 - 576 + 276 + 240 + 42*q + 28*q**2 - 8*q = 0. What is q?
-2, 1, 15
Let z(r) = 161*r - 1769. Let h be z(11). Determine j so that 24/5*j**h + 12*j - 4/5*j**3 + 32/5 = 0.
-1, 8
Let r(x) be the first derivative of -1/6*x**6 + 2*x**4 + 0*x**2 + 0*x**3 + 0*x + 29 - 2/5*x**5. Factor r(t).
-t**3*(t - 2)*(t + 4)
Let u(r) be the first derivative of r**3/6 - 27*r**2/4 + 36*r + 2914. Find p, given that u(p) = 0.
3, 24
Let t = -30 - -54. Factor -21*d**2 + t*d + 22*d + 3*d**3 - 27 - d + 0*d**2.
3*(d - 3)**2*(d - 1)
Let i = -195 - -199. Factor -4*r - i*r**4 - 12*r**2 - 7*r**3 - 9*r**3 + 4*r**3.
-4*r*(r + 1)**3
Let c(f) = -2*f + 17 - 9 + 0*f + 9. Let q be c(-6). Suppose -12 - 8*z + 26*z**2 + 20*z - q*z**2 = 0. What is z?
2
Let z be (-4)/14 - ((-222150)/385 + 10). Let r = 567 - z. Suppose 1/11*y**2 + r*y + 2/11 = 0. Calculate y.
-2, -1
Let s(k) = 495*k**4 + 590*k**3 - 23425*k**2 - 6745*k + 25. Let i(w) = -41*w**4 - 49*w**3 + 1952*w**2 + 562*w - 2. Let n(p) = 25*i(p) + 2*s(p). Factor n(f).
-5*f*(f - 7)*(f + 8)*(7*f + 2)
Determine c, given that 160/11*c - 2/11*c**3 - 34/11*c**2 - 168/11 = 0.
-21, 2
Factor -280*j**4 + 3*j**3 + 534*j**4 - 11*j**3 - 67*j**2 - 250*j**4 - 73*j**2.
4*j**2*(j - 7)*(j + 5)
Let j be (2 - 3) + -5 + (-2)/(-14)*63. Let q(c) be the first derivative of 0*c - 3/2*c**2 - 23 - c**j. Factor q(i).
-3*i*(i + 1)
Let z(d) be the third derivative of d**5/270 - 91*d**4/108 + 10*d**3/3 + 14*d**2 + 17. Let z(c) = 0. What is c?
1, 90
Let u(a) be the second derivative of -a**4/6 - 86*a**3/3 - 1849*a**2 + 363*a. Suppose u(i) = 0. What is i?
-43
Let h be (-1)/(12/4)*-1*21. Let j be 388/36 - 2 - (-2)/9. Let j*f - 4*f**5 + 0*f**2 + h*f - 24*f**3 + 16*f - 16*f**2 + 20*f**4 = 0. What is f?
-1, 0, 2
Let t(q) be the second derivative of -q**4/9 - 44*q**3/3 + 123*q + 8. Suppose t(l) = 0. What is l?
-66, 0
Let a be (920/12)/((-6)/(-45)). Factor -a + 240*r**2 + 150 - 1339 - 244*r**2 - 168*r.
-4*(r + 21)**2
Let p(g) be the first derivative of 4*g**3/15 - 27*g**2/5 + 34*g + 1121. What is u in p(u) = 0?
5, 17/2
Let v(a) = a**2 - 11*a - 29. Let m be v(13). Let d(i) = -3*i - 7. Let z be d(m). Factor -1/3*f**3 + 4/3*f - 1/3*f**z + 4/3.
-(f - 2)*(f + 1)*(f + 2)/3
Let n(g) be the second derivative of g**7/42 - 7*g**6/15 - 27*g**5/5 - 58*g**4/3 - 80*g**3/3 + 6435*g. Solve n(v) = 0.
-2, 0, 20
Let a(i) be the first derivative of -i**7/420 + i**6/180 - i**3/3 - 5*i**2 + 61. Let w(y) be the third derivative of a(y). Determine p, given that w(p) = 0.
0, 1
Factor 3/4*o**2 + 9*o - 135/4.
3*(o - 3)*(o + 15)/4
Let m(j) = -j**3 + 14*j**2 + j + 3. Let l be m(0). Let x be (-1 + -8)*5/(-3). Let 9*w**2 + 3*w + 8*w**3 - 8*w**3 - l - x*w**3 + 6*w**4 = 0. What is w?
-1/2, 1
Let s(h) be the first derivative of -69 - 2 - 43 - 4*h**3 + 3*h**3 - 117*h + 60*h**2. Suppose s(p) = 0. Calculate p.
1, 39
Let f = 894 - 894. Let l be (5 - 7/(-63)*-51) + 2. Find q such that 0 - l*q**4 + 20/3*q**3 - 16/3*q**2 + f*q = 0.
0, 1, 4
Determine m so that -6260*m**2 + 9*m**3 - 3020 + 9884 + 34324*m + 16*m**3 + 49180*m**2 = 0.
-1716, -2/5
Let x(s) be the second derivative of s**5/30 + 32*s**4/63 + 65*s**3/63 + 8*s**2/21 - 96*s - 19. Find g such that x(g) = 0.
-8, -1, -1/7
Determine r so that -16*r**5 - 18*r**5 + 44*r**5 + 280*r**2 + 161*r**4 + 144*r**4 + 710*r**3 = 0.
-28, -2, -1/2, 0
What is q in 419 - 801*q + 3*q**2 + 80 + 299 = 0?
1, 266
Let q(y) be the first derivative of -y**5/25 + 6*y**4/5 - 13*y**3/3 + 21*y**2/5 + 6388. Factor q(d).
-d*(d - 21)*(d - 2)*(d - 1)/5
Let a be 4138/(-51725) + (-1)/((-100)/158). Determine i, given that -i**2 - 17/2*i**3 + a*i**5 + 0 + 4*i + 4*i**4 = 0.
-4, -2/3, 0, 1
Let z(k) be the first derivative of 0*k**3 + 35/4*k**4 - 63 - k**5 + 0*k**2 + 0*k. Determine o, given that z(o) = 0.
0, 7
Let o(a) be the first derivative of -5*a**4/4 - 70*a**3/3 + 175*a**2/2 + 240*a + 3206. Let o(c) = 0. What is c?
-16, -1, 3
Let s(n) = 11*n - 24. Let c be s(5). Suppose 0 = -c*f + 12*f. Factor 18*u**2 - 9*u**3 + f + 3/2*u**4 - 12*u.
3*u*(u - 2)**3/2
Let x(z) = 2*z**2 + 15*z + 9. Let h be x(-7). Factor 1/5*n**h + 0 - 1/5*n.
n*(n - 1)/5
Suppose 2*k + 0 = 6. Suppose 1930*d - 1933*d - 5*l + 19 = 0, -2*d = -2*l - 2. Factor k - 3*v**2 + 3/2*v**d - 3/2*v.
3*(v - 2)*(v - 1)*(v + 1)/2
Let i(r) be the first derivative of -r**4/24 + 68*r**3/9 - 1535. Find a, given that i(a) = 0.
0, 136
Let w(o) be the first derivative of o**3/18 - 217*o**2/12 - 361. Factor w(j).
j*(j - 217)/6
Let m = -15563 + 15565. Suppose 44/13*f + 16*f**3 - 2/13 + 200/13*f**m = 0. Calculate f.
-1/2, 1/26
Factor 3650*q**4 - 1829*q**4 + 67*q + 43*q**2 - 1822*q**4 + 5*q**3 + 30.
-(q - 10)*(q + 1)**2*(q + 3)
Let l(u) be the first derivative of -u**6/2 + 441*u**5/5 + 903*u**4/4 - 443*u**3 - 900*u**2 + 1788*u + 1581. Find g, given that l(g) = 0.
-2, 1, 149
Let p(k) = -96*k**2 + 1729*k - 16. Let n be p(18). Let w(v) be the first derivative of -3/2*v + 1/2*v**n + 1/6*v**3 + 3. Factor w(d).
(d - 1)*(d + 3)/2
Let t be 1 + (-5092)/342 - -14. Factor -t*y**2 + 5/9*y + 2/3.
-(y - 6)*(y + 1)/9
Let q(r) be the second derivative of 6*r + 0*r**2 - 1/33*r**3 + 1/33*r**4 - 1/110*r**5 + 4. What is a in q(a) = 0?
0, 1
Let z(u) = 34430*u + 378731. Let t be z(-11). What is s in -3/5*s**2 - 9/5*s - t + 1/5*s**3 = 0?
-1, 5
Factor -2/15*r**2 + 68/5 - 98/15*r.
-2*(r - 2)*(r + 51)/15
Let t(r) be the third derivative of r**7/210 - r**6/90 - r**5/3 - 4*r**4/3 - 23*r**3 - 84*r**2. Let y(g) be the first derivative of t(g). Factor y(u).
4*(u - 4)*(u + 1)*(u + 2)
Let s(g) be the third derivative of g**8/672 - g**7/84 + g**6/30 - g**5/30 + 911*g**2. Factor s(x).
x**2*(x - 2)**2*(x - 1)/2
Suppose -26/9*o**3 + 128/9 - 90*o**2 + 236/3*o = 0. What is o?
-32, -2/13, 1
Let x(a) be the first derivative of 57/2*a**2 + 8*a**3 + 3/4*a**4 + 36*a - 16. Determine l, given that x(l) = 0.
-4, -3, -1
Let b(o) = -29625*o - 57970. Let t be b(-2). Let 1/5*z**2 + t - 32*z = 0. What is z?
80
Let h(w) be the first derivative of 35*w**3 + 9*w**2 - 227. Solve h(i) = 0 for i.
-6/35, 0
Determine i, given that -2/13*i**3 - 984/13*i**2 + 0 + 986/13*i = 0.
-493, 0, 1
Suppose -i + 7 = 2*z, 2*z + 11 = i + 4*i. Let r = z - 0. What is f in 8*f**2 + f**3 - f**4 - 7*f**r - 8*f + 7*f = 0?
-1, 0, 1
Let i be (-2)/4*(-3 + -11). Let j be i + 2 - (-6 - -6). Factor 8*t + 2*t**2 + 4*t - t**2 - 4 - j*t.
(t - 1)*(t + 4)
Let j(q) = -4*q**3 + 32*q**2 - 5*q - 125. Let d(p) = -10*p**3 + 64*p**2 - 9*p - 249. Let c(b) = 3*d(b) - 7*j(b). Factor c(h).
-2*(h - 2)*(h + 2)*(h + 16)
Let o(h) = 9*h**5 + 27*h**4 + 4*h**3 - 20*h**2. Let v(u) = -10*u**5 - 30*u**4 - 5*u**3 + 20*u**2. Let x(c) = -5*o(c) - 4*v(c). Solve x(l) = 0.
-2, 0, 1
Let f(z) = -z**2 + 207*z - 6676. Let u be f(40). Suppose 64/9*p + 20/9*p**3 - 2/9*p**u - 64/9*p**2 + 0 = 0. Calculate p.
0, 2, 4
Let j(d) be the second derivative of d**6/135 - 29*d**5/30 + 481*d**4/18 + 47915*d**3/27 - 405224*d**2/3 - 8159*d. Solve j(l) = 0 for l.
-24, 37
Let s(v) be the third derivative of -125*v**5/8 - 425*v**4/2 - 1156*v**3 + 141*v**2 + 4*v. Factor s(p).
-3*(25*p + 68)**2/2
Suppose 377 = h + 12*h. Let j be (-10)/(-2) - (-33 + h). Factor -3*u + 11*u - j*u**2 - 4*u**2 - 15*u**2.
-4*u*(7*u - 2)
Let j(m) be the third derivative of 1/20*m**5 + 43/4*m**4 - 248*m**2 + 0*m + 1849/2*m**3 + 0. Determine z so that j(z) = 0.
-43
Solve -3*j**2 + j**5 - 6*j**3 + 572*j**4 + 3*j**2 + 573*j**4 - 1150*j**4 = 0.
-1, 0, 6
Factor 0 + 27/8*h + 15/4*h**2 + 3/8*h**3.
3*h*(h + 1)*(h + 9)/8
Let r be (-137 - -121) + (-150)/(-9). Solve -1/6*b**3 - 2/3*b**2 + 1/6*b + r = 0 for b.
-4, -1, 1
Let s(h) be the first derivative of h**4/18 - 218*h**3/27 + 106*h**2/9 + 48*h - 5073. Factor s(k).
2*(k - 108)*(k - 2)*(k + 1)/9
Let h(f) be the third derivative of f**8/420 - 4*f**7/175 - 2*f**6/75 + 88*f**5/75 - 32*f**4/5 + 256*f**3/15 + 1546*f**2. Let h(d) = 0. What is d?
-4, 2, 4
Solve -3/2*g**4 - 209*g**2 + 156*g + 0 - 73/2*g**3 = 0 for g.
-13, -12, 0, 2/3
Let k be ((-632)/168 + 4)/((-10)/(-6)). Let z(m) be the second derivative of -1/35*m**5 + 0 + k*m**3 + 0*m**2 + 1/210*m**6 + 15*m + 1/84*m**4. Factor z(t).
t*(t - 3)*(t - 2)*(t + 1)/7
Factor 663*k - 3291598 + 20*k**2 + 3293332 - 116*k**2 + 3*k**3.
3*(k - 17)**2*(k + 2)
Let c(d) be the second derivative of -d**5/4 - 52*d**4/3 + 299*d**3/6 - 43*d**2 + 161*d. Factor c