 0.
-1, 67
Suppose -19*v + 53*v + 136 = 0. Let i be (-7 - (-376)/48)*(-18)/v. Solve 5/4*r**3 + 15/4 - 5/4*r - i*r**2 = 0.
-1, 1, 3
Let a be (-18)/2 + 39402/24. Let j = a - 1632. Factor -1/4*f**3 + 0*f + 0 - j*f**2.
-f**2*(f + 3)/4
Let w(j) = j**3 - 19*j**2 + 308*j - 2687. Let p be w(12). Factor -10/3*k - 7/3*k**2 - p.
-(k + 1)*(7*k + 3)/3
Determine h so that 134*h**3 - 480 - 370*h + 69*h**3 + 765*h**2 - 3*h**3 - 15*h**4 - 100*h**2 = 0.
-3, -2/3, 1, 16
Let s(r) be the third derivative of -r**5/300 - 134*r**4/15 + 1073*r**3/30 - 3*r**2 - r - 1146. Factor s(n).
-(n - 1)*(n + 1073)/5
Let g = -5/21022 - -252299/147154. What is z in -45/7*z**2 + 9/7 + 24/7*z + g*z**3 = 0?
-1/4, 1, 3
Let n(o) be the second derivative of 1/42*o**4 + 0*o**2 + 0 + 49*o + 6/7*o**3. Suppose n(a) = 0. Calculate a.
-18, 0
Let t(u) = u - 4. Let d be t(-5). Let r be 2/d + (-58)/(-18). Solve 36*s**3 - 3*s**3 + 35*s**2 + 5*s + 42*s**r + 65*s**4 + 20*s**5 = 0 for s.
-1, -1/4, 0
Let s(h) = 17*h**3 - 6*h**2 - 29*h - 70. Let d(r) = 2*r**3 - 2*r**2 - 5*r. Let n(y) = -40*d(y) + 5*s(y). Factor n(m).
5*(m - 2)*(m + 5)*(m + 7)
Let n(a) be the second derivative of -a**6/6 - a**5 - 5*a**4/4 + 10*a**3/3 + 10*a**2 - 3427*a. Determine g, given that n(g) = 0.
-2, -1, 1
Let w(r) = 4*r - 2. Let a(h) = h**2 + 16*h - 9. Suppose s = 18*d - 22*d - 34, 5*d + 4*s = -37. Let n be 2*2/(-4)*-2. Let g(z) = d*w(z) + n*a(z). Factor g(b).
2*b*(b - 2)
Let d(v) = -12*v**3 - 4*v**2 - 4*v - 64. Let t be d(-6). Solve -2749 + 396 - t + 138*x - x**2 = 0.
69
Let t(k) be the third derivative of -k**6/120 - 7*k**5/10 - 39*k**4/8 - 269*k**2. Factor t(d).
-d*(d + 3)*(d + 39)
Let b be (5 + -3)*(391/408)/23. Let x(j) be the first derivative of 1/3*j**3 - j + 1/6*j**2 - b*j**4 + 25. Let x(y) = 0. What is y?
-1, 1, 3
Let x be (1/4)/((30/(-72))/(-5)). Let a(i) be the second derivative of 1/15*i**x - 1/100*i**5 + 0*i**2 + 4*i - 1/60*i**4 + 0. Suppose a(y) = 0. Calculate y.
-2, 0, 1
Suppose 13*d - 18*d = t + 45, -117 = -5*t + 13*d. Solve 34/3*x**3 + t - 20*x**2 + 0*x - 2/3*x**4 = 0 for x.
0, 2, 15
Let w(k) = k**3 - 4*k**2 + 4*k. Let i(z) = 5*z**2 - 5*z. Let b be 5 + 120/(-14) - 9/21. Let p(y) = b*i(y) - 5*w(y). Factor p(n).
-5*n**3
Factor -6*i**2 - 3*i**3 - 14847*i - 76 - 248 + 15180*i.
-3*(i - 9)*(i - 1)*(i + 12)
Let g(t) = t**3 - 2*t**2 - t + 1. Let y(h) = 3*h**2 - 3*h - 3. Let j = -170 - -171. Let v(m) = j*y(m) + 3*g(m). What is o in v(o) = 0?
-1, 0, 2
Let z(s) be the third derivative of -s**8/5040 - 2*s**7/189 - 217*s**4/24 + 14*s**2 - 4. Let l(n) be the second derivative of z(n). Factor l(k).
-4*k**2*(k + 20)/3
Let l(b) = 2*b + 545*b**2 - 273*b**2 + 1 - 270*b**2. Let d(q) = 100*q**2 - 264*q + 42. Let y(g) = -d(g) + 6*l(g). Let y(c) = 0. What is c?
3/22, 3
Let o = 1761 - 1756. Let d(t) be the second derivative of 0 + 6*t**2 - 9/20*t**o + 11/4*t**4 - 6*t**3 + 9*t. Factor d(n).
-3*(n - 2)*(n - 1)*(3*n - 2)
Let p be -1*2 + ((-36)/30)/1*-5. Let x(y) be the second derivative of 0*y**2 + 1/8*y**p + 0 + 19*y - 1/2*y**3. Factor x(o).
3*o*(o - 2)/2
Factor 2*k**5 + 512*k**2 - 30*k + 10*k - 57*k**3 - 17*k**4 - 3*k**5 - 571*k**2 + 2*k**5.
k*(k - 20)*(k + 1)**3
Let d(n) be the first derivative of n**4/16 - n**3/2 - n**2/2 + 6*n - 999. Determine a so that d(a) = 0.
-2, 2, 6
Let a(z) be the second derivative of -z**7/252 - 11*z**6/180 + z**5/60 + 11*z**4/36 - z**3/36 - 11*z**2/12 + 166*z. Find r, given that a(r) = 0.
-11, -1, 1
Let b(n) be the first derivative of -1/19*n**6 - 55 + 5/19*n**2 + 4/19*n - 4/19*n**5 - 5/19*n**4 + 0*n**3. Factor b(d).
-2*(d + 1)**4*(3*d - 2)/19
Let d(l) be the third derivative of 0*l + 1/2*l**3 - 3 + 11/96*l**4 + 34*l**2 - 1/240*l**5. Factor d(u).
-(u - 12)*(u + 1)/4
Let p(j) be the third derivative of j**7/840 + 3*j**6/80 + 113*j**5/240 + 25*j**4/8 + 12*j**3 + 254*j**2 - 1. Factor p(y).
(y + 3)**2*(y + 4)*(y + 8)/4
Let w(g) be the second derivative of 143383475*g**5/6 - 801025*g**4/2 + 2685*g**3 - 9*g**2 - 291*g + 13. Solve w(j) = 0.
3/895
Solve -577/4*k - 579/2 + 1/4*k**2 = 0.
-2, 579
Let c be (-8506)/(-20) - (8 - 76/8). Let s = c + -426. Solve -s*r + 0 + 1/5*r**2 = 0 for r.
0, 4
Suppose 85*r - 726 = -36*r. Let n(t) be the second derivative of -1/120*t**6 + 0*t**3 + 0 + 1/48*t**4 - 1/80*t**5 + 1/168*t**7 + r*t + 0*t**2. Factor n(h).
h**2*(h - 1)**2*(h + 1)/4
Suppose -2*d = -3*m - 82, -3*d + 2*m - 22 = -150. Let j = 46 - d. Suppose -13 + 36*l - 39*l**j - 22 + 47 - 63*l**3 = 0. What is l?
-1, -2/7, 2/3
Let t = 68667 + -1716633/25. What is n in 2/25*n**2 + 8/25*n - t = 0?
-7, 3
Suppose 7*r + 5*r - 5316 = 0. Suppose r*t + 287*t + 4*t**2 + 26645 + t**2 = 0. What is t?
-73
Let b(z) = -15*z**4 - 112*z**3 - 106*z**2 + 1591*z + 7. Let x(j) = -8*j**4 - 56*j**3 - 52*j**2 + 796*j + 4. Let u(g) = -4*b(g) + 7*x(g). Factor u(y).
4*y*(y - 3)*(y + 6)*(y + 11)
Let t(d) = d**3 - 352*d**2 + 6335*d - 149. Let a be t(19). Let b be 2/5 - 54/(-15). Let -b*f + 13/2*f**2 + 1/2 - 3*f**a = 0. What is f?
1/6, 1
Factor 16*b**2 - 268 - 84*b - 20*b**2 + 3284 + 824 + 148*b.
-4*(b - 40)*(b + 24)
Let r(n) be the first derivative of n**3/27 - 131*n**2/18 - 44*n/3 + 1293. Factor r(g).
(g - 132)*(g + 1)/9
Let p(o) be the second derivative of o**6/6 - 15*o**5/4 + 95*o**4/4 - 365*o**3/6 + 75*o**2 - 68*o - 35. Suppose p(t) = 0. What is t?
1, 3, 10
Suppose 2*u + 5*u = -13*u. Factor -76*f - 1 + u - 45*f**2 - 19 + 11*f.
-5*(f + 1)*(9*f + 4)
Suppose 2*h = 305 - 229. Suppose 21 - 34*r + 15*r + h*r + 47*r + 30*r**3 + 72*r**2 + 3*r**4 = 0. Calculate r.
-7, -1
Let w = 13877/46990 + 22/4699. Let 11/10*i - 2/5*i**5 + 9/2*i**2 - 3/5 - w*i**4 + 29/10*i**3 = 0. What is i?
-2, -1, 1/4, 3
Let w(d) be the third derivative of d**6/60 - 37*d**5/15 - 151*d**4/12 - 76*d**3/3 - 3*d**2 - d. Factor w(y).
2*(y - 76)*(y + 1)**2
Suppose h - 258 = -p + 21, h = p - 285. Determine d so that 282*d - p*d - 3*d**4 = 0.
0
Let s(y) be the first derivative of 4*y**5/5 + 59*y**4 + 1680*y**3 + 23328*y**2 + 158976*y + 1228. Solve s(l) = 0 for l.
-23, -12
Factor 5592 + 17514*q - 62218*q + 2815 + 537 + 36*q**3 + 55820*q**2 + 64*q**3.
4*(q + 559)*(5*q - 2)**2
Let d = -272 - -278. Let y be ((-22)/693*d)/((-4)/3). Solve -4/7 + 8/7*a - 5/7*a**2 + y*a**3 = 0.
1, 2
Let q(g) be the second derivative of g**5/90 + 23*g**4/54 - 32*g**3/27 - 256*g**2 - 3988*g. Find c, given that q(c) = 0.
-16, 9
Solve 207 + 210*m + 219/4*m**2 + 3/4*m**3 = 0.
-69, -2
Find l such that 200/3*l**3 + 16/3*l**4 + 292/3*l + 219*l**2 + 35/3 = 0.
-7, -5, -1/4
Let m(r) be the second derivative of -r**4/24 - 1259*r**3/3 - 1585081*r**2 + 20*r + 14. Factor m(f).
-(f + 2518)**2/2
Let w be ((-248)/93)/((-20)/15). Let z(s) be the first derivative of 0*s - 4/3*s**3 + 12 + s**w + 1/2*s**4. Suppose z(i) = 0. Calculate i.
0, 1
Let s(r) be the third derivative of r**7/105 - 12*r**6/5 + 1629*r**5/10 + 5365*r**4/3 + 5476*r**3 - r**2 + 20*r + 3. Solve s(j) = 0.
-3, -1, 74
Let j(c) = -23*c + 3 + c**2 + 2*c**3 - 2*c**2 + 39*c - 16*c. Let z(u) = -17*u**3 - 39*u**2 + 25*u + 27. Let a(p) = -j(p) - z(p). Factor a(s).
5*(s - 1)*(s + 3)*(3*s + 2)
Let g(k) be the third derivative of -41*k**5/140 + 45*k**4/56 - 2*k**3/7 - 1378*k**2. Find r such that g(r) = 0.
4/41, 1
Suppose -66/7*c + 69/7*c**2 + 0 - 3/7*c**3 = 0. What is c?
0, 1, 22
Let h(r) = -5*r - 15. Let d be h(-3). Factor -24 + 6*g + d*g**2 + 29 + g**2 + 0*g**2.
(g + 1)*(g + 5)
Let u(d) = d - 2. Let x be u(6). Let b = -37319/4 + 9330. What is v in -1/4*v**x - b + 1/2*v**2 + 0*v**3 + 0*v = 0?
-1, 1
Let v(a) be the first derivative of -a**7/21 - 8*a**6/15 + 9*a**5/10 - 36*a - 168. Let y(g) be the first derivative of v(g). Factor y(u).
-2*u**3*(u - 1)*(u + 9)
Let n(o) be the second derivative of 27 - 87/2*o**2 + 3/20*o**5 + 59/2*o**3 - 31/4*o**4 - 3*o. Find d such that n(d) = 0.
1, 29
Suppose 144 = -157*z + 145*z. Let c be 2 + z + 5104/484. Factor -4/11*q**3 + 0*q**2 + 0 + 0*q - 2/11*q**5 - c*q**4.
-2*q**3*(q + 1)*(q + 2)/11
Let r(t) = -t**2 - 8*t - 8. Let q be r(-6). Suppose -15*f + 90 = 30*f. Factor -3*y**2 + 3*y**2 - 1 + 2*y**3 - q*y + y**4 + f*y.
(y - 1)*(y + 1)**3
Let x(u) be the second derivative of 338/7*u**2 + 26/21*u**3 - 101*u + 0 + 1/84*u**4. Determine f so that x(f) = 0.
-26
Factor 51/2*i**2 - 3/2*i**3 + 165*i + 0.
-3*i*(i - 22)*(i + 5)/2
Let o = -101756 - -915826/9. Suppose o 