+ 17)
Suppose 8 = -3*u + 4*n, -5*n = -0*u - 2*u + 4. Let h be u + 4 + 1 + 12. Factor -h*f**5 + 2*f**5 - f**4 + 2*f**5 + f**2 + 6*f**5 - f**3.
f**2*(f - 1)**2*(f + 1)
Let s(i) = -10*i**2 + 106*i + 9*i**2 - 2543 - 811. Let t(w) = 2*w - 2. Let l(q) = s(q) + 5*t(q). Let l(r) = 0. Calculate r.
58
Let y(x) = 3*x**3 - 23*x**2 - 48*x + 168. Let z(l) = 4*l**3 - 34*l**2 - 72*l + 232. Let j(m) = 7*y(m) - 5*z(m). Suppose j(p) = 0. Calculate p.
-4, -1
Let d(m) = -m**4 - 4*m**3 - 2*m. Let y = 51 + -53. Let a(f) = -3*f**4 - 18*f**3 - 9*f. Let t(u) = y*a(u) + 9*d(u). Factor t(p).
-3*p**4
Let s(m) = -m**4 - m**3 - 1. Let u(n) = -5*n**4 - 5*n**3 + 8*n**2 + 8*n - 3. Let h be -1 - (-2)/(-3)*-6. Let j(x) = h*s(x) - u(x). Factor j(o).
2*o*(o - 2)*(o + 1)*(o + 2)
Let i(d) be the first derivative of -1/20*d**4 + 1/10*d**3 - 2/5*d - 1/50*d**5 + 1/5*d**2 - 6. Suppose i(a) = 0. Calculate a.
-2, 1
Let x(l) = l**3 - 4*l**2 + l - 2. Let u = -4 - -8. Let h be x(u). Factor 0*p**2 - 7*p + 3*p - p**3 + p**2 + 3*p**h.
-p*(p - 2)**2
Let h = 2807825/2 - 1403887. Suppose -6 + h*v**2 - 42*v + 45/2*v**3 = 0. Calculate v.
-2, -2/15, 1
Let t(k) be the first derivative of -19*k**3/3 + 139*k**2/2 - 42*k - 523. Factor t(g).
-(g - 7)*(19*g - 6)
Determine p, given that 2*p + 3049 - 1007 + 23*p**2 - 1020 - 12*p**3 - 1022 = 0.
-1/12, 0, 2
Let p(w) be the third derivative of w**9/7560 - w**7/1260 - w**4 + 44*w**2. Let d(i) be the second derivative of p(i). Factor d(m).
2*m**2*(m - 1)*(m + 1)
Let k(m) = -12*m**3 - 8*m**2 + 36*m. Let w(f) = f**4 + 3*f**3 + 2*f**2 + 2*f. Let v(l) = 2*k(l) - 4*w(l). Factor v(x).
-4*x*(x - 1)*(x + 2)*(x + 8)
Let h(u) be the third derivative of u**6/720 - 373*u**5/24 + 3478225*u**4/48 - 6486889625*u**3/36 - u**2 + 113*u - 2. Suppose h(n) = 0. Calculate n.
1865
Let k(i) be the first derivative of -i**6/2 - 66*i**5/5 + 39*i**4 + 88*i**3 - 288*i**2 - 194. Determine o, given that k(o) = 0.
-24, -2, 0, 2
Let s(b) = -35*b**4 + 3470*b**3 - 5776*b**2 + 1138*b + 1155. Let n(a) = -8*a**4 - 4*a. Let j(f) = -4*n(f) + s(f). Find y, given that j(y) = 0.
-1/3, 1, 1155
Let m(j) be the second derivative of -j**6/135 - j**5/9 + 16*j**4/27 + 128*j**3/9 - 45*j - 6. Determine c, given that m(c) = 0.
-8, 0, 6
Suppose 2*k = -3*d + 22, 133*d - 138*d - k + 18 = 0. Factor 6/17 - 38/17*y**d + 32/17*y.
-2*(y - 1)*(19*y + 3)/17
Factor -104907/2 + 187*p - 1/6*p**2.
-(p - 561)**2/6
Let n be (-13 - -9) + -2 - ((-27)/6 + -3). Factor n*z**3 + 3/2*z + 0 + 3*z**2.
3*z*(z + 1)**2/2
Suppose 190 - 80 + 514 + 41*f**2 + 144*f + 352*f - 4*f**3 + 43*f**2 = 0. Calculate f.
-3, -2, 26
Determine n, given that 2*n**3 - 66 - 27*n**2 + 26 - 98*n - 8*n**2 = 0.
-2, -1/2, 20
Let x(z) = 2*z**4 + 3*z**3 + z**2 + z + 2. Let d(r) = 9*r**4 + 21*r**3 + 6*r**2 + 6*r + 12. Let b(h) = d(h) - 6*x(h). Factor b(f).
-3*f**3*(f - 1)
Let b be 2 - (152/(-4) - -3 - 1). Let c = -34 + b. Factor 0*s + 0*s**4 + 10*s + 5*s**c - 15*s**2.
5*s*(s - 1)**2*(s + 2)
Suppose 0 = -3*o - 5*i + 24, -4*o + 3*i + 18 = 5*i. Suppose -o*r**3 + 20*r**4 + 6*r**2 - 48*r**4 + 25*r**4 = 0. Calculate r.
-2, 0, 1
Let 2/7*h**5 - 4/7*h**2 + 0 + 0*h - 2/7*h**3 + 4/7*h**4 = 0. What is h?
-2, -1, 0, 1
Let y(v) = -v**2 - 13*v + 143. Let m be y(-20). Let o be (54/(-30))/m - 501/(-135). Factor o*s**2 + 16/9*s + 8/9*s**3 - 4/9*s**4 + 0.
-4*s*(s - 4)*(s + 1)**2/9
Let h(p) be the first derivative of -1/16*p**4 + 1/2*p**3 + 0*p - 10*p**2 - 8 - 1/40*p**5. Let q(a) be the second derivative of h(a). Factor q(z).
-3*(z - 1)*(z + 2)/2
Let z(x) = -43*x**4 - 295*x**3 - 1213*x**2 - 2163*x - 1296. Let r(c) = -24*c**4 - 164*c**3 - 674*c**2 - 1202*c - 720. Let p(h) = 25*r(h) - 14*z(h). Factor p(n).
2*(n + 2)**3*(n + 9)
Let d be (15 + -13 + 7)/1. Determine x so that -x**2 + 0*x**3 - 21*x - d*x**2 - 120 + 121*x - 5*x**3 = 0.
-6, 2
Let g(i) = -7*i**3 - 35*i**2 + 6*i. Let n(a) = -9*a**3 - 36*a**2 - 7*a. Let z(r) = 5*g(r) - 4*n(r). Factor z(u).
u*(u - 29)*(u - 2)
Suppose 12*a = 49*a - 148. Factor -34*y**a + 147*y**3 - 15*y**3 + 4*y**5 - 148*y**2 - 10*y**4 + 56*y.
4*y*(y - 7)*(y - 2)*(y - 1)**2
Factor 1/3*p - 1/3*p**2 + 44.
-(p - 12)*(p + 11)/3
Factor 5/3 + 10/3*v**3 - 10/3*v - 5/3*v**4 + 0*v**2.
-5*(v - 1)**3*(v + 1)/3
Let r(z) be the first derivative of 11*z**4/16 - 5*z**3/8 - 9*z**2/4 - 13*z + 63. Let a(i) be the first derivative of r(i). Determine y so that a(y) = 0.
-6/11, 1
Let h(r) = -20*r**5 + 1848*r**4 - 64228*r**3 + 998746*r**2 - 5986158*r + 2238728. Let o(j) = 2*j**3 + j**2 - j. Let a(t) = -h(t) - 6*o(t). Factor a(x).
4*(x - 23)**4*(5*x - 2)
Suppose 0 = c, 0 = -3*m - 4*c + 15 - 3. Suppose 0 = 3*u - 6*u + 15. Suppose f**2 - 2*f**2 - u*f**2 + 5*f**m + f**2 = 0. What is f?
-1, 0, 1
Let d be (12712/(-588) + 24)/(8/14). Factor -1/6*u**4 + 0 - d*u**2 - 5/3*u**3 + 0*u.
-u**2*(u + 5)**2/6
Let h(q) be the first derivative of 5*q**6/12 - q**5 - 5*q**4 - 2650. Factor h(j).
5*j**3*(j - 4)*(j + 2)/2
Suppose 63*t - t**5 + 5*t**4 + 9*t**3 - 8 - 17*t**2 - 41*t - 10*t**3 = 0. Calculate t.
-2, 1, 4
Factor 297992/7 - 2/7*l**3 - 299536/7*l + 1546/7*l**2.
-2*(l - 386)**2*(l - 1)/7
Let p = -355482 + 355491. Factor -11/2*f**3 - 1/2*f**4 - 37/2*f**2 - 45/2*f - p.
-(f + 1)**2*(f + 3)*(f + 6)/2
Let b(s) be the first derivative of -s**4/16 + 23*s**3/3 - 89*s**2/8 - 91*s/2 - 2044. Find v, given that b(v) = 0.
-1, 2, 91
Find z such that -397*z**2 + 125*z**2 + 133*z**2 - 198 + 141*z**2 + 60*z = 0.
-33, 3
Let p(s) = -2*s**3 - 7*s**2 + s + 1. Let i(g) = g**3 - 4834*g**2 - 1185803*g - 3513843. Let q(c) = i(c) + 3*p(c). Factor q(b).
-5*(b + 3)*(b + 484)**2
Let i(h) = 11*h - 338. Let y be i(34). Let t(b) = -2*b**2 + 75*b - 106. Let u be t(y). Suppose 7/4*f + 1/2 + 5/4*f**u = 0. What is f?
-1, -2/5
Let d(r) be the first derivative of 13*r**6/12 + 57*r**5/5 - 39*r**4/8 - 184*r**3/3 - 57*r**2 - 1543. Solve d(o) = 0.
-114/13, -1, 0, 2
Suppose 17*p - 31*p + 24164 = 0. Let 15*f**3 + p*f - 849*f - 48*f**2 + 48 - 865*f = 0. What is f?
-4/5, 2
Let j(h) be the first derivative of -h**5/40 - h**4/8 + 16*h + 8. Let t(d) be the first derivative of j(d). Factor t(y).
-y**2*(y + 3)/2
Suppose 7*z - 114*z - 30 + 58 - 28 = 0. Suppose z + 4*n**3 - 4/7*n**2 - 24/7*n - 4/7*n**5 + 4/7*n**4 = 0. Calculate n.
-2, -1, 0, 1, 3
Let k(j) be the third derivative of 13*j**2 + 1/33*j**5 - 1/1320*j**6 + 0*j - 25/66*j**4 + 0*j**3 + 0. Factor k(c).
-c*(c - 10)**2/11
Suppose -45*b**5 - 97*b**2 + 1155*b - 1215*b - 95*b**2 - 114*b**4 + 519*b**3 = 0. Calculate b.
-5, -1/5, 0, 2/3, 2
Let x(o) = -4*o**3 + 284*o**2 - 4*o - 280. Let r(d) = 8*d**3 - 570*d**2 + 12*d + 560. Let z(j) = 2*r(j) + 5*x(j). Factor z(w).
-4*(w - 70)*(w - 1)*(w + 1)
Let x(l) be the first derivative of l**6/30 + 2*l**5/25 - l**4/4 - 2*l**3/5 + 5757. Suppose x(o) = 0. What is o?
-3, -1, 0, 2
Let y = -13935 + 13935. Let s(m) be the second derivative of 1/294*m**7 + 0 - 32*m + 0*m**3 + 1/42*m**4 - 3/140*m**5 + y*m**6 + 0*m**2. Factor s(g).
g**2*(g - 1)**2*(g + 2)/7
Suppose -2413 - 4*p**4 + 5360*p + 6270 + 943 + 528*p**2 - 36*p**3 = 0. Calculate p.
-10, -1, 12
Suppose 1046 + 54 = 333*q - 58*q. Let u(a) be the second derivative of -8*a + 10/3*a**3 + 6*a**2 + 1/4*a**q + 0. Solve u(b) = 0.
-6, -2/3
Let c(j) be the second derivative of -j**4/6 + 125*j**3/3 - 124*j**2 + 5*j - 24. Find u such that c(u) = 0.
1, 124
Let t(z) be the second derivative of -z**7/35 - 23*z**6/75 - 7*z**5/25 + 131*z. Factor t(m).
-2*m**3*(m + 7)*(3*m + 2)/5
Suppose -232 = -6*g - 154. Let q(h) be the first derivative of 3/26*h**4 + g + 5/13*h**2 + 14/39*h**3 + 2/13*h. Factor q(z).
2*(z + 1)**2*(3*z + 1)/13
Let o(u) = -4*u**4 + 75*u**3 + 226*u**2 + 255*u + 9. Let g(z) = z**4 + 6*z**2 + 5*z - 1. Let m(h) = -9*g(h) - o(h). Let m(i) = 0. Calculate i.
-10, -3, -2, 0
Let v be ((-2000)/140)/((-4)/238). Let z = v + -9344/11. Factor 0 + 2/11*c**2 + z*c.
2*c*(c + 3)/11
Suppose 38*p - 45 = u + 42*p, -3*p - 180 = 4*u. Let t be (4 - (-190)/u)/((-6)/54). Suppose -3/7*o**4 + 11/7*o**t + 4/7*o**3 - 16/7*o + 4/7 = 0. Calculate o.
-2, 1/3, 1, 2
Let a(p) be the first derivative of 13*p**2 + 1/3*p**3 + 101 - 27*p. Find l, given that a(l) = 0.
-27, 1
Suppose w - 2*w - 26 = 0. Let v = w + 28. Determine m so that -2*m**3 + v*m**3 - m + 3 - 3*m**2 + m**3 + 0*m = 0.
-1, 1, 3
Let b(i) be the first derivative of -8*i**5/5 - i**4 + 8*i**3/