**2. Let k(v) = -v**2 + 1. Let a(o) = -8*k(o) - x(o). Factor a(d).
2*(d - 89)**2
Let r(l) be the second derivative of -1/15*l**5 + 1/3*l**2 - 1 + l + 1/9*l**4 - 1/15*l**6 + 1/3*l**3 - 1/63*l**7. Factor r(i).
-2*(i - 1)*(i + 1)**4/3
Let y be (192/700)/(126/135). Let b = y - 2/245. Factor -b*v**5 - 2/7 - 10/7*v**4 - 20/7*v**3 - 10/7*v - 20/7*v**2.
-2*(v + 1)**5/7
Let q(y) = -17*y**2 + 19*y - 11. Suppose -5*w + 105 = 6*t - 7*t, -15 = -3*t. Let d(i) = 4*i**2 - 5*i + 3. Let n(z) = w*d(z) + 6*q(z). Factor n(o).
-2*o*(7*o - 2)
Let s(h) = 198*h**2 - 20397*h + 314. Let f be s(103). Determine x so that -2/3*x**f + 644/3*x**2 + 170*x - 508/3*x**3 - 22*x**4 - 578/3 = 0.
-17, -1, 1
Let m(s) be the second derivative of -2/3*s**4 - 6/5*s**5 - 152*s - 2/15*s**6 + 2/21*s**7 + 6*s**2 + 10/3*s**3 + 0. Find j, given that m(j) = 0.
-1, 1, 3
Let q(i) = 2*i**3 - 38*i**2 + 394*i - 1004. Let x(k) = -k**2 - k - 2. Suppose 0 = -6*b - 4 - 2. Let a(o) = b*q(o) - 10*x(o). Factor a(d).
-2*(d - 8)**3
Let f be 2/(-8) + 86/88. Let r = 33672/185185 + -2/185185. Suppose -6/11*b**3 - r*b**4 + 0 + f*b + 0*b**2 = 0. What is b?
-2, 0, 1
Suppose 4*f + 5*v - 96 = 0, 0 = 19*f - 16*f + 5*v - 77. Let y(o) be the third derivative of -2/7*o**3 - f*o**2 - 1/210*o**5 + 5/84*o**4 + 0 + 0*o. Factor y(p).
-2*(p - 3)*(p - 2)/7
Let t be (14/36)/(-7)*(48 - -16 - 68). Factor 4/9 - t*w + 2/9*w**3 - 4/9*w**2.
2*(w - 2)*(w - 1)*(w + 1)/9
Let b(m) be the third derivative of -m**6/24 + m**5/12 + 25*m**4/6 - m**2 + 326. Solve b(g) = 0.
-4, 0, 5
Suppose 15*k - 4*r + 11 = 12*k, -k + 4*r = 17. Let m be (5 - (-426)/(-84))/(k/(-12)). Factor -2/7 + 4/7*z - m*z**2.
-2*(z - 1)**2/7
Let b(g) be the third derivative of g**6/40 + 91*g**5/10 + 7905*g**4/8 - 17298*g**3 + 2165*g**2. What is j in b(j) = 0?
-93, 4
Let n be -10*((-2)/(-16) - (-210)/(-80)). Let 6*b - n*b + b**2 - 6*b - 9*b = 0. Calculate b.
0, 34
Let u = -104/1449 - -46888/7245. Suppose -u - 2/5*o**2 + 16/5*o = 0. What is o?
4
Suppose -3*h + 12*w - 30 = 17*w, h + 3*w = -10. Let n(s) = -9*s - 49. Let k be n(h). Factor k*q**4 + 5*q**2 - 3*q**3 - 2*q**3 + 5*q - 46*q**4.
-5*q*(q - 1)*(q + 1)**2
Let f(m) be the second derivative of m**4/32 - 130*m**3 + 202800*m**2 - 144*m - 2. Let f(k) = 0. Calculate k.
1040
What is p in 14*p**2 - 582*p + 285*p - 7*p**2 - 2*p**2 - 713*p = 0?
0, 202
Let u(n) be the first derivative of -37 - 25/9*n**2 + 28/27*n**3 + 8/3*n - 1/18*n**4. Let u(m) = 0. What is m?
1, 12
Let r = 21421 - 21418. Let q(f) be the first derivative of -8*f - 4/5*f**5 - f**4 + 2*f**2 + 4*f**r + 24. Factor q(i).
-4*(i - 1)**2*(i + 1)*(i + 2)
Let o(b) = -17166*b - 34302. Let t be o(-2). Factor -t - 3/8*d**2 + 243/8*d.
-3*(d - 80)*(d - 1)/8
Let k = 13136 + -39407/3. Suppose 2/3*j**3 + 4/3*j**2 - 2/3*j - 1 - k*j**4 = 0. Calculate j.
-1, 1, 3
Determine v so that -159/2 - 1/4*v**2 - 109/4*v = 0.
-106, -3
Factor -2*m**4 + 93*m**3 - 8415*m - 3135*m**2 + 2*m**4 - 280*m**3 - 178*m**3 + 5*m**4 - 7290.
5*(m - 81)*(m + 2)*(m + 3)**2
Suppose -2060*v**2 + 1030*v**2 - 190*v + 1025*v**2 + 840 = 0. Calculate v.
-42, 4
Let v(n) = -n**3 - n + 1. Let p(o) = 11*o**3 - 20*o**2 + 31*o - 16. Let k = -218 - -224. Let r(y) = k*v(y) + p(y). What is i in r(i) = 0?
1, 2
Let l(t) be the third derivative of t**7/105 - 23*t**6/10 + 1058*t**5/5 - 24334*t**4/3 - 2*t**2 - 853*t. Solve l(p) = 0 for p.
0, 46
Let y(g) be the first derivative of -g**5/20 - 7*g**4/16 + 13*g**3/6 + 9*g**2 + 4765. Determine a, given that y(a) = 0.
-9, -2, 0, 4
Let z(m) = -m**2 + 0*m**2 - 6 + 17 - 7*m. Let w be z(-8). Solve -2*g**4 - 7*g**w - 8*g - 4*g**4 - 2*g**4 + 20*g**2 + 3*g**3 = 0 for g.
-2, 0, 1/2, 1
Let o(s) be the first derivative of -s**7/630 - s**6/60 - 2*s**2 + 12*s + 25. Let g(h) be the second derivative of o(h). Factor g(v).
-v**3*(v + 6)/3
Let t(y) be the first derivative of 2*y**3/3 - 39*y**2 + 76*y + 701. Factor t(l).
2*(l - 38)*(l - 1)
Let s(j) be the second derivative of 4/3*j**2 - 1/30*j**5 + 39*j - 1/18*j**4 + 0 + 4/9*j**3. Factor s(h).
-2*(h - 2)*(h + 1)*(h + 2)/3
Let n be (-50)/(-7 - -12) + 4/2. Let i be n/(-70) + 40/140. Suppose -12/5 + 2/5*w**3 - i*w + 12/5*w**2 = 0. What is w?
-6, -1, 1
Solve 0*t + 3/5*t**3 - 42/5*t**2 + 0 = 0.
0, 14
Let l be 236*((-3)/(-12) - 0). Suppose k + l = 4*q, 4*k + 56 = 3*q + q. Suppose -22*h + 20*h - 3*h**2 - q + 20*h = 0. Calculate h.
1, 5
Suppose -31/6*r**2 - 1/6*r**3 + 10 - 14/3*r = 0. Calculate r.
-30, -2, 1
Suppose 48*p - 12451 = -12259. Let 21/2*t**p + 0 + 30*t**3 + 25/2*t**2 + t**5 + 0*t = 0. What is t?
-5, -1/2, 0
Let b(v) be the second derivative of v**5/5 + 35*v**4/3 + 400*v**3/3 - 4000*v**2 + 7237*v. Find h such that b(h) = 0.
-20, 5
Let n(r) = r**3 + 9*r**2 - 6*r - 7. Let a be n(-6). Factor -45*y - 135 + 11*y**2 + a*y**3 - 132*y**3 + 4*y**2.
5*(y - 3)*(y + 3)**2
Suppose 331 = 285*c + 331. What is y in -12/7*y**3 + 2*y**4 + c - 2*y**2 + 8/7*y**5 + 4/7*y = 0?
-2, -1, 0, 1/4, 1
Suppose -8 = -4*o - 2*j, 4*o = 2*o - 2*j + 2. Let u be -9 + 6 + (-23)/o*-1. Factor 8/9 + u*v**2 + 2*v**3 + 32/9*v.
2*(v + 1)*(3*v + 2)**2/9
Let c be (135/18 - 7)*-8. Let k be 1*c + 35/5. Factor 2/3*f**2 - 1/6*f - f**k + 0 + 2/3*f**4 - 1/6*f**5.
-f*(f - 1)**4/6
Let s(k) be the third derivative of -k**6/180 - 11*k**5/5 + 601*k**4/36 - 134*k**3/3 + k**2 + 1087*k. Let s(a) = 0. Calculate a.
-201, 1, 2
Let d be (-6)/21 - (117/7 + 3). Let c be d/80 - (195/12)/(-5). Factor -18/5*w - 8/5 - 2/5*w**c - 12/5*w**2.
-2*(w + 1)**2*(w + 4)/5
Let r(l) be the second derivative of l**5/35 + 248*l**4/7 + 92256*l**3/7 + 2521*l. Factor r(j).
4*j*(j + 372)**2/7
Let o(c) = 2*c. Let s(w) = 16*w - 23. Let k(j) = 21*o(j) - 3*s(j). Let b be k(10). Factor 729*d + b*d**3 - 6561/4 - 243/2*d**2 - 1/4*d**4.
-(d - 9)**4/4
Let p(g) = -7*g**2 + 74*g + 156. Let c(s) = -6*s**2 + 70*s + 156. Let f(v) = 9*c(v) - 8*p(v). Suppose f(r) = 0. Calculate r.
-13, -6
Factor 0 + 1/6*p**4 - 17/6*p**3 - 13/2*p + 55/6*p**2.
p*(p - 13)*(p - 3)*(p - 1)/6
Let o(j) = 4*j**3 + 125*j**2 + 1250*j + 3990. Let w(q) = -2*q**3 - 62*q**2 - 620*q - 1996. Let a(s) = 2*o(s) + 5*w(s). Suppose a(v) = 0. Calculate v.
-10
Let g(p) be the first derivative of 0*p**3 + 1/50*p**6 + 0*p**4 + 0*p**5 + 0*p**2 + 16 - 22*p. Let q(r) be the first derivative of g(r). Factor q(m).
3*m**4/5
Suppose -8*n + 3*n + 4*d = -26, 8 = 2*n - d. Determine r so that -46*r**2 + 3786 - 2244*r - 386*r**n - 20*r**3 - 2818 = 0.
-11, 2/5
Find i such that 222/5*i + 0*i**2 - 2/5*i**3 + 44 = 0.
-10, -1, 11
Let t(p) = -p**2 - 28*p - 57. Let g be t(-16). Let j be (-1)/3 + 3 + (-198)/g. Let j*w**2 + 0*w + 0 - 9/5*w**3 + 3/5*w**4 = 0. What is w?
0, 1, 2
Factor 1/7*v**4 + 244/7*v**2 + 1600/7 - 36/7*v**3 + 1440/7*v.
(v - 20)**2*(v + 2)**2/7
Let u(h) be the second derivative of -h**7/504 - h**6/90 + 2*h**5/15 + 993*h. What is a in u(a) = 0?
-8, 0, 4
Let j(q) be the third derivative of q**8/2184 + 2*q**7/455 - q**6/78 - 2*q**5/39 + 3*q**4/52 + 14*q**3/39 - 995*q**2 + q - 1. Find m such that j(m) = 0.
-7, -1, 1, 2
Let b(h) be the third derivative of -h**7/105 + 4*h**6/15 - 26*h**5/15 + 4*h**4 + 266*h**2. Factor b(i).
-2*i*(i - 12)*(i - 2)**2
Factor -139*n**2 - 137*n**2 + 415*n**2 - 142*n**2 - 19*n + 4*n - 12.
-3*(n + 1)*(n + 4)
Let i(p) be the second derivative of -p**3/3 + 5*p**2 - 10*p. Let k be i(4). Factor -10*w + 3*w**3 + 4*w**2 + 6*w - 5*w**3 + 2*w**k.
-2*w*(w - 2)*(w - 1)
What is f in 16 - 56/3*f - 2/3*f**3 + 20/3*f**2 = 0?
2, 6
Factor 368/5*h**2 - 1118/5*h + 748/5 + 2/5*h**3.
2*(h - 2)*(h - 1)*(h + 187)/5
Let m be 8/10*45/9. Factor 20*d**2 + d - 16*d**3 - 9*d + 13*d**m - 27*d**4 + 18*d**4.
4*d*(d - 2)*(d - 1)**2
Find v, given that 0 - 5/3*v**5 + 16/3*v**2 + 35/3*v**3 + 2/3*v**4 - 4*v = 0.
-2, -1, 0, 2/5, 3
Suppose -21*a = -199 - 305. Suppose -37*j + 49*j = a. Find w such that 16/5*w**j + 0 + 4*w**3 + 0*w - 10*w**4 = 0.
-2/5, 0, 4/5
Let r be (78 - 34848/440)*70/(-9). Factor -r*f**4 - 36 + 24*f**2 + 40/3*f**3 - 36*f + 4/3*f**5.
4*(f - 3)**3*(f + 1)**2/3
Let y be (-10540)/(-120) - 2/(-12). Find k such that -y*k**2 + 53*k**2 + 39*k**2 + 96*k - 100 = 0.
-25, 1
Let m(u) = 11*u**2 - 2*u - 3. Let b be m(-2). Let s = 164 - 162. Find o such that 4*o + 21 + s*o**2 - b + 26 = 0.
-1
Suppose -4*t - 72 = -4*p, p + 4*t - 4 = -1. Let n = p - 11. Determine h, given that n*h**2 + 0*h**3 + h**5 - 2*h -