2 + 347*i - 2116. Let a be y(6). Factor 0 + 20/13*f - 2/13*f**a.
-2*f*(f - 10)/13
Let h(p) be the third derivative of -p**6/200 + 2*p**5/25 - p**4/8 - 5*p**3 - 111*p**2 - 3*p. Find v, given that h(v) = 0.
-2, 5
Suppose 18*m = 27*m + 90. Let f be ((-3)/(90/4))/(1/m). Factor 4/3*r**2 + 0 - f*r.
4*r*(r - 1)/3
Let s(x) = x**3 - 70*x**2 - 155*x + 1140. Let g be s(72). Find z, given that g*z**2 - 49/2*z**4 + 24 - 176*z - 84*z**3 = 0.
-6, 2/7, 2
Let a(i) = -i**5 - 2*i**4 + i**3 + 2*i**2 - i. Let t(r) = 4*r**5 + 6*r**3 - 10*r**2 + 5*r. Let q(g) = -15*a(g) - 3*t(g). Solve q(k) = 0 for k.
-11, 0, 1
Let c(r) be the third derivative of r**6/60 - 97*r**5/180 + 53*r**4/36 - 5*r**3/6 + 332*r**2. Solve c(p) = 0 for p.
1/6, 1, 15
Let v(m) be the second derivative of m**7/63 - 7*m**6/45 + 3*m**5/5 - 10*m**4/9 + 8*m**3/9 - 4*m + 13. Let v(l) = 0. Calculate l.
0, 1, 2
Let s(n) = -16*n**3 + 74*n**2 + 32*n - 7. Let g be s(5). Let 238/9*r - 196/9 - 22/9*r**g - 2/9*r**4 - 2*r**2 = 0. What is r?
-7, 1, 2
Suppose 11*w - 10*w = -2*o + 6, 36 = 4*o - 4*w. Solve -9 + 224*t - 113*t + 0*t**2 + o*t**2 - 123*t = 0.
-3/5, 3
Let s(h) be the second derivative of -3*h**5/10 + h**3/2 - h**2 + 14*h. Let u be s(-2). Suppose -u - 24*w - 146 - w**2 + 42 = 0. What is w?
-12
Solve 1/3*h**4 + 1/6*h**5 - 1/6*h**3 - 1/3*h**2 + 0*h + 0 = 0.
-2, -1, 0, 1
Suppose 0 = -12*z - 12*z - 3936. Let r = -812/5 - z. Determine x, given that -r - 1/10*x**2 + 4/5*x = 0.
4
Let m(z) = 9*z**3 + 76*z**2 + 225*z + 246. Let h(k) = -8*k**3 - 72*k**2 - 225*k - 247. Let u(i) = 4*h(i) + 3*m(i). Determine b, given that u(b) = 0.
-5, -2
Let i(c) be the second derivative of c**6/630 + c**5/210 - c**4/21 + 17*c**3/3 - 29*c - 1. Let j(w) be the second derivative of i(w). Find m such that j(m) = 0.
-2, 1
Suppose 509232/7 - 4078800/7*z + 1406040*z**2 - 6333360/7*z**3 + 8685*z**4 - 21*z**5 = 0. Calculate z.
2/7, 1, 206
Let i(q) be the first derivative of -15*q + 1/17*q**2 - 1/102*q**4 + 0*q**3 - 9. Let x(b) be the first derivative of i(b). Let x(m) = 0. What is m?
-1, 1
Suppose 34*i + 12 = 36*i. Let g be ((-748)/(-51) + -14)*i/8. Solve 0*n - g*n**2 - 1/4*n**3 + 0 = 0.
-2, 0
Let d(y) = -6*y**2 + 321*y + 1002. Let m(t) = 5*t**2 - 321*t - 998. Let r(k) = -2*d(k) - 3*m(k). Let r(v) = 0. What is v?
-3, 110
Let h(f) = 3*f**2 + 640*f - 102406. Let d(u) = 2*u**2 - 3. Let s(o) = -4*d(o) + 2*h(o). Let s(c) = 0. What is c?
320
Determine t so that 72*t - 119*t + 87*t + 0*t**3 - t**3 + 3*t**2 = 0.
-5, 0, 8
Let p = -85733/5 + 1796033/105. Let a = -286/7 - p. Factor 0 + 1/3*h**4 + 0*h + a*h**2 - h**3.
h**2*(h - 2)*(h - 1)/3
Let -985*d**2 + 1/6*d**5 - 1089/2 + 2607/2*d + 713/3*d**3 - 71/6*d**4 = 0. What is d?
1, 3, 33
Factor 20*s**3 - 543*s**2 + 96 - 272*s + 313*s**2 + 302*s**2.
4*(s - 2)*(s + 6)*(5*s - 2)
Suppose -88*j = -76*j - 36. Find y such that -8 + 28 - 6*y**4 - 3*y**5 + 9*y**j - 2 - 18 = 0.
-3, 0, 1
Let w(c) be the first derivative of c**6/2520 - c**5/280 + 13*c**3/3 - 3*c**2/2 + 100. Let z(v) be the third derivative of w(v). Find s such that z(s) = 0.
0, 3
Let r(z) be the second derivative of z**7/189 + 2*z**6/15 - 14*z**5/45 - 91*z**4/27 - 71*z**3/9 - 76*z**2/9 - z + 805. Find d, given that r(d) = 0.
-19, -1, 4
Let o be (2*729/(-12))/((-6)/(-16)). Let y = o - -1623/5. Find q, given that -2/5 + 3/5*q**4 - 7/5*q**3 + 3/5*q**2 + y*q = 0.
-2/3, 1
Let -50 - 126 - 468*m - 8*m**3 + 25*m**5 + 48*m**4 - 352*m**2 - 29*m**5 = 0. Calculate m.
-1, 4, 11
Suppose 2*b + 3*t - t = 134, 5*t - 143 = -2*b. Let n = -59 + b. Find j such that -35 + 9*j + 5*j**2 - 4*j + n = 0.
-3, 2
Suppose 115 = 2*j + 5*f, -4*j + 5*f = 7*f - 190. Let 2*a**5 + 104*a**3 - 17*a**3 - 36*a**4 + j*a**3 + 30*a**3 = 0. Calculate a.
0, 9
Suppose 828 = 13*g - 420. Factor 34 - g*u + 2 + 346*u**2 + 3*u**4 - 258*u**2 + u**4 - 32*u**3.
4*(u - 3)**2*(u - 1)**2
Let s(g) be the third derivative of 0 + 1/5*g**3 + 0*g + 2/25*g**5 - 34*g**2 + 1/6*g**4 + 1/50*g**6 + 1/525*g**7. What is m in s(m) = 0?
-3, -1
Let c = -52985 - -52987. Find t such that -3/5*t**c - 6 - 33/5*t = 0.
-10, -1
Let x(f) be the first derivative of -5*f**4/4 + 311*f**3 - 59529*f**2/2 + 1250229*f + 229. Let s(d) = -2*d**2 + d - 1. Let y(p) = 6*s(p) - x(p). Factor y(l).
5*(l - 63)**3
Let s(j) = -5*j + 57. Let g be s(11). Find d such that 631 + 7*d - 1264 - g*d + 10*d**2 + 628 = 0.
-1, 1/2
Let x(v) be the second derivative of v**8/2240 - v**7/105 - 5*v**4/4 - v**3/6 - 30*v. Let o(r) be the third derivative of x(r). Factor o(g).
3*g**2*(g - 8)
Suppose -50 = 5*c - 2*t, 2*c - 100*t + 95*t + 41 = 0. Let i be c*((-18)/(-45) - 27/30). Factor -2/3*d**5 - 28/3*d**3 - 6*d - 32/3*d**2 - 4/3 - 4*d**i.
-2*(d + 1)**4*(d + 2)/3
Let c(r) = -3*r**2 + 453*r - 400. Let h(k) = -20*k**2 + 2944*k - 2604. Let w(i) = 32*c(i) - 5*h(i). Factor w(n).
4*(n - 55)*(n - 1)
Let u(d) be the first derivative of -4*d**3/3 + 58*d**2 - 672*d + 567. Solve u(w) = 0 for w.
8, 21
Let g(k) be the third derivative of 19/30*k**5 - 5/24*k**6 - 1/336*k**8 + 3*k + 4/105*k**7 - 7/6*k**4 + 4/3*k**3 + 0 + 2*k**2. Factor g(q).
-(q - 2)**3*(q - 1)**2
Let w(s) be the third derivative of s**7/350 + s**6/50 - s**5/100 - s**4/10 - 2*s**2 - 410*s. Suppose w(l) = 0. What is l?
-4, -1, 0, 1
Suppose -5*f + 3*x = 0, 0*x = -3*f - x. Suppose f*o = -r + 5*o + 23, -4*o = 2*r + 10. Factor 5 - k**4 + r*k + 5 + k - 18 - k**3 + 6*k**2.
-(k - 2)*(k - 1)*(k + 2)**2
Let p(k) be the second derivative of k**4/12 - 5*k**3/2 + 7*k**2 - 1883*k. Determine j, given that p(j) = 0.
1, 14
Let w(n) be the third derivative of -5*n**8/1008 + 11*n**7/126 - 11*n**6/36 - 7*n**5/9 + 65*n**4/9 - 160*n**3/9 - 14*n**2 - 161. Suppose w(b) = 0. Calculate b.
-2, 1, 2, 8
Suppose -122/3 - 1/3*r**2 + 41*r = 0. What is r?
1, 122
Let y be (-6)/(-8) + (-10590)/40. Let b = -1847/7 - y. Factor b*n - 1/7*n**2 + 0.
-n*(n - 1)/7
Suppose 0 = -0*m + 3*m - 3*f - 15, -19 = -4*m + 5*f. Determine k so that -568*k**4 + 0*k**3 + 565*k**4 + m*k**3 = 0.
0, 2
Suppose -95*x + 16*x + 34*x = 119*x. Suppose 0*r - r = 0. Solve r*j**2 + x*j - 2/17*j**3 + 0 = 0.
0
Let s = 1744/35 - 1684/35. Factor 16/7 - s*f + 2/7*f**2.
2*(f - 4)*(f - 2)/7
Let s(n) be the third derivative of -n**6/72 - n**5/24 + 4*n**3/3 + 232*n**2. Let b(y) be the first derivative of s(y). Determine z, given that b(z) = 0.
-1, 0
Let p(v) be the first derivative of -3/5*v**5 - 9/2*v**2 + 9/4*v**4 - v**3 + 6*v - 22. Find j such that p(j) = 0.
-1, 1, 2
Let z(a) = 0 + a**3 + 367*a**2 - 366*a**2 - 1. Let g(k) = -28*k**2 + 32*k - 7. Suppose -9 = 3*y - 3. Let q(o) = y*g(o) - 10*z(o). What is p in q(p) = 0?
3/5, 2
Let u = 10/16599 - -49757/66396. Determine i so that 0 + u*i + 1/4*i**2 = 0.
-3, 0
Let n be (-1 - (3 + -2 - 2))/2. Suppose -x - r + 8 = n, -2*r - 1 + 7 = 0. Solve 0 - 1/2*g**4 + 0*g + 1/2*g**2 + 1/2*g**x - 1/2*g**3 = 0 for g.
-1, 0, 1
Let -52*i**2 + 16*i + 204 + 148 + 196 - 548 - 16*i**3 + 52*i**4 = 0. Calculate i.
-1, 0, 4/13, 1
Let m(j) be the first derivative of -3*j**5/5 - 591*j**4/2 - 38413*j**3 + 117018*j**2 - 117612*j - 6103. Factor m(r).
-3*(r - 1)**2*(r + 198)**2
Let n(d) = d**2 - d + 1. Let c(y) = y**3 - 10*y**2 + 16*y - 12. Let o = 313 + -317. Let v(q) = o*n(q) - c(q). Determine z so that v(z) = 0.
2
Find q, given that -4*q**2 + 1796*q - 1249924 + q**2 - 869*q + 3545*q - q**2 = 0.
559
Suppose 1542262*t - 292 = 1542116*t. Factor t*n + 44/9 - 2/9*n**2.
-2*(n - 11)*(n + 2)/9
Let i be 6/15 + 27/45 + -1. Suppose x - 4 = 2*o, 2*x - 5*o + 8*o + 6 = i. Factor 0*v - 4/5*v**3 + 2/5*v**2 + x + 2/5*v**4.
2*v**2*(v - 1)**2/5
Determine p, given that 2/11*p**4 + 5036/11*p**3 - 6345360/11*p + 3175200/11 + 3165122/11*p**2 = 0.
-1260, 1
Factor -2*q**4 + 18*q**4 - 135*q**3 - 2*q**5 + 900*q**2 + 445*q**3.
-2*q**2*(q - 18)*(q + 5)**2
Let d(h) be the first derivative of 2/5*h**5 + 0*h**2 + 201 + 0*h - 11/2*h**4 + 12*h**3. Factor d(b).
2*b**2*(b - 9)*(b - 2)
Let d(i) be the second derivative of 7 - 9*i**2 - 1/96*i**4 + 1/2*i**3 - 2*i. Factor d(s).
-(s - 12)**2/8
Determine f so that -2/15*f**2 - 46/15*f + 16/5 = 0.
-24, 1
Let n(p) be the second derivative of 3 - 1/16*p**4 - 3*p - 3/80*p**5 + 0*p**2 + 0*p**3. Let n(t) = 0. Calculate t.
-1, 0
Let x(y) = -139*y**2 + 695*y + 3. Let g be x(5). Factor -192*m + 8*m**2 + 1536 - 1/9*m**g.
-(m - 24)**3/9
Let n(u) = u**3 - 16*u**2 + 8*u + 1