*l + 40. Let q be y(2). Solve 1/7*s**3 + 0*s**q - 4/7*s + 0 = 0 for s.
-2, 0, 2
Let o(v) be the second derivative of -v**7/63 - 77*v**6/135 - 257*v**5/90 - 113*v**4/18 - 200*v**3/27 - 44*v**2/9 - 251*v. Determine q, given that o(q) = 0.
-22, -1, -2/3
Let w(g) = 17*g**4 + 91*g**3 - 96*g**2 - 30*g + 6. Let x(l) = -15*l**4 - 90*l**3 + 95*l**2 + 25*l - 5. Let a(q) = -5*w(q) - 6*x(q). Find k, given that a(k) = 0.
-18, 0, 1
Let p(f) be the third derivative of f**6/120 + 9*f**5/20 + 5*f**4/6 - 26*f**3 - 79*f**2 + 6. Find o, given that p(o) = 0.
-26, -3, 2
Let w(a) = 3971*a + 19857. Let y be w(-5). Factor -9/5*i - 1/10*i**y + 19/10.
-(i - 1)*(i + 19)/10
Let z = 83437/2313 - -381/257. Factor -2/9*u**2 - z - 52/9*u.
-2*(u + 13)**2/9
Let z = 94/6191 + 11912/30955. Let 14/5*i - 5*i**2 - z*i**3 + 13/5 = 0. Calculate i.
-13, -1/2, 1
Let x(r) be the second derivative of 4*r**7/21 - 65*r**6/3 + 81*r**5/10 - 222*r - 1. Factor x(g).
2*g**3*(g - 81)*(4*g - 1)
Let g(z) = -z + 10. Let s = 46 + -38. Let b be g(s). Factor 8*o**2 - 20*o**b + 8*o**3 + 7*o**3 + 3*o - 6*o**4.
-3*o*(o - 1)**2*(2*o - 1)
Let p be (0 - 15/2)*-10*(-113)/(-2825). Solve 0*r**p + 9/8 + 9/4*r**2 - 3*r - 3/8*r**4 = 0.
-3, 1
Find i such that 2/3*i**2 + 1472/3*i - 15872/3 - 2/3*i**3 = 0.
-31, 16
Let m(q) be the first derivative of 3/4*q**4 + 79/7*q**3 - 5 + 33/7*q**2 + 0*q. Factor m(g).
3*g*(g + 11)*(7*g + 2)/7
Factor 1/3*b**4 + 0*b**3 - 136/3*b**2 - 336 - 256*b.
(b - 14)*(b + 2)*(b + 6)**2/3
Suppose -74498/17 - 2/17*u**2 - 772/17*u = 0. Calculate u.
-193
What is x in 208/3*x**3 + 1/3*x**5 + 0*x + 0 + 0*x**2 + 56/3*x**4 = 0?
-52, -4, 0
Let f(y) be the second derivative of y**6/90 - 7*y**5/180 - 5*y**4/72 + y**3/3 - 44*y**2 - 79*y. Let r(g) be the first derivative of f(g). Solve r(m) = 0.
-1, 3/4, 2
Let z(t) be the third derivative of t**5/12 + 5*t**4/6 - 31*t**3/6 + 2*t**2. Suppose 18*m = -17*m - 35. Let q(k) = 1. Let s(d) = m*z(d) - 6*q(d). Factor s(g).
-5*(g - 1)*(g + 5)
Let l(j) be the third derivative of 0*j - 2 + 4*j**2 - 19/120*j**4 - 1/3*j**3 - 2/75*j**5 + 1/600*j**6. Factor l(t).
(t - 10)*(t + 1)**2/5
Let p be (-102)/(-119) - (-912)/504. Solve 14/9*d**2 - 2/9*d**4 + 40/9*d + p - 4/9*d**3 = 0.
-2, -1, 3
Let b(s) = 11*s**2 - s + 72. Let g(k) = -k**2 - 4*k + 20. Let p(a) = a**2 + a + 1. Let j(y) = g(y) + 4*p(y). Let t(q) = 2*b(q) - 7*j(q). Solve t(v) = 0 for v.
-4, 6
Let b be (-66)/(-396) - (-5 - -11)/(-12). Factor 4*r - b*r**2 - 16/3.
-2*(r - 4)*(r - 2)/3
Let 60 - 12*x**2 + 6*x**2 - 284*x - 362 - 854*x + 230*x = 0. What is x?
-151, -1/3
Let x = -43/3 + 823/57. Let k(l) be the second derivative of 5/57*l**3 + 1/190*l**5 + 12*l + x*l**2 + 0 + 2/57*l**4. What is h in k(h) = 0?
-2, -1
Let h = 2385 - -522. Suppose -h = 14*m - 2963. Find g, given that 0 + 1/2*g**5 + 0*g**2 + 3/2*g**m + g**3 + 0*g = 0.
-2, -1, 0
Let c(q) = -13*q**3 - 289*q**2 - 788*q - 464. Let b(k) = -14*k**3 - 290*k**2 - 807*k - 464. Let t(a) = 4*b(a) - 5*c(a). Determine y so that t(y) = 0.
-29, -4/3
Let x(c) be the first derivative of c**3/3 - 217*c**2 + 47089*c + 80. Solve x(q) = 0 for q.
217
Let j(z) be the first derivative of z**5/270 - 5*z**4/54 + z**2/2 - 9*z - 90. Let a(u) be the second derivative of j(u). Factor a(l).
2*l*(l - 10)/9
Let l(g) be the third derivative of 11*g**5/60 + 4*g**4 + 96*g**3 + 17*g**2 + g. Let i(b) = -5*b**2 - 48*b - 288. Let u(f) = 14*i(f) + 6*l(f). Factor u(v).
-4*(v + 12)**2
Suppose 3*o + o + 16 = 0. Let b be 5 - -2 - o/(-2). Factor 4*i**b - 4*i**4 - 26*i**2 - 2*i**3 - 2*i**3 + 30*i**2.
4*i**2*(i - 1)**2*(i + 1)
Factor -5/4*w**2 + 5 + 15/4*w.
-5*(w - 4)*(w + 1)/4
Determine x, given that -5*x**4 - 225 + 1/2*x**5 - 69*x**3 - 74*x**2 + 745/2*x = 0.
-5, 1, 18
Let a(g) be the third derivative of 0*g**3 - 1/168*g**8 - 3 + 0*g**5 + 0*g - 1/60*g**6 + 2/105*g**7 + 11*g**2 + 0*g**4. Solve a(b) = 0.
0, 1
Let w(p) be the third derivative of -p**5/12 + 935*p**4 - 4196280*p**3 - 5852*p**2. Solve w(y) = 0.
2244
Let t(i) be the second derivative of -1/3*i**4 - 49*i + 10*i**3 + 0 - 28*i**2. Factor t(b).
-4*(b - 14)*(b - 1)
Let f be (-7)/(-56)*4*6/1. Suppose 11 + f = 7*q. Factor -8 - 10*r - 20*r**2 + 50*r**2 - 13*r**q - 14*r**2.
(r - 4)*(3*r + 2)
Suppose -94*i + 97*i - 9 = 0. Let j(a) = -a**3 + 3*a**2 + 3*a - 4. Let r be j(i). Factor 0*g**5 - g**4 - 2*g**r + g**5 - 8*g**3 + 10*g**3.
-g**3*(g - 1)*(g + 2)
Let y be (854 + -850)/(((-30)/(-18))/(1/(-6) - -1)). Factor 2/7*t**4 - 74/7*t**3 + 10648/7 - 5566/7*t + 990/7*t**y.
2*(t - 11)**3*(t - 4)/7
Let j = -2 - -6. Let t = -501/22 - -1035/44. What is n in 0 + t*n**j - 3/4*n - 9/4*n**3 + 9/4*n**2 = 0?
0, 1
Let i be 1*((-616)/168 + 4). Solve i*g**3 + 0*g + g**2 - 4/3 = 0 for g.
-2, 1
Find h, given that 162*h**3 - 225*h**2 - 159*h**4 + 225*h**2 - 3*h**5 = 0.
-54, 0, 1
Let s(p) be the first derivative of 2/7*p**2 - 1/21*p**6 - 2/7*p**5 - 49 + 26/21*p**3 - 1/14*p**4 - 16/7*p. Let s(f) = 0. Calculate f.
-4, -2, -1, 1
Find m such that -4*m**5 - 43*m + 28*m**3 + 24*m**2 + 121*m - 78*m = 0.
-2, -1, 0, 3
Let z(p) be the second derivative of -p**6/45 - 439*p**5/10 - 877*p**4/6 - 1315*p**3/9 - 6846*p. Factor z(j).
-2*j*(j + 1)**2*(j + 1315)/3
Let d(t) be the second derivative of -t**7/1260 - t**6/135 + 43*t**3/6 - 54*t. Let y(r) be the second derivative of d(r). Solve y(s) = 0 for s.
-4, 0
Factor 1/2*i**4 + 0 + 46*i + 49/2*i**3 + 70*i**2.
i*(i + 1)*(i + 2)*(i + 46)/2
Factor 755*n + 5*n**4 - 798165*n**3 + 797910*n**3 + 5*n**2 + 510 - 20*n**2.
5*(n - 51)*(n - 2)*(n + 1)**2
Let v(m) be the third derivative of 0*m + 9/10*m**5 + 1/224*m**8 + 7*m**2 - 3/16*m**6 + 0*m**4 - 1/70*m**7 - 2 + 0*m**3. Factor v(f).
3*f**2*(f - 3)**2*(f + 4)/2
Let t(c) = -c**2 + 6*c + 3. Let l be t(6). Suppose -z + l*z = -5*r, 0 = -z - 5. Factor -12*j**2 - 3*j + 4*j**2 + 11*j**r.
3*j*(j - 1)
Let j(g) = 8*g**2 - 21715*g + 14688200. Let i(n) = 76*n**2 - 206296*n + 139537900. Let k(s) = 5*i(s) - 48*j(s). Factor k(f).
-4*(f - 1355)**2
Let q(d) be the second derivative of 1/2*d**3 + d - 3*d**2 + 1/2*d**4 - 3/20*d**5 - 24. Determine u so that q(u) = 0.
-1, 1, 2
Let n = -15 - -22. Suppose n*y - 3*y = 28. Suppose 305*z**3 - 300*z**3 + 22*z + 27*z**2 - 7*z**2 - y*z = 0. What is z?
-3, -1, 0
Let u = -146251 - -146253. What is w in 10/21*w**u + 2/21*w**3 - 8/7 - 16/21*w = 0?
-6, -1, 2
Factor -1/5*k + 0 - 3/5*k**2.
-k*(3*k + 1)/5
Let x(t) be the first derivative of -t**3/3 - 297*t**2 - 88209*t + 1896. Find b, given that x(b) = 0.
-297
Let i(z) be the third derivative of 7*z**5/180 + 347*z**4/18 + 22*z**3 - 1383*z**2. Factor i(f).
(f + 198)*(7*f + 2)/3
Let r be (-1 - (-30)/22)*(-748)/(-136). Find i such that -8*i**3 + 0*i + 0 + 11/3*i**4 - 1/3*i**5 - 12*i**r = 0.
-1, 0, 6
Let i(q) = -5*q - 45. Let z be i(-9). Let w be 40/(-15)*(-3)/2. Solve z + w*s**2 - 4 + 0*s - 6*s**2 - 6*s = 0 for s.
-2, -1
Let v = 4819/20 + -32773/140. Let -8 - 66/7*f**4 - v*f + 218/7*f**2 + 10/7*f**5 - 58/7*f**3 = 0. Calculate f.
-2, -2/5, 1, 7
Let m(y) be the first derivative of -3*y**4/8 + 219*y**2/4 + 108*y - 2743. Factor m(t).
-3*(t - 9)*(t + 1)*(t + 8)/2
Let p(s) be the second derivative of s**8/11760 - s**6/420 + s**5/105 - 7*s**4/12 + 3*s**2/2 + 56*s. Let f(g) be the third derivative of p(g). Factor f(h).
4*(h - 1)**2*(h + 2)/7
Let y(f) = -f**4 - 143*f**3 + 318*f**2 + 1620*f + 1190. Let d(t) = -t**4 - 68*t**3 + 159*t**2 + 810*t + 596. Let k(v) = -5*d(v) + 2*y(v). What is g in k(g) = 0?
-20, -2, -1, 5
Solve 2850*r + 230155 + 18570 + 102709 + 54691 + 5*r**2 = 0.
-285
Suppose -20*u + 16*u = 3*t - 28, t + 5*u - 24 = 0. Let z be 36/32*1*t. Factor -z*s + 3/2*s**2 + 0.
3*s*(s - 3)/2
Let o(j) be the third derivative of -1/720*j**6 - 13/6*j**3 - 49/48*j**4 + 7/120*j**5 + 0 + 9*j**2 + 0*j. Let b(a) be the first derivative of o(a). Factor b(c).
-(c - 7)**2/2
Let s(r) be the first derivative of 62*r**3/51 + 463*r**2/17 - 60*r/17 + 2044. Suppose s(p) = 0. Calculate p.
-15, 2/31
Factor 1/6*a**3 + 0 + 268/3*a**2 + 35912/3*a.
a*(a + 268)**2/6
Let p(i) = -i**3 + 101*i**2 + 202*i + 106. Let z(q) = -102*q**2 - 202*q - 104. Let v(t) = -4*p(t) - 6*z(t). What is w in v(w) = 0?
-50, -1
Let -138*b - 299*b**3 - 282*b**3 + 786*b**3 - 341*b**3 - 275*b**2 + b**4 = 0. Calculate b.
-1, 0, 138
Let p(o) be the third derivative of o**6/1380 + 2*o**5/23 + 19*o**4/23 + 224*o**3