alculate v.
-1, -2/7, 0, 3
Suppose 2761 = 2*c - 11*i + 16*i, -5*i = -5*c + 6815. Let h = -1366 + c. Factor 8/5 + 26/5*d**h + 32/5*d + 6/5*d**3.
2*(d + 2)**2*(3*d + 1)/5
Find w, given that 420*w**2 - 696*w - 3851*w**3 + 200 - 3881*w**3 + 11051*w**3 + 2*w**5 + 466*w**2 + 90*w**4 - 3801*w**3 = 0.
-50, 1, 2
Let j be (-1)/(((-4)/52)/(-1)) + 562 + -549. Factor 1/5*w**4 + j + w**2 + 0*w - 6/5*w**3.
w**2*(w - 5)*(w - 1)/5
Suppose 45*m + 4 = 43*m, 3*m = 4*h - 30. Let i(n) be the first derivative of 0*n**3 + 24 + 1/24*n**h - 1/8*n**4 + 0*n**5 + 1/8*n**2 + 0*n. Factor i(b).
b*(b - 1)**2*(b + 1)**2/4
Let t(f) be the second derivative of f**5/5 - 175*f**4/3 + 682*f**3 - 3042*f**2 - 939*f. Factor t(v).
4*(v - 169)*(v - 3)**2
Let c(j) = -j**3 + 23*j**2 - j + 25. Let b(t) = -t**3 + 13*t**2 - 11*t + 11. Let y be b(12). Let l be c(y). Factor -4/7*r**4 - 16/7*r + 0 + 0*r**l + 12/7*r**3.
-4*r*(r - 2)**2*(r + 1)/7
Let a(u) be the first derivative of 2*u**2 - 31/4*u**4 + 7*u**3 - 4*u + 2*u**5 + 160. Determine w so that a(w) = 0.
-2/5, 1/2, 1, 2
Let o(i) be the third derivative of -i**6/280 - 639*i**5/140 - 2*i**2 - 623*i - 2. Factor o(n).
-3*n**2*(n + 639)/7
Let u = -1017109/3 - -339043. Let i = -3/10 - -19/30. Suppose -u*d - 100/3 - i*d**2 = 0. Calculate d.
-10
Let o(s) = 40*s + 16. Let c be o(2). Solve -c*t - 106*t + 288*t - 16 + 4*t**2 + 4*t**3 - 102*t = 0 for t.
-2, -1, 2
Suppose 43*g**2 + 179 + 109 + 2*g**3 + 0*g**2 - 5*g**2 - 228*g = 0. What is g?
-24, 2, 3
Suppose 227 = -9*d + 290. Find j, given that -j + 5*j**3 + j - 12*j + d*j = 0.
-1, 0, 1
Let l(t) = -10*t**3 - 12*t**2 - 75*t - 28. Let b(n) = n**3 - 2*n**2 + 2*n. Let s(i) = -18*b(i) - 2*l(i). Solve s(o) = 0.
-28, -1
Let z(a) be the second derivative of -10/3*a**3 - 3*a + 4 - 21/2*a**2 + 1/12*a**4. Factor z(k).
(k - 21)*(k + 1)
Let u = 17033/8 - 16789/8. Let -18*q**3 + 0 + 19/2*q**4 - 3*q - u*q**2 = 0. Calculate q.
-1, -2/19, 0, 3
Let x(q) = 355*q**3 + 2302*q**2 + 284*q - 12704. Let u(i) = 237*i**3 + 1535*i**2 + 189*i - 8469. Let c(s) = 8*u(s) - 5*x(s). Let c(a) = 0. What is a?
-46/11, 2
Let d(t) be the first derivative of -36*t + 4/3*t**3 + 97 - 16*t**2. Suppose d(q) = 0. Calculate q.
-1, 9
Let s(u) be the third derivative of u**6/120 + 67*u**5/30 + 385*u**4/2 + 1452*u**3 - 3667*u**2. Solve s(n) = 0.
-66, -2
Let h(t) be the first derivative of t**6/2 - 201*t**4/4 + 290*t**3 - 576*t**2 + 480*t + 494. Suppose h(z) = 0. What is z?
-10, 1, 4
Let l(g) be the first derivative of g**5/120 + 25*g**4/24 + 625*g**3/12 - 179*g**2/2 + 38. Let r(c) be the second derivative of l(c). Factor r(k).
(k + 25)**2/2
Let s be -7 - 15*6/(-9). Suppose -l + 6 + 0 = y, -s*y - 14 = -5*l. Factor 2/19*r + 2/19*r**l - 2/19*r**2 + 0 - 2/19*r**3.
2*r*(r - 1)**2*(r + 1)/19
Let p(z) = -3*z + 104. Let l be p(34). Let q be -1*(l + -8 - (0 - 2)). Factor -c**3 + 0*c + 0 - c**q - 1/3*c**5 - 1/3*c**2.
-c**2*(c + 1)**3/3
What is m in 116*m + 223*m + 260 - 5*m**2 - 84*m = 0?
-1, 52
Let a(c) be the first derivative of 5 + 4/3*c**3 + 1/2*c**4 + c**2 + 0*c. Factor a(h).
2*h*(h + 1)**2
Solve 4 - 732*s**3 - 51*s - 4*s - 20 - 17*s**2 - 23 + 731*s**3 = 0 for s.
-13, -3, -1
Let b(l) = -3*l + 50. Let a be b(14). Let q = 30 + -8. Factor 1 + a*x**2 + 5 + 6 + q*x.
2*(x + 2)*(4*x + 3)
Let b(c) be the second derivative of -c**6/120 - 3*c**5/10 + 15*c**4/8 + 31*c**3/3 + 135*c**2/8 + 2*c - 259. Factor b(q).
-(q - 5)*(q + 1)**2*(q + 27)/4
Let m(p) be the second derivative of p**7/147 + 101*p**6/105 + 297*p**5/70 + 295*p**4/42 + 14*p**3/3 - 1819*p. Let m(l) = 0. What is l?
-98, -1, 0
Let t(r) = -76*r**2 - 5*r + 3*r + 3*r**3 - 80*r**2 + 60*r**2 + 66. Let l be t(32). Factor -10/7*a**l + 2/7 + 6/7*a**3 + 2/7*a.
2*(a - 1)**2*(3*a + 1)/7
Let j(o) = 11*o + 81. Let r be j(-7). Let t be r/(-32) + (-16)/(-128). Suppose 0 + t*c + 3/2*c**4 - 2*c**3 + 0*c**2 + 1/2*c**5 = 0. What is c?
-4, 0, 1
Let o(t) be the second derivative of t**5/70 + 29*t**4/21 + 860*t**3/21 + 3800*t**2/7 - 47*t + 24. Find s such that o(s) = 0.
-38, -10
Suppose -4*g + 804 = 2*g. Suppose -15*y + 91 + g = 0. What is o in y - 15*o + 11*o - 16*o - 75*o**2 = 0?
-3/5, 1/3
Let i(v) be the first derivative of -10/3*v**2 - 7/9*v**3 - 1/18*v**4 + 3*v + 27. Let t(j) be the first derivative of i(j). Factor t(z).
-2*(z + 2)*(z + 5)/3
Let g(c) = 4*c**3 + 1324*c**2 + 280*c + 8. Let k(p) = -4*p**3 - 1324*p**2 - 245*p - 7. Let i(v) = 7*g(v) + 8*k(v). Solve i(u) = 0 for u.
-331, 0
Let h = 517/17 - 1017/34. Factor -7/4*r - 9/4*r**2 - 1/4*r**4 - 5/4*r**3 - h.
-(r + 1)**3*(r + 2)/4
Let u be (602/43 + -14)/(-2*2/4). Factor u + 2/3*f - 2/9*f**2.
-2*f*(f - 3)/9
Let b(a) be the third derivative of -2*a**7/735 + 389*a**6/840 - 1601*a**5/420 + 233*a**4/21 - 62*a**3/7 + 4*a**2 + 46*a. Suppose b(c) = 0. What is c?
1/4, 2, 93
Let d(r) = r**2 + 71*r - 52. Let l(b) = -b**2 - 73*b + 50. Let w(k) = 6*d(k) + 5*l(k). Suppose w(v) = 0. Calculate v.
-62, 1
Let g(a) = 7*a**3 + 23 - 68*a**2 + 6 - 65*a - 14*a**3 + 5*a**3 + 6. Let u be g(-33). Factor 21*l - 3/2*l**u - 147/2.
-3*(l - 7)**2/2
Let f(b) = 3*b**3 + 346*b**2 + 131*b + 1843. Let q be f(-115). Determine k, given that 17/5*k**2 + 16*k + 64/5 + 1/5*k**q = 0.
-8, -1
Let p(u) be the first derivative of -2*u**4 + 46/3*u**3 + 6*u**2 + 45 + 0*u. Suppose p(b) = 0. What is b?
-1/4, 0, 6
Solve -14207*r + 7964*r - r**2 - 2010724 + 9079*r = 0.
1418
Let j(o) = -176*o - 5278. Let m be j(-30). Factor 6*f - 3/8*f**m - 45/8.
-3*(f - 15)*(f - 1)/8
Let v = 132232/5 + -396671/15. Factor 20/3 + 52/3*a + v*a**2.
(a + 10)*(5*a + 2)/3
Suppose 5*i = -r + 6, -i + 5*i + 6 = r. Let h be 19/((-399)/(-28))*r/28. Determine m so that h*m**2 - 6/7*m + 4/7 = 0.
1, 2
Let z(y) be the first derivative of 5*y**4/18 - 5*y**3/6 - 15*y**2/2 + 86*y + 4. Let p(r) be the first derivative of z(r). Determine x, given that p(x) = 0.
-3/2, 3
Suppose 4*f = -22*z + 18*z - 36, 4*z = f + 9. Suppose m + 4*x = 0, 0 = -0*m + m - 2*x. Factor 1/2*b**2 + z*b - 1/2*b**5 - 3/2*b**3 + m + 3/2*b**4.
-b**2*(b - 1)**3/2
Let l(s) be the third derivative of 5043*s**5/4 - 205*s**4 + 40*s**3/3 + 692*s**2. Factor l(d).
5*(123*d - 4)**2
Suppose 0 = -34*b + 32*b. Let w(t) be the third derivative of -5/66*t**4 + 0 - 13*t**2 + 1/330*t**5 + 25/33*t**3 + b*t. Suppose w(c) = 0. Calculate c.
5
Suppose 23*f + 11*f + 10*f = -11*f. Let y(i) be the second derivative of -6*i - 9/16*i**5 - 13/40*i**6 + 0 - 1/8*i**4 + 0*i**3 + f*i**2. Solve y(t) = 0.
-1, -2/13, 0
Let f(y) = y**2 - 10 - 2 + 4*y + 8. Let g be f(-7). Factor 21*m**3 + 3*m**5 + 40*m**4 + 33*m**3 + 9 + 39*m + 66*m**2 - g*m**4 - 2*m**4.
3*(m + 1)**4*(m + 3)
Let i(p) be the second derivative of -8 + 1/14*p**7 + 1/2*p**3 + p**4 + 9/10*p**5 + 0*p**2 - p + 2/5*p**6. What is r in i(r) = 0?
-1, 0
Let a = 319/545 - 42/109. Suppose -3/5*p + 18/5 - a*p**2 = 0. What is p?
-6, 3
Let h(y) be the first derivative of y**5/5 + y**4/2 - 8*y**3/3 - 6505. Solve h(a) = 0.
-4, 0, 2
Let t(r) be the third derivative of -r**7/735 - r**6/10 + 22*r**5/35 - 67*r**4/42 + 15*r**3/7 + 3*r**2 - 135. Determine m, given that t(m) = 0.
-45, 1
Let j(z) = 11*z**2 - 51*z - 37. Let i be j(17). Let a be (-3)/(-7) + 1825/i. Solve 4/13*p**2 + a - 2/13*p**4 - 24/13*p + 6/13*p**3 = 0.
-2, 1, 2
Let s(l) = -4*l**3 - 36*l**2 + 125*l - 162. Let x(t) = t**3 + 9*t**2 - 31*t + 42. Let d(n) = -6*s(n) - 22*x(n). Factor d(k).
2*(k - 2)*(k - 1)*(k + 12)
Let b(q) be the third derivative of q**5/15 - 217*q**4/6 + 860*q**3/3 + 7*q**2 + 32. Factor b(i).
4*(i - 215)*(i - 2)
Suppose 10 = t - 45. Suppose -99 = -11*f - t. Suppose -4/7*x + 10/7*x**2 - 10/7*x**f + 4/7*x**5 + 0 + 0*x**3 = 0. What is x?
-1, 0, 1/2, 1, 2
Determine j so that 1/5*j**3 - 891/5*j + 1332/5 - 442/5*j**2 = 0.
-3, 1, 444
Let i be (-14*(-2)/60)/(11494/9852). What is n in -i*n**2 + 2/5*n + 4/5 = 0?
-1, 2
What is o in -37155*o**3 - 39324*o**3 + 72210*o**3 - 48132*o + 12*o**5 + 108*o**4 - 51384*o**2 - 11760 = 0?
-14, -1/2, 20
Let g(z) be the third derivative of -z**6/360 + 31*z**4/18 + 40*z**3/3 - 21*z**2 - 28. Factor g(o).
-(o - 12)*(o + 2)*(o + 10)/3
Let q(p) be the second derivative of p**7/14 + 2*p**6/5 - 39*p**5/10 + 11*p**4 - 31*p**3/2 + 12*p**2 + 3640*p. Factor q(k).
3*(k - 1)**4*(k + 8)
Suppose -188*h + 2710 = 1162 - 1460. Solve -160 - 2/5*o**2 + h*o = 0 for o.
20
Let d(v) = -22*v**2 - 9*