se -2*q + 0*q = r*y + 6, -q + y = -4. Suppose 3/4*b**q + 3/4 - 3/2*b = 0. Calculate b.
1
Suppose 128*k = 124*k + 12. Factor 21*l**5 - 62*l**k + 27*l**4 + 81*l**2 - 24*l**5 - 19*l**3.
-3*l**2*(l - 3)**3
Let t(m) = -m**2 - 10*m - 6. Let x be t(-9). Suppose x = 8*c - 21. Suppose 11*s**3 + 3*s - 14*s**c + 0*s**2 + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let -564*n + 23*n**3 - 453*n + n**4 + 1257*n + 136*n**2 = 0. What is n?
-15, -4, 0
Let u = -103 - -106. Determine x, given that -3*x**4 + 6*x**4 - 5*x**2 + 9*x**4 + u*x**5 - 7*x**2 + 9*x**3 - 12*x = 0.
-2, -1, 0, 1
Let y(f) be the first derivative of -1299*f**4/2 - 437*f**3 - 3*f**2 - 5275. Find t, given that y(t) = 0.
-1/2, -2/433, 0
Let h(o) be the first derivative of -o**6/18 - 2*o**5/5 - 11*o**4/12 - 2*o**3/3 + 1131. Determine x, given that h(x) = 0.
-3, -2, -1, 0
Let z(i) be the second derivative of 1/120*i**6 - 7/8*i**3 + i + 31/48*i**4 + 0*i**2 + 16 - 11/80*i**5. Factor z(u).
u*(u - 7)*(u - 3)*(u - 1)/4
Let p(v) be the first derivative of -v**5/60 + v**4/12 - v**3/6 + 23*v**2 + 42. Let s(b) be the second derivative of p(b). Factor s(j).
-(j - 1)**2
Determine r, given that 1432443/4*r - 2073/4*r**2 + 1/4*r**3 - 329939371/4 = 0.
691
Let p(n) be the third derivative of -n**6/540 + 16*n**5/45 + n**4/108 - 32*n**3/9 - 31*n**2 - 3*n. Determine q so that p(q) = 0.
-1, 1, 96
Let t = -6099 + 36601/6. Let k(h) be the first derivative of -1/18*h**3 + 9 - 2/3*h**2 - t*h. Suppose k(v) = 0. What is v?
-7, -1
Let c(j) = -35*j**3 + 32*j**2 + 54*j. Let m(b) = 8*b**3 - 8*b**2 - 13*b. Let d(g) = -6*c(g) - 26*m(g). Factor d(z).
2*z*(z + 1)*(z + 7)
Factor -104*x - 29*x**2 - 22*x**2 + 3875 + x**2 - 310*x - 3551.
-2*(x + 9)*(25*x - 18)
Factor -152*o + 18109*o**3 + 18097*o**3 + 64 + 108*o**2 - 36222*o**3 - 4*o**4.
-4*(o - 2)*(o - 1)**2*(o + 8)
Suppose 2*r - 7 = -0*r - 3*z, -4 = -4*z. Factor -109*m**2 - r*m**4 + 6*m**2 - 24 - 64*m + 45*m**2 - 20*m**3.
-2*(m + 1)**2*(m + 2)*(m + 6)
Let d(m) be the second derivative of -5*m**7/42 - 9*m**6 - 729*m**5/4 + m - 2079. Find r, given that d(r) = 0.
-27, 0
Suppose -j = 4*s + 1, -17 = 5*s - 8*j + 4*j. Let o = s - -1. Let 11*b**2 + 35*b + o*b**3 + 4*b**3 + 18 + 7 - 3*b**3 = 0. What is b?
-5, -1
Let f(l) be the third derivative of 1/25*l**5 + 1/30*l**4 - 2*l + 3/200*l**6 + 0 + 1/525*l**7 + 0*l**3 - 60*l**2. Factor f(k).
k*(k + 2)**2*(2*k + 1)/5
Let x be ((2 - 5) + 12 - (-4640)/(-522))*4. What is d in 4/9*d**3 + x - 2/9*d**5 + 16/9*d**2 + 14/9*d - 4/9*d**4 = 0?
-1, 2
Suppose -7*v + 6*v = 0. Let j be ((-414)/(-56) - (-12)/14) + 14/(-4). Let v + 1/4*r**2 + j*r**4 - 15/4*r**3 - 7/4*r**5 + 1/2*r = 0. What is r?
-2/7, 0, 1
Let u(w) be the second derivative of -w**5/60 - 4*w**4/9 - 23*w**3/6 - 15*w**2 - 116*w - 11. Factor u(k).
-(k + 3)**2*(k + 10)/3
Let r = 97 + -77. Factor -1836*l - r*l**2 + 1761*l - 7 + 27.
-5*(l + 4)*(4*l - 1)
Suppose -34*s - 29 = -97. Let h(y) be the first derivative of 1/30*y**6 + 0*y**s + 8 - 4/15*y**3 + 3/25*y**5 + 0*y + 0*y**4. Determine r, given that h(r) = 0.
-2, 0, 1
Suppose -79 = 23*r - 1367. Factor 2*h**2 - 8*h**4 - 5 - r*h**3 - 6 - 37*h**2 - 31*h**2 + 112*h - 21.
-2*(h + 4)**2*(2*h - 1)**2
Let r(q) = 4*q**2 - 16*q - 18. Suppose -2*m + 1 = -g, 0 = -2*g - 58*m + 56*m + 16. Let o be r(g). Factor -2/5 + 0*b**3 - 2/5*b**4 + 4/5*b**o + 0*b.
-2*(b - 1)**2*(b + 1)**2/5
Let l be (-783)/203 + 8 - 4. Determine j so that 13/7*j - 22/7 - l*j**2 = 0.
2, 11
Let u(v) = 100*v**3 - 458*v**2 + 151*v + 9. Let j(y) = 175*y**3 - 802*y**2 + 264*y + 16. Let w(a) = -9*j(a) + 16*u(a). Suppose w(n) = 0. Calculate n.
0, 2/5, 4
Let q(h) be the third derivative of h**5/40 + 535*h**4/16 - 537*h**2 + 2*h. What is k in q(k) = 0?
-535, 0
Let k(z) be the second derivative of 1/24*z**6 + 5/8*z**3 - 57*z + 0 - 5/4*z**2 - 3/16*z**5 + 5/48*z**4. Factor k(w).
5*(w - 2)*(w - 1)**2*(w + 1)/4
Let u(q) be the third derivative of 0*q**3 + 1/390*q**5 - 3*q**2 - 11*q + 0 + 1/26*q**4. Suppose u(w) = 0. Calculate w.
-6, 0
Let k(c) be the third derivative of c**6/240 - c**5/120 - c**4/8 + 308*c**2. Factor k(b).
b*(b - 3)*(b + 2)/2
Let o(l) be the second derivative of -1/90*l**5 + 0 + 8/27*l**4 + 17/27*l**3 + 0*l**2 - 176*l. Let o(h) = 0. Calculate h.
-1, 0, 17
Let p(l) = 40*l - 298. Let a(o) = -2*o**2 + 120*o - 893. Let b(h) = -2*a(h) + 7*p(h). Factor b(m).
4*(m - 5)*(m + 15)
Let b = -18454 - -18456. Solve -3*l**b - 9 + 1/2*l**3 - 25/2*l = 0.
-2, -1, 9
Let h(u) = -u**5 + 8*u**4 - 10*u**3 + 3*u - 6. Let w(j) = -17*j**4 + 2*j - 4 - 10*j**3 - 20*j**4 + 45*j**4. Let f(n) = 2*h(n) - 3*w(n). What is m in f(m) = 0?
-5, 0, 1
Let o = 794 + -1995. Let l = o - -3611/3. Find i such that -2/3*i**5 + 0 + 4/3*i**4 - l*i**2 - 8/3*i + 2*i**3 = 0.
-1, 0, 2
Let i(j) = 6*j**3 - 2*j**2 - 6*j. Let r(l) = -13*l**3 + 3*l**2 + 11*l. Suppose -7*t + 14*t - 35 = 0. Let o(z) = t*i(z) + 2*r(z). Solve o(y) = 0 for y.
-1, 0, 2
Let z(l) be the third derivative of 0 - 1/42*l**7 - 60835/6*l**3 - 138*l**5 - 50*l**2 + 0*l + 35/12*l**6 + 34385/12*l**4. Factor z(a).
-5*(a - 23)**3*(a - 1)
Let d(i) be the third derivative of -i**6/40 - 7*i**5/60 + 3*i**4/8 - 3*i**3/2 - 15*i**2. Let z be d(-9). Factor 4*t**3 + 4*t + 1530 - 8*t**2 - z.
4*t*(t - 1)**2
Factor 296*m + 299/2*m**2 + 96 + 5/4*m**4 + 97/4*m**3.
(m + 3)*(m + 8)**2*(5*m + 2)/4
Let i be (-2 - -6)/(-2 + 3). Let g be (81/378)/((-12)/320*-4). What is w in -g*w**3 - 2/7*w**i - 8/7*w**2 + 0*w + 0 = 0?
-4, -1, 0
Suppose 0*h**2 - 4321*h + 6*h**2 + 4329*h - 2*h**3 - 24 = 0. Calculate h.
-2, 2, 3
Let b(k) be the third derivative of -1/15*k**5 + 0 + 1/30*k**6 - 26*k**2 + 0*k - 1/3*k**4 + 0*k**3. Solve b(c) = 0.
-1, 0, 2
Let h(s) be the second derivative of 1/1080*s**6 - 42*s - 1/20*s**5 + 0*s**2 + 10/3*s**3 + 9/8*s**4 + 0. Let c(k) be the second derivative of h(k). Factor c(z).
(z - 9)**2/3
Let d(y) be the second derivative of -7*y**6/135 - 299*y**5/90 + 197*y**4/27 - 88*y**3/27 - 1958*y. Determine x, given that d(x) = 0.
-44, 0, 2/7, 1
Let r(o) be the third derivative of o**6/1320 - 41*o**5/220 - 21*o**4/44 + 124*o**3/33 + 188*o**2 + 12*o. Suppose r(w) = 0. What is w?
-2, 1, 124
Find d such that 2/11*d**2 + 895122/11 - 2676/11*d = 0.
669
Let x be (19600/105)/40 - 5*(-27)/(-30). Factor -x*l**2 + 5/6*l - 2/3.
-(l - 4)*(l - 1)/6
Let p = 370/9 - 1471/36. Let b = -33 + 35. Determine h, given that 0 + p*h + 1/4*h**b = 0.
-1, 0
Let x(q) be the third derivative of q**9/15120 + q**8/448 + 11*q**7/5040 - q**5/30 - 5*q**3/2 - 40*q**2. Let u(g) be the third derivative of x(g). Factor u(d).
d*(d + 11)*(4*d + 1)
Let k(c) be the third derivative of -3*c**2 + 0 - 1/210*c**5 + 47/84*c**4 + 31*c + 16/7*c**3. Factor k(s).
-2*(s - 48)*(s + 1)/7
Let j = 1385063/2 - 692528. Solve -1/2 - 2*x**3 - x + j*x**2 = 0 for x.
-1/4, 1
Suppose 38558*v + 1014 = 38896*v. Factor 8/5*f - 7/5*f**2 - 1/5*f**v + 0.
-f*(f - 1)*(f + 8)/5
Let f(x) = -x**2 - x. Let w = -2 + -16. Let m(c) be the second derivative of -2*c**4/3 - c**3 + 1462*c. Let j(d) = w*f(d) + 2*m(d). Factor j(b).
2*b*(b + 3)
Factor 640/3*d - 1/3*d**4 + 1024 - 16*d**2 - 6*d**3.
-(d - 6)*(d + 8)**3/3
Suppose 0 = -4*q - 5*n + 32, -55*q + 2*n - 2 = -53*q. Let a(v) be the first derivative of 34/7*v**2 - q + 16/7*v + 2*v**3. Find i such that a(i) = 0.
-4/3, -2/7
Factor 2*h**3 - 6080*h - 6*h**3 - 2695 - 124*h**2 + 432*h**2 + 8471.
-4*(h - 38)**2*(h - 1)
Let f(q) = -2*q**3 + q**2 + 4*q. Let w(o) = -6*o**3 - 18*o**2 - 144*o. Let l(y) = 4*f(y) - w(y). Factor l(r).
-2*r*(r - 16)*(r + 5)
Let f(j) be the third derivative of -1/20*j**5 + 0 + 1/240*j**6 + 11/48*j**4 + 15*j**2 - 1/2*j**3 + 4*j. Solve f(k) = 0 for k.
1, 2, 3
Let a(m) = -14*m**4 + 186*m**3 + 190*m**2 - 10*m. Let s(u) = -22*u**4 + 280*u**3 + 286*u**2 - 16*u. Let q(d) = -8*a(d) + 5*s(d). Factor q(w).
2*w**2*(w - 45)*(w + 1)
Let g(v) be the first derivative of -2*v**3/51 + 46*v**2/17 - 90*v/17 - 7419. Suppose g(b) = 0. Calculate b.
1, 45
Find n such that 125*n**2 - 5*n**4 + 26795*n**3 - 26905*n**3 - 77*n + 307*n = 0.
-23, -1, 0, 2
Suppose 109*q**2 - 447*q + 770 + 74*q**2 - 468*q - 33*q**2 - 5*q**3 = 0. What is q?
1, 7, 22
Let p(k) be the first derivative of -k**4/6 - 14*k**3/3 - 68*k**2/3 + 214. Solve p(s) = 0.
-17, -4, 0
Let b(j) = -250*j + 8750. Let v be b(35). What is u in v - 6*u**4 + 9/2*u**2 - 1/2*u**3 - u = 0?
-1, 0, 1