+ 334*s + 101*s**2 - f*s**2 - 60 = 0. Calculate s.
-6, -2/3, 1
Suppose -5*g + 2*g = 5*s - 180, -3*s = 0. Let p be (1/4)/(5/g). Factor -15*x**2 + 2*x + x**2 + 5*x**3 + p*x + 24*x**2.
5*x*(x + 1)**2
Let p = -283 - -317. Solve -9 + 19 - 14*u + p - 11*u - 82*u**2 - 3*u**3 + 10 = 0 for u.
-27, -1, 2/3
Let w(j) be the third derivative of -j**5/60 - 7*j**4/4 + 92*j**3/3 - 364*j**2. Let n be w(-46). Determine y so that 2/5*y - 4/5*y**2 + n + 2/5*y**3 = 0.
0, 1
Let c(b) be the third derivative of b**7/1470 - 9*b**6/70 - 45*b**5/28 - 171*b**4/28 - 4*b**2 + 428. Factor c(f).
f*(f - 114)*(f + 3)**2/7
Let c be (36/270)/((-9)/(9675/(-10))). Let c*n**2 - 4/3*n**4 + 47/3*n + 4 - 8/3*n**3 = 0. Calculate n.
-4, -1/2, 3
Let a(m) be the third derivative of 4*m**2 + 24*m - 1/90*m**6 + 2/945*m**7 + 2/135*m**5 + 0 + 0*m**4 + 0*m**3. Factor a(o).
4*o**2*(o - 2)*(o - 1)/9
Let f(g) be the second derivative of 9*g**4/28 + 197*g**3/7 - 132*g**2/7 + 10859*g. Factor f(u).
3*(u + 44)*(9*u - 2)/7
Let w(k) be the second derivative of -k**4/2 - 1447*k**3/9 + 322*k**2/3 + 3093*k. Factor w(n).
-2*(n + 161)*(9*n - 2)/3
Let f(g) = -14*g**2 - 686*g + 3. Let c be f(-49). Let d(n) be the first derivative of -16/3*n + 2/9*n**3 + 7/3*n**2 - c. Factor d(b).
2*(b - 1)*(b + 8)/3
Let r(a) be the second derivative of -a**4/30 - 644*a**3/15 - 103684*a**2/5 - 244*a. Factor r(o).
-2*(o + 322)**2/5
Let t(k) be the second derivative of k**5/50 + 25*k**4/6 + 1281*k**3/5 - 3969*k**2/5 + 300*k + 1. Factor t(y).
2*(y - 1)*(y + 63)**2/5
Factor -17/2 + 117/4*j + 75/4*j**2 + j**3.
(j + 2)*(j + 17)*(4*j - 1)/4
Let y = 542 + -540. Find z such that 4*z**2 + 42*z - z**2 + 26 - 2*z**2 + 2*z**y + 94 = 0.
-10, -4
Suppose -9 = -4*t - 3*l - 7, 3*l = -3*t. Let r be (-7)/224*-16 + 41/6. Solve r*x**t + 32/9*x**4 + 112/9*x**3 - 56/9*x + 8/9 = 0.
-2, 1/4
Factor -198 + 270 - 7*z + 17*z + 9*z + 11*z - 3*z**2.
-3*(z - 12)*(z + 2)
Suppose 30 = 4*d + 22. Determine z so that z**2 - 3*z**d - 393*z + 377*z - 30 = 0.
-5, -3
Suppose 37 = -4*b + 45. Let j be (13 + -13)*2/b. Suppose 1/2*p**3 + 1/2*p**2 - p + j = 0. Calculate p.
-2, 0, 1
Let q = 868 + -865. What is m in 5*m**q + 423 + 432 - 855 + 75*m**2 = 0?
-15, 0
Solve 2*a**5 - 6225*a**4 + 3111*a**4 + 3068*a**4 - 306*a**2 + 222*a**3 = 0 for a.
0, 3, 17
Let f(w) be the first derivative of -2*w**3/9 - 30*w**2 - 1162*w/3 + 1502. Solve f(j) = 0.
-83, -7
Find y such that -y**2 + 0 + 6/5*y**3 - 1/5*y**4 - 12/5*y = 0.
-1, 0, 3, 4
Let r be (-4)/18 + (-8)/(-36). Let c = 4703/33068 + 3/4724. Factor 0*k + c*k**2 + 1/7*k**4 - 2/7*k**3 + r.
k**2*(k - 1)**2/7
Let b(g) be the first derivative of 16/7*g - 2/21*g**3 + 36 - 2/7*g**2. Find t such that b(t) = 0.
-4, 2
Let n(b) = -b**3 + b**2 - b + 1. Let j(r) = -15*r**3 + 33*r**2 - 9*r - 9. Let o(z) = -j(z) + 12*n(z). Factor o(s).
3*(s - 7)*(s - 1)*(s + 1)
Let a(j) be the third derivative of j**7/70 + 41*j**6/40 + 187*j**5/20 + 255*j**4/8 + 54*j**3 - 5958*j**2. Determine l, given that a(l) = 0.
-36, -3, -1
Let s(k) be the first derivative of -k**5 - 95*k**4/2 - 1985*k**3/3 - 1710*k**2 - 1620*k - 1940. Factor s(i).
-5*(i + 1)**2*(i + 18)**2
Let s be (10 + -6 + -3)/(2/50). Let z = -20 + s. Determine d, given that -8*d**z + 5*d**3 - 31*d**2 - 15*d**4 + 46*d**2 - 2*d**5 + 5*d = 0.
-1, -1/2, 0, 1
Let 1623 + 1152*y + 90*y**4 - 228*y**3 - 744*y**2 + 1626 - 2865 + 21*y**5 = 0. Calculate y.
-4, -2/7, 2
Suppose -79*t = -82*t + 153. Suppose 53*x = -4*p + t*x, -3*p - x + 2 = 0. Solve 0*d**p + 0 - 8/7*d**3 - 4/7*d**4 + 0*d = 0 for d.
-2, 0
Determine z, given that 0*z**3 + 0*z + 0*z**2 + 0 - 2/3*z**4 - 2/9*z**5 = 0.
-3, 0
Let -289431 - 546*a + 693*a - 1490*a - 5*a**2 - 917*a + 34051 = 0. Calculate a.
-226
Suppose 6*h - 3*h - 6 = 0. Suppose -h*n = -7*n + 25. Suppose -5*b**3 - 10 + 0 + 13*b**2 - 3*b**2 + n*b = 0. Calculate b.
-1, 1, 2
Let v be 168/(-196)*7/(-42). Let w be 450/14 + 0/2. Factor -30/7*p + v*p**2 + w.
(p - 15)**2/7
Let f(l) = -l**3 + 2*l**2 + 13*l - 30. Let j be f(3). Let t(p) be the first derivative of j*p + 4/9*p**2 + 22 - 2/45*p**5 + 1/3*p**4 - 2/3*p**3. Factor t(s).
-2*s*(s - 4)*(s - 1)**2/9
Factor 1/2*k**4 - 9/2*k**3 + 23/2*k**2 + 0 - 15/2*k.
k*(k - 5)*(k - 3)*(k - 1)/2
Let d = 3337 - 13347/4. Let i(v) be the first derivative of 0*v + 0*v**2 + 1/20*v**5 + d*v**3 + 26 - 1/4*v**4. Find a, given that i(a) = 0.
0, 1, 3
Let c(g) be the first derivative of -7*g**5/15 + 1315*g**4/6 + 752*g**3/9 - 5094. Let c(a) = 0. What is a?
-2/7, 0, 376
Find y, given that 5600 + 184*y - 5876*y + 1641*y - 9939*y - 25*y**2 = 0.
-560, 2/5
Solve -148/9*d + 4/9*d**2 + 248/3 = 0.
6, 31
Let n(c) = -21*c**5 - 213*c**4 - 363*c**3 + 399*c**2 + 390*c - 132. Let k(y) = 9*y**4 + y. Let t(h) = -6*k(h) + n(h). Find b, given that t(b) = 0.
-11, -2, -1, 2/7, 1
Suppose 0 = -8*j + 4*j + 8. Suppose 3*d - 8 - 2 = -4*v, 2 = v + d. Factor -8*a**j - 10*a**2 + 15*a**2 + 3*a**v.
3*a**2*(a - 1)*(a + 1)
Factor -14/23*p**2 - 2/23*p**3 + 96/23 + 28/23*p.
-2*(p - 3)*(p + 2)*(p + 8)/23
Suppose -56*a = -441 + 161. Let h(j) be the first derivative of -25/3*j**3 - 13 - 5/4*j**4 + 20*j**2 + j**a - 16*j + 1/6*j**6. Factor h(u).
(u - 1)**3*(u + 4)**2
Let v(k) be the first derivative of -2*k**5/45 - 25*k**4/9 + 14*k**3/27 + 344*k**2/9 - 200*k/3 - 4905. Find n, given that v(n) = 0.
-50, -3, 1, 2
Let h = -443 + 4879/11. Suppose -12*i = -16*i + 8. Factor h*a + 2/11*a**i - 8/11.
2*(a - 1)*(a + 4)/11
Suppose -322*y**5 - 745*y**2 + 1149*y**2 - 864 + 3355*y + 1339*y + 4766*y**4 - 22216*y**3 + 2794*y + 29644*y**2 = 0. Calculate y.
-2/7, 2/23, 3, 6
Let a(t) be the third derivative of -11*t**6/120 + 137*t**5/150 + t**4/24 + 2642*t**2 + 2. Factor a(r).
-r*(r - 5)*(55*r + 1)/5
Let w(q) = -q**2 - 6*q - 20. Let y be w(-8). Let i = 38 + y. Factor 0*z**2 - 8*z**2 + 6*z**i + z**2 + 2 - z.
-(z - 1)*(z + 2)
Suppose 6*g + 10 + 2 = 0. Let o be g/4 + 5/2. Factor -i**2 + 6 - 4 + 2*i**4 - 3*i**o.
2*(i - 1)**2*(i + 1)**2
Let h(v) be the second derivative of 0 + 2*v**3 - 8*v**2 + 9*v + 7/20*v**5 - 2*v**4. Let y(o) be the first derivative of h(o). Find n, given that y(n) = 0.
2/7, 2
Let i = -1711646/551 + 140568/29. Let m = i - 1734. Suppose 2/19 - 32/19*w + m*w**2 = 0. Calculate w.
1/8
Let o(s) = 21*s - 6 - 7*s + 6*s**2 - s**3 + 3*s. Let u be o(8). Factor -3*b - 3*b**2 + 742 - 744 + 2*b**u.
-(b + 1)*(b + 2)
Factor 2/5*w**3 - 144/5*w + 0 - 2/5*w**2.
2*w*(w - 9)*(w + 8)/5
Let i(v) = -v**2 + v + 1. Suppose 8 + 82 = 15*r. Let n(c) = -11*c**2 + 31*c + 6. Let l(g) = r*i(g) - n(g). Find o, given that l(o) = 0.
0, 5
Suppose -5*p + 10*p - 12 = -r, 3*p = 2*r + 15. Suppose -11 = 2*f - p*o - 3, 4*f + 12 = 5*o. Factor -4*t**f - 2/3*t + 4 + 2/3*t**3.
2*(t - 6)*(t - 1)*(t + 1)/3
Let b = 340/403 - -529/806. Let 6*z - 3/2*z**3 - b*z**2 + 6 = 0. What is z?
-2, -1, 2
Let d(x) be the second derivative of 3*x**7/14 + 271*x**6/120 + 397*x**5/80 - 101*x**4/8 - 76*x**3/3 + 20*x**2 - x + 3053. Suppose d(j) = 0. What is j?
-4, -1, 2/9, 5/4
Let y(k) be the third derivative of k**7/840 + 7*k**6/360 + k**5/10 + 19*k**3/2 - k**2 + 7. Let o(u) be the first derivative of y(u). Solve o(r) = 0.
-4, -3, 0
Let b(k) = -k**3 - 14*k**2 - 33*k - 16. Let m be b(-11). Let q be 8/6*((-40)/m)/5. Find f, given that -8/3*f**3 - 2/3*f**2 + 8/3*f + q = 0.
-1, -1/4, 1
Let z(d) = -d**2 - 839*d + 88203. Let p(l) = -3*l**2 + l + 3. Let r(h) = 2*p(h) - 2*z(h). Factor r(c).
-4*(c - 210)**2
Let v be 4/(-34) - (4231680/(-18088))/87. Factor -24/7*g**2 + 18/7*g**3 - v*g + 3/7*g**4 + 3.
3*(g - 1)**2*(g + 1)*(g + 7)/7
Let i = 29/8 + -581/200. Let x(f) be the first derivative of i*f**5 + 1/10*f**6 + 6/5*f + 21/10*f**4 - 29 + 16/5*f**3 + 27/10*f**2. Let x(k) = 0. What is k?
-2, -1
Let d(t) be the second derivative of t**5/70 - 17*t**4/21 - 235*t**3/21 - 200*t**2/7 + 238*t. Factor d(u).
2*(u - 40)*(u + 1)*(u + 5)/7
Suppose 15*p - 23 - 22 = 0. Suppose -p*z = -2*m - 123, z = -3*z + 4*m + 168. Solve -z*i + 90*i**2 + 26*i**5 - 96*i**3 + 4 + 2 - 35*i**5 + 48*i**4 = 0 for i.
1/3, 1, 2
Let t(l) = -2*l**3 + 51*l**2 + 15*l + 286. Let j be t(26). Let m(u) be the first derivative of -1/9*u**3 + 4/3*u + j*u**2 + 15. Solve m(i) = 0.
-2, 2
Suppose 16*r**2 - 132*r**3 - 16*r**2 + 175*r**3 + 4*r**4 - 3*r**4 = 0. Calculate r.
-43, 0
Let s(d) be the second derivative of -19773*d**6/2 - 232713*d**5/4 + 3