- 14*v - 31. Suppose -3*a - 9*d + 12*d - 30 = 0, 5*d = 2*a + 17. Let z be j(a). Factor 1/6*r + 2/3*r**4 + 1/2*r**5 + 1/3 - 2/3*r**3 - r**z.
(r - 1)*(r + 1)**3*(3*r - 2)/6
Let 1264*t**4 + 10*t**3 - 558*t**2 - 167*t**3 - 23*t**3 - 564*t - 189 - 631*t**4 - 630*t**4 = 0. What is t?
-1, 63
Let w = 20976/7 - 125849/42. Find h, given that -w*h + 1/6*h**3 + 1/6 - 1/6*h**2 = 0.
-1, 1
Let n(a) be the third derivative of -1/12*a**4 - 1/660*a**6 - 2*a + 0*a**3 + 0 + 90*a**2 - 2/55*a**5. Find r, given that n(r) = 0.
-11, -1, 0
Solve -237*f**3 - 465*f**2 - 81*f**5 - 14*f**4 - 408*f - 37*f**4 - 132 + 78*f**5 = 0.
-11, -2, -1
Let s(b) be the second derivative of -b**6/150 - 18*b**5/25 + 76*b**4/15 - 5562*b. Determine m, given that s(m) = 0.
-76, 0, 4
Let 0*j**4 - 468 - 140257*j - j**4 - 22*j**3 - 229*j**2 + 6*j**3 + 139693*j - 18*j**3 = 0. Calculate j.
-26, -3, -2
Let i(m) be the first derivative of 6*m**5/35 - 3*m**4/14 - 144*m**3/7 + 4633. Factor i(x).
6*x**2*(x - 9)*(x + 8)/7
Let v(s) be the second derivative of s**7/105 - 89*s**6/50 + 71*s**5/5 - 509*s**4/20 - 192*s**3/5 - 47*s + 11. Let v(j) = 0. What is j?
-1/2, 0, 3, 128
Let n(v) be the third derivative of -v**7/42 - 5*v**6/24 + 17*v**5/12 + 215*v**4/8 + 150*v**3 - 158*v**2 - 6. Suppose n(g) = 0. What is g?
-4, -3, 5
Solve 544 - 208*o**3 - 25*o**4 + 1176*o**2 + 4*o**4 + 9*o**4 - 1616*o + 4*o**4 - 28*o**3 = 0.
-34, 1/2, 2
Suppose -2*x = 2*x + p - 7, -2*x - 5*p - 1 = 0. Determine w, given that -16*w - 23*w**2 - x*w**3 - 4*w**2 + 7*w**2 + 2*w**4 = 0.
-2, -1, 0, 4
Let a(p) be the third derivative of 0*p**3 - 4/21*p**7 - 1/84*p**8 + 28*p**2 - 4/5*p**6 + 0 + 2/3*p**5 + 25/6*p**4 + 0*p. Suppose a(b) = 0. Calculate b.
-5, -1, 0, 1
Determine x so that 436178/5 + 2/5*x**2 - 1868/5*x = 0.
467
Let y be 53/4 - 2/8. Suppose 2*t + 3 - y = 0. Find v, given that 9 - 2*v**2 - 5 + t + 5*v**2 - 12*v = 0.
1, 3
Determine j so that -34*j**2 - 140*j**4 - 6*j**2 - 132*j**3 + 42*j + 161*j**4 - 71*j**2 = 0.
-1, 0, 2/7, 7
Factor -3/8*v**3 + 33/8*v - 45/4 + 3/2*v**2.
-3*(v - 5)*(v - 2)*(v + 3)/8
Let q = -87706 + 87718. Factor 3/2*h**3 - 3*h**2 + q - 6*h.
3*(h - 2)**2*(h + 2)/2
Let x(o) be the second derivative of o**4/16 - 365*o**3/8 - 549*o**2/4 + 1652*o. Factor x(h).
3*(h - 366)*(h + 1)/4
Let w = -1219547 - -1219547. Factor w + 22/9*k**4 + 0*k - 20/9*k**3 - 2/9*k**2.
2*k**2*(k - 1)*(11*k + 1)/9
Let a(z) be the first derivative of 0*z**5 + 0*z + z**4 + 0*z**3 - 2/15*z**6 - 8/5*z**2 - 62. Solve a(m) = 0 for m.
-2, -1, 0, 1, 2
Let h = 29946 + -29946. Let t(a) be the first derivative of h*a - 15 - 3/8*a**4 - 3/40*a**5 - 1/2*a**3 + 0*a**2. Determine z, given that t(z) = 0.
-2, 0
Let k(z) be the first derivative of 29/6*z**3 - 7/10*z**5 - 2*z + 7/4*z**4 + 2*z**2 + 22 - 1/3*z**6. Determine w, given that k(w) = 0.
-2, -1, 1/4, 2
Determine t so that 26*t**4 + 176*t - 3477*t**3 + 102*t**4 + 1162*t**3 + 5808 + 1085*t**3 + 1122*t**3 + 16*t**5 - 1964*t**2 = 0.
-11/2, -2, 2, 3
Let z(o) be the first derivative of -3*o**5/5 + 159*o**4/10 - 216*o**3/5 - 6279*o**2/5 + 507*o - 942. Determine n so that z(n) = 0.
-5, 1/5, 13
Factor 0*t + 0*t**2 - 1/6*t**5 - 2*t**3 + 0 + 4/3*t**4.
-t**3*(t - 6)*(t - 2)/6
Let u(g) be the second derivative of -5*g**2 - 1/6*g**6 + 16*g + 35/6*g**3 + 0 + 5/4*g**5 - 15/4*g**4. Let u(d) = 0. What is d?
1, 2
Suppose 2*q = 3*j - 8, 7*j - 11*j + 2*q + 10 = 0. Let 5*c**3 + 14*c**2 - 24*c - 4*c**j - 16*c = 0. Calculate c.
-4, 0, 2
Let m(i) be the first derivative of i**6/30 + i**5/10 - i**4/12 - i**3/3 + 60*i + 1. Let z(n) be the first derivative of m(n). Factor z(q).
q*(q - 1)*(q + 1)*(q + 2)
Let f(a) = 26*a**2 + 126*a + 441. Suppose -1 = 8*n - 17. Let d(u) = -38 - 21 - 56 - 9*u**n - 42*u - 32. Let t(j) = -17*d(j) - 6*f(j). Factor t(b).
-3*(b + 7)**2
Let n be -4*(7 - 1485/209). Suppose 2/19*z**3 - 4/19 + 10/19*z - n*z**2 = 0. Calculate z.
1, 2
Let z(o) be the first derivative of -5/4*o**4 + 0*o + 74 - 40/3*o**3 - 35/2*o**2. Suppose z(r) = 0. Calculate r.
-7, -1, 0
Let i(m) be the second derivative of -1/20*m**5 + 2/15*m**3 + 0*m**4 + 0*m**2 + 1/210*m**7 + 0*m**6 + 209*m + 0. Suppose i(x) = 0. Calculate x.
-2, -1, 0, 1, 2
Let u(d) be the third derivative of d**7/210 - 23*d**6/60 - 51*d**5/20 + 143*d**4/12 + 196*d**3/3 - 460*d**2. Let u(p) = 0. What is p?
-4, -1, 2, 49
Let u = -211702/323 + 88/969. Let a = u - -658. What is q in -a*q**2 - 4/3*q - q**3 + 2/3*q**4 + 1/3*q**5 + 0 = 0?
-2, -1, 0, 2
Solve -58*h**3 + 11*h**4 - 12*h + 155*h**3 - h**5 - 11*h**2 - 84*h**3 = 0 for h.
-1, 0, 1, 12
Let c = 1 + 9. Suppose 4*n = 9*n - c. Suppose -n*d**3 + 2*d - 4*d + d + 3*d = 0. Calculate d.
-1, 0, 1
Suppose 6*w + 2 = -58. Let n be w + 13 - (2 + -1). Factor 4*z**2 - 12*z**3 - 15*z**3 - 12*z**4 - 10*z**n.
-3*z**2*(z + 2)*(4*z + 1)
Let n(h) = h**3 - 3*h**2 - 1273 + 0*h - h**4 + 1272 + 2*h**2 + h. Let j(a) = -2*a**4 - 42*a**3 - 6*a**2 + 6*a - 6. Let r(u) = j(u) - 6*n(u). Factor r(m).
4*m**3*(m - 12)
Let a(z) be the first derivative of -z**4/46 - 10*z**3/69 + 2*z**2/23 + 48*z/23 - 1351. Suppose a(m) = 0. What is m?
-4, -3, 2
Let w = -78166 - -78168. Factor -2/9*v**w - 200/9 + 40/9*v.
-2*(v - 10)**2/9
Let d = -48017/4 + 12007. Solve f - 5/4 + d*f**2 + 1/2*f**3 = 0.
-5, -1, 1/2
Let y(r) = r**4 - r**2 + 2*r. Let s(v) = 4*v**4 - 59*v**2 - 82*v. Let w(x) = x**3 - 25*x**2 + x - 24. Let u be w(25). Let j(n) = u*y(n) + s(n). Factor j(m).
5*m*(m - 4)*(m + 2)**2
Suppose -515*c + 680*c + 1684*c - 3201 = 2346. Factor 2/3*f**2 - 10/3 - 26/9*f + 2/9*f**c.
2*(f - 3)*(f + 1)*(f + 5)/9
Let w(x) = -x**3 + 16*x**2 - 14*x - 13. Let v be w(15). Factor 4*n**3 + 57*n**4 + n**v + 2*n - 6*n**2 - 58*n**4.
-n*(n - 2)*(n - 1)**2
Let c be 114/(-9) - (-31 - (-54 + 39)). Suppose c*i + 2/3*i**5 - 16/3*i**2 + 4/3*i**4 - 4*i**3 + 4 = 0. Calculate i.
-3, -1, 1, 2
Let v(g) be the second derivative of 15*g**3 + 20*g - 1/8*g**4 - 177/4*g**2 + 5. Factor v(r).
-3*(r - 59)*(r - 1)/2
Let b = -13898 + 21596. Find s, given that -189*s**2 - 3*s + 7701*s**3 + 86 + 103 - b*s**3 = 0.
-1, 1, 63
Suppose 26 + 10 = 2*p. Let q = -112 + 151. Find t such that q*t**3 - p*t**5 - 34*t**3 + 11*t**3 - 16*t**4 - 42*t**5 = 0.
-2/3, 0, 2/5
Let q(g) = -g**3 - 11*g**2 + 14*g + 29. Let a be q(-12). Suppose 6*s = 3*s + a*n + 31, 5 = 5*s + n. Determine r so that 0 - 1/4*r - 1/4*r**s = 0.
-1, 0
Let h(x) be the second derivative of -x**7/126 + 19*x**6/90 - 17*x**5/60 - 19*x**4/36 + x**3 - 1359*x. Suppose h(y) = 0. What is y?
-1, 0, 1, 18
Let y(d) be the second derivative of 5*d**4/24 - 125*d**3/12 + 195*d**2 - 6497*d. Let y(q) = 0. Calculate q.
12, 13
Let s(t) be the third derivative of 0 - 12*t - 512/21*t**3 - 1/420*t**6 + t**2 - 4/35*t**5 - 16/7*t**4. What is g in s(g) = 0?
-8
Factor 16*l**3 - 36*l**2 - 24 + 6321*l - 8*l**3 - 6389*l.
4*(l - 6)*(l + 1)*(2*l + 1)
Let o(g) be the third derivative of -g**6/540 - 113*g**5/135 + 227*g**4/108 - 3*g**2 - 9*g + 13. Factor o(n).
-2*n*(n - 1)*(n + 227)/9
Let k(t) be the second derivative of -3*t**5/40 - 37*t**4/8 + 304*t. Factor k(y).
-3*y**2*(y + 37)/2
Let -104/9*z**3 - 128/9*z**2 + 112/9 + 16/9*z**4 + 100/9*z + 4/9*z**5 = 0. What is z?
-7, -1, 1, 4
Let t = 313 + -310. Factor t*z**2 - 9*z + 351 - 706 + 361.
3*(z - 2)*(z - 1)
Let d be (-3932)/8*(-1)/2*4. Factor -d + 983 + 65*n**3 + 5*n**4 + 150*n**2.
5*n**2*(n + 3)*(n + 10)
Let n(t) be the first derivative of -34*t - 7/8*t**4 + 6 - 9*t**2 + 3/40*t**5 + 4*t**3. Let p(j) be the first derivative of n(j). Let p(z) = 0. What is z?
2, 3
Let m(f) be the second derivative of -f**6/105 - 17*f**5/7 + 57*f**4/14 - 443*f + 5. Suppose m(q) = 0. Calculate q.
-171, 0, 1
Let b(g) be the first derivative of -g**3 + 159*g**2/2 + 330*g - 1799. Factor b(w).
-3*(w - 55)*(w + 2)
Let j(x) be the third derivative of -5/12*x**4 - 1/35*x**7 + 2*x**3 - 11/30*x**5 + 155*x**2 + 13/60*x**6 + 0 + 0*x. Find c such that j(c) = 0.
-2/3, 1, 3
Factor 70*q - 18*q**2 - 678/13 + 2/13*q**3.
2*(q - 113)*(q - 3)*(q - 1)/13
Factor 74 + 620*i - 232 - 460 - 2*i**2.
-2*(i - 309)*(i - 1)
Let k(m) be the third derivative of -1/48*m**5 - 1/96*m**6 + 5/1344*m**8 + 15*m**2 + 1/168*m**7 + 0*m**3 + 2*m + 0*m**4 + 0. Factor k(f).
5*f**2*(f - 1)*(f + 1)**2/4
Determine j so that 244*j**2 - 150*j**3 - 546*j**2 + 151*j**3 = 0.
0, 302
Let h(w) be the first derivative of 4*w**