, -1/3
Let s = 573 + -571. Let q be (-54)/(-36) + s/(-44)*-39. Suppose -72/11*y + 24/11 - q*y**3 + 78/11*y**2 + 6/11*y**4 = 0. What is y?
1, 2
Let p(v) be the third derivative of v**5/210 - v**4/6 + 11*v**3/7 - 388*v**2. Factor p(h).
2*(h - 11)*(h - 3)/7
Let u(q) = -7*q**2 - 15*q - 8. Let t be u(-7). Let j be (t/30 + 10)*5/3. Let 1/6*r**j + 1/3 + 2/3*r**2 + 5/6*r = 0. Calculate r.
-2, -1
Let h = -4/4481 - -40337/8962. Solve -h + 3*s**4 + 0*s**3 - 51/4*s + 3/4*s**5 - 21/2*s**2 = 0.
-3, -1, 2
Suppose -10*d = -17*d + 182. Suppose d*q - 5*q - 63 = 0. Solve 2/9*r + 2/9 - 2/9*r**2 - 2/9*r**q = 0.
-1, 1
Let h be (2 + (-9)/(-3))/((-5)/(-2)). Factor -68*q**3 - 22*q**4 + 36*q**5 - q**h + 57*q**3 - 2*q**4.
q**2*(q - 1)*(6*q + 1)**2
Let w(b) = b**3 - 2*b**2 - b - 2. Let i(u) = -10*u**3 + 12300*u**2 + 10036875*u + 2736717190. Let f(l) = i(l) + 15*w(l). Solve f(o) = 0 for o.
-818
Let q(j) = 282*j + 281*j - 1 + 154*j**2 - 12 + 79*j**3 - 558*j. Let f(x) = -40*x**3 - 78*x**2 - 2*x + 6. Let u(p) = -13*f(p) - 6*q(p). Factor u(g).
2*g*(g + 2)*(23*g - 1)
Let m be (-2 + -3)*14/(-35)*-2. Let b be (-2)/(-3) + (m - (-96)/27). Factor -b*j**5 + 2/9*j**3 + 0 + 2/9*j**4 - 2/9*j**2 + 0*j.
-2*j**2*(j - 1)**2*(j + 1)/9
Let t(x) = 11*x**3 + 27*x**2 - 3*x - 21. Let o(y) = 245*y**3 + 595*y**2 - 65*y - 460. Let s(z) = 2*o(z) - 45*t(z). Factor s(m).
-5*(m - 1)*(m + 1)*(m + 5)
Determine u so that -76/9*u**2 + 310/9*u - 8/3 = 0.
3/38, 4
Let q(r) be the second derivative of 0 + 4*r**2 - 1/3*r**4 + 74*r - 2/3*r**3. Find o such that q(o) = 0.
-2, 1
Let k be (-298)/(-7748)*((-4 + 33)*-2 + 4)*-2. Factor -k + 2/13*n**3 + 22/13*n**2 + 30/13*n.
2*(n - 1)*(n + 3)*(n + 9)/13
Suppose 342 = 16*f + 3*f. Factor 108*a - 70*a**3 + f*a**3 + 158*a**2 + 8 - 110*a**2.
-4*(a - 2)*(a + 1)*(13*a + 1)
Factor -13*o**4 + 168*o**2 - 56*o**2 - 49119*o**3 - 7*o**4 + 49147*o**3 - 48*o.
-4*o*(o - 3)*(o + 2)*(5*o - 2)
Let q(j) be the third derivative of -j**5/30 + 10*j**4/3 - 328*j**2. Factor q(p).
-2*p*(p - 40)
Let r be -5 + (311885/63)/7. Let k = r - 702. Factor 0 + 0*a - 1/9*a**4 + 1/3*a**2 - k*a**3.
-a**2*(a - 1)*(a + 3)/9
Suppose -4*d**4 - 572*d**2 + 957*d + 128*d**3 + 16*d - 432 - 93*d = 0. What is d?
1, 2, 27
Let p = -563447/8 + 70431. Determine r, given that 23/8*r + p*r**3 + 13/8*r**2 + 11/8 = 0.
-11, -1
Suppose -4*x - 3*w = -469, 11*x + w = 6*x + 589. Let z be ((-360)/(-420) - x/56) + 2. Factor -3/4*g + z*g**4 - 9/4*g**3 + 0 + 9/4*g**2.
3*g*(g - 1)**3/4
Find p, given that -6/7 + 2/7*p + 6/7*p**2 - 2/7*p**3 = 0.
-1, 1, 3
Let w(p) = 3*p**4 - 27*p**3 + 51*p**2 + 255*p + 144. Let f(x) = -3*x**4 + 29*x**3 - 53*x**2 - 255*x - 145. Let m(d) = 6*f(d) + 5*w(d). Factor m(b).
-3*(b - 10)*(b - 5)*(b + 1)**2
Let u be (-4)/(48/(-18))*(320/(-90))/(-2). Let -4/3*g + 1/3*g**3 - 2/3*g**2 + u = 0. Calculate g.
-2, 2
Determine f so that -1/6*f**2 - 30 - 21/2*f = 0.
-60, -3
Let a(m) be the third derivative of 169*m**5/15 + 988*m**4/3 + 11552*m**3/3 - 606*m**2. Factor a(g).
4*(13*g + 76)**2
Let z = -399645 + 799293/2. Factor 23/8*j**2 - 5/8*j**3 + z + 5*j.
-(j - 6)*(j + 1)*(5*j + 2)/8
Let z be -8 + (-2772)/108 - -35. Factor -3*a**3 + 0 + 4*a**2 - z*a.
-a*(3*a - 2)**2/3
Suppose 0 = -5*m + 130 + 205. Factor 165*q + 5*q**3 - m*q**2 - 40 - 23*q**2 - 49 + 9.
5*(q - 16)*(q - 1)**2
Let x = 2611 + -2609. Let t be ((-9)/(-6))/(-3)*-4. What is l in -l**4 - l**x - 270*l + 272*l + 4*l**t = 0?
-1, 0, 2
Let u(l) = -6*l**4 - 53*l**3 + 45*l**2 + 504*l + 546. Let y(n) = 2*n**4 + n**3 - n**2 + 2. Let i(j) = u(j) - 3*y(j). What is c in i(c) = 0?
-3, -5/3, 3
Let n(o) be the first derivative of -2*o**5/5 - 21*o**4/5 - 34*o**3/5 - 14*o**2/5 + 2637. Find s, given that n(s) = 0.
-7, -1, -2/5, 0
Let v = 242168 - 242165. Factor 1/4*d**5 + 1/2*d + 0 - 1/4*d**2 + 1/4*d**4 - 3/4*d**v.
d*(d - 1)**2*(d + 1)*(d + 2)/4
Let d be -8*56/112 - (-51)/6. Solve 7/2*j**2 + d - 1/2*j**3 + 17/2*j = 0 for j.
-1, 9
Suppose 7*i + 18 = 2*d + 6*i, 3*d - 16 = -4*i. Suppose 0 - d = -4*q. Let -12*k - 3*k**5 - 71*k**q + 93*k**2 - 58*k**2 - 39*k**3 - 18*k**4 = 0. Calculate k.
-2, -1, 0
Let s = 2837 - 2833. Let p(t) be the second derivative of -1/35*t**6 + 0*t**2 + 10*t + 0*t**3 + 0 + 1/42*t**s - 1/35*t**5. Solve p(q) = 0 for q.
-1, 0, 1/3
Let d be 34 - ((6 - 9) + 3). Solve 180 + 5*f**2 - 44*f**3 - 36*f**2 + 60*f - 24*f**2 + 5*f**4 + d*f**3 = 0.
-2, 3
Let r = 106 + -49. Suppose -61*y + 28 = -r*y. Factor 20*t**2 - 4*t + 10*t**2 - y*t**2 - 28*t**3.
-t*(4*t - 1)*(7*t - 4)
Factor 11664/7 - 2/7*m**4 + 106/7*m**3 + 9720/7*m - 1836/7*m**2.
-2*(m - 18)**3*(m + 1)/7
Let p be (3180/53 - 76) + 1 + (-30)/(-2). Factor p*k + 0 + 32/9*k**2 - 2/9*k**4 + 4/3*k**3.
-2*k**2*(k - 8)*(k + 2)/9
Let q be (23/(-3) + 7)*(-18)/(-4). Let x(i) = 5*i**2 - 35*i + 128. Let s(u) = 9*u**2 - 69*u + 256. Let n(c) = q*s(c) + 5*x(c). Factor n(t).
-2*(t - 8)**2
Suppose 0 = 73*c + 337*c. Determine l, given that 4/3*l**2 - 4/3*l**4 - 8*l + c + 8*l**3 = 0.
-1, 0, 1, 6
Determine g, given that 28/9*g**2 - 4/9*g**4 - 8/3 + 20/9*g - 20/9*g**3 = 0.
-6, -1, 1
Suppose 2*g + 2 = 16. Let c = -14 + 24. Factor 6*i**3 + g*i**5 + i**5 + 16*i**2 - 28*i**4 + c*i**3.
4*i**2*(i - 2)**2*(2*i + 1)
Let d = 8861 - 8861. Let m(l) be the first derivative of d*l**2 - 105/8*l**4 + 21/2*l**5 - 29 + 0*l + 10/3*l**3 - 5/3*l**6. Determine f, given that m(f) = 0.
0, 1/4, 1, 4
Let n(g) = 22*g**2 + 84*g - 648. Let k(l) be the second derivative of -l**4/6 - l**3/6 + 19*l. Let v(a) = -12*k(a) - n(a). Factor v(j).
2*(j - 18)**2
Let x(l) be the first derivative of -l**3 - 621*l**2/2 - 618*l + 594. Factor x(z).
-3*(z + 1)*(z + 206)
Let l(v) = -135*v**3 + 15985*v**2 - 453545*v - 971340. Let a(h) = -5*h**3 + 592*h**2 - 16798*h - 35976. Let y(r) = -55*a(r) + 2*l(r). What is x in y(x) = 0?
-2, 60
Suppose n - 42 = -9*z, 2*z = 2*n - 56 + 52. Determine m so that -z*m**5 - 12*m**2 + 2/3 - 64/3*m**3 - 4/3*m - 46/3*m**4 = 0.
-1, 1/6
Let g(o) be the first derivative of 31*o**4/24 - 29*o**3/18 - o**2/6 + 1078. Solve g(q) = 0.
-2/31, 0, 1
Let b(p) = 4*p**2 - 140*p + 574. Let g(z) = 8*z**2 - 274*z + 1148. Let q(m) = 9*b(m) - 5*g(m). What is f in q(f) = 0?
7, 41/2
Factor 1888/3 - 4/3*m**2 + 312*m.
-4*(m - 236)*(m + 2)/3
Let u(l) = 66*l + 221. Let i be u(0). Let n = -219 + i. Factor 2/21*b**n + 0 - 2/21*b.
2*b*(b - 1)/21
Let p be 18*(1 - 5589/5730). Let t = p + 30/191. Suppose 12/5 + t*n**4 - 18/5*n**3 + 39/5*n**2 - 36/5*n = 0. What is n?
1, 2
Let y = 25002 + -75002/3. Find x such that 4/3*x**5 + 10/3*x**2 + 6*x**4 - 2*x - y + 26/3*x**3 = 0.
-2, -1, 1/2
Let m(q) be the second derivative of 3*q**5/40 - 635*q**4/8 - 159*q**3 + 5341*q. Factor m(g).
3*g*(g - 636)*(g + 1)/2
Let j(s) = -162*s**2 - 13236*s + 8868. Let r(g) = -87*g**2 - 7127*g + 4775. Let x(m) = 15*j(m) - 28*r(m). Factor x(a).
2*(a + 170)*(3*a - 2)
Let a(g) be the first derivative of 1/9*g**4 + 0*g**2 + 25 + 0*g + 2/45*g**5 + 2/27*g**3. Factor a(s).
2*s**2*(s + 1)**2/9
Let d(s) be the third derivative of s**6/24 + 13*s**5/4 + 90*s**4 + 810*s**3 - 917*s**2. Solve d(h) = 0 for h.
-18, -3
Let w(o) = -o**2 - 28*o - 87. Let b be w(-21). Let j be 330/b - (-14)/(-4). Find c, given that 0*c**4 - 5*c**j + 5/2*c**3 - 1/4*c**5 - 1 + 15/4*c = 0.
-4, 1
Let x(d) = -45*d**3 + 720*d**2 - 1845*d + 1130. Let i(m) = -20*m**3 + 320*m**2 - 820*m + 502. Let n(z) = -20*i(z) + 9*x(z). What is u in n(u) = 0?
1, 2, 13
Let r(m) = 27*m**3 - 9*m**2 - 63*m - 39. Let w(p) = -23*p**3 + 8*p**2 + 61*p + 40. Let l(o) = 5*r(o) + 6*w(o). Find z, given that l(z) = 0.
-3, -1, 5
Let m be ((-7)/294*-1560)/10. Suppose 0 + m*s**3 + 22/7*s - 46/7*s**2 - 2/7*s**4 = 0. What is s?
0, 1, 11
What is q in -56/3*q**3 + 128/3*q - 10/3*q**4 - 32 + 64/3*q**2 + 2*q**5 = 0?
-2, 2/3, 2, 3
Let o be 28/(-10) - 688959/(-9180). Suppose -17/2*g - 1/4*g**2 - o = 0. Calculate g.
-17
Let w = 109 - 103. Let c(a) = -3*a**2 - 3*a. Let m(g) = 1. Let r(p) = w*m(p) + c(p). Let r(h) = 0. Calculate h.
-2, 1
Let y(h) be the first derivative of -3*h**4/2 + 94*h**3/7 + 300*h**2 + 168*h + 14226. Find u, given that y(u) = 0.
-7, -2/7, 14
What is z in -11/2*z**4 - 1/4*z**5 - 49/4*z - 112*z**2 + 343/2 - 83/2*z**3 = 0?
-7, -2, 1
Let i(n) be the second derivative of -n**7/42 + n**6/30 + 271*n**5/10 - 1715*n**4/3 + 10300*n**3/3 + 14000*n**2 - 4668*n. Determine r so that i(r) = 0.
-28, -1