0 - 4/3*s**4 = 0 for s.
-3, 0, 1, 2
Suppose r = 4*u - 8, -12*r + 20 = 4*u - 10*r. Suppose -k**4 + 304*k - 131*k**2 - 192 + 21*k**3 + 9*k**u - 10*k**3 = 0. Calculate k.
1, 3, 8
Let j = 1633/100 - 10931/700. Suppose -2/7*s**3 + j*s + 1/7 + 6/7*s**2 - s**4 - 3/7*s**5 = 0. Calculate s.
-1, -1/3, 1
Let a(v) = -v**3 - v. Let b be (-240)/32*(-4)/5. Let i(x) = -4*x + b*x**3 - 2*x**4 - x - 2*x**3 + 7*x. Let n(d) = 2*a(d) + i(d). Factor n(k).
-2*k**3*(k - 1)
Let h = -104 + 113. Let -h*v**4 + 7*v**4 - 4*v**3 - 14*v**2 + 6*v + 11*v**3 + 3*v**3 = 0. What is v?
0, 1, 3
Let v(f) be the second derivative of -f**6/10 - 27*f**5/20 + 7*f**4/2 + 18*f**3 - 60*f**2 - 436*f. Solve v(q) = 0 for q.
-10, -2, 1, 2
Factor -2*i**3 - 279241*i - 380 + 279243*i + 408*i**2 - 28*i**2.
-2*(i - 190)*(i - 1)*(i + 1)
Let h(n) be the third derivative of n**5/40 - 130*n**4 + 270400*n**3 + 2749*n**2. Factor h(p).
3*(p - 1040)**2/2
Let u(z) be the second derivative of -1/20*z**5 + 0 - z**3 - 5/12*z**4 + 0*z**2 - 48*z. Let u(h) = 0. What is h?
-3, -2, 0
Let y(i) be the second derivative of 0 - 5/21*i**3 + 51*i + 1/21*i**4 + 1/14*i**5 - 2/7*i**2. Factor y(p).
2*(p - 1)*(p + 1)*(5*p + 2)/7
Let f(r) be the third derivative of r**6/660 - 167*r**5/165 - r**4/132 + 334*r**3/33 - 22*r**2 - 4*r. Factor f(s).
2*(s - 334)*(s - 1)*(s + 1)/11
Find p such that 8/7*p**3 - 2*p**2 - 16*p - 90/7 = 0.
-9/4, -1, 5
Suppose 7*j - 2*j - 100 = 0. Let 0*l**3 - 54*l - 36*l**2 - j*l**2 - 2*l**3 + 0 + 0 = 0. What is l?
-27, -1, 0
Let g(w) be the first derivative of -1/10*w**2 - 92 + 0*w - 1/15*w**3. Factor g(y).
-y*(y + 1)/5
Let j(b) = -7*b**2 - b - 2. Let u(n) = -6*n**2. Suppose -168 + 172 = -k. Let x(i) = k*u(i) + 3*j(i). Find y such that x(y) = 0.
-1, 2
Let m be (2 + 0/(-1))/((15/4)/5). Let d(q) be the second derivative of -29*q + 0 - 1/3*q**4 + 4/5*q**5 - m*q**3 + 2*q**2. Let d(f) = 0. What is f?
-1, 1/4, 1
Find l, given that -20*l + 0 - 21/2*l**2 + 21/2*l**4 + 1/4*l**5 + 79/4*l**3 = 0.
-40, -2, -1, 0, 1
Let u(a) be the second derivative of 63*a - 2/15*a**3 + 1/25*a**5 + 6/5*a**2 + 0 - 1/5*a**4. Factor u(w).
4*(w - 3)*(w - 1)*(w + 1)/5
Let x = -7219 + 7219. Factor 3/2*i + x + 3/2*i**2.
3*i*(i + 1)/2
Let p(z) be the third derivative of -z**7/210 - 2*z**6/15 + 13*z**5/20 + 9*z**4/4 - 326*z**2 - 4*z. Factor p(y).
-y*(y - 3)*(y + 1)*(y + 18)
Suppose 2*h = 5*y - 46, 18*h - 17*h + 3*y = 32. Solve -8/19*x + 10/19*x**4 + 24/19*x**3 + 12/19*x**h - 6/19 = 0.
-1, 3/5
Let c(a) be the first derivative of -a**8/11760 - a**7/1960 + a**5/210 - 31*a**3/3 - 4*a + 49. Let r(u) be the third derivative of c(u). Factor r(v).
-v*(v - 1)*(v + 2)**2/7
Let t(b) = b**2 - 6*b - 12. Let u be t(-2). Factor 12*l**3 + 3*l**5 - 3335*l**u + 1664*l**4 + 1659*l**4.
3*l**3*(l - 2)**2
Let h(m) = -5*m**4 - 48*m**3 - 75*m**2 + 122*m + 3. Let f be 14/(-4) + 4 + (-2)/(-4). Let a(n) = -n**3 - n + 1. Let t(s) = f*h(s) - 3*a(s). Factor t(y).
-5*y*(y - 1)*(y + 5)**2
Let u(p) = -77*p**2 - 57133*p - 16313. Let c(y) = 116*y**2 + 85699*y + 24469. Let s(v) = -7*c(v) - 11*u(v). Determine n so that s(n) = 0.
-816, -2/7
Suppose -3*w = 2*w - 4*v - 15, 0 = -4*w + 5*v + 12. Let f be 428/1391 + -14 + 14. Determine o so that f*o - 6/13*o**2 + 2/13*o**w + 0 = 0.
0, 1, 2
Let w(x) = -2*x**3 - 22*x**2 - 18*x - 196. Let d be w(-11). Let o(u) be the first derivative of -18 + 0*u + 5/3*u**3 + 5/2*u**d. Factor o(n).
5*n*(n + 1)
Let 338/5*w + 76/5 + 128/5*w**3 - 8/5*w**4 + 438/5*w**2 = 0. What is w?
-2, -1/2, 19
Let n(t) be the second derivative of 6*t**3 - 159 - 45*t**2 - 1/6*t**4 + 2*t. Factor n(b).
-2*(b - 15)*(b - 3)
Suppose 0 = 3*x - 2*x. Suppose -r + 1 + 3 = x. Factor 10*m - 46*m - 21*m**2 + 7 + 1 + r.
-3*(m + 2)*(7*m - 2)
Let -775*v**2 - 715*v**2 + 2108*v + 430*v**2 - 1052 - 1135*v**3 + 1139*v**3 = 0. What is v?
1, 263
Let 2/11*b**2 - 186/11*b + 184/11 = 0. What is b?
1, 92
Determine b, given that -46033 + 405*b - 15*b**2 + 5*b + 43313 = 0.
34/3, 16
Factor 0*u**3 - 13*u**4 - 2*u**2 + 16*u**3 + 3*u**2 + 7*u**2 + 2*u**5 + 23*u**4.
2*u**2*(u + 1)*(u + 2)**2
Let a(b) be the first derivative of b**6/30 + b**5/25 - 7*b**4/20 - 13*b**3/15 - 3*b**2/5 + 1197. Factor a(m).
m*(m - 3)*(m + 1)**2*(m + 2)/5
Suppose 44 = 2*u + 4*r, -3*r - 71 = 4*u - 9*u. Factor 12*y - 38*y - 256 - 22*y - 16*y + 4*y**3 + u*y**2.
4*(y - 4)*(y + 4)**2
Suppose -206*r + 12121 = -183*r. Let v = r + -1579/3. Factor -1/3*x**3 - v + x**2 + 1/3*x - 1/3*x**4.
-(x - 1)**2*(x + 1)*(x + 2)/3
Let 50*i**2 - 1195*i - 133*i**2 + 4860 + 31*i**2 + 47*i**2 = 0. What is i?
-243, 4
Factor -1/4*x**2 + 0 + 179/2*x.
-x*(x - 358)/4
Let b(w) = w**2 - 11*w - 30. Let c be b(13). Let v be c + (-136)/(-16) - 3. Find m, given that 9/4*m**2 + 0*m - v*m**3 + 1/4*m**4 + 0 = 0.
0, 3
Let y(z) be the first derivative of 2*z**5/9 - 49*z**4/6 + 1316*z**3/27 - 80*z**2/3 - 2175. Let y(g) = 0. Calculate g.
0, 2/5, 5, 24
Let z(c) be the first derivative of -292 - 8/21*c**3 + 15/14*c**4 + 0*c**2 + 0*c. Factor z(g).
2*g**2*(15*g - 4)/7
Let l(y) = -7*y**3 + 31*y**2 + 123*y + 51. Let a(o) = o**3 + 2*o**2 - 2*o - 1. Let w(g) = -15*a(g) - 3*l(g). Factor w(b).
3*(b - 23)*(b + 2)*(2*b + 1)
Suppose -8*g + 3 = -21. Determine m so that 8*m**2 + 27*m**3 + m + 19*m**3 - 71*m**g + 41*m**3 = 0.
-1/4, 0
Suppose -3*v + 11 = -4*u + 2, 9 = 3*v - 3*u. Let r(k) be the second derivative of 0*k**2 + 0*k**v + 1/2*k**4 + 0 - 9*k - 3/20*k**5. Factor r(b).
-3*b**2*(b - 2)
Let i(u) = 1. Let x = -31 - -32. Let z(b) = -b**2 + b. Let m(q) = 30*q + 15. Let p(f) = -m(f) + 5*z(f). Let w(o) = x*p(o) - 5*i(o). Find k, given that w(k) = 0.
-4, -1
Let a(f) be the third derivative of f**8/4032 - f**7/336 + f**6/72 - f**5/60 + 22*f**3/3 + 115*f**2. Let v(x) be the third derivative of a(x). Factor v(u).
5*(u - 2)*(u - 1)
Let b(t) be the third derivative of 0 - 25/12*t**5 - 5*t**4 + 11/24*t**6 + 3/14*t**7 + 5/336*t**8 - 117*t**2 + 70/3*t**3 + 0*t. Let b(j) = 0. What is j?
-7, -2, 1
Let l(v) = -12*v**3 + 152*v**2 - 856*v - 1020. Let s(p) = -38*p**3 + 455*p**2 - 2566*p - 3059. Let g(b) = 13*l(b) - 4*s(b). Factor g(m).
-4*(m - 32)*(m - 8)*(m + 1)
Factor 172*n + 30*n**2 - 28*n**2 - 188*n - 306.
2*(n - 17)*(n + 9)
Let x(r) be the first derivative of 1/6*r**3 + 2*r**2 + 0*r + 58. Factor x(g).
g*(g + 8)/2
Suppose -2*f = 8, 0 = 3*n - f - 3*f - 22. Factor l**2 + 5 + 4*l**3 - l**4 + 0 - 4*l**n - 5.
-l**2*(l - 3)*(l - 1)
Suppose 38*h = -18*h + 36*h + 200. Determine t, given that -7/2 - h*t + 3/2*t**2 = 0.
-1/3, 7
Let j(q) = -3*q + 20. Let u be j(5). Suppose 5*y - 4 = -u*s + 1, 2 = -y. Factor 0*z**3 + s*z**3 + z**3 - 4*z.
4*z*(z - 1)*(z + 1)
Factor 3/7*m**3 + 0*m - 15/7*m**2 + 0.
3*m**2*(m - 5)/7
Suppose -50*j - 32 = -2*z - 46*j, -3*z = j - 27. Let m(i) be the first derivative of z*i + 5/3*i**3 - 22 - 15/2*i**2. Factor m(c).
5*(c - 2)*(c - 1)
Factor 80/21*c**2 + 22/21*c**3 + 0 + 2/21*c**4 + 32/7*c.
2*c*(c + 3)*(c + 4)**2/21
Let d(c) be the third derivative of -c**5/450 - 7*c**4/60 - 38*c**3/45 - 429*c**2 - 3. Solve d(j) = 0.
-19, -2
Let s(u) be the third derivative of 0 - 19*u**2 - 1/150*u**6 + 2/5*u**4 + 0*u + 8/75*u**5 - 2/525*u**7 + 0*u**3. Determine i, given that s(i) = 0.
-2, 0, 3
Let u(y) be the first derivative of 2*y**3/15 - 78*y**2/5 + 2242*y/5 - 8366. What is t in u(t) = 0?
19, 59
Let s(g) be the second derivative of 5/12*g**4 + 32*g + 1 - 10*g**2 + 0*g**3. Suppose s(h) = 0. Calculate h.
-2, 2
Let c(r) = 26*r - 130. Let g be c(5). Let x(k) be the second derivative of 12*k + 0*k**2 - 1/72*k**4 + g + 1/36*k**3. Let x(a) = 0. What is a?
0, 1
Suppose 21*n - 18980 = -5*n. Let f = n - 3586/5. Let -2/5 + 2*o - f*o**3 + 56/5*o**2 = 0. What is o?
-1/4, 1/8, 1
Let k be (-79)/(-50) - (4*2 - 19998/2525). Factor -k*f + 0 - 27/4*f**2.
-3*f*(9*f + 2)/4
Let q(g) be the first derivative of 13/8*g**2 - 1/12*g**3 - 179 - 3*g. Factor q(k).
-(k - 12)*(k - 1)/4
Let q(x) be the second derivative of 0 + x**3 - 15*x - 7/660*x**5 + 1/22*x**4 - 1/396*x**6 + 0*x**2. Let u(d) be the second derivative of q(d). Solve u(a) = 0.
-2, 3/5
Let j(s) be the second derivative of -11*s**6/180 + 167*s**5/120 - 79*s**4/18 + 13*s**3/9 - 76*s - 2. Suppose j(v) = 0. What is v?
0, 2/11, 2, 13
Let y(k) be the first derivative of -38 + 104/3*k**3 + 0*k + 26/15*k**5 + 24*k**2 + 1/18*k**6 + 193/12*k**4. Let y(i) = 0. Calculate i.
