 15)*(-80)/42. Determine w so that 64/7*w - 64/7 + 2/7*w**3 - q*w**2 = 0.
2, 4
Let y(u) be the first derivative of -14/9*u**3 - 127 - 10/3*u + 12*u**2. Find m such that y(m) = 0.
1/7, 5
Let t be ((-2)/21*3)/(39/21 - 4). Let d(y) be the third derivative of 16/15*y**3 + 47*y**2 + 0 + 1/300*y**6 + 0*y + t*y**4 - 7/150*y**5. Factor d(w).
2*(w - 4)**2*(w + 1)/5
Let p = 71/16 + -51/16. Let m(z) be the second derivative of 5*z - 3/5*z**5 - p*z**4 + 0 + 0*z**2 - 1/10*z**6 - z**3. Suppose m(w) = 0. Calculate w.
-2, -1, 0
Solve 38*w**2 + 23 + 27*w**4 - 4801*w + 49*w**2 + 4894*w + 98*w**3 + 55*w**2 + w**5 = 0 for w.
-23, -1
Let m(z) be the third derivative of -z**5/180 + 7*z**4/18 - 80*z**3/9 - 3712*z**2. Factor m(y).
-(y - 20)*(y - 8)/3
Find p, given that -2/9*p**3 - 80/9 + 2/9*p**2 + 44/9*p = 0.
-5, 2, 4
Let l be 0/(149 + -154 + 3 + 0). Suppose 1/2*k**3 + 35/4*k**5 + l + 0*k + 0*k**2 + 19/4*k**4 = 0. Calculate k.
-2/5, -1/7, 0
Let h(l) = -242*l - 1691. Let t be h(-7). Let b(z) be the second derivative of 0*z**2 + 25*z + 0 + 1/15*z**6 + 0*z**5 - 1/6*z**4 + 0*z**t. Factor b(w).
2*w**2*(w - 1)*(w + 1)
Let f(p) = 2*p - 15. Suppose -5*j + 5*b + 50 = 0, -5*j + 2*b - 3*b = -44. Let g be f(j). Solve 21*c**3 + c**2 - 4 - 22 - g*c**5 - 36*c + 2 + 5*c**2 = 0.
-2, -1, 2
Let u(y) be the second derivative of -2*y**7/21 - 6*y**6 - 561*y**5/5 + 289*y**4/3 + 19652*y**3 + 453*y. Factor u(c).
-4*c*(c - 6)*(c + 17)**3
Let i(b) be the third derivative of 0 + 1/180*b**6 + 1/45*b**5 + 54*b**2 + 0*b - 2/9*b**3 - 1/36*b**4. Factor i(d).
2*(d - 1)*(d + 1)*(d + 2)/3
Let c(o) be the first derivative of 5/18*o**6 - 3 - 8/9*o**3 - 8/9*o**4 + 0*o - 15/2*o**2 - 1/9*o**5. Let f(b) be the second derivative of c(b). Factor f(u).
4*(u - 1)*(5*u + 2)**2/3
Let t(h) be the first derivative of 5*h**4/8 + 515*h**3/6 - 535*h**2 - 9789. Factor t(c).
5*c*(c - 4)*(c + 107)/2
Suppose -151*q + 143*q = -16. Let i = 26/49 + -200/931. Factor i - 26/19*g + 8/19*g**q.
2*(g - 3)*(4*g - 1)/19
Let n(l) be the first derivative of -14/17*l + 42 - 8/17*l**2 - 2/51*l**3. Suppose n(y) = 0. Calculate y.
-7, -1
Suppose 6*q = 4*q - 3*q. Let t(p) be the second derivative of -1/6*p**4 + q*p**2 + 0 + 17*p + 0*p**3. Factor t(c).
-2*c**2
Let u(a) = 4*a**2 + 9*a + 20. Let d be u(-2). Determine f so that 35*f**2 + 19*f**4 + d*f + 51*f**3 + 2*f**4 + 9*f**2 + 3*f**5 + 7*f**2 = 0.
-3, -2, -1, 0
Let -9/2*a**2 - 81/2*a**3 - 81 + 249/2*a + 3/2*a**4 = 0. What is a?
-2, 1, 27
Let b = -347446/7 + 49639. Determine p, given that 3*p**3 + 0 - b*p**2 + 6/7*p = 0.
0, 2/7, 1
Let s(r) be the first derivative of -r**5/30 - 7*r**4/60 - 2*r**3/15 - 141*r**2/2 + 63. Let x(i) be the second derivative of s(i). Factor x(n).
-2*(n + 1)*(5*n + 2)/5
Let l = 6 - 3. Suppose -5*h + 1022 = 17*v, -h + 196 = -40*v + 42*v. Factor -324/5*f + 54/5 + 544/5*f**4 - h*f**l + 774/5*f**2 - 128/5*f**5.
-2*(f - 1)**2*(4*f - 3)**3/5
Let m be (-42)/15*10/4. Let x(r) = -4*r**2 - 3*r + 1. Let f(u) = -5*u**2 - 3*u + 1. Let z(o) = m*x(o) + 6*f(o). Determine c so that z(c) = 0.
1/2, 1
Let w = 105 + -204. Let b = w + 223. Determine t, given that t**4 - 122*t**3 + b*t**3 + t**4 = 0.
-1, 0
Factor 7*r**3 + 228*r + 3*r**2 + 1586 - 36*r**3 - 1658 - 3*r**4 + 7*r**2 - 36*r**2.
-(r - 2)*(r + 6)**2*(3*r - 1)
Let i = 725 + -641. Factor i*y + 4*y**3 + 2*y**3 + 26 - 56*y**2 + 118 - 2*y**3.
4*(y - 12)*(y - 3)*(y + 1)
Suppose -138*w + 6*w = 104*w - 944. Let g(q) be the third derivative of 0 + 3/14*q**3 - 10*q**2 - 1/28*q**w + 0*q - 1/140*q**5. Solve g(d) = 0 for d.
-3, 1
Let j be (4 + 468/(-108))/(4/(-54)). Let h = 2/11 - -3/44. Factor -h*l**4 - 2*l**3 + 0*l - j*l**2 + 27/4.
-(l - 1)*(l + 3)**3/4
Let a(l) = -l**3 + 5*l - 14. Let b be a(-26). Factor -b - 3840*s + 2*s**3 - 3048 - 240*s**2 - 3*s**3 - 4*s**3.
-5*(s + 16)**3
Let h(n) be the second derivative of -4*n**2 - 2*n + 8*n**3 - 7 - 11/6*n**4. Determine a, given that h(a) = 0.
2/11, 2
Suppose 38*r - 39*r - u = -4, -4 = -r + 3*u. Let j(t) be the second derivative of 1/54*t**r - 11*t + 0 - 7/27*t**3 - 8/9*t**2. Let j(d) = 0. What is d?
-1, 8
Suppose 50*h - 258 = -4*l, 66*l = 63*l - 4*h + 26. Let v(p) be the first derivative of 17 + 8/3*p**3 - 1/2*p**4 + 4*p - 5*p**l. Let v(m) = 0. Calculate m.
1, 2
Let b(q) be the second derivative of 3*q**5/50 + 53*q**4/30 + 376*q**3/45 + 16*q**2 - 2459*q - 1. Let b(u) = 0. What is u?
-15, -4/3
Let g be 0 + -105*(-4)/6. Let j = g - 68. Factor 77*l**3 + 4*l**5 + 15*l - 10*l**j - 97*l**3 + 10*l**4 + l**5.
5*l*(l - 1)**2*(l + 1)*(l + 3)
Find u such that 10*u**3 - 52*u**2 - 1/3*u**4 - 1054/3*u - 289 = 0.
-3, -1, 17
Let c = 261/170 - 1147/1190. Factor -c*d**3 + 0 + 0*d**2 + 0*d.
-4*d**3/7
Let v(f) be the first derivative of -f**4/10 + 7*f**2/5 - 12*f/5 + 1520. Determine g, given that v(g) = 0.
-3, 1, 2
Let h = 2218 + -2218. Let p(i) be the third derivative of -1/10*i**5 + 3*i**2 - 1/180*i**6 - 2/3*i**4 + h*i + 0 - 16/9*i**3. Suppose p(j) = 0. What is j?
-4, -1
Suppose -32*o = -29*o. Factor 586*k**2 - 606*k**2 - 4*k**3 - 16 + 2*k**3 + o*k**3 - 34*k.
-2*(k + 1)**2*(k + 8)
Suppose 9936/11*o + 2022/11*o**2 - 136/11*o**3 + 7776/11 + 2/11*o**4 = 0. Calculate o.
-3, -1, 36
Let m = 30919 + -30915. Let 1/4*y**2 + 0 - 1/4*y**m - 3/4*y + 3/4*y**3 = 0. Calculate y.
-1, 0, 1, 3
Suppose 11 = -2*k - 17. Let m(l) = l**3 + 12*l**2 - 29*l - 6. Let t be m(k). Factor t*f**3 - 5 + 120*f**2 - 44*f**3 + 5 + 92*f + 16.
-4*(f - 4)*(3*f + 1)**2
Let y be 3 + (-8)/14*5. Suppose 0 = 5*k + f - 12, -4*k + 2 = 5*f + 26. Factor 0*i**2 - 4/7*i**k + 0 + y*i**5 + 0*i + 4/7*i**3.
i**3*(i - 2)**2/7
Let t(q) be the first derivative of -23/2*q**4 + 22/5*q**5 + 4*q - 37 - 2/3*q**6 - 11*q**2 + 46/3*q**3. Suppose t(n) = 0. What is n?
1/2, 1, 2
Let o(t) be the third derivative of -t**7/1260 + 79*t**6/72 - 52271*t**5/120 + 77815*t**4/36 - 38809*t**3/9 - 97*t**2 - 7*t. Factor o(p).
-(p - 394)**2*(p - 1)**2/6
Let i(d) be the third derivative of -5*d**8/336 + 17*d**7/42 - 19*d**6/6 - d**5/3 + 200*d**4/3 - 640*d**3/3 - 11*d**2 - 1. Determine z so that i(z) = 0.
-2, 1, 2, 8
Let l(x) be the first derivative of 0*x - 5/2*x**4 + 0*x**5 - 33 + 5/2*x**2 + 5/6*x**6 + 0*x**3. Solve l(y) = 0 for y.
-1, 0, 1
Let f(t) = -13*t**3 + 15*t**2 - 5*t + 9. Let o(p) = -24*p**3 + 29*p**2 - 9*p + 15. Let j(b) = -11*f(b) + 6*o(b). Let j(g) = 0. What is g?
-1, 1, 9
Suppose -15 = -43*z + 46*z. Let k be 34 - (-3 - z) - 4. Let -k*m**4 - 80*m + 12*m**3 + 6 + 124*m**2 + 21*m**5 - m**5 + 10 - 64*m**3 = 0. What is m?
-2, 2/5, 1
Suppose 3*c + 7 = -0*a - 2*a, 2*a - 5*c = 33. Find h, given that 4*h**a - 8*h - 3 + 1487*h**3 - 1479*h**3 - 1 = 0.
-1, 1
Let z(w) be the second derivative of 2/21*w**7 - 8 + 7*w - 3/20*w**6 - 1/12*w**3 + 0*w**2 + 3/8*w**4 - 7/40*w**5. Solve z(j) = 0 for j.
-1, 0, 1/8, 1
Let 0*u - 74/13*u**2 + 0 + 72/13*u**3 + 2/13*u**4 = 0. Calculate u.
-37, 0, 1
Let t be 240/140 + 2/7. Solve 1875 + 12*g + 70*g - 23*g**t + 26*g**2 + 63*g + 5*g = 0.
-25
Let u(j) = 19*j + 78. Let l be u(-4). Let r be l/(-3) + (-320)/(-120). Solve 0 + 0*i**4 + 1/5*i**5 + 1/5*i + 0*i**r - 2/5*i**3 = 0 for i.
-1, 0, 1
Let k = -14893/3 - -119153/24. Solve 3/4*l**2 - k*l - 3/8*l**5 + 3/4*l**3 - 3/8*l**4 - 3/8 = 0 for l.
-1, 1
Factor 162/7*y**2 + 46/7*y**3 + 58/7 - 4/7*y**4 + 170/7*y.
-2*(y + 1)**3*(2*y - 29)/7
Let l(c) be the second derivative of -640*c**7/21 - 9344*c**6/3 - 13656*c**5 - 25380*c**4 - 50535*c**3/2 - 14175*c**2 + 3154*c. Factor l(z).
-5*(z + 70)*(4*z + 3)**4
Let c(f) = -9*f**2 - 4*f + 1. Let g(x) = 0*x**2 - 6*x**2 + 3*x - x**2 + 14*x**2 - 1. Let d(y) = -3*c(y) - 4*g(y). Factor d(h).
-(h - 1)*(h + 1)
Let p(j) be the third derivative of j**7/350 + 7*j**6/200 - 7*j**5/25 + j**4/2 - 35*j**2 + 10. Factor p(v).
3*v*(v - 2)*(v - 1)*(v + 10)/5
Let p(x) = -2*x**2 + 6*x - 22. Let h(a) = -3*a**2 + 6*a - 16. Let f(c) = 3*h(c) - 4*p(c). What is u in f(u) = 0?
-10, 4
Let f(d) = -368*d + 3. Let c be f(0). Let g(i) be the second derivative of -30*i - 1/4*i**4 + 0 + 19/12*i**c - 3/4*i**2. Solve g(x) = 0.
1/6, 3
Let r = 64365/4 + -16089. Let b(s) be the second derivative of -2*s**3 - 21*s - r*s**2 - 2/3*s**4 + 0. Factor b(t).
-(4*t + 3)**2/2
Suppose 8*l - 174 = 410. Let b = l - 55. Find u such that 5*u**2 - 5*u + 6 - b - 18 = 0.
-2, 3
Suppose -5*b = -12*b. Suppose b = 4*x - 12*x + 32. Factor 57*f 