Factor 5/7*v**2 + 0 + 0*v - 4/7*v**k - 1/7*v**4.
-v**2*(v - 1)*(v + 5)/7
Determine k, given that 12/5 + 287/5*k - 24/5*k**2 = 0.
-1/24, 12
Let n be (-2)/(-11)*3424/1712. Factor 8/11*d - 2/11*d**4 + 0 + 14/11*d**2 + n*d**3.
-2*d*(d - 4)*(d + 1)**2/11
Let b(t) = -282*t + 1128. Let y be b(4). Let x(f) be the second derivative of y + 0*f**2 + 4/27*f**4 + 1/135*f**6 + 4/27*f**3 + 32*f + 1/18*f**5. Factor x(w).
2*w*(w + 1)*(w + 2)**2/9
Determine q so that -160439*q + 154167*q + 2*q**2 - 1275731 + 6192979 = 0.
1568
Let l(f) be the first derivative of f**6/20 - 9*f**5/20 - 15*f**4/8 - 2*f**3 + 14*f + 139. Let w(x) be the first derivative of l(x). Let w(p) = 0. What is p?
-1, 0, 8
Let k(i) be the second derivative of 1 + 28*i - 11*i**3 + 0*i**2 + 13/4*i**4 - 3/20*i**5. Factor k(m).
-3*m*(m - 11)*(m - 2)
Let g be ((-18)/71280*-44)/(3/27). Determine l, given that -4/5*l + 3/10*l**2 + 1/5*l**3 + 2/5 - g*l**4 = 0.
-2, 1, 2
Let m(x) be the third derivative of 1/30*x**6 - x**2 - 16/3*x**3 + 22*x - x**4 + 0 + 1/5*x**5. Factor m(a).
4*(a - 2)*(a + 1)*(a + 4)
Let z(q) = 6498*q**2 + 23*q - 6497*q**2 + 3 - 15. Let w be z(-24). Factor 2*b**2 - 6*b - w + 14/9*b**3 + 2/9*b**4.
2*(b - 2)*(b + 3)**3/9
Let d(o) be the second derivative of o**5/70 - 13*o**4/14 + 58*o**3/7 - 136*o**2/7 + 10*o + 78. Factor d(u).
2*(u - 34)*(u - 4)*(u - 1)/7
Solve 232/3*a + 4/3*a**2 - 8300/3 = 0 for a.
-83, 25
Let b(n) be the first derivative of 513/4*n**4 + 7/2*n**6 + 135*n**3 + 0*n - 81*n**2 + 46 + 183/5*n**5. Solve b(i) = 0 for i.
-3, 0, 2/7
Factor 700*l - 23 + 860*l - 85 - 142*l**2 - 194*l**2 - 42*l**3 - 333*l**2.
-3*(l - 2)*(l + 18)*(14*l - 1)
Let u(l) = l**4 + l**3 - l**2 - 3*l + 3. Let z(m) = -24*m**4 - 519*m**3 - 2103*m**2 + 1569*m - 264. Let f(k) = 3*u(k) - z(k). Solve f(r) = 0 for r.
-13, -7, 1/3
Suppose -5*y = -2*q + 3698 - 88, q - 4*y - 1811 = 0. Let a = q + -1792. Factor 2/11*h**a - 2/11*h**4 + 0 + 0*h**2 + 0*h.
-2*h**3*(h - 1)/11
Let d(w) be the second derivative of 6*w**5/35 - 391*w**4/42 - 167*w**3/21 + 66*w**2/7 + 203*w + 3. Solve d(z) = 0 for z.
-2/3, 1/4, 33
Let f(m) be the third derivative of m**6/320 - 2127*m**5/40 + 1508043*m**4/4 - 1425603316*m**3 + 4514*m**2. Factor f(i).
3*(i - 2836)**3/8
Find u, given that -158*u**2 - 36*u**2 + 5*u**3 + 1088*u + 24*u**2 - 143*u = 0.
0, 7, 27
Suppose -4*i - 5*h + 127 + 52 = 0, i - 3*h = 49. Suppose -i*a + 6 = -43*a. Suppose -1/3*r**3 - 1 + 5/3*r - 1/3*r**a = 0. What is r?
-3, 1
Let u be -23 - (-23 - (12 - 1180/100)). Factor -1/5*h**5 + 1/5*h**4 - 2/5*h**2 - 1/5*h + 2/5*h**3 + u.
-(h - 1)**3*(h + 1)**2/5
Let b(u) be the first derivative of 2*u**3/3 - 2*u**2 + 2*u - 727. Factor b(q).
2*(q - 1)**2
Let y(x) be the first derivative of -3 - 2*x + 8/9*x**2 + 2/27*x**3. Find i, given that y(i) = 0.
-9, 1
Let u(m) = m**3 - 3*m**2 + 108*m + 3. Let j be u(0). What is s in -8/21 + 8/21*s**2 - 2/21*s + 2/21*s**j = 0?
-4, -1, 1
Suppose -32*b + 371 = -25*b. Suppose 35 = -9*n + b. Determine k, given that 0 + n*k + 1/2*k**2 = 0.
-4, 0
Find g, given that -62 + 29571*g**2 - 14736*g**2 + 6*g - 14767*g**2 = 0.
-1, 31/34
Let l(b) be the first derivative of 125*b**6/6 + 470*b**5 - 5565*b**4/4 + 4342*b**3/3 - 710*b**2 + 168*b - 77. Factor l(d).
(d - 1)*(d + 21)*(5*d - 2)**3
Let h(c) be the second derivative of c**6/30 - 22*c**5/3 + 3577*c**4/6 - 19208*c**3 - 117649*c**2/6 - 688*c + 1. Determine r, given that h(r) = 0.
-1/3, 49
Factor -24/7*g**3 + 57/7*g**2 - 30/7*g - 3/7*g**4 + 0.
-3*g*(g - 1)**2*(g + 10)/7
Suppose 413 - 353 = 15*q. Let y(t) = -6*t**2 + 0 + 0 + 1 + 16*t. Let d(u) = 7*u**2 - 16*u - 2. Let j(c) = q*y(c) + 6*d(c). Solve j(f) = 0 for f.
-2/9, 2
Let z = 33613/67218 - 2/33609. Let r(o) be the first derivative of -1/8*o**4 + 11 + 1/4*o**2 + 1/6*o**3 - z*o. Factor r(i).
-(i - 1)**2*(i + 1)/2
Let p(d) be the second derivative of 0 + 82*d + 0*d**2 + 1/20*d**4 + 21/10*d**3. Suppose p(f) = 0. What is f?
-21, 0
Suppose 919 = 1121*f - 2507 - 61 + 124. Factor -4/3*c - 1/3*c**4 - 5/3*c**f - 8/3*c**2 + 0.
-c*(c + 1)*(c + 2)**2/3
Let z(n) be the second derivative of -n**7/42 + 22*n**6/75 + 69*n**5/100 - 22*n**4/15 - 2*n**3/3 - n + 2245. Suppose z(y) = 0. What is y?
-2, -1/5, 0, 1, 10
Let c(b) be the third derivative of b**6/90 + 2*b**5/15 - 11*b**3/3 - 2*b**2 + 27. Let p(d) be the first derivative of c(d). Factor p(f).
4*f*(f + 4)
Let h(j) be the second derivative of -5*j**4/12 + 410*j**3/3 - 815*j**2/2 + 84*j + 1. Determine i, given that h(i) = 0.
1, 163
Let i(l) be the first derivative of 0*l - 25/3*l**3 - 15/2*l**2 - 5/4*l**4 + 53 + l**5. Factor i(n).
5*n*(n - 3)*(n + 1)**2
Suppose 0 = -9*c + 170 + 154. Let o be 50/(-210)*c/(-30). Factor 0 + 8/7*j**2 + o*j - 10/7*j**3.
-2*j*(j - 1)*(5*j + 1)/7
Let l(d) = -d**2 + 3*d + 2. Let g be l(2). Factor 448*k**3 - 2 - k + k**g - 2*k + k**2 - 445*k**3.
(k - 1)*(k + 1)**2*(k + 2)
Let u(b) be the first derivative of -b**3/9 - 269*b**2/3 - 72361*b/3 + 1751. Factor u(a).
-(a + 269)**2/3
Suppose -275*i + 287*i - 24 = 0. Determine g, given that -5 - 53*g**3 - 21*g - 8 + 18*g**3 + 16*g - 2 + 55*g**i = 0.
-3/7, 1
Suppose 0 = -3*q + 5*x - 128, -2*x - x = -12. Let u be ((-4)/6)/(-4 + (-136)/q). What is t in -t**u + 48 + 2*t**3 - 24 - 3*t - 26 = 0?
-1, 2
Let b = 681 - 621. Let q be b/30 - (1 - (3 + -4)). Factor -3/4*c**3 + 7/4*c**2 + q*c - 1.
-(c - 2)*(c - 1)*(3*c + 2)/4
Let m(i) be the first derivative of i**3 - 1911*i**2 + 3819*i + 4746. Factor m(y).
3*(y - 1273)*(y - 1)
Let c = 473 - 470. Let z be ((-36)/27)/(-2)*c. Factor -8*m**2 - z*m**4 - 2/3 - 20/3*m**3 - 4*m.
-2*(m + 1)**3*(3*m + 1)/3
Let k(j) be the second derivative of 1/2*j**2 + 1/132*j**4 + 2/33*j**3 - 1/330*j**5 + 16*j + 0. Let a(d) be the first derivative of k(d). Factor a(s).
-2*(s - 2)*(s + 1)/11
Determine g so that 38 + 1/6*g**2 + 58/3*g = 0.
-114, -2
Let n(t) = -t**2 + 16*t - 24. Let f be n(13). Suppose -137 = -a - 37. Find v such that a - f*v + 4*v**2 + v + 44*v + 10*v = 0.
-5
Let r(p) be the first derivative of 5*p**3/3 + 65*p**2 - 435*p + 915. Suppose r(o) = 0. Calculate o.
-29, 3
Suppose 4*i - 4 = -k, -i + 4*i + k - 3 = 0. Let v(n) = 2*n**3 + 42*n**2 + 138*n + 98. Let z(c) = c**3 + c**2 + c + 1. Let t(f) = i*v(f) + 2*z(f). Factor t(m).
4*(m + 1)*(m + 5)**2
Let u be (-2 + (-10)/(-3))*(-60)/8. Let i be ((-4)/60 - 4/u)*795. Let 2*p - p + 264*p**2 - i*p**2 = 0. What is p?
0, 1
Let f(g) be the second derivative of -2/9*g**3 + 35/3*g**2 - 1/18*g**4 - 1 - 26*g. Factor f(r).
-2*(r - 5)*(r + 7)/3
Let t(o) = -14*o - 122. Let r be t(-10). Let l be r/(-63) + ((-44)/(-56) - 0). Find m, given that 0*m + l*m**5 + 0 + 1/2*m**2 - 1/2*m**4 - 1/2*m**3 = 0.
-1, 0, 1
Let q(v) be the third derivative of 3*v**6/380 - 7*v**5/285 - 2*v**4/57 - 292*v**2 + 2*v. Suppose q(u) = 0. What is u?
-4/9, 0, 2
Let q(h) = h**3 - 17*h**2 + 2*h - 30. Let f be q(17). Factor 4*x**f - 1800*x + 191*x**2 - 360*x + 457*x**2 - 84*x**3 + 2592.
4*(x - 6)**3*(x - 3)
Let y be ((-468)/65)/(-12) - 278/(-70). Let 128/7 + 2/7*i**2 - y*i = 0. Calculate i.
8
Let v(i) be the first derivative of i**6/39 + 2*i**5/13 - 9*i**4/26 - 34*i**3/39 + 8*i**2/13 + 24*i/13 + 2641. Find y, given that v(y) = 0.
-6, -1, 1, 2
Let u(i) = 3*i**3 - 730*i**2 + 4309*i - 6384. Let w(n) = 80*n**3 - 19705*n**2 + 116345*n - 172365. Let b(x) = 55*u(x) - 2*w(x). Find k such that b(k) = 0.
3, 142
Let j(b) = -b**3 + 6*b**2 - b + 6. Let i be j(6). Suppose m + i*m = 2. Factor 6*p**4 - 15*p**m + 10*p**3 - 3*p**4 + 2*p**3 + 0*p**3.
3*p**2*(p - 1)*(p + 5)
Let g(p) be the third derivative of 4/15*p**3 - 2*p**2 + 0*p - 139 - 49/30*p**4 + 8/25*p**5. Determine i so that g(i) = 0.
1/24, 2
Let y(j) be the first derivative of j**4 - 24*j**3 + 34*j**2 - 405. Factor y(d).
4*d*(d - 17)*(d - 1)
Let w = -91 - -106. Suppose 59*k = 64*k - w. Find g, given that 2*g**5 + g**4 - 75*g + 73*g - 5*g**2 - 3*g**k - g**5 = 0.
-1, 0, 2
Let h(g) = -3*g**2 - 27490*g + 37812494. Let d(u) = -10*u**2 - 54975*u + 75624985. Let i(a) = 2*d(a) - 5*h(a). Factor i(q).
-5*(q - 2750)**2
Let i = 73/8 - 29/4. Let v = 14335/2876 + 191/719. Find h, given that 21/8*h**2 - v*h + i + 3/4*h**3 = 0.
-5, 1/2, 1
Let n be (3 - (-5 - -8) - -2)*11. Suppose n*h + 12 = 28*h. Let -54/7*g**h + 0 - 3/7*g**3 - 243/7*g = 0. Calculate g.
-9, 0
Let r be 2/(-11) - 140/(-44). Suppose 2*q - 4*q = -8, 2