*(h + 10)
Suppose -1336 = -1222*o + 1108. Factor 10/17*v**o + 0 + 2/17*v**3 + 12/17*v.
2*v*(v + 2)*(v + 3)/17
Let o(g) be the first derivative of -25*g**3/3 - 244*g**2 - 17*g - 300. Let m(c) = 3*c**2 + 61*c + 2. Let h(i) = -51*m(i) - 6*o(i). Factor h(a).
-3*a*(a + 61)
Suppose -3 = o - 12. Let h(j) be the second derivative of -j**4/12 + 5*j**3/3 + 2*j. Let v(s) = -5*s**2 + 41*s. Let c(m) = o*h(m) - 2*v(m). Factor c(u).
u*(u + 8)
Suppose 4*a + 16 + 4 = 4*y, 4*y = -4*a - 4. Suppose -y*w - 4*k = -32, 2*w + 5*k - 12 = 3*w. Let -4*d**2 - 8*d + 12*d - 8 + w*d = 0. Calculate d.
1, 2
Let o be 1171/4*(-173 + 177). Let z = 8201/7 - o. Factor z*c**3 - 16/7*c**2 + 20/7*c - 8/7.
4*(c - 2)*(c - 1)**2/7
Let w = 94673 - 94670. Factor 6/13*m**w + 6/13*m - 4/13 + 16/13*m**2.
2*(m + 1)*(m + 2)*(3*m - 1)/13
Determine h, given that 43/5*h - 3/5 + 31/5*h**2 - 3*h**3 = 0.
-1, 1/15, 3
Let r be (-104 - -111) + 0 + -1 + -3*1. Let n(m) be the first derivative of -1/8*m**2 - 14 + 1/12*m**r - 1/2*m. Find g, given that n(g) = 0.
-1, 2
Let r(x) = -x**3 - 4*x**2 + 4*x - 6. Let f be r(-5). Let a(b) = -4*b + 4. Let m be a(f). Find k, given that -14*k**2 + m + 3*k**3 - 2*k**3 + 8*k + 3*k**3 = 0.
-1/2, 2
Suppose -27*i + 686 = -29*i. Let b = i - -1033/3. Factor -2/3 + 16/9*o + 0*o**3 - b*o**2 + 2/9*o**4.
2*(o - 1)**3*(o + 3)/9
Let m(k) = -2*k**2 + 66*k + 33. Let l be m(33). Suppose -28*c + l + 23 = 0. Determine v so that -4/3*v**4 + 8/3*v**3 - 16/3 + 4*v**c - 16/3*v = 0.
-1, 2
Suppose -182*y = -183*y. Let x be (-702)/(-168) + 3/(-7). Suppose x*u**3 + 0*u**2 + y + 5/4*u**4 - 5*u = 0. What is u?
-2, 0, 1
Let y(o) = -o**2 + 3464*o + 1479212. Let x(d) = -3456*d - 1479208. Let z(g) = 3*x(g) + 2*y(g). Factor z(v).
-2*(v + 860)**2
Let k be 6 + (11 - -10) + -25. Factor 1/5 - 3/10*q**k - 1/10*q**3 + 1/10*q + 1/10*q**4.
(q - 2)*(q - 1)*(q + 1)**2/10
Let q(g) be the first derivative of 2*g**6/3 + 44*g**5/5 + 36*g**4 + 64*g**3/3 - 128*g**2 + 7768. Factor q(o).
4*o*(o - 1)*(o + 4)**3
Let d(k) = -k**3 + 13*k**2 - 25*k + 351. Let m be d(12). Let z be 275/m - (-2 + (-14)/(-6)). Determine n so that -6/13 - z*n**2 - 16/13*n - 4/13*n**3 = 0.
-3/2, -1
Suppose 0 = 7*y + 12*y + 3*y - 44. Let j(r) be the third derivative of 1/30*r**5 + r**3 + 0*r - r**y + 0 + 1/3*r**4. Factor j(k).
2*(k + 1)*(k + 3)
Let k(l) be the third derivative of 0*l**5 + l**2 - 36*l + 0 - 1/300*l**6 + 2/5*l**3 + 7/60*l**4. Factor k(p).
-2*(p - 3)*(p + 1)*(p + 2)/5
Let y be (-552)/(-72) + -5 - 4*(-2)/(-12). Let c(g) be the second derivative of -1/12*g**3 - 7*g - 1/24*g**4 + 0*g**y + 0. Factor c(n).
-n*(n + 1)/2
Let s be 21/(-15) - (-5 - 31)/(-6). Let h = -36/5 - s. Find q, given that 6/5*q**3 + 1/5*q + 0 + h*q**5 + 4/5*q**2 + 4/5*q**4 = 0.
-1, 0
Let g(p) be the third derivative of 8*p**3 + 0 - 7*p + 3/10*p**6 - 14/3*p**4 + 13/15*p**5 - 2/21*p**7 - 1/84*p**8 + 2*p**2. Let g(c) = 0. What is c?
-6, -2, 1
Let b be (2/4 - 3 - -2)*66/(-11). Let -5/4*j**4 + 0*j**b + 0*j - 5 + 25/4*j**2 = 0. What is j?
-2, -1, 1, 2
Let h(v) be the first derivative of -2*v**3/9 - 58*v**2 - 346*v/3 - 1468. Factor h(p).
-2*(p + 1)*(p + 173)/3
Let f(m) be the third derivative of 7*m**4/24 + 169*m**3/3 + 133*m**2. Let z be f(-48). Suppose -4/3 + 1/12*b**4 - 1/3*b**3 + 0*b**z + 4/3*b = 0. Calculate b.
-2, 2
Let c be 8/60*10 - (-10)/15. Suppose -2*r + 0*r = -36. Let 6*d**4 + 17*d**c - 48*d - r + 6*d**2 + 5*d**2 + 32*d**3 = 0. What is d?
-3, -1/3, 1
Let l = -2 + 4. Let n = 123307 + -123305. Solve 9/4 - 1/4*j**4 + 3/2*j - 3/2*j**3 - l*j**n = 0 for j.
-3, -1, 1
Let b(l) be the second derivative of l**4/3 - 6*l**3 + 28*l**2 + 3*l + 176. Determine u so that b(u) = 0.
2, 7
Let j(v) = 13*v**2 + 288*v + 275. Let p = -906 - -902. Let m(i) = -115*i**2 - 2590*i - 2475. Let h(n) = p*m(n) - 35*j(n). Let h(b) = 0. What is b?
-55, -1
Let z be (-46)/(-3 + 1) - 11515/705. Suppose 0 + z*u**3 + 20/3*u**2 + 4/3*u**5 - 8*u - 20/3*u**4 = 0. Calculate u.
-1, 0, 1, 2, 3
Suppose 562*o**2 + 816*o + 230*o**2 + 26*o**3 + 1240*o**2 + 727*o + 771*o + 308 = 0. What is o?
-77, -1, -2/13
Let v(d) = -14*d**3 + 7957*d**2 - 7896335*d + 3. Let f(y) = -66*y**3 + 39782*y**2 - 39481676*y + 14. Let w(m) = -3*f(m) + 14*v(m). Factor w(c).
2*c*(c - 1987)**2
Let n be 2/(-6)*(5 + -65). Let x = 24 - n. Factor -55*o**3 - o**4 + 52*o**3 + 3*o**2 + 3*o**5 - 2*o**x.
3*o**2*(o - 1)**2*(o + 1)
Suppose 60 + 40 = 1342*x - 1292*x. Factor -x*c**2 - 2/5*c**3 + 2 + 2/5*c.
-2*(c - 1)*(c + 1)*(c + 5)/5
Let h be (-334)/144 - ((-57)/9 - -4). Let l(i) be the second derivative of 4/9*i**3 + 0 - 16/3*i**2 - h*i**4 - 9*i. Solve l(t) = 0.
8
Let z(d) = 3*d**2 - d. Let c(k) = -14*k**2 - 22*k + 182. Let q(s) = -3*c(s) - 15*z(s). Factor q(a).
-3*(a - 14)*(a - 13)
Let c(g) be the second derivative of -9 + 0*g**3 - 3/8*g**5 + 0*g**2 - 2*g - 1/112*g**7 + 1/10*g**6 + 1/2*g**4. Factor c(j).
-3*j**2*(j - 4)*(j - 2)**2/8
Let h(t) = t**4 - 2*t**3 - t - 1. Let o(b) = 3*b**4 + 102*b**3 + 200*b**2 - b - 1. Let n(c) = -h(c) + o(c). Determine j so that n(j) = 0.
-50, -2, 0
Let k(a) be the third derivative of a**6/780 + 809*a**5/65 + 654481*a**4/13 + 4235801032*a**3/39 - 33*a**2 - 2*a + 9. Determine x so that k(x) = 0.
-1618
Let t(r) = -54*r - 1640. Let h be t(-31). Let l(s) be the first derivative of -s**4 - 10*s**2 - 16/3*s**3 + h - 8*s. Factor l(q).
-4*(q + 1)**2*(q + 2)
Let t(f) be the third derivative of f**6/360 - 2*f**5/5 - 37*f**4/18 - 285*f**2. Factor t(n).
n*(n - 74)*(n + 2)/3
Let i be (-72)/(-198)*(-77 + 2233). Factor 1/3*q**3 - 28*q**2 - 21952/3 + i*q.
(q - 28)**3/3
Find y, given that 518 - 1501*y + 380 + 75 - y**2 + 2473*y = 0.
-1, 973
Let a be (1798 + -1798)/(-7*4). Factor 49/4*s + 231/2*s**2 + 100*s**5 + 1369/4*s**3 + a + 330*s**4.
s*(4*s + 1)**2*(5*s + 7)**2/4
Let r = -19 - -27. Suppose 0 = r*i - 20 - 44. Suppose -14*o - i*o**2 - 20*o + 38*o + o**3 + 4*o**2 = 0. Calculate o.
0, 2
Determine c, given that 9*c**3 + 5451 + 36240*c - 1962 + 3711 + c**3 + 428*c**2 + 774*c**2 = 0.
-60, -1/5
Find p, given that -1420/7 - 1422/7*p - 2/7*p**2 = 0.
-710, -1
Let r(o) be the first derivative of o**7/4620 + o**6/660 + o**5/330 + 5*o**3/3 + 7*o**2/2 + 60. Let h(q) be the third derivative of r(q). Solve h(t) = 0.
-2, -1, 0
Let x = 308625 - 308623. Factor 16/3*n**4 + 26/3*n**3 + 0*n + 0 + 4*n**x + 2/3*n**5.
2*n**2*(n + 1)**2*(n + 6)/3
Determine l, given that 28*l**4 + 16*l**3 - l**5 - 39*l**3 - 35*l**2 - 18*l**4 + l**4 = 0.
-1, 0, 5, 7
Let b be ((-1684)/10 + -1)*((-5535)/287 - -19). Factor -2/5 + b*h**2 + 122/5*h**3 + 118/5*h.
2*(h + 1)**2*(61*h - 1)/5
Let l(g) be the third derivative of -45*g**2 - 23/3*g**5 - 23/12*g**6 - 11/42*g**7 - 5/336*g**8 - 55/3*g**4 - 80/3*g**3 + 0 + 0*g. Solve l(w) = 0.
-4, -2, -1
Factor -212*s + 31*s**4 + 23*s**3 - 56 + 98*s**2 + 30*s**3 - 97 - 255 - 30*s**4.
(s - 2)*(s + 2)**2*(s + 51)
Factor -140*v - 4*v**2 - 283*v - 808 - 101*v - 319 - 2345.
-4*(v + 7)*(v + 124)
Let r(i) be the first derivative of i**7/210 - 2*i**5/5 - 8*i**4/3 - 17*i**3 + i + 32. Let s(f) be the third derivative of r(f). Factor s(u).
4*(u - 4)*(u + 2)**2
Find m such that 232/5 - 926/5*m - 8/5*m**2 = 0.
-116, 1/4
Let a(k) = 3*k**4 + 27*k**3 + 241*k**2 + 897*k + 1021. Let h(w) = 2*w**4 + w**3 + w**2 + w - 3. Let d(v) = 2*a(v) - 2*h(v). Solve d(l) = 0 for l.
-8, -2
Suppose 4*z + v - 20 = 0, 5*z + 5*v - 24 = 16. Solve 188*r**3 - 28*r**4 + 8 + 16*r**5 - 64*r**3 - 59*r**4 + z*r + 11*r**4 - 76*r**2 = 0 for r.
-1/4, 1, 2
Factor -22135*t**3 + 22151*t**3 - 129*t + t**4 + 53*t - 61*t**2.
t*(t - 4)*(t + 1)*(t + 19)
Factor -229*p**2 + 124*p**2 + 195*p + 171*p + 107*p**2.
2*p*(p + 183)
Let p(d) = -7*d**3 + 130*d**2 + 134*d - 732. Let v(s) = -3*s**3 + 64*s**2 + 67*s - 366. Let f(t) = 2*p(t) - 5*v(t). Factor f(o).
(o - 61)*(o - 2)*(o + 3)
Let j(c) = -c**2 + 15*c - 42. Let f be j(11). Determine i so that -87*i**3 + 33*i**4 + 12*i**f - 21*i**4 + 47*i**3 = 0.
0, 1/3, 3
Let n be -7 - ((-76 - -4)/(-8) + -21). Let x(h) be the first derivative of 3/4*h**4 + 1/5*h**n - 2*h + 20 + 1/3*h**3 - 3/2*h**2. Find q, given that x(q) = 0.
-2, -1, 1
Let b = -933 - -771. Let d be 5/45 - 36/b. Suppose d*g**4 - 11*g**3 + g**5 - 8/3 - 14*g - 65/3*g**2 = 0. What is g?
-2, -1, -1/3, 4
Let c(l) = -8*l**3 + 866*l**2 + 1747*l + 875. Let z(p) = 4*p**3 + 2*p**2 + p + 1. Let k(u) = -c(u) - z(