3 - 391495*v + 391707*v.
2*(v + 1)*(v + 15)*(6*v + 1)
Let c(x) = 23*x - 202. Let g be c(22). Let q = 2740/9 - g. Factor 2/9*y - 2/9*y**2 + q.
-2*(y - 2)*(y + 1)/9
Let f(z) be the first derivative of z**4/8 - 265*z**3/12 + 2211*z**2/2 - 1089*z + 327. Factor f(c).
(c - 66)**2*(2*c - 1)/4
Factor -26*l**2 - 120*l**5 + 441*l + 121*l**5 + 28*l**2 - 442*l**3 - 221 + 219*l**4.
(l - 1)**3*(l + 1)*(l + 221)
Let w(c) = 13*c**4 - 93*c**3 + 76*c**2 + 57*c - 80. Let x(p) = 7*p**4 - 49*p**3 + 38*p**2 + 29*p - 40. Let d(h) = -5*w(h) + 9*x(h). What is i in d(i) = 0?
-1, 1, 2, 10
Let u be 114/10 + 1 - (-4368)/(-364). Factor -4/5*o + u*o**2 - 16/5.
2*(o - 4)*(o + 2)/5
Let a(o) be the second derivative of -3*o**5/250 - 1376*o**4/75 + 612*o**3/25 - 3816*o. Let a(v) = 0. Calculate v.
-918, 0, 2/3
Suppose -5*v - 38 = -2*f, -5*v + 4*f + 153 = 229. Determine d so that 1/5*d**2 + v - 4/5*d = 0.
0, 4
Let f(c) = -51*c**2 - 804*c + 315. Let h(s) = -25*s**2 - 403*s + 160. Let p(o) = -4*f(o) + 9*h(o). Factor p(x).
-3*(x + 20)*(7*x - 3)
Let x(f) be the third derivative of -f**5/20 - 170*f**4 + 1362*f**3 - 2138*f**2. Factor x(o).
-3*(o - 2)*(o + 1362)
Let l = -1423479/5 + 284697. Solve 4/5 + l*f**2 + 1/5*f**3 + 9/5*f = 0.
-4, -1
Suppose -24*w = 13*w + 4884. Let z be (4 - 2)/(w/(-84)*7). Factor 0 + z*m - 2/11*m**2.
-2*m*(m - 1)/11
Suppose q = 3*r + 39, 80033*q - 80036*q + 77 = -r. Let q*p**2 + 49/2*p**5 + 0 + 92*p**3 + 0*p + 203/2*p**4 = 0. Calculate p.
-3, -4/7, 0
Let h = -383/6 + 1537/24. Let q(y) be the third derivative of -h*y**4 + 0*y + 0 + y**3 - 7*y**2 + 1/60*y**5. Solve q(a) = 0 for a.
2, 3
Let w(y) be the second derivative of 0*y**3 - 3/40*y**5 + 0 + 0*y**2 + 3/8*y**4 - 91*y. Let w(b) = 0. Calculate b.
0, 3
Let h(l) = 19038*l + 38076. Let i be h(-2). Let -9/2*v + 3/2*v**2 + i = 0. What is v?
0, 3
Let b(k) = -k**2 - 10*k - 8. Let c be b(-5). Suppose -1349*g**3 + 1348*g**3 - 9 - 6*g**2 - g**2 + 0*g**2 + c*g = 0. What is g?
-9, 1
Suppose 12*n + 3*s - 60 = 0, -408*n = -407*n + 5*s - 62. What is h in 0*h**3 + 0*h**4 + 0*h + 0*h**n + 2/11*h**5 + 0 = 0?
0
Let m = -34 - -36. Suppose 3*r + 23 = 5*r + x, -5*r + 60 = m*x. Solve -12*s**3 - 5*s**4 + 12*s - 5*s**4 - 4*s**2 - 8*s**4 + 8 + r*s**4 = 0 for s.
-2, -1, 1
Let d(x) = -609*x**4 - 315*x**3 - 46*x**2. Let y(q) = -7*q**4 + q**3 + 2*q**2. Let p(w) = -2*d(w) - 10*y(w). Factor p(c).
4*c**2*(7*c + 2)*(46*c + 9)
Let l(q) be the first derivative of -q**4/26 - 904*q**3/39 - 51076*q**2/13 + 3736. Factor l(s).
-2*s*(s + 226)**2/13
Let t = 9760/6969 - 156/2323. Factor 0 + t*w**5 + 64/3*w**2 + 0*w + 44*w**3 + 24*w**4.
4*w**2*(w + 1)**2*(w + 16)/3
Suppose 0 = 606*g - 602*g - 3300. Let l be ((-1)/(-10))/(66/g). Suppose t**2 + 0*t + 1/4*t**4 + l*t**3 + 0 = 0. Calculate t.
-4, -1, 0
Let 1/9*u**5 - 466/9*u**2 + 88/3*u**3 - 56/9*u**4 - 34/3 + 359/9*u = 0. What is u?
1, 2, 51
Let p(g) = -10*g**4 - g**3 + 8*g**2 + 9*g - 6. Let d(i) = 2*i**4 - i**3 - 3*i + 2. Let h(w) = 3*d(w) + p(w). Solve h(y) = 0 for y.
-2, 0, 1
Let z(a) be the third derivative of -1/6*a**4 + 1/210*a**7 - 14*a**2 + 0 + 0*a**3 + 0*a**5 - 3*a + 1/40*a**6. Let z(m) = 0. What is m?
-2, 0, 1
Let m(z) = -380*z**3 - 2655*z**2 - 9385*z + 2540. Let y(v) = 170*v**3 + 1180*v**2 + 4171*v - 1129. Let a(r) = 9*m(r) + 20*y(r). Solve a(l) = 0.
-8, -7, 1/4
Let p be (-732)/(-3)*((-10)/(-4) - 1). Suppose p = 6*q - 1830. Suppose -q*k**3 + 368*k**3 + 3*k**4 + 3*k**2 - 3*k**2 - k**2 = 0. Calculate k.
-1, 0, 1/3
Let c(x) = -x**2 - 223*x + 4080. Let a be c(-240). Factor a*t - 12/5*t**2 - 8/5*t**3 + 0 + 1/5*t**5 + 1/5*t**4.
t**2*(t - 3)*(t + 2)**2/5
Let d(r) be the first derivative of -r**4/10 + 628*r**3/15 + 949*r**2/5 + 1268*r/5 - 6446. Factor d(g).
-2*(g - 317)*(g + 1)*(g + 2)/5
Let z(n) be the first derivative of -n**4/60 + 3*n**3/5 - 17*n**2/10 + 17*n + 19. Let d(o) be the first derivative of z(o). Factor d(q).
-(q - 17)*(q - 1)/5
Let -12/7*m**4 - 2/7*m**3 + 2/7*m + 12/7*m**2 + 0 = 0. What is m?
-1, -1/6, 0, 1
Let b(u) be the first derivative of u**4/14 - 34*u**3/21 - 80*u**2/7 - 24*u + 328. Factor b(p).
2*(p - 21)*(p + 2)**2/7
Let y be 0 + 7 + -8 - 5. Let a(o) = 120*o**2 - 175*o - 230. Let r(i) = 11*i**2 - 16*i - 21. Let z(m) = y*a(m) + 65*r(m). Find b such that z(b) = 0.
-1, 3
Let f(a) be the third derivative of -a**5/120 - 17*a**4/12 - 289*a**3/3 - 3070*a**2. Factor f(c).
-(c + 34)**2/2
Let d = 172233/5 - 34431. Determine z, given that 33/5*z + d*z**3 + 72/5*z**2 + 6/5 + 42/5*z**4 + 9/5*z**5 = 0.
-1, -2/3
Let 1028/3*w**3 + 98/3*w**4 - 3692/3*w**2 + 3898/3*w + 2/3*w**5 - 1334/3 = 0. Calculate w.
-29, -23, 1
Suppose 4*r - 32 = -20. Let d = 139 + -136. Determine y, given that d*y**4 - 15*y**2 - 21*y**3 + r*y**4 - y - 5*y + 18*y**3 = 0.
-1, -1/2, 0, 2
Let d(o) = -30*o**4 + 290*o**3 + 5*o**2 - 215*o - 50. Let u(q) = q**4 - q**3 - 2*q + 2. Let f(g) = -d(g) - 25*u(g). Find j, given that f(j) = 0.
-1, 0, 1, 53
Find t such that 596*t - 213 + 14*t**4 - 2293*t - 2288*t**2 + 2*t**5 - 682*t - 2741*t - 2859 - 228*t**3 = 0.
-8, -2, -1, 12
Let k = 2365239/193 + -12255. Let i = 24077/386 + k. Determine t so that -15/2*t**3 - 75/2*t**2 - i*t + 0 - 1/2*t**4 = 0.
-5, 0
Let o = 42 - 38. Let -6*p**4 + 5*p**o - 1018*p**2 - 5*p**3 + 1014*p**2 = 0. Calculate p.
-4, -1, 0
Let m(q) be the second derivative of 50*q**7/49 + 206*q**6/21 + 549*q**5/35 - 377*q**4/7 + 880*q**3/21 - 96*q**2/7 - 22*q - 18. Find z, given that m(z) = 0.
-4, 1/5, 1/3, 3/5
Suppose 41*o = -7*o + 2016. Let p be (-35)/30 + 1 - (-91)/o. Factor -2/3 - 5/6*n - 1/6*n**p.
-(n + 1)*(n + 4)/6
Let j = 535502 + -5890520/11. Let j*g**2 - 16/11 + 14/11*g = 0. Calculate g.
-8, 1
Factor -2510 + 94 + 2400*y - 497*y**3 - 492*y**3 - 588*y**2 + 985*y**3.
-4*(y - 2)**2*(y + 151)
Let u(n) = -94*n**2 - 211*n + 2073. Let g(o) = -25*o**2 - 53*o + 518. Let b(r) = 15*g(r) - 4*u(r). Suppose b(d) = 0. Calculate d.
-58, 9
Let v(c) be the third derivative of 0*c**3 + 113*c**2 + 0 + 1/140*c**7 + 0*c - 1/40*c**5 - 1/80*c**6 + 1/16*c**4. What is f in v(f) = 0?
-1, 0, 1
Suppose -4*m + 1743 = 5*i, -3*i = 4*m - 6*i - 1719. Let w be (48/m)/((-2)/(-384)). Determine c, given that 16/3*c**3 + 16*c**2 + 2/3*c**4 + w*c + 32/3 = 0.
-2
Let b(w) be the second derivative of -w**6/20 - 3*w**5/40 + 7*w**4 + 636*w. Factor b(c).
-3*c**2*(c - 7)*(c + 8)/2
Determine w, given that 30/11*w**2 - 8*w + 26/11 = 0.
1/3, 13/5
Let q(d) be the first derivative of -d**4/18 + 10*d**3/27 + d**2/9 - 10*d/9 - 656. Factor q(k).
-2*(k - 5)*(k - 1)*(k + 1)/9
Determine v so that -161/2*v**3 - 199/2*v**2 + 323/4*v - 1/4*v**5 + 361/4 + 37/4*v**4 = 0.
-1, 1, 19
Let z be 3/(-15)*-11 + (-4)/(-5). What is a in 17*a**2 + 5*a**z - 6*a + 7*a**4 - 3*a**4 - 11*a**3 - 33*a**2 = 0?
-1, -1/2, 0, 3
Let n(t) be the third derivative of t**6/40 - 23*t**5/10 + 84*t**4 - 1584*t**3 + 74*t**2 - 4*t. Factor n(c).
3*(c - 22)*(c - 12)**2
Let j(v) be the second derivative of 0*v**2 + 1/1440*v**6 + 13/6*v**3 + 0*v**4 + 0 + 1/80*v**5 - 8*v. Let t(n) be the second derivative of j(n). Factor t(s).
s*(s + 6)/4
Determine f, given that -4138*f**3 + 2062*f**3 + 2085*f**3 - 21*f**4 + 42*f - 3*f**5 + 69*f**2 = 0.
-7, -1, 0, 2
Suppose 40 = 5*g - 45. Suppose 4*v = g + 47. Determine x, given that 230*x**3 + 44*x**3 + 16*x - 19*x**2 - 88*x + 336*x**4 + 98*x**5 - 33*x**2 + v = 0.
-2, -1, 2/7
Let g(o) be the third derivative of o**8/1008 + o**7/210 - o**6/90 - 288*o**2 + o. Factor g(q).
q**3*(q - 1)*(q + 4)/3
Let j(d) = d**3 - 62*d**2 + 821*d - 4328. Let y(h) = 2*h**3 - 121*h**2 + 1641*h - 8657. Let i(a) = 7*j(a) - 4*y(a). Factor i(m).
-(m - 19)**2*(m - 12)
Suppose 934*k**3 - 70350*k**2 + 4240628 - 5*k**4 + 1494500*k + 904372 + 0*k**4 + 101*k**3 = 0. Calculate k.
-3, 70
Let u(k) be the first derivative of 0*k**3 + 1/30*k**5 + 1/180*k**6 - 2*k**2 + 0*k + 1/18*k**4 - 3. Let g(b) be the second derivative of u(b). Factor g(n).
2*n*(n + 1)*(n + 2)/3
Let g(u) be the second derivative of -31*u**5/10 - 35*u**4/12 + 92*u**3/3 + 6*u**2 - 4*u + 244. Factor g(z).
-(z + 2)*(2*z - 3)*(31*z + 2)
Let v = 287973 + -287971. Factor 2 + 2/7*c**v - 16/7*c.
2*(c - 7)*(c - 1)/7
Let v(o) = -o**2 + 4*o - 9. Let i(s) = 7*s**2 - 140*s - 140. Let w(u) = -3*i(u) - 24*v(u). Let w(q) = 0. What is q?
-106, -2
Let j be 2096/(-72312) + (-1867)/(-138). Let 3/4*l**5 + j + 57/2*l**3 + 51*l*