 3/4*w**5 - 9/4*w**k - 3/4*w**3 = 0. Calculate w.
-2, -1, 0, 1
Let u(f) = -f**2 + 1. Let s = 4 - 2. Let y(t) = -5*t**3 + 8*t - 3. Suppose 12*m - 92 = 59 + 17. Let k(b) = m*u(b) + s*y(b). Find g such that k(g) = 0.
-2, -2/5, 1
Let y be 10/(-2)*1 - (12 + -28). Suppose 5*i - y = 4*m, 28 - 29 = -m. Factor -6*x**2 - 15/4*x**3 - 3/4*x**4 + 0 - i*x.
-3*x*(x + 1)*(x + 2)**2/4
Let b(f) = 3*f - 101. Let k be (-9)/(-6)*(-2100)/(-90). Let m be b(k). Suppose -1/8*s**m - 3/2*s + 1/2*s**3 - 9/8 + 1/4*s**2 = 0. Calculate s.
-1, 3
Let z(n) be the first derivative of -2*n**4 - 43 + 1/20*n**5 + 0*n + 32*n**3 + 7/2*n**2. Let v(k) be the second derivative of z(k). Factor v(d).
3*(d - 8)**2
Let r(l) be the second derivative of -l**4/84 - 109*l**3/21 - 31*l**2/2 - 359*l. Factor r(s).
-(s + 1)*(s + 217)/7
Suppose 17 = 23*g - 52. Factor -9*v**g + 7*v**2 + v**4 - 16*v**3 - 6*v**3 + 23*v**3.
v**2*(v - 7)*(v - 1)
Let d(p) be the first derivative of 1/6*p**4 - 28/3*p**2 + 8/3*p**3 - 2/15*p**5 - 115 + 32/3*p. Solve d(j) = 0 for j.
-4, 1, 2
Let n(x) be the first derivative of 2/35*x**5 + 0*x**2 + 0*x - 1/7*x**4 + 2/21*x**3 - 209. Let n(u) = 0. What is u?
0, 1
Let g = -21 - -24. Suppose 2*z + 19 = 7*z - 4*i, -g*z - 2*i = -29. Factor 4 - 5*p**2 + p**3 - 6 - 1 + z*p.
(p - 3)*(p - 1)**2
Let r = -60/97 - -337/388. Factor -7/4*m**2 + r*m**4 - 1/4*m**3 - 3/2 + 13/4*m.
(m - 2)*(m - 1)**2*(m + 3)/4
Let m(o) be the second derivative of o**6/270 + 11*o**5/15 + 65*o**4/18 + 155*o**3/6 - 18*o + 8. Let i(p) be the second derivative of m(p). Factor i(z).
4*(z + 1)*(z + 65)/3
Factor 44*n**2 + 24*n + 269868*n**4 - 269864*n**4 + 20*n**3 + 4*n**3.
4*n*(n + 1)*(n + 2)*(n + 3)
Let k(a) = 29*a**4 - 997*a**2 + 1920*a - 945. Let w(x) = 20*x**4 - 665*x**2 + 1280*x - 630. Let t(i) = -5*k(i) + 7*w(i). Factor t(d).
-5*(d - 7)*(d - 1)**2*(d + 9)
Let q be (3783/(-130) + 29)*(0 - 7) - 6/12. Factor -2/5*k - q*k**3 + 8/5 - k**2.
-(k - 1)*(k + 2)*(k + 4)/5
Suppose -2*u = -p - 7, 0 = u - 0*p - 5*p - 8. Find h such that -2*h**5 - 15756*h**4 - 2*h**u + 2*h**3 + 15774*h**4 = 0.
0, 9
Determine s, given that -324*s**3 - 425*s**4 + 2582*s - 8639*s - 26*s**5 - 2403*s + 7495*s**2 - 4*s**5 - 1620 - 136*s**3 = 0.
-9, -1/6, 2
Let n be 4/14*140/8. Let l(w) be the third derivative of w**2 + 0 + 0*w + 0*w**n + 0*w**3 + 1/720*w**6 + 0*w**4 + 1/2016*w**8 + 1/630*w**7. Solve l(v) = 0.
-1, 0
Let b(y) = y**3 + 7*y**2 - 2*y + 52. Suppose -5*w - 32 = -2*m - 0*m, -w - 16 = 2*m. Let c be b(w). Factor -2/3*v**3 - 2/3*v + 8/3*v**2 - c.
-2*(v - 3)*(v - 2)*(v + 1)/3
Suppose 52 = w + 50. Let s(r) = -9*r**3 + 62*r**2 - 5*r + 87. Let x be s(7). Let 2/3*c**x + 0 - 8/3*c + 2*c**w = 0. Calculate c.
-4, 0, 1
Let j be (6/4)/((-6)/(-1356)). Factor j*k**5 + 4 + 9*k - 8*k**3 - 6*k**4 - 340*k**5 - 3*k**2 + 5*k**2.
-(k - 1)*(k + 1)**3*(k + 4)
Let l(m) be the first derivative of 8 - 5*m + 0*m**2 + 5/4*m**4 + 5/3*m**3. Let o(x) be the first derivative of l(x). Let o(c) = 0. What is c?
-2/3, 0
Let z(d) be the first derivative of -8/7*d + 5/7*d**2 + 255 - 2/21*d**3. Find b such that z(b) = 0.
1, 4
Let p(u) be the second derivative of 11 + 0*u**2 - 98/15*u**3 + 32/75*u**6 + u - 2/105*u**7 + 112/15*u**4 - 78/25*u**5. Factor p(q).
-4*q*(q - 7)**2*(q - 1)**2/5
Suppose -24*p + 4*p + 4600 = 0. Let l be (1 + 34/(-15))/(p/(-345)). Find m such that 33/10*m**3 - 14/5*m - l*m**2 + 7/10*m**4 - 1/2*m**5 + 6/5 = 0.
-2, -1, 2/5, 1, 3
Let o(n) be the second derivative of 0 - 1/126*n**7 + 80*n - 1/90*n**6 - 11/36*n**4 + 2/9*n**3 + 3/20*n**5 + 0*n**2. Factor o(s).
-s*(s - 1)**3*(s + 4)/3
Solve 6571200 - 3294480*x - 3/2*x**3 + 4443*x**2 = 0.
2, 1480
Let c(o) = -5*o**4 + 8*o**3 - 36*o**2 + 135. Let y(x) = 6*x**4 - 9*x**3 + 38*x**2 - 3*x - 135. Let r(w) = -7*c(w) - 6*y(w). Factor r(h).
-(h - 3)**2*(h + 3)*(h + 5)
Let x(a) be the first derivative of a**4/132 + a**3/11 + 4*a**2/11 - 57*a - 100. Let m(l) be the first derivative of x(l). What is r in m(r) = 0?
-4, -2
Let f(z) be the second derivative of z**7/7140 + z**6/3060 + 8*z**3 + 45*z + 2. Let q(i) be the second derivative of f(i). Factor q(h).
2*h**2*(h + 1)/17
Let d(c) be the first derivative of c**6/120 + c**5/80 - c**4/48 - c**3/24 + 23*c - 25. Let f(h) be the first derivative of d(h). Let f(a) = 0. Calculate a.
-1, 0, 1
Suppose 0 = -17*u - 15753 + 15787. Let p(m) be the first derivative of 0*m**4 + 8/13*m**u + 2/65*m**5 - 6/13*m - 4/13*m**3 - 2. Factor p(l).
2*(l - 1)**3*(l + 3)/13
Let b(u) be the third derivative of -u**8/1008 + u**7/9 + 205*u**6/72 + 439*u**5/18 + 1895*u**4/18 + 2324*u**3/9 + 6393*u**2. Factor b(x).
-(x - 83)*(x + 2)**3*(x + 7)/3
Let w(j) be the first derivative of -j**3 + 7*j**2/3 - 765. Factor w(i).
-i*(9*i - 14)/3
Let c(m) be the first derivative of 2*m**5/35 - 13*m**4/14 - 80*m**3/21 + 100*m**2 - 5304. Factor c(x).
2*x*(x - 10)**2*(x + 7)/7
Solve -157*j - 3*j**2 + 3*j + 39*j - 12*j + 52*j - 378 = 0.
-18, -7
Let w(m) be the third derivative of -4*m - 1/120*m**5 + 0*m**3 - 29*m**2 + 0 - 1/48*m**4. Find t such that w(t) = 0.
-1, 0
Suppose -5047*v**2 + 2522*v**2 - 1224 - 104*v + 2523*v**2 = 0. Calculate v.
-34, -18
Let d be 0 + 0 - (-7 + 5 + 0). Find y such that y**d - 6*y**2 + 50*y - 14*y + 35 - 6*y = 0.
-1, 7
Factor 2*n**2 - 151592 + 283*n - 430*n + 440392 - 1373*n + 0*n**2.
2*(n - 380)**2
Let p = -7773/4 - -1944. Let m(s) be the first derivative of -13 - 9/4*s**3 + 0*s + p*s**2. Factor m(d).
-3*d*(9*d - 2)/4
Let i = -2/2037 - -55039/40740. Let l = 249/140 - i. Factor 0 - l*h**2 - 6/7*h.
-3*h*(h + 2)/7
Determine h, given that 320*h + 4729 + 4812 - 9349 + 48*h**3 + 192*h**2 + 4*h**4 = 0.
-6, -2
Suppose -4*b + 5*q = 259, 5*b + 370 = -5*q + 2*q. Let p = -70 - b. Find i, given that -15*i - 19*i - 6*i**2 - 3*i**4 - 8*i**3 + 34*i + p = 0.
-1, 1/3
Solve -207*k**4 - 21 - 163 - 429*k - 75 + 429*k**3 + 435*k**2 + 204*k**4 - 173 = 0.
-1, 1, 144
Let m = -12602 - -12607. Let r(s) be the second derivative of -1/4*s**4 + 1/30*s**6 + 0*s**m - 1/3*s**3 + 0*s**2 + 0 + 19*s. Solve r(q) = 0 for q.
-1, 0, 2
Let d(v) be the first derivative of 26/3*v**4 + 1200*v + 4/15*v**5 - 11 - 520*v**2 + 436/9*v**3. Factor d(i).
4*(i - 2)**2*(i + 15)**2/3
Let f(t) = 4*t - 34*t - 5*t - 85. Let c(w) = w**2 + 36*w + 84. Let v = -71 + 76. Let z(x) = v*c(x) + 4*f(x). Factor z(o).
5*(o + 4)**2
Let k(q) = 13*q - 99. Let h be k(8). Suppose 0 = w + h*s - 7, 0 = 4*s - 2*s - 2. Factor 3072/7 + 144/7*z**w + 1152/7*z + 6/7*z**3.
6*(z + 8)**3/7
Let d(b) be the first derivative of b**4/20 - b**3/15 - b**2/2 - 3*b/5 + 236. Solve d(o) = 0 for o.
-1, 3
Suppose -2*v + 4 = -5219*j + 5223*j, -j - 2*v - 5 = 0. Suppose -2/17*k**j + 0 + 2/17*k + 0*k**2 = 0. What is k?
-1, 0, 1
Suppose 71 = -2*v - n, -3*v - 100 = 7*n - 12*n. Let u be ((-9)/(-7))/(120/v + 4). Factor -57/8*l + 63/8*l**2 + u + 3/8*l**4 - 27/8*l**3.
3*(l - 6)*(l - 1)**3/8
Factor -580/9*s - 42050/9 - 2/9*s**2.
-2*(s + 145)**2/9
Let c = -138 + 135. Let i(j) = 7*j**5 - 6*j**4 + 3*j**2 + 3*j. Let a(b) = 20*b**5 - 16*b**4 + 8*b**2 + 8*b. Let k(w) = c*a(w) + 8*i(w). Let k(r) = 0. What is r?
0
Let s(x) be the first derivative of -x**3/4 + 21*x**2/4 + 621*x/4 - 6847. Solve s(b) = 0 for b.
-9, 23
Let s(k) be the first derivative of 28/3*k**3 + 20 - 5*k**4 - 6*k**2 + 4/5*k**5 + 0*k. Determine a so that s(a) = 0.
0, 1, 3
Let q(g) be the first derivative of 12*g**4/5 + 2*g**3/3 - 665. Find b such that q(b) = 0.
-5/24, 0
Find k, given that -1303*k**2 + 1909*k**2 - 5460*k - 4*k**3 + 596*k**2 + 36254 - 33526 + 1534*k**2 = 0.
1, 682
Let d be (-5 + (-1)/(-1))/((-446)/669). Let p(y) = -y**2 - 5*y - 24. Let v(k) = 32 + 1 - 8 + 5*k. Let u(h) = d*v(h) + 5*p(h). Factor u(s).
-5*(s - 3)*(s + 2)
Suppose -2*g - 6 = -2*m, -2*g = -4*m - 5*g + 19. Suppose -m*p = 5*n - 22, -n + 4*p = -2*n + 14. Factor -2/7*u**n - 2/7*u + 2/7*u**4 + 0 + 2/7*u**3.
2*u*(u - 1)*(u + 1)**2/7
Suppose 0 = -50*w + 49*w - 238*w + 717. Suppose 0 + 0*z**2 + 1/2*z**w + 1/4*z**4 + 0*z = 0. What is z?
-2, 0
Let k(z) = 3*z**4 + 8*z**3 - 211*z**2 - 653*z - 442. Let j(p) = 4*p**4 + 12*p**3 - 316*p**2 - 980*p - 664. Let r(m) = -5*j(m) + 8*k(m). Factor r(q).
4*(q - 6)*(q + 1)*(q + 3)**2
Suppose -3*x = -5*m + 25, -3*m + 43*x = 44*x - 1. Let s(y) be the second derivative of 1/66*y**4 + 0 - 16*y + 0*y**m + 0*y**3. Determine z, given that s(z) = 0.
0
Le