*q**2 = 0 for q.
-5, -2
Let b(f) be the second derivative of -4/3*f**4 - 8 - 8*f**3 + 9/5*f**5 + 7*f + 2/21*f**7 + 4/5*f**6 + 0*f**2. Suppose b(j) = 0. Calculate j.
-3, -2, 0, 1
Let p(j) = -3*j**2 + 198*j + 861. Let k(r) = -r**2 + 48*r + 217. Let b(z) = 15*k(z) - 4*p(z). Factor b(n).
-3*(n + 3)*(n + 21)
Let u(o) = -43*o**4 - 170*o**3 + 3610*o**2 - 27436*o. Let j(k) = 5*k**4 + 2*k**3. Let m(v) = 18*j(v) + 2*u(v). Determine a, given that m(a) = 0.
0, 19, 38
Solve 3/5*u**4 + 441/5*u**3 + 426/5*u**2 - 1752/5 - 1764/5*u = 0.
-146, -2, -1, 2
Let z(i) be the second derivative of 10/21*i**2 - 57*i + 1/210*i**5 + 0 - 5/63*i**4 - 1/63*i**3. Factor z(r).
2*(r - 10)*(r - 1)*(r + 1)/21
Let k = 20174/11115 - 46/1235. Solve -2/9*l**4 - 20/9*l - k*l**3 - 34/9*l**2 + 0 = 0 for l.
-5, -2, -1, 0
Suppose 0 = -d - 31 + 41. Suppose -d = -n - 5*y, n = 2*n - 4*y - 1. Find h such that -3*h**4 - 1365*h - 3*h**3 + 1364*h + 3*h**2 + n*h**4 - h**4 = 0.
0, 1
Let z be 108/(693/(-3080)*-5). Find b, given that 3/2*b**4 + 51*b**3 - 51*b - z + 189/2*b**2 = 0.
-32, -2, -1, 1
Let b = 74 - 82. Let j(m) = -m**2 - 8*m + 11. Let z be j(b). Suppose z + 3*q**2 + 3*q**3 - 11*q**3 + 6*q + q**2 - 15 + 2*q**5 = 0. What is q?
-2, -1, 1
Suppose 0 = -15*y + 5*y - 60, -u - 4*y - 23 = 0. Let s(w) be the first derivative of -6*w**2 - u + 1/2*w**3 + 21/2*w. Factor s(h).
3*(h - 7)*(h - 1)/2
Let a(y) be the third derivative of -y**8/2352 + 9*y**7/490 + 3*y**6/70 - 53*y**5/105 - 2*y**4 + 11*y**2 - 62. Determine j, given that a(j) = 0.
-2, 0, 3, 28
Suppose 64 = 4*j + 4*f, 4*f - 13 = -j - 0*j. Factor 50*p + 6*p**2 - 9*p**2 + 2*p**3 - j*p**2.
2*p*(p - 5)**2
Let s be -8 + (-8)/(64/(-120)). Factor -s*w**4 - 19*w - 11*w**2 + 28*w**3 + 21*w - 12*w**3.
-w*(w - 1)**2*(7*w - 2)
Let v(p) be the second derivative of -p**6/70 + 27*p**5/140 + 37*p**4/28 - 9*p**3/14 - 54*p**2/7 - 2*p - 918. Let v(k) = 0. What is k?
-3, -1, 1, 12
Let 990*i - 18*i**3 + 3/2*i**4 - 111*i**2 + 9075/2 = 0. Calculate i.
-5, 11
Suppose 50 = l + 46. Suppose -d - 11 = -16, -5*d = l*m - 25. Determine q, given that -1/2*q**2 + m - 1/2*q = 0.
-1, 0
Let m = 2022239/51 + -39653. Let n = m - -473/255. What is t in 0*t + n*t**4 + 0*t**3 + 0 - 3/5*t**2 = 0?
-1, 0, 1
Let o = -684 - -686. Let z(n) be the second derivative of 0 + 0*n**o + 9*n + 0*n**3 + 0*n**5 - 1/20*n**6 + 1/8*n**4. Factor z(l).
-3*l**2*(l - 1)*(l + 1)/2
Let y = -1139 + 1207. Let t be (-17)/(-102) + (y/(-24))/(-1). Determine w, given that -2/9*w + 0 - 4/9*w**t + 2/3*w**2 = 0.
0, 1/2, 1
Let d(m) be the second derivative of -17/8*m**4 - 21/40*m**5 + 4*m**3 + 21/20*m**6 - 3*m**2 - 3 - 22*m - 9/28*m**7. Determine i so that d(i) = 0.
-1, 2/3, 1
Let p(b) = b + 9. Let c be p(-3). Let l be (4/3)/(22/c - 3). Factor d**3 - d**l - 2*d**2 - 3*d**3 - 5*d**2.
-2*d**2*(d + 4)
Let w(d) be the third derivative of d**5/210 - 6*d**4/7 + 71*d**3/21 + 6*d**2 - 73*d. Solve w(g) = 0.
1, 71
Let w(h) be the first derivative of -h**3/9 + 56*h**2/3 + 113*h/3 + 1886. Factor w(n).
-(n - 113)*(n + 1)/3
Let u(t) = -2*t**4 + 19*t**3 + 38*t**2 + 20*t + 6. Let h(f) = 5*f**4 - 37*f**3 - 75*f**2 - 40*f - 14. Let b(n) = 3*h(n) + 7*u(n). Factor b(j).
j*(j + 1)**2*(j + 20)
Factor -144/13*h**3 + 68/13*h**4 + 0 + 2/13*h**5 + 0*h + 0*h**2.
2*h**3*(h - 2)*(h + 36)/13
Let q(l) = -3*l**4 + 63*l**3 + 51*l**2 - 48*l - 51. Let n(d) = 3*d**4 - 67*d**3 - 49*d**2 + 47*d + 50. Let j(r) = 3*n(r) + 4*q(r). Let j(g) = 0. Calculate g.
-1, 1, 18
What is x in 47*x + 149*x + 172*x + 560 + 207*x + x + 12*x**2 - 4*x**3 = 0?
-10, -1, 14
Let b = 48331/1518 - 2021/66. Factor -10/23*l - b + 2/23*l**2.
2*(l - 7)*(l + 2)/23
Let w(q) be the third derivative of -23/60*q**5 + 1/30*q**7 - 1/40*q**6 + 4/3*q**4 + 0 - 1/336*q**8 + 0*q - 2*q**3 - 76*q**2. Factor w(i).
-(i - 6)*(i - 1)**3*(i + 2)
Factor -2398*j**2 + 4986*j**2 - 2462*j**2 + 108*j + 12*j**3 - 3*j**4 - 243.
-3*(j - 9)*(j - 1)*(j + 3)**2
Let m = 784111 - 784108. Factor -27/4*n**m - 3/4*n**5 + 0*n - 9/2*n**4 - 3*n**2 + 0.
-3*n**2*(n + 1)**2*(n + 4)/4
Let z(q) be the second derivative of -130/3*q**3 - 3 + 7/3*q**4 - 14*q + 36*q**2. Factor z(k).
4*(k - 9)*(7*k - 2)
Let a(k) be the third derivative of 0*k + 9/40*k**5 + 1/80*k**6 + 0 - 17*k**2 + 3*k**3 + 5/4*k**4. Factor a(w).
3*(w + 1)*(w + 2)*(w + 6)/2
Factor 24570*i + 4/5*i**3 + 6125 + 1401/5*i**2.
(i + 175)**2*(4*i + 1)/5
Let x(y) be the second derivative of -y**6/135 - 1037*y**5/45 - 359147*y**4/18 - 2148664*y**3/27 - 1073296*y**2/9 + 2*y - 2299. Solve x(b) = 0 for b.
-1036, -1
Let u(n) be the second derivative of -n**6/10 - 159*n**5/5 - 8427*n**4/2 - 297754*n**3 - 23671443*n**2/2 + 62*n - 3. Factor u(k).
-3*(k + 53)**4
What is c in -3/4*c**5 - 60*c + 18*c**3 - 3*c**4 + 48*c**2 - 144 = 0?
-6, -2, 2, 4
Let x(f) = f**2 + 18*f + 80. Let s be x(-11). Determine y, given that -5*y**2 + 1318 - y**4 - 4*y**s + y**2 - 1318 = 0.
-2, 0
Let l(z) = z**3 - 2 - 2*z**2 + 3*z**2 + 3. Let k(a) = -a - 35289*a**3 - 80*a + 15 + 35196*a**3 - 24*a**4 - 147*a**2. Let q(j) = -k(j) + 15*l(j). Factor q(o).
3*o*(2*o + 3)**3
Let c be 1 - 472/(-63) - 71/497. Let w = -70/9 + c. Solve -w*v**2 + 12/7 - 8/7*v = 0 for v.
-3, 1
Suppose 148*q + 6 = 150*q. Let p(a) be the first derivative of -1/2*a + a**3 - q + 11/10*a**5 + 7/4*a**4 - 1/4*a**2 + 1/4*a**6. Factor p(i).
(i + 1)**4*(3*i - 1)/2
Let 30/7*x**4 + 284/7*x**2 + 334/7*x**3 - 80/7 - 568/7*x = 0. Calculate x.
-10, -2, -2/15, 1
Let u(x) be the second derivative of -3/20*x**5 + 7/20*x**6 + 0*x**2 + 0*x**3 - 8 + 2*x + 0*x**4. Factor u(o).
3*o**3*(7*o - 2)/2
Let j(w) be the first derivative of 49*w**4/4 - 112*w**3/3 - 3051*w**2/2 - 7290*w + 8440. Factor j(x).
(x - 10)*(7*x + 27)**2
Let p(g) be the first derivative of -g**6/12 - 13*g**5/10 - 8*g**4 - 76*g**3/3 - 44*g**2 - 40*g + 4352. Factor p(y).
-(y + 2)**4*(y + 5)/2
Let i = 494597 + -3462177/7. Factor 2/7*j**3 - 8/7*j + 8/7*j**2 - i*j**4 + 0.
-2*j*(j - 2)*(j - 1)*(j + 2)/7
Let x = -269 - -271. Factor 6*m**2 - 5 - 4*m**2 + 1226*m - 3*m**x - 1232*m.
-(m + 1)*(m + 5)
Let m(j) be the first derivative of 20 - 11/30*j**4 + 13/15*j**3 + 12*j - 2/5*j**2. Let i(s) be the first derivative of m(s). Factor i(d).
-2*(d - 1)*(11*d - 2)/5
Suppose 8*t = -17 - 175. Let y = t - -27. Factor -109*u**y + 6 + 12*u - 18 + 3*u**2 + 106*u**3.
-3*(u - 2)*(u - 1)*(u + 2)
Let n(l) = 31*l + 0*l**2 + 7*l + l**2 - 78 - 75*l. Let c be n(39). Suppose -h**4 + 2/5*h - h**3 + c + h**2 + 3/5*h**5 = 0. Calculate h.
-1, -1/3, 0, 1, 2
Let y(t) = -6*t + 116. Let p be y(19). Factor -175 + 3*q**p + 2675 - 200*q + q**2.
4*(q - 25)**2
Factor -81*q**2 + 19*q**3 - q**5 + 166*q**2 - 11*q**3 - 2*q**4 - 85*q**2.
-q**3*(q - 2)*(q + 4)
Let j(l) be the third derivative of -l**5/30 + 322*l**4/3 - 414736*l**3/3 + 1525*l**2. Determine v, given that j(v) = 0.
644
Let n(g) be the first derivative of 2*g**5/35 + g**4/14 - 2*g**3/3 - 13*g**2/7 - 12*g/7 - 707. Factor n(m).
2*(m - 3)*(m + 1)**2*(m + 2)/7
Let l be 2 + -2 - 29994/30*-1. Let n = l + -995. Factor -n*r - 36/5 - 4/5*r**2.
-4*(r + 3)**2/5
Let h(s) be the third derivative of -s**7/105 + 13*s**6/30 - 46*s**5/15 + 22*s**4/3 - 1538*s**2. Suppose h(n) = 0. What is n?
0, 2, 22
Let v(r) = -2*r**2. Suppose -27*m = 10*m - 37. Let s(f) = -3*f**2 + 84*f + 588. Let l(i) = m*s(i) - 3*v(i). Find c, given that l(c) = 0.
-14
Let q(t) = -39*t - 120. Let w(p) = 8*p + 24. Let i(o) = 5*q(o) + 24*w(o). Let v be i(-9). Factor 2*l**v + 59*l**2 - 6*l**3 - 63*l**2.
-4*l**2*(l + 1)
Suppose 0*j + 69 = 52*j - 35. Let f = 6 + -3. Solve 4*q**j + 6*q**2 - 5*q**f + 0*q**2 + 160*q**5 - 10*q**4 - 155*q**5 = 0 for q.
-1, 0, 1, 2
Factor -144*a**3 + 3511*a - 1444 - 775*a + 316*a**4 - 1144*a**2 - 320*a**4.
-4*(a - 1)**2*(a + 19)**2
Let n(k) = 503*k**2 + 562*k + 67. Let i(z) = -168*z**2 - 187*z - 22. Let c(t) = 8*i(t) + 3*n(t). Factor c(r).
5*(r + 1)*(33*r + 5)
Let d(w) be the first derivative of 0*w**3 + 1/14*w**4 + 18 + 0*w + 0*w**5 + 0*w**2 - 1/21*w**6. Factor d(c).
-2*c**3*(c - 1)*(c + 1)/7
Find w such that -4/5*w**3 + 18/5*w**2 - 2/5*w**4 - 16/5 + 4/5*w = 0.
-4, -1, 1, 2
Let -3808/11*n - 3625216/11 - 1/11*n**2 = 0. Calculate n.
-1904
Let d = 1058082 - 1058079. Suppose -1/7*z**d + 22/7 - 10/7*z**2 + 13/7*z = 0. What is z?
-11, -1, 2
Determine s so that 4*s**4 - 17*s**2 - 1/4*s**5 - 17/2*s**3 + 35/4*s + 13 = 0.