-1/16*h**2 - 1/24*h**3 + 18 - 3*h - 1/96*h**4. Let v(z) be the first derivative of u(z). Factor v(j).
-(j + 1)**2/8
Let u(o) be the first derivative of 16*o - 83 - 2*o**3 - 6*o**2 + 1/2*o**4. Find a such that u(a) = 0.
-2, 1, 4
Factor 7*g - g**4 - 33*g**3 - 7*g + 22*g**3 + 13*g**2 + 13*g**2.
-g**2*(g - 2)*(g + 13)
Let 27/7*m + 243/7 + 1/7*m**3 - 15/7*m**2 = 0. Calculate m.
-3, 9
Let a be ((-1864)/(-96))/(4/32). Let w = a - 917/6. Find q such that 5/2 - 5*q + w*q**2 = 0.
1
Let t be (-106)/10 - (3060/(-252) - (-2)/14). Factor 12/5 + 1/5*v**2 - t*v.
(v - 4)*(v - 3)/5
Let d(k) = 261*k**3 - k**2 + 2. Let s be d(1). Let p be (-27)/3 + s/18. Let -40/3*g - 92/9*g**2 - 2/9*g**4 - 8/3*g**3 - p = 0. Calculate g.
-5, -1
Let z(c) be the first derivative of -c**4/4 + 3*c**3 + 8*c**2 - 60*c + 6244. What is h in z(h) = 0?
-3, 2, 10
Let y(n) be the third derivative of 0*n**3 - n**2 - 45 + 0*n - 1/36*n**4 + 43/180*n**5. Solve y(k) = 0.
0, 2/43
Let o be 4/19*(1533/42 + -27). Factor -24/5*s**o - 4/5*s**3 - 36/5*s - 16/5.
-4*(s + 1)**2*(s + 4)/5
Let u be (-2583)/(-84)*(-4)/6*113. Let g = u + 2317. Solve -g*m**4 + 1/2*m**2 + 1/2*m**3 + 0 - 1/2*m = 0.
-1, 0, 1
Let g(b) be the third derivative of -17/480*b**6 + 1/4*b**4 + 1/6*b**3 - 1/80*b**5 + 0*b + 1/140*b**7 - b**2 + 0. Factor g(z).
(z - 2)**2*(z + 1)*(6*z + 1)/4
Factor 94*l + 125*l**2 - 33*l + 3*l**4 - 2*l**3 + 82*l**2 + 41*l + 110*l**3.
3*l*(l + 1)**2*(l + 34)
Let n(r) = 3*r**3 - r**2 - r. Let m(o) = 3058*o**3 - 3256*o**2 + 213*o - 4. Let j(c) = 4*m(c) - 44*n(c). Determine z so that j(z) = 0.
2/55, 1
Let a = -1031399 + 1031401. Factor 216/7 - 66/7*g**a - 18/7*g**3 + 288/7*g.
-6*(g - 3)*(g + 6)*(3*g + 2)/7
Let l = -3 + 8. Let x(w) = w**2 + 3*w + 5. Let p be x(-4). Solve 3*b**2 + 16*b**5 + p*b**4 + 22*b**5 + 18*b**l - 53*b**5 + 9*b**3 = 0.
-1, 0
Suppose 0 = 197*c - 599 + 205. Factor 24/7 - 16/7*k + 2/7*k**c.
2*(k - 6)*(k - 2)/7
Suppose 2*r = 4*r + 60. Let f be ((-20)/12 + 1)/(4/r). Let -f*k**5 - 3*k**4 - 23 - 2*k**3 + 23 + 4*k**5 = 0. Calculate k.
-2, -1, 0
Let j = -87930 - -439778/5. Factor -32*z - 2/5*z**3 + j + 34/5*z**2.
-2*(z - 8)**2*(z - 1)/5
Let k(d) be the second derivative of -d**9/11340 + d**8/2520 - d**7/1890 - d**4/6 - 10*d**2 - 4*d. Let z(c) be the third derivative of k(c). Factor z(n).
-4*n**2*(n - 1)**2/3
Let s be (-8344)/9387 + (7 - 9/2) + 3/(-2). Solve 0 - s*q - 32/9*q**2 - 31/9*q**3 = 0 for q.
-1, -1/31, 0
Let m(d) = -37*d - 220. Let i = 285 - 291. Let x be m(i). Factor -13/3*l**2 - x*l**3 - 4*l - 4/3 - 1/3*l**4.
-(l + 1)**2*(l + 2)**2/3
Let p(f) be the third derivative of f**6/60 - 2*f**5/15 + 5*f**4/12 - 2*f**3/3 + 35*f**2 + 6. Factor p(g).
2*(g - 2)*(g - 1)**2
Let y(k) be the third derivative of k**7/525 - 151*k**6/300 + 5773*k**5/150 - 355*k**4/4 - 750*k**3 - 2*k**2 + 2*k + 3. Suppose y(b) = 0. What is b?
-1, 2, 75
Let f(o) = -11*o**2 + 134*o + 313. Let c(x) = 20*x**2 - 252*x - 628. Let b(w) = -6*c(w) - 11*f(w). Determine g, given that b(g) = 0.
-25, -13
Let r be 160/120 - 4190/6. Let c = -695 - r. Solve 5/2*s**3 + c - 3/2*s**2 - 5/2*s - 1/2*s**4 = 0.
-1, 1, 4
Solve -162*v**4 - 3*v**5 - 567*v - 384*v**2 + 492*v**2 + 6*v**5 + 14*v**5 - 162 + 330*v**3 + 4*v**5 = 0.
-1, -2/7, 3
Let n(f) = -f**3 - 3*f**2 + 18*f - 8. Let d be n(-6). Let c be (-90)/(-135) - (0 + d/6). Factor -3/5*x**3 + 81/5 + 27/5*x**c - 81/5*x.
-3*(x - 3)**3/5
Let p = 768044/230415 + 2/76805. Factor -26/3*r + p*r**2 + 14/3 + 2/3*r**3.
2*(r - 1)**2*(r + 7)/3
Let f be (44/22)/((-2)/(-23)). Factor 45*s**2 - 35*s**3 + 41*s - 5*s**4 + 0*s**2 - 17 - 6*s - f.
-5*(s - 1)**2*(s + 1)*(s + 8)
Let r(z) be the first derivative of -z**3/6 - 7*z**2 - 48*z + 2222. Solve r(b) = 0 for b.
-24, -4
Let l(d) be the third derivative of -d**6/24 - d**5/2 + 355*d**4/8 + 1105*d**3/3 - 3782*d**2 + 3*d. Factor l(a).
-5*(a - 13)*(a + 2)*(a + 17)
Let v be (-110)/(-66) - (-1)/3. Determine n so that -3*n + 2 + 4*n**3 - 20*n**4 + n**2 - v*n**2 - 16*n**4 + 35*n**4 - n**3 = 0.
-1, 1, 2
Let t(j) be the first derivative of j**6/30 + j**5/25 - 51*j**4/20 - 149*j**3/15 - 73*j**2/5 - 48*j/5 + 2695. Determine d so that t(d) = 0.
-6, -1, 8
Let q(l) be the third derivative of l**6/40 + 19*l**5/10 + 73*l**4/8 + 18*l**3 - l**2 - 509*l. Factor q(x).
3*(x + 1)**2*(x + 36)
Let l(z) = z**3 + 99*z**2 - 77*z + 2332. Let d be l(-100). Let y(w) be the first derivative of -6/7*w - d + 1/21*w**3 - 5/14*w**2. Solve y(s) = 0 for s.
-1, 6
Let o be (340/40 - 9)/(-6). Let b(g) be the third derivative of -o*g**5 + 0*g + 0*g**3 + 0 - 16*g**2 + 5/24*g**4. Suppose b(m) = 0. Calculate m.
0, 1
Let v(x) be the first derivative of 1/8*x**4 + 0*x - 2*x**2 + 1/3*x**3 + 45. Factor v(c).
c*(c - 2)*(c + 4)/2
Let s(x) = 5*x - 13. Let b be s(5). Factor -13*l**5 + 0*l**4 + b*l**5 + 11*l**4 + 8*l**3 - 4*l**4.
-l**3*(l - 8)*(l + 1)
Let x(d) be the third derivative of -3*d**8/112 + 17*d**7/35 + 71*d**6/120 + d**5/5 + 47*d**2 + 2*d. What is z in x(z) = 0?
-1/3, 0, 12
Let 199*l**4 + 2*l**5 + 86*l**3 - 4*l**4 - 225*l**4 + 0*l**5 + 30*l**2 - 88*l = 0. Calculate l.
-1, 0, 1, 4, 11
Suppose -3*z + 6 = 3*q, 3*z - 216 + 192 = 6*q. Let l(b) be the first derivative of 22/3*b**3 + 26 - z*b - 9*b**2. What is o in l(o) = 0?
-2/11, 1
Let x = -115 - -119. Let g(f) = -f**4 + 11*f**2 + f. Let h(r) = r**3 - r**2 + r. Let i(l) = x*h(l) - 4*g(l). Determine w so that i(w) = 0.
-4, 0, 3
Find o such that -56 + 1057*o**3 - 34 - 1217*o**3 - 2085*o - 4248*o**3 - 12580*o**2 - 1372*o**3 = 0.
-2, -3/34
Let o be (-66)/(-5 + 2) + -1. Suppose 4*r + l = o, -r - 5*l = 4*r - 45. Factor -3*b**r + 12*b - 5*b**3 + 2*b**3 - 3*b**3 + b**2 + 8*b**2 - 12.
-3*(b - 1)**2*(b + 2)**2
Let l(g) = g**2 + g - 1. Let w(k) = 3*k**2 + 10*k - 13. Let z(r) = -20*l(r) + 5*w(r). Find y such that z(y) = 0.
3
Let 2/9*x**3 - 22/9*x**2 - 112/9*x - 40/3 = 0. Calculate x.
-2, 15
Let t = -196/8769 - -27679/61383. Factor -30/7*m + 0 - 3*m**2 - t*m**3.
-3*m*(m + 2)*(m + 5)/7
Let u(d) = 42*d**3 - 2100*d**2 + 2*d - 70. Let k be u(50). Solve k - 41*w**3 - 97/2*w**2 + 62*w - 5/2*w**4 = 0.
-15, -2, -2/5, 1
Let n be ((-11976)/18962)/(3/(-57)). Factor n*z - 342 - 2/19*z**2.
-2*(z - 57)**2/19
Let v(r) = r**2 + 2*r - 10. Let f be v(-5). Factor -3*h**2 + 3*h**4 + 3*h**3 + 12*h**f - 2*h**5 - 6*h**5 - 7*h**5.
-3*h**2*(h - 1)**2*(h + 1)
Factor -375/7*f**2 - 381/7 + 759/7*f - 3/7*f**3.
-3*(f - 1)**2*(f + 127)/7
Suppose 9*g - 6*g = -5*x - 3, -3*x + 4 = -4*g. Suppose 3*s**3 + 5*s**5 + x*s**5 - s**2 + 4*s**3 + 191*s**4 - 202*s**4 = 0. What is s?
0, 1/5, 1
Let g(y) = 4*y**3 + 4*y**2 + 5*y + 2. Let d be g(-2). Let p be d/(-858) + 0 - 4/(-26). Let p*v + 2/11*v**2 + 0 = 0. Calculate v.
-1, 0
Let h = 35580/91 - 4860/13. Let g = -474/35 + h. Factor -g + 21/5*u - 8/5*u**2 + 1/5*u**3.
(u - 3)**2*(u - 2)/5
Let c = -587/20562 + 16/447. Let s(n) be the second derivative of 0 - c*n**4 + 2/69*n**3 + 13*n + 3/23*n**2. Determine p so that s(p) = 0.
-1, 3
Let u be 1/(-14)*(-28427)/(-186) - 33*(-16)/48. Factor -u*a**3 - 11/12*a**2 - 8/3*a - 7/3.
-(a + 2)**2*(a + 7)/12
Let i(g) be the third derivative of 91*g**2 + 0*g**3 + 0 - 1/8*g**4 + 1/180*g**5 + 0*g. Factor i(r).
r*(r - 9)/3
Let r(g) = 7*g**2 + 10*g + 3. Let i(a) = 6*a**2 + 10*a + 4. Let o = 117 - 75. Let m = o - 37. Let l(u) = m*i(u) - 4*r(u). Factor l(j).
2*(j + 1)*(j + 4)
Let d(c) be the first derivative of c**6/6 - 49*c**5/5 + 897*c**4/4 - 7267*c**3/3 + 10985*c**2 - 50. Factor d(b).
b*(b - 13)**3*(b - 10)
Let c(y) = 10*y**2 + 44*y - 21. Let v(u) be the second derivative of 7*u**4/12 + 29*u**3/6 - 15*u**2/2 - 7*u. Let q(s) = 5*c(s) - 7*v(s). Factor q(i).
i*(i + 17)
Suppose -8*t + 1927 = 34*t + 1801. Let 2*g**t + 13/3*g**2 + 1/3*g**4 + 4/3 + 4*g = 0. Calculate g.
-2, -1
Let p(y) be the second derivative of y + 165 - 13/3*y**3 + 1/12*y**4 + 25/2*y**2. Factor p(t).
(t - 25)*(t - 1)
Let x(r) = -21*r - 187. Let w be x(-9). Let p be (-10)/8*w*-1. Factor 1/2*l**2 + p*l + 3.
(l + 2)*(l + 3)/2
Let b(q) be the third derivative of 1/20*q**5 - 2*q**2 - 40*q + 0 + 1/2*q**4 + 2*q**3. Find o such that b(o) = 0.
-2
Find s such that -16704*s - 40892/5*s**2 - 2/5*s**4 + 576/5*s**3 - 8410 = 0.
-1, 145
Suppose 4*t - n - 88 = -0*n, 25 = t - n. Suppose -4*k - 1 = -t. Factor 0*g**3 - 4*g + 15*g**2 - k*g**3 + 4*g.
-5*g**2*(g - 3)
Let s be 0/(3/(-1) - -5). Let b = 97/1