) = 0. Calculate j.
-24
Find a such that 4*a**5 - 11*a**4 + 5*a - 11*a + 6*a + 59*a**4 = 0.
-12, 0
Let w(p) = p**2 + p + 7. Let n(d) = -2*d - 7. Let q(o) = 2*n(o) + 3*w(o). Let x(b) = 2*b**2 + 4. Let f(z) = -4*q(z) + 7*x(z). Find v, given that f(v) = 0.
-2, 0
Let n(s) = s**3 + 27*s**2 + 85*s + 48. Let r(q) = 2*q + 48. Let c be r(-22). Let g(h) = 8*h**2 + 28*h + 16. Let j(i) = c*n(i) - 11*g(i). Factor j(l).
4*(l + 1)*(l + 2)**2
Let o(a) be the third derivative of -11*a**6/30 + 29*a**5/20 - 7*a**4/4 - a**3/6 + 2*a**2 + 913. Find l, given that o(l) = 0.
-1/44, 1
Let u(v) be the third derivative of 7*v**6/720 + v**5/20 - v**4/12 + 11*v**3/6 + 64*v**2. Let k(g) be the first derivative of u(g). Find z such that k(z) = 0.
-2, 2/7
Let k be ((-18711)/90)/(-9) + (-2)/20. Factor -6*v**2 + 13*v**4 - k*v**4 - 38*v**4 + 164*v**3 - 114*v**2 + 5*v**5 - v**5.
4*v**2*(v - 6)*(v - 5)*(v - 1)
Let w = 3259 - 3254. Let p(v) be the first derivative of 0*v - 1/48*v**6 - 1/24*v**3 + 1/40*v**w - 5 + 0*v**2 + 1/32*v**4. Factor p(n).
-n**2*(n - 1)**2*(n + 1)/8
Let z(b) be the first derivative of -b**4/4 - 20*b**3/3 + 104*b**2 - 448*b - 1128. Factor z(a).
-(a - 4)**2*(a + 28)
Let r(q) be the second derivative of -2*q**7/3 - 556*q**6/15 - 2426*q**5/5 + 6596*q**4/3 - 3178*q**3 + 1764*q**2 + 2*q + 1252. Find b such that r(b) = 0.
-21, 2/7, 1
Factor 68/5*n**3 - 14/5 - 22/5*n**4 + 2/5*n**5 + 58/5*n - 92/5*n**2.
2*(n - 7)*(n - 1)**4/5
Let z(l) be the third derivative of -4*l**2 - 1/70*l**7 + 1/20*l**5 + 3/40*l**6 + 0*l - 3/8*l**4 + 0*l**3 - 3. Factor z(c).
-3*c*(c - 3)*(c - 1)*(c + 1)
Let k(l) be the first derivative of -l**4/18 + 110*l**3/27 - 107*l**2/9 + 106*l/9 - 4230. What is o in k(o) = 0?
1, 53
Let k(m) = -m**3 - 7*m**2 - 3*m - 22. Let t be k(-7). Let x = t + 17. What is g in -12 + x*g - 14*g**2 + 27*g**2 + 39*g**2 + 24*g**3 = 0?
-3/2, -1, 1/3
Let x be (-3 + 2)*(0 + -76). Factor -48 - 28 - 42 + 92 + x*w + 6*w**2.
2*(w + 13)*(3*w - 1)
Let s(v) be the third derivative of -v**7/91 + 43*v**6/780 - v**5/10 + 3*v**4/52 + 2*v**3/39 - v**2 + 3. Solve s(p) = 0.
-2/15, 1
Let w = 4676 - 2157. Let y = w - 2517. Find h, given that -16/9 - 32/9*h - 20/9*h**y - 4/9*h**3 = 0.
-2, -1
Let k(x) be the third derivative of x**6/24 - 2*x**5/3 - 175*x**4/24 + 245*x**3 - 759*x**2 - 3. Factor k(i).
5*(i - 7)**2*(i + 6)
Suppose -3*i = -a - 77, -2*a + 88 = -240*i + 245*i. Solve 1/2*c**3 + 24*c - i - 15/2*c**2 = 0.
2, 11
Suppose 32546*r**2 - 31820*r**2 - 24*r + 26*r = 0. Calculate r.
-1/363, 0
Let h(r) = -30*r**2 - 5*r - 11. Let d = -126 + 120. Let j(y) = -8*y**2 - y - 3. Let z(m) = d*h(m) + 22*j(m). Determine w, given that z(w) = 0.
-2, 0
Factor -1/7*s**2 + 10*s**3 + 1/7*s**4 + 0 - 10*s.
s*(s - 1)*(s + 1)*(s + 70)/7
Let h(s) be the third derivative of s**8/672 - s**7/30 - 17*s**6/240 + s**5/4 - 3*s**2 + 49*s. Suppose h(v) = 0. What is v?
-2, 0, 1, 15
Let p(c) be the first derivative of -2/3*c**3 - c**4 + 2/5*c**5 + 2*c**2 - 10 + 0*c. Determine s, given that p(s) = 0.
-1, 0, 1, 2
Let l be 2/(-84)*325 + 4*1. Let n = 110/21 + l. Suppose 1/2*j**5 - 1/2*j**2 + n*j**3 - 3/2*j**4 + 0*j + 0 = 0. Calculate j.
0, 1
Solve -3*p**2 - 26511806 - 6268186 - 4144035 + 6088719 + 5699*p + 13537*p = 0 for p.
3206
Factor x**2 + 1392400 + 1493*x - 285*x + 534*x + 618*x.
(x + 1180)**2
Let v be 4/22 + 8*465/1320. Let t(a) be the first derivative of 0*a + 16 + 1/18*a**v + 0*a**2. Let t(i) = 0. Calculate i.
0
Factor 5*s**4 - 240*s - 40*s**2 - 387*s**3 - 336*s**3 + 748*s**3.
5*s*(s - 3)*(s + 4)**2
Let b(v) be the third derivative of v**8/112 - 9*v**7/175 + 11*v**6/100 - 2*v**5/25 - 3*v**4/40 + v**3/5 + 5214*v**2. Let b(t) = 0. Calculate t.
-2/5, 1
Let x(b) = b**3 - 5*b**2 + 5*b - 1. Suppose 0 = 3*i - 9*i + 24. Let n be x(i). Solve -4*t + 4 - n*t**2 + t**2 + 4*t - 2*t = 0.
-2, 1
Suppose 225 = -106*x + 111*x. Determine l so that -9*l - 33 + 96 - 33 + 6*l**2 - x = 0.
-1, 5/2
Let l(c) be the second derivative of c**5/110 - c**4/33 - 73*c**3/33 - 70*c**2/11 - 72*c. Suppose l(i) = 0. What is i?
-7, -1, 10
Determine l so that 0 - 8*l - 40/3*l**2 - 14/3*l**3 + 4/3*l**4 + 2/3*l**5 = 0.
-2, -1, 0, 3
Suppose -622*s - 1872 = -778*s. Let -s*i - 2/3*i**2 - 34/3 = 0. Calculate i.
-17, -1
Let t = 11521 + -92159/8. Let r(v) be the first derivative of 1/12*v**3 - 1/40*v**5 - 1/8*v**4 + 21 + 3/4*v**2 - t*v. Factor r(c).
-(c - 1)**2*(c + 3)**2/8
Let p(q) = -2*q - 24. Let w be p(0). Let f be (5/(35/w))/(16/(-112)). Factor 6 - 3*a + 3*a**4 + 3*a**3 - 9*a**2 + 12 - 12*a - f.
3*(a - 2)*(a + 1)**3
Suppose 11*w - 4*j = 8*w - 2, -14 = -2*w - 5*j. Let r be w/30 - 10071/(-810). Factor r + 5*f + 1/2*f**2.
(f + 5)**2/2
Let u(k) = 6*k**3 - k**2 + 4*k - 4. Let y be u(1). Find b such that -95*b - 19*b + 10*b**5 - y + 28*b**2 + 104*b**3 + 41 + 4*b**4 - 68*b**4 = 0.
-1, 2/5, 1, 3
Let l be 4/(-10)*(3 - (5894/2105 + 11/5)). Find b such that -l*b + 0 - 1/5*b**2 = 0.
-4, 0
Let o = 244 + -125. Let v = -592/5 + o. Let 18/5*s**2 - 6/5*s**4 + 6/5 - v*s**3 + 21/5*s = 0. Calculate s.
-1, -1/2, 2
Let r(u) = u - 1. Let v be r(7). Let j(d) be the first derivative of -6/7*d + v + 5/7*d**2 + 22/21*d**3 + 3/14*d**4. Suppose j(a) = 0. Calculate a.
-3, -1, 1/3
Let u(c) be the third derivative of c - 4*c**2 - 4*c**3 + 0 + 1/6*c**4 + 4/15*c**5 + 1/30*c**6. Let u(x) = 0. Calculate x.
-3, -2, 1
Let p(l) be the first derivative of -l**6/16 - 51*l**5/40 - 165*l**4/32 - 35*l**3/8 + 21*l**2/2 + 39*l/2 - 3427. Find x, given that p(x) = 0.
-13, -2, -1, 1
Let t = 1498457/11 - 136223. Let 6/11*o**2 - 8/11*o**4 - 2/11 - t*o + 8/11*o**3 = 0. Calculate o.
-1/2, 1
Let n = -58 - -79. Factor -34 + 27*p**4 + 15 + n*p**3 + 8 - 21*p - 33*p**2 + 17.
3*(p - 1)*(p + 1)**2*(9*p - 2)
Let f(d) = 3*d**2 - 52*d + 125. Let c(b) = b - 20. Let l(p) = 4*c(p) + f(p). Factor l(m).
3*(m - 15)*(m - 1)
Factor -864/7*j + 0 - 2/7*j**3 + 32*j**2.
-2*j*(j - 108)*(j - 4)/7
Let l(b) be the third derivative of b**2 + 0*b + 1/30*b**5 - 1/12*b**6 + 0*b**4 + 1/15*b**7 - 1/56*b**8 + 15 + 0*b**3. Factor l(t).
-2*t**2*(t - 1)**2*(3*t - 1)
Let w(t) be the first derivative of -t**7/630 + t**6/360 + t**5/90 + 2*t**2 + 4*t - 55. Let a(r) be the second derivative of w(r). Factor a(g).
-g**2*(g - 2)*(g + 1)/3
Let g(t) be the third derivative of -22*t**2 - 4*t - 27/2*t**3 + 0 - 3/4*t**4 + 1/20*t**5. Factor g(m).
3*(m - 9)*(m + 3)
Suppose 276 = 13*s - 10*s. Let c = 94 - s. Let u**c - 26*u**3 + 6*u**4 - 4*u**2 + 29*u**3 - 3*u**2 - 3*u**5 = 0. Calculate u.
-1, 0, 1, 2
Let y(x) be the second derivative of -x**8/1176 + x**7/735 + x**6/420 - x**5/210 + 12*x**2 - 2*x + 48. Let l(c) be the first derivative of y(c). Factor l(m).
-2*m**2*(m - 1)**2*(m + 1)/7
Let a(q) = -7*q**3 - 77*q**2 + 323*q + 378. Let l(z) = -4*z**3 - 76*z**2 + 318*z + 380. Let d(u) = 2*a(u) - 3*l(u). Determine t, given that d(t) = 0.
-1, 6, 32
Let p(v) be the third derivative of -3/14*v**4 + 0*v - 54/7*v**3 + 111*v**2 + 0 - 1/420*v**5. Find s, given that p(s) = 0.
-18
Let x = -92989/3 - -31774. Let y = x + -777. Determine j, given that 4/3 - 2*j + y*j**3 + 0*j**2 = 0.
-2, 1
Let i(k) be the third derivative of -k**5/12 + 35*k**4/8 - 245*k**3/3 - 7*k**2 - 34. Factor i(f).
-5*(f - 14)*(f - 7)
Suppose -8*c = -172 - 476. Let a = 318 - c. Solve -114*f**2 + 3*f**5 - 108*f**5 - 24 + 138*f**4 - 124*f + a*f**3 - 8*f = 0.
-1, -2/5, -2/7, 1, 2
Let p(m) be the first derivative of m**3/12 - 75*m**2/8 + 37*m/2 - 1293. Solve p(z) = 0 for z.
1, 74
Let f(w) be the second derivative of w**6/15 - 553*w**5/10 + 33855*w**4/2 - 6126275*w**3/3 - 12663250*w**2 - w + 12. Suppose f(h) = 0. What is h?
-2, 185
Let a(t) be the third derivative of 1/60*t**5 + 1/10*t**4 + 0 + 1/900*t**6 + 0*t - 5*t**2 - 13/3*t**3. Let c(h) be the first derivative of a(h). Factor c(k).
2*(k + 2)*(k + 3)/5
Let a(h) be the third derivative of -h**6/480 - 3*h**5/40 - 27*h**4/32 - 25*h**3 - 27*h**2. Let o(z) be the first derivative of a(z). Solve o(k) = 0 for k.
-9, -3
Let j = 320707 - 320699. Let u be 3 + -2 - (-2)/(-6). Solve -8/3 + 2*a**4 + j*a - 2/3*a**5 - 22/3*a**2 + u*a**3 = 0.
-2, 1, 2
Let q = 421 + -422. Let t be 1*(-2)/13*q. Let t*b**2 - 2/13 + 2/13*b - 2/13*b**3 = 0. What is b?
-1, 1
Let g(i) be the second derivative of i**5/20 + 4*i**4/3 + i**2 - 31*i. Let r be g(-16). Determine q, given that -q**r - 1/6*q**3