) = 7*k(o) + 2*z(o). Suppose g(j) = 0. Calculate j.
-1
Let g(w) = 6*w**2 - 4*w - 716. Let n(s) = -5*s**2 + 5*s + 535. Let j(h) = -3*g(h) - 4*n(h). Determine a, given that j(a) = 0.
2
Factor -11/2*d**2 - 27/2 - 21*d.
-(d + 3)*(11*d + 9)/2
Let -80*m - 168 - 2/3*m**3 - 38/3*m**2 = 0. What is m?
-7, -6
Let c(b) be the second derivative of 1/4*b**5 - 5/6*b**3 - 1/6*b**6 + 0 + 5/12*b**4 - 11*b + 0*b**2. Determine u so that c(u) = 0.
-1, 0, 1
Suppose 3 - 9 = -3*w. Suppose 4*t - 18 = -5*j, t + 6 = -t + 5*j. Solve 69*i - w - 67*i + 2 - t*i**3 = 0.
-1, 0, 1
Let v(x) be the third derivative of x**7/42 - 7*x**6/12 + 19*x**5/4 - 15*x**4 + 15*x**2 - x. Let v(b) = 0. Calculate b.
0, 3, 8
Let j(h) be the first derivative of h**5/20 + 11*h**4/16 + 17*h**3/6 + 3*h**2 - 3443. Factor j(o).
o*(o + 1)*(o + 4)*(o + 6)/4
Suppose -4/7*g**2 - 473344/7 - 2752/7*g = 0. What is g?
-344
Let g be (-9)/(-18)*7/1*6. Solve -28*f**3 + 12*f**3 + 55*f**2 + g*f**3 = 0 for f.
-11, 0
Let l be (-5 - 216/(-9))*(1 + 2). What is o in -87*o**2 - 162*o - l*o**2 - 223*o**3 - 5*o**4 - 27 + 177*o**3 = 0?
-3, -1/5
Factor 286 + 3263*w**2 + 2021*w + 9*w**3 - 36*w - 683*w**2 - 268*w.
(w + 286)*(3*w + 1)**2
Suppose -873*j + 190*j + 2356 = 307. Suppose -803/2*o**4 + 232*o - 24 - 388*o**2 - 121/2*o**5 - 816*o**j = 0. Calculate o.
-3, -2, 2/11
Let q(m) be the first derivative of -90*m**6 - 849*m**5/5 + 4293*m**4/2 - 1143*m**3 - 192*m**2 + 180*m - 2030. Find z such that q(z) = 0.
-5, -2/9, 1/4, 2/5, 3
Let i(v) be the first derivative of 2*v**3/3 + 35*v**2 + 300*v - 80. Let i(k) = 0. Calculate k.
-30, -5
Let v(k) = k**2 + 7*k - 10. Let h be v(-6). Let z be h/2*-1*(-3)/(-6). Factor 10*l**3 - 6*l**4 - 9*l**4 - 10*l**z.
-5*l**3*(5*l - 2)
Let k be (1 + -3)*(-7 - -4). Let q(j) be the first derivative of 0*j - 9/4*j**4 - 4*j**3 + 1/2*j**k + 6/5*j**5 + 6*j**2 + 14. Factor q(s).
3*s*(s - 1)**2*(s + 2)**2
Let u(f) = -1. Let n(i) = i - 1. Let c(r) = n(r) - u(r). Let h be c(2). Factor 41*s + 4 - 36 - 17*s - 4*s**h.
-4*(s - 4)*(s - 2)
Let d(m) be the first derivative of 32*m + 4/3*m**3 - 12*m**2 + 2. Factor d(b).
4*(b - 4)*(b - 2)
Let x(v) = v**3 + 2*v**2 - v + 1. Let p be x(-2). Suppose -235*g - 3*u - 6 = -236*g, 0 = -5*u. Solve g - 4*z**2 + z**2 + 0 + p*z + 0 = 0 for z.
-1, 2
Let b(w) be the first derivative of 2*w**5/65 + 20*w**4/13 + 226*w**3/39 + 74*w**2/13 - 12030. Determine s, given that b(s) = 0.
-37, -2, -1, 0
Let r be ((-65)/(-156))/(-5 + 10*45/80). Let z(k) be the first derivative of 0*k**4 + r*k**3 - 1/5*k**5 + 0*k**2 - k - 28. Factor z(n).
-(n - 1)**2*(n + 1)**2
Let t(u) = -2*u - 1. Let j be (10/15)/1*(-2 - 16). Let n(c) = 3*c**3 - 12*c**2 - 33*c + 42. Let w(r) = j*t(r) + n(r). What is y in w(y) = 0?
-2, 3
Factor 35*y**2 + 31*y - 130*y - 93*y - 4*y**3 + 41*y**2.
-4*y*(y - 16)*(y - 3)
Let c be (-39505)/55 - (-1 + -2). Let m = c + 716. Find r, given that -m*r**2 + 10/11*r - 2/11 = 0.
1/4, 1
Let x = 24596 - 24561. Let p(c) be the first derivative of 4*c + x + c**4 - 2*c**2 - 4/3*c**3. Find w, given that p(w) = 0.
-1, 1
Let p be -1*(-2 - 1) + (5 - 4). Factor -28*r - 138*r**3 - 47*r - 11*r**4 - 19*r**4 - 3*r**5 - 180*r**2 - 6*r**p.
-3*r*(r + 1)**2*(r + 5)**2
Let b(f) be the third derivative of 1/192*f**4 - 1/160*f**5 + f - 1/1680*f**7 + 0*f**3 - 19*f**2 + 0 + 1/320*f**6. Factor b(d).
-d*(d - 1)**3/8
Let s(k) be the second derivative of -77*k + 0 + 1/80*k**5 + 5/8*k**2 - 3/8*k**3 + 1/16*k**4. Factor s(f).
(f - 1)**2*(f + 5)/4
Find m, given that -2/17 + 610/17*m + 1848/17*m**2 = 0.
-1/3, 1/308
Suppose -4*i - 4*r - 13 = 11, 3*r + 4 = 4*i. Let a be -1*4*5/i. Factor 13*u + a + u - 5*u**3 + u.
-5*(u - 2)*(u + 1)**2
Let x = 29/516 + -4/645. Let b(h) be the second derivative of 1/90*h**6 + 0 - 1/6*h**3 + x*h**5 + 1/36*h**4 + 26*h - 1/3*h**2. Suppose b(f) = 0. Calculate f.
-2, -1, 1
Let r be ((-1)/3)/(1/(-18)) - -5. Let u be -8 - -8 - r/(-2) - 5. Factor 0*h - 3/2*h**3 - u*h**5 + 0 + 1/2*h**2 + 3/2*h**4.
-h**2*(h - 1)**3/2
Let t = 1/7371 + 14731/81081. Let a(m) be the second derivative of 0*m**2 - 1/11*m**6 + 0 - 12/55*m**5 + 23*m - t*m**4 + 0*m**3 - 1/77*m**7. Factor a(r).
-6*r**2*(r + 1)*(r + 2)**2/11
Factor 1/2*r**3 - 3/2*r**2 - 5*r + 12.
(r - 4)*(r - 2)*(r + 3)/2
Solve -60*k - 14/5*k**2 - 126/5 = 0.
-21, -3/7
Let d(s) be the third derivative of 3*s**7/70 + 43*s**6/8 - 74*s**5/5 - 73*s**4/2 + 6*s**2 + 100. Factor d(w).
3*w*(w - 2)*(w + 73)*(3*w + 2)
Let h = -18330 - -18332. Let d(r) be the first derivative of 29 - 3/4*r**4 - 5*r**3 - 9/2*r**h + 3/5*r**5 + 0*r. What is l in d(l) = 0?
-1, 0, 3
Let v(z) be the third derivative of 0*z - 7/3*z**3 + 1/3060*z**6 + 1/170*z**5 + 5/204*z**4 + 0 - 7*z**2. Let i(j) be the first derivative of v(j). Factor i(x).
2*(x + 1)*(x + 5)/17
Let b(t) be the first derivative of 87 + 50*t + 40/3*t**3 - 5/4*t**4 - 85/2*t**2. Suppose b(j) = 0. What is j?
1, 2, 5
Let p be (-27550)/(-3325) - (-24)/63*-3. Solve -32/7*b - 2/7*b**5 - 38/7*b**3 - 2*b**4 - p*b**2 - 8/7 = 0 for b.
-2, -1
Let x = 196853/5 + -39369. Let q(p) be the first derivative of -4 - 1/3*p**6 + 5*p**2 + x*p**5 - 4*p - 2*p**4 - 4/3*p**3. Determine n so that q(n) = 0.
-1, 1, 2
Let r = -95 + 107. Let 10*l**4 - 2*l**3 + 17*l**2 + l**2 + 2*l**5 + r*l**4 + 40*l**3 = 0. What is l?
-9, -1, 0
Let l be (0 + 16)/((-2)/(-9)). Determine o so that -74*o**5 - 6*o**4 + 2*o + l*o**5 - 26*o**2 - 22*o + 6*o**3 + 16*o**4 = 0.
-1, 0, 2, 5
Let x = -92 + 107. Factor -5*k**4 - 10 - 6 + 110*k + 50*k**3 - 4 - 120*k**2 - x.
-5*(k - 7)*(k - 1)**3
Let o(d) be the third derivative of -d**6/144 - 5*d**5/36 + 115*d**4/144 - 5*d**3/3 - 16*d**2 + 6*d. Factor o(u).
-5*(u - 1)**2*(u + 12)/6
Let k(m) be the first derivative of -64/5*m - 32/15*m**3 - 1/5*m**4 - 8*m**2 - 18. Let k(b) = 0. Calculate b.
-4, -2
Let t(m) = m + 12. Let r be t(6). Suppose -5*g + r = 3. Factor 0*v**5 + 8*v**4 - v**5 + 0*v**g - 3*v**5 - 4*v**3.
-4*v**3*(v - 1)**2
Let a(m) be the second derivative of -m**5/120 + 71*m**4/12 - 1272*m**3 + 22472*m**2/3 + 1403*m. Find g, given that a(g) = 0.
2, 212
Let f = 41 + -36. Solve f*o**3 + 3*o**2 - 3*o**2 - 5*o + 0*o = 0.
-1, 0, 1
Let h(w) be the second derivative of -3*w**5/20 + 21*w**4/4 - 147*w**3/2 + 1029*w**2/2 + 4105*w. Factor h(u).
-3*(u - 7)**3
Suppose 0 = -143*o + 142*o + 2*y + 25, -7*o - 2*y - 1 = 0. Factor 36*p**o + 69/2*p - 9 + 3/2*p**5 - 51*p**2 - 12*p**4.
3*(p - 3)*(p - 2)*(p - 1)**3/2
Let l(n) = 120*n**2 - 589*n - 52. Let q be l(5). Factor 4/5 - 33/5*u - 16/5*u**q + 72/5*u**2.
-(u - 4)*(4*u - 1)**2/5
Let c = 166/207 - -800/207. Suppose -l - 20 = -5*l. Suppose -32/3*j**3 - c*j**4 - 16/3*j**2 - 2/3*j**l + 32/3 + 32/3*j = 0. What is j?
-2, 1
Let x(s) = -5*s**3 - 88*s**2 - 77*s. Let k(v) = 9*v**3 + 174*v**2 + 154*v. Let y(f) = 6*k(f) + 11*x(f). Find j, given that y(j) = 0.
-1, 0, 77
Let s(y) = 1. Let t(u) = 11 - 2*u**2 + 5 - 6 - 5*u + 7*u**2. Let g = -54 - -74. Let m(l) = g*s(l) - t(l). Factor m(j).
-5*(j - 2)*(j + 1)
Let w(x) be the first derivative of x**3/7 - 97*x**2/7 - 65*x/7 - 718. Factor w(t).
(t - 65)*(3*t + 1)/7
Let b be (27/36)/((-1)/(-20)). Let q be ((-114)/(-133))/(b/28). Suppose 2/5*v**4 + q*v**5 + 4/5*v - 24/5*v**3 + 0 + 2*v**2 = 0. Calculate v.
-2, -1/4, 0, 1
Let v be (38 + 23 - 54) + 7/((-84)/76). Factor -38/3*c**2 + 0 + v*c**3 - 40/3*c.
2*c*(c - 20)*(c + 1)/3
Let l(d) be the second derivative of -d**4/3 - 38*d**3/3 - 176*d**2 + 1117*d. Factor l(f).
-4*(f + 8)*(f + 11)
Factor 219/4*f - 3/2*f**3 + 15/8*f**2 + 315/8.
-3*(f - 7)*(f + 5)*(4*f + 3)/8
Let p(k) be the third derivative of k**6/600 - 13*k**5/300 + 9*k**4/20 - 12*k**3/5 + 2*k**2 + 31*k. Suppose p(l) = 0. Calculate l.
3, 4, 6
Let k = -220 + 224. Solve 89*i**3 - 89*i**3 - 2*i**k + i**4 = 0.
0
Determine k so that 52*k**2 + 132*k**3 + 4*k**5 - 96 + 9*k**4 + 24*k**4 + 6*k**4 - 29*k**4 + 34*k**4 - 136*k = 0.
-6, -4, -1, 1
Let -16 + 12*s + 10*s**2 - 5*s**3 + 1/2*s**5 - 3/2*s**4 = 0. Calculate s.
-2, 1, 2, 4
Let z = 5152651/37 + -139249. Let d = -3042/407 + z. Determine o so that -8/11 - d*o - 70/11*o**2 = 0.
-2/5, -2/7
Solve -4/5*l**2 - 424/5 + 428/5*l = 0 for l.
1, 106
Let 114/5*j**2 + 592/5*j**3 + 4/5*j**5 + 0 - 236/5*j + 246/5*j**4 = 0. What is j?
-59, -2, -1, 0, 1/2
Let g = 416763 - 416763. Factor 3/4*b**4 - 3/2*b**3 + 3/4*b**5 + 0 + g*b + 0*b**2.
3*b**3*(b - 1)*(b +