j + 1/9*j**3. Factor m(h).
-(h - 3)*(h + 2)/9
Factor -106*