*2
Suppose 15*r = 48*r + 425*r + 157*r. Suppose 1/2*x**2 - 1/2*x**4 + 0*x**3 + r + 0*x = 0. What is x?
-1, 0, 1
Let k(b) be the first derivative of -b**3/3 - 21*b**2/2 - 49*b - 24. Let t be k(-18). Suppose 846*d - 3*d**2 - 841*d - 2*d**2 + 5 - t*d**3 = 0. What is d?
-1, 1
Let 0 - 3/7*z**2 + 0*z + 3/7*z**3 = 0. Calculate z.
0, 1
Factor -24/5*m**2 - 364/5*m + 4/5*m**3 + 0.
4*m*(m - 13)*(m + 7)/5
Let r(o) = -4*o**4 - 10*o**3 - 39*o**2 - 51*o - 33. Let k(w) = -w**4 - w**2 + w - 2. Let c(v) = 3*k(v) - r(v). Factor c(f).
(f + 1)*(f + 3)**3
Let d(y) be the first derivative of -y**4/20 - 236*y**3/5 + y**2/10 + 708*y/5 + 401. Factor d(t).
-(t - 1)*(t + 1)*(t + 708)/5
Let s(m) = -m**3 + 3*m**2 + 7*m - 9. Let q = -9 - -13. Let x be s(q). Factor -20*i**3 - 4*i**2 + 10*i**x + 6*i**3 + 8*i.
-4*i*(i - 1)*(i + 2)
Let i(h) = -h**3 + 22*h**2 - 23*h + 42. Let n(u) = 22*u - 67. Let d be n(4). Let t be i(d). Factor 8/5*f**2 - 4/5*f**4 + 0*f + t*f**3 - 4/5.
-4*(f - 1)**2*(f + 1)**2/5
Let p(v) = -v**3 - 17*v**2 - 270*v - 3190. Let w be p(-14). Determine l so that -1/4*l**w - 3/2*l - 5/4 = 0.
-5, -1
Suppose 36*k + 400 = 400. Let j(t) be the first derivative of 0*t**3 + k*t + 0*t**2 + 0*t**4 - 15 + 1/3*t**6 + 2/5*t**5. Let j(n) = 0. What is n?
-1, 0
Let d(i) be the third derivative of i**6/600 + 19*i**5/300 + 5*i**4/12 + 16*i**3/15 - 71*i**2 - 8*i. Factor d(a).
(a + 1)*(a + 2)*(a + 16)/5
Let d = -1185467 - -1185470. Factor -2/13*r**d + 9126 + 18*r**2 - 702*r.
-2*(r - 39)**3/13
Let h(d) = -39*d + 6*d**3 - 13*d**3 + 36*d**2 + 13*d**3. Let x(s) = -7*s**3 - 35*s**2 + 38*s. Let u(p) = -4*h(p) - 3*x(p). Suppose u(r) = 0. Calculate r.
-14, 0, 1
Let v(x) = -71*x - 1347. Let o be v(-19). Let c(m) be the second derivative of 0 + 0*m**o + 1/42*m**4 + 15*m - 1/21*m**3. Solve c(t) = 0 for t.
0, 1
Let m = 1970 - 1968. Let b(q) be the third derivative of -10*q**m - 1/450*q**5 + 0 + 0*q**3 - 1/900*q**6 + 0*q + 1/90*q**4. Factor b(k).
-2*k*(k - 1)*(k + 2)/15
Find q such that -28*q**3 - 30*q + 2*q**4 + 158*q - 34*q**3 - 68*q**2 = 0.
-2, 0, 1, 32
Let y(x) be the first derivative of -95*x**4/4 - 3220*x**3/3 + 170*x**2 + 810. Suppose y(d) = 0. What is d?
-34, 0, 2/19
Let p be (((-691380)/(-10626))/(-167))/(0 + ((-12)/(-14) - 1)). Factor -p + 30/11*f**2 + 2/11*f - 2/11*f**3.
-2*(f - 15)*(f - 1)*(f + 1)/11
Let b = -168 - -1516/9. Let n be ((-3)/3)/(-1)*(9 - 7). Let 4/3*p**3 + 0 + b*p**n + 11/9*p**4 + 0*p + 1/3*p**5 = 0. Calculate p.
-2, -1, -2/3, 0
Let j(o) = -6*o**2 + 1632*o - 3208. Let a(c) = -17*c**2 + 4895*c - 9634. Let q(z) = -4*a(z) + 11*j(z). Solve q(m) = 0 for m.
2, 812
Let t(n) be the first derivative of 27*n**5/35 - 291*n**4/28 - 22*n**3/7 + 3869. Factor t(r).
3*r**2*(r - 11)*(9*r + 2)/7
Let f(b) be the first derivative of -3*b**6/80 - 11*b**5/40 - 5*b**4/6 - 4*b**3/3 - 103*b**2/2 - 123. Let m(x) be the second derivative of f(x). Factor m(d).
-(d + 1)*(3*d + 4)**2/2
Let n(u) be the third derivative of -u**7/210 - u**6/48 - u**5/120 + u**4/24 + 889*u**2. Determine z, given that n(z) = 0.
-2, -1, 0, 1/2
Let z(x) be the second derivative of 0 + 4/15*x**6 + 9*x - 3/5*x**5 + 2/21*x**7 - 8/3*x**4 - 8/3*x**3 + 0*x**2. Determine i, given that z(i) = 0.
-2, -1, 0, 2
Find d, given that -9/5 - 30*d**3 - 174/5*d**2 - 69/5*d + 27/5*d**5 - 9/5*d**4 = 0.
-1, -1/3, 3
Let a(y) be the third derivative of y**8/216 + 146*y**7/189 + 323*y**6/108 - 58*y**5/9 - 17*y**4/3 + 1332*y**2. Determine d, given that a(d) = 0.
-102, -3, -2/7, 0, 1
Let i = 179/2 - 89. Suppose -3*g + 2*c + 4 = g, -5*g = 3*c - 16. Find u such that -i - 1/3*u + 1/6*u**g = 0.
-1, 3
Find x, given that -1296*x - 2020 - 5*x**3 - 505*x**2 - 1088*x - 20*x**2 + 344*x = 0.
-101, -2
Suppose -18*b = -15*b - 4*j + 34, 0 = 3*b + 2*j + 10. Let q be 10/b*9/(-10). Suppose 3/4*y**3 + q*y**2 - 3/2 - 3/4*y = 0. What is y?
-2, -1, 1
Suppose 3*k + 3*j - 3 = 0, -5*k + 0*k = -4*j + 22. Let x be (9/6 + k)*(-1764)/567. What is f in -4/9*f**2 - x*f + 2/9*f**3 - 8/9 = 0?
-1, 4
Let a(c) be the second derivative of 4*c + 1/30*c**4 + 2 + 0*c**2 + 1/5*c**3 - 3/200*c**5 - 1/300*c**6. What is v in a(v) = 0?
-3, -2, 0, 2
Let j(f) be the third derivative of 0*f**3 + 1/12*f**5 - 6*f - f**2 + 0 - 1/120*f**6 - 1/4*f**4. Suppose j(q) = 0. What is q?
0, 2, 3
Suppose 9*b + 110 = -4*w + 37, 5*b = -5*w - 35. Factor 8 - 52/3*s**w - 92/3*s.
-4*(s + 2)*(13*s - 3)/3
Let j be ((-39)/(-65))/((-3)/(-10)). Let r(m) be the first derivative of 0*m - 3/4*m**j + 3/5*m**5 + 0*m**4 - m**3 + 27 + 1/4*m**6. Let r(c) = 0. What is c?
-1, 0, 1
Find l such that 11/7 - 2/7*l**3 - 10/7*l - 23/7*l**2 = 0.
-11, -1, 1/2
Factor -3/2*i**2 + 3429/2*i + 0.
-3*i*(i - 1143)/2
Let x be (5/5 + -4)/(-1). Suppose 41*k - 60 + 24*k**2 + 71*k**x - 8*k - 68*k**3 = 0. Calculate k.
-5, -4, 1
Let f be 3*14 + (-89816)/2163. Factor 4/21 + f*r**2 + 2/3*r.
2*(r + 1)*(5*r + 2)/21
Suppose -2*l - 4*r = 4, -9*r + 10*r = l - 7. Suppose 206 = o + 9. Find t, given that -12 - l*t**2 - 3*t**3 - 217*t + o*t + 7*t**3 = 0.
-1, 3
Let o(j) be the first derivative of j**5/240 - 5*j**4/96 + j**3/4 + 21*j**2/2 + j - 15. Let f(a) be the second derivative of o(a). Factor f(w).
(w - 3)*(w - 2)/4
Let k(s) be the second derivative of s**5/160 - s**4/24 - 17*s**3/48 + 15*s**2/4 + 998*s. Solve k(h) = 0.
-4, 3, 5
Let k = 326 + -316. Factor 11*f + 2*f + 17 - 7*f - f**2 + k*f.
-(f - 17)*(f + 1)
Factor 4/3*j**2 + 2/9*j**3 - 16*j - 640/9.
2*(j - 8)*(j + 4)*(j + 10)/9
Let v be (-6 - -6 - (2 + 1))*20/(-12). Let g(b) be the second derivative of -4/7*b**2 - 2/21*b**3 + 0 + 2/21*b**4 + 4*b + 1/35*b**v. Factor g(c).
4*(c - 1)*(c + 1)*(c + 2)/7
Factor -2888/3 + 1/3*z**4 + 1366/3*z**2 - 532*z + 25*z**3.
(z - 2)*(z + 1)*(z + 38)**2/3
Suppose 7*z = -4*z + 22. Let n be 1*z/(-6) + 274/822. Determine t, given that -2/5*t + 2/5*t**3 + 0 + n*t**2 = 0.
-1, 0, 1
Let i(a) = 24*a**2 - 980*a - 692. Let s(p) = 9*p**2 - 392*p - 277. Let t(q) = 5*i(q) - 12*s(q). Suppose t(h) = 0. Calculate h.
-2/3, 17
Solve 4/5*t**2 - 1092/5*t + 2168/5 = 0 for t.
2, 271
Let v(k) be the first derivative of -k**6/45 + 2*k**5/25 + k**4/6 - 2*k**3/3 - 4*k**2/15 + 8*k/5 + 1315. Find n, given that v(n) = 0.
-2, -1, 1, 2, 3
Suppose 47*c + 22*c = -11*c + 156*c. Let u(j) be the first derivative of 28 + c*j + 3/16*j**4 + 0*j**2 + 1/6*j**3 + 0*j**5 - 1/24*j**6. Factor u(s).
-s**2*(s - 2)*(s + 1)**2/4
Find a, given that -8*a**2 - 11/2*a**4 + 30*a + a**5 - 31*a**3 + 27/2 = 0.
-3, -1, -1/2, 1, 9
Let m(z) be the second derivative of z**5/4 - 45*z**4/4 + 335*z**3/3 - 420*z**2 - z + 3615. Factor m(i).
5*(i - 21)*(i - 4)*(i - 2)
Let g = 1601811 - 1601809. Solve 35/2*b**g - 110*b + 0 + 5/2*b**3 = 0.
-11, 0, 4
Let i be 80/(-6)*((-76)/(-8) - 11). Factor -21 + 24*s + 0*s**2 + 17*s**2 - i*s**2.
-3*(s - 7)*(s - 1)
Suppose l + 0 - 5 = 0. Let b = -3 + l. Factor -5*c - 4*c**2 + 4*c**2 - 6*c**2 + c + 2*c**3 + b*c**5 + 6*c**4.
2*c*(c - 1)*(c + 1)**2*(c + 2)
Let v(b) be the second derivative of -b**7/168 - b**6/30 - b**5/16 - b**4/24 + 7*b - 22. Determine g, given that v(g) = 0.
-2, -1, 0
Let a(w) = -w**3 - 149*w**2 - 308*w - 2056. Let l be a(-147). Determine i, given that -2/3*i**l + 8/3*i + 8/3 - 2/3*i**3 = 0.
-2, -1, 2
Let z(q) be the first derivative of -25/2*q**2 - 10*q**3 - 5/4*q**4 + 0*q + 29. Factor z(p).
-5*p*(p + 1)*(p + 5)
Let o(u) = 22*u**3 - 66*u**2 - 144*u + 204. Let q(z) = 54*z**3 - 133*z**2 - 289*z + 408. Let s(d) = 5*o(d) - 2*q(d). Factor s(f).
2*(f - 34)*(f - 1)*(f + 3)
Let j(v) be the second derivative of -v**6/50 + 27*v**5/100 + v**4/20 - 9*v**3/10 + 248*v - 7. Factor j(z).
-3*z*(z - 9)*(z - 1)*(z + 1)/5
Let k(h) = -2*h**3 - 16*h**2 + 16*h + 16. Let z(b) = b**2 - b - 1. Let u(v) = k(v) + 14*z(v). Factor u(q).
-2*(q - 1)*(q + 1)**2
Let l(q) be the second derivative of -1024*q**5/15 - 32*q**4/3 - 2*q**3/3 - 6*q**2 - 14*q. Let z(y) be the first derivative of l(y). Factor z(j).
-4*(32*j + 1)**2
Let p be -10 + 289 - (-1 - 1). Solve p*b - 4*b**3 - 130*b - 139*b + 8*b**2 = 0 for b.
-1, 0, 3
Let c(i) be the first derivative of 49*i**6/8 + 231*i**5/20 - 123*i**4/4 - 76*i**3 - 48*i**2 - 12*i + 907. Find p, given that c(p) = 0.
-2, -1, -2/7, 2
Let w(j) be the second derivative of -j**8/23520 - j**7/8820 + j**6/280 + 3*j**5/140 + 23*j**4/4 - 43*j. Let s(d) be the third derivative of w(d). Factor s(u).
-2