7/3*h + 4/3*h**m + 1 = 0.
-1, -3/4
Let w(j) be the second derivative of j**4/54 + 58*j**3/27 + 112*j**2/9 + 4*j + 779. Suppose w(i) = 0. Calculate i.
-56, -2
Let -472/7*j + 6*j**5 - 24/7 - 166/7*j**4 - 50/7*j**3 + 670/7*j**2 = 0. What is j?
-2, -1/21, 1, 2, 3
What is w in -102065 + 102065 - 94*w - 339*w**2 + 6*w**3 - 152*w + 75*w = 0?
-1/2, 0, 57
Find r such that -25*r**4 + 15400*r - 1/8*r**5 - 2497/2*r**3 + 20000 + 302*r**2 = 0.
-100, -2, 4
Let y(g) = -11*g**3 - 45*g**2 - 99*g - 47. Let n(b) = -9*b**3 - 46*b**2 - 100*b - 48. Let w(t) = 6*n(t) - 5*y(t). Let w(i) = 0. What is i?
-1, 53
Suppose -4*b - 5*h + 33 = 0, 3*h = 7*h - 20. Determine m, given that -2043*m**5 - m**b + 0*m**2 + 2045*m**5 + 8*m**3 - 10*m - 3*m**2 + 8*m**4 - 4 = 0.
-2, -1, 1
Let d(v) be the second derivative of v**4/6 + 270*v**3 - 113*v + 2. Factor d(g).
2*g*(g + 810)
Determine v, given that 0 - 51/4*v - 1/4*v**3 + 205/8*v**2 = 0.
0, 1/2, 102
Let r(h) be the first derivative of -8*h**3/15 - 388*h**2/5 - 18818*h/5 + 764. Determine v so that r(v) = 0.
-97/2
Factor -2/7*u**2 - 110/7*u - 96.
-2*(u + 7)*(u + 48)/7
Let g(j) = -71*j**2 + 913*j. Let o(t) = 42*t**2 - 456*t. Let v(n) = 3*g(n) + 5*o(n). Factor v(z).
-3*z*(z - 153)
Let m be (12/18)/(6/9). Let r be (55/(-10) + 6)/(m/4). Factor -2/5*x**2 - 8/5 + r*x.
-2*(x - 4)*(x - 1)/5
Suppose -279*u - 36 - 234*u + 182*u - 198*u - 17*u + 92*u**2 = 0. Calculate u.
-3/46, 6
Let l = 89/4 + -22. Let t be 6*(5215/460 + 0 + 12/(-138) + -11). Find w, given that 5/4 + t*w + l*w**2 = 0.
-5, -1
Let m = -558 - -372. Let x be m/(-38) - 40/(-380). Solve -6*f**2 + 27*f**3 - 9*f**4 - 12*f**x - 76 + 76 = 0 for f.
-2, 0, 1/4, 1
Let l be (-11 + (-2403)/(-216))*2. Factor -7/2 + 15/4*p - l*p**2.
-(p - 14)*(p - 1)/4
Let d = 6995/12 - 6929/12. Factor 1/2*l**5 + 0*l + 3*l**4 + 0 + d*l**3 + 3*l**2.
l**2*(l + 1)*(l + 2)*(l + 3)/2
Let d(h) = 3*h**2 - 63*h + 9. Let c be d(0). Let n(a) be the first derivative of -5*a**3 - 25 - c*a + 21/2*a**2 + 3/4*a**4. Suppose n(b) = 0. Calculate b.
1, 3
Let k be (-50)/2 + (-296)/37. Let f be ((-6)/k)/((-18)/(-198)). Determine c so that -4/5*c**4 + 0*c**f + 0*c + 1/5*c**5 + 3/5*c**3 + 0 = 0.
0, 1, 3
Let n be 384902/238 - ((-15)/5 + -2). Let m = -1622 + n. Factor -2/17*g**2 - 2/17*g + m.
-2*(g - 1)*(g + 2)/17
Let 42*p**2 - 321*p**2 - 278*p**2 - 2*p**5 + 173*p**2 + 106*p**4 + 8*p**3 - 40*p**2 = 0. Calculate p.
-2, 0, 2, 53
Suppose 15*s = 16*s + v, -s + 5*v = -24. Let -630*u + 657*u**3 - 150*u**2 - 394*u + 27*u**5 + 316*u - 702*u**s + 628*u**2 + 200 = 0. What is u?
-1, 2/3, 25
Solve 2919*u + 36*u**2 - 113*u**3 + 588 - 105*u**2 - 66*u**2 + 15*u**4 - 34*u**3 = 0 for u.
-4, -1/5, 7
Let s(v) = -7*v**3 + 8*v**2 + 72*v. Let n(l) = 10*l**3 - 13*l**2 - 108*l. Let k(o) = 5*n(o) + 7*s(o). Factor k(q).
q*(q - 12)*(q + 3)
Let j be -2016 + 1962 + 274/5. Determine v so that -12/5*v**2 + 4/5*v**3 + 12/5*v - j = 0.
1
Determine h so that -h**4 + 1/3*h**3 - 2/3*h + 0 + h**2 + 1/3*h**5 = 0.
-1, 0, 1, 2
Let b(y) = -y**5 - 11*y**4 - 8*y**3 - 2. Let g(n) = 5 - 28*n**5 + 53*n**5 - 23*n**5 + 15*n**3 + 24*n**4. Let x(q) = 15*b(q) + 6*g(q). Solve x(p) = 0.
-5, -2, 0
Suppose 15 = -5*f, 2*h - f = 6*h + 3. Suppose -3*i - 2*a = 0, -i - a = -2*a. Factor h*c - 2/9*c**2 + i - 2/9*c**3.
-2*c**2*(c + 1)/9
Let h(g) = 4*g**2 - 175*g - 173. Let s(d) = -d + 1. Let o(u) = -h(u) + 3*s(u). Find v such that o(v) = 0.
-1, 44
Factor -16/7*w**3 + 100/7*w - 32/7 + 116/7*w**2.
-4*(w - 8)*(w + 1)*(4*w - 1)/7
Let c be 6/(-5) + ((-104)/130)/((-1)/4). Factor -9/7*o**c + 0 - 3/7*o**3 + 0*o.
-3*o**2*(o + 3)/7
Let t(l) = l**3 - l**2 + 7*l - 1. Let a(n) = -12*n**3 - 258*n**2 - 381*n + 15. Let s(r) = a(r) + 15*t(r). Suppose s(z) = 0. Calculate z.
-1, 0, 92
What is n in -2491*n + 3*n**2 - 1756*n - 1214*n + 7072*n = 0?
-537, 0
Let x(r) be the third derivative of -4/3*r**3 - 1/336*r**8 + 1/2*r**4 + 0 - 11/120*r**6 + 0*r + 1/30*r**5 - r**2 + 1/35*r**7. Factor x(v).
-(v - 2)**3*(v - 1)*(v + 1)
Let o be ((1751/(-309))/17)/((2/3)/((-4)/6)). Let 14/3 + 4/3*v**2 - 19/3*v + o*v**3 = 0. What is v?
-7, 1, 2
Let w(u) be the first derivative of u**4/20 - 21*u**3/5 + 128*u + 167. Let x(d) be the first derivative of w(d). Determine a, given that x(a) = 0.
0, 42
Let h = 21 + -16. Suppose 5*g + 15 = h*n, -5*g = -2*n + 9 - 0. Let -16*q**n + 134*q**3 + 116*q**3 - 230*q**3 - 4*q**4 = 0. What is q?
0, 1, 4
Suppose 17*z - 213*z + 9750 = 179*z. Let l(p) be the first derivative of 1/3*p**2 + 5/9*p**3 + z + 0*p + 1/4*p**4. Factor l(b).
b*(b + 1)*(3*b + 2)/3
Let m(q) = -q + 2. Let w(y) = -2*y**3 - 108*y**2 + 243*y + 890. Let s(t) = -3*m(t) - w(t). Suppose s(a) = 0. What is a?
-56, -2, 4
Solve -544/15*g + 596/15*g**2 + 6/5*g**3 + 0 = 0.
-34, 0, 8/9
Let m = 1/11146441 - -7769068067/14601837710. Let p = 1/786 + m. Factor 8/15 + 2/15*k**2 - p*k.
2*(k - 2)**2/15
Let g(b) be the first derivative of b**5/20 + 47*b**4/8 + 617*b**3/12 + 85*b**2 - 348*b - 1709. Factor g(o).
(o - 1)*(o + 4)**2*(o + 87)/4
Let 64 + 23/5*j**4 + 629/5*j**2 - 784/5*j - 1/5*j**5 - 187/5*j**3 = 0. Calculate j.
1, 5, 8
Let j(v) be the second derivative of v**4/32 - 1231*v**3/4 + 4546083*v**2/4 + 8910*v + 2. Solve j(m) = 0.
2462
Let y be 921/4266*-3 + (-12)/(-27). Let h = 3/158 - y. Factor -4/3 + 10/9*j - h*j**2.
-2*(j - 3)*(j - 2)/9
Let m(x) be the third derivative of 1/360*x**5 - 7/36*x**3 - 1/24*x**4 + 1 + 41*x**2 + 0*x. Suppose m(l) = 0. What is l?
-1, 7
Let w(d) be the second derivative of -1/6*d**4 + 0*d**2 + 0*d**3 - 4 - 1/20*d**5 - 4*d. Factor w(f).
-f**2*(f + 2)
Solve -1/4*n**3 + 51/2*n**2 - 48*n - 200 = 0 for n.
-2, 4, 100
Let b be ((-1)/(-4) + (-16921)/(-28))*80220/34380. Factor 92/3*t + 1/6*t**2 + b.
(t + 92)**2/6
Let j(p) be the third derivative of p**6/720 + p**5/10 - 13*p**4/12 + 40*p**3/9 + 419*p**2 - 2. Factor j(u).
(u - 2)**2*(u + 40)/6
Factor -219*y + 0 - 1/3*y**2.
-y*(y + 657)/3
Let n(k) be the second derivative of 17/25*k**5 + 77*k - 32/5*k**2 - 19/225*k**6 + 248/45*k**3 - 118/45*k**4 + 0 + 1/315*k**7. Solve n(v) = 0 for v.
1, 2, 12
Let r be (((-5859)/90)/93)/(22/(-10)). Let a(q) be the first derivative of r*q**4 - 4/55*q**5 + 0*q**2 + 13 + 0*q - 1/33*q**6 - 8/33*q**3. Factor a(i).
-2*i**2*(i - 1)**2*(i + 4)/11
Suppose 0 = 15*b - 11*b - 44. Suppose -b*h + 474 = -9*h. Solve -3*u**3 + 3*u**5 - 238*u**4 - u**2 + h*u**4 + 2*u**2 = 0.
-1, 0, 1/3, 1
Let -9/4*d**2 - 285/2*d - 9025/4 = 0. What is d?
-95/3
Let c(u) be the first derivative of -u**4/26 + 10*u**3/39 + u**2 + 14*u/13 + 7586. Factor c(n).
-2*(n - 7)*(n + 1)**2/13
Let x(g) be the first derivative of g**6/24 - g**5/20 - g**4/4 + g**3/3 + 1024. Suppose x(f) = 0. What is f?
-2, 0, 1, 2
Let f be 3/(-24)*(-120)/18*(-129465)/(-1050). Factor f*q + 45/2 + 27/4*q**2.
3*(q + 15)*(9*q + 2)/4
Factor -2*u**2 - 541245*u + 270752*u - 597 + 270829*u - 715.
-2*(u - 164)*(u - 4)
Factor 718 + 15*a**3 - 1197*a**2 + 2154 - 444 - 64 + 1442*a - 290*a.
3*(a - 2)*(a + 1)*(5*a - 394)
Let n = -536981/5 - -107401. Solve 0 - 72/5*k - 2/5*k**3 - n*k**2 = 0.
-6, 0
Suppose -z + 4*r + 11 = r, 4*z - 2 = -2*r. Factor 21*u + 17*u**z + 16*u**2 - 30*u**2.
3*u*(u + 7)
Let l = -449 - -394. Let t = 441/8 + l. Factor 1/4*h + 0*h**2 + 1/8 - 1/4*h**3 - t*h**4.
-(h - 1)*(h + 1)**3/8
Suppose 56 = 78*r - 100. Suppose 13 = 3*n - p, -2*p + 0*p = 8. Factor -n*y + 9*y - 2*y**3 + 350 - 342 + 2*y - r*y**2.
-2*(y - 2)*(y + 1)*(y + 2)
Let v = -42 + 54. Suppose v*x + 0*x = 48. Find t such that x*t**5 + 2750 - 24*t**4 + 36*t**3 - 16*t**2 - 2750 = 0.
0, 1, 4
Let n(d) = d**5 - 12*d**4 - 32*d**3 - 9*d**2 + 13*d - 6. Let t(l) = 2*l**5 - 11*l**4 - 32*l**3 - 8*l**2 + 12*l - 8. Let q(f) = -4*n(f) + 3*t(f). Factor q(g).
g*(g + 2)**2*(g + 4)*(2*g - 1)
Let s(n) = -10*n**4 + 15*n**3 + 33*n**2 + 23*n - 3. Let x(u) = 112*u**4 - 166*u**3 - 362*u**2 - 254*u + 34. Let m(c) = -34*s(c) - 3*x(c). Factor m(r).
4*r*(r - 5)*(r + 1)**2
Let g be (-43)/(-602)*(-105)/(-30). Determine y so that -1/4*y**3 + 2*y**2 - g*y**4 + 0 + 3*y = 0.
-2, 0, 3
Let d(a) = 97*a + 34*a**2 + 8 - 24*a - 26*a - 18*a - 21*a. Let b(p) = -13*p**2 - 3*p - 3. Let s(j) = -8*b(j) - 3*d(j). Factor s(l).
2*l**2
Let c(u) be the third derivative of -198*u**5/5 - 1781*u**4/6 + 2*u**3 + 2*u**2 - 21*u - 45. Suppose c(p) = 0. Calculate p.
-3, 1/594
Let o(g) be the third derivative of -g**8/3