q + 3)/19
Suppose -5*q - 3*o + 22 = -9*q, 0 = 16*q - o - 22. Find v, given that 0 + 1/3*v**4 - 1/3*v**q + 0*v - 1/3*v**3 + 1/3*v**5 = 0.
-1, 0, 1
Let q(r) be the third derivative of r**6/360 + 31*r**5/90 + 961*r**4/72 + 664*r**2. Suppose q(w) = 0. Calculate w.
-31, 0
Let o(g) be the second derivative of -g**5/100 - g**4/15 - g**3/10 + 16*g + 1. Suppose o(t) = 0. What is t?
-3, -1, 0
Let p(s) be the second derivative of 22*s + 13/6*s**3 - 1/1440*s**6 + 0*s**2 + 1/96*s**4 + 0*s**5 + 0. Let b(l) be the second derivative of p(l). Factor b(f).
-(f - 1)*(f + 1)/4
Solve 63*q - 37*q**5 + 59*q**5 + 44*q**3 + 52*q**2 - 52*q**4 - 42*q**5 - 87*q = 0.
-3, -1, 0, 2/5, 1
Let b be (-3)/((-90)/(-5)) - 1086/(-36). Let j be (1/((-5)/9))/(27 - b). Factor 4/5 + 0*w + j*w**3 - 7/5*w**2.
(w - 2)*(w - 1)*(3*w + 2)/5
Let p = 378 + -290. Let r = p - 612/7. Suppose r*v**2 + 8/7 - 12/7*v = 0. Calculate v.
1, 2
Let y(j) be the first derivative of j**4/4 + 76*j**3 + 453*j**2/2 + 226*j + 334. Determine b so that y(b) = 0.
-226, -1
Factor 370*b**3 - 6*b**2 - 168*b**3 - 48*b - 200*b**3 + 160.
2*(b - 4)**2*(b + 5)
Let w(u) be the second derivative of -u**5/4 + 125*u**4/4 - 180*u**3 + 41*u - 2. Determine z so that w(z) = 0.
0, 3, 72
Let z(w) be the first derivative of -3*w**5/2 + 185*w**4 - 17740*w**3/3 - 13000*w**2 + 25000*w - 1742. What is y in z(y) = 0?
-2, 2/3, 50
Find i, given that -1605/2*i**2 - 805/2*i**4 + 445/2*i + 15 + 45*i**5 + 1845/2*i**3 = 0.
-1/18, 1, 6
Let s(q) be the second derivative of q**5/10 - q**4/6 - 17*q**3/3 - 15*q**2 + 112*q + 1. Factor s(m).
2*(m - 5)*(m + 1)*(m + 3)
Suppose 74*c + 69*c - 89*c - 28 - 80 = 0. Factor 1/3*i**c - 1/3*i - 2.
(i - 3)*(i + 2)/3
Factor -1/2*j**2 - 320 + 28*j.
-(j - 40)*(j - 16)/2
Let h(d) = -579*d + 6371. Let b be h(11). Let t be 1*-4*9/(-12). Suppose -16*k**3 - 9*k + 5 + k + 2 - 28*k**b - t = 0. What is k?
-1, 1/4
Let w = 1084/13 + -35759/429. Let d(j) be the second derivative of -w*j**3 + 3/11*j**2 - 1/22*j**4 + 1/110*j**5 - 22*j + 0. Factor d(r).
2*(r - 3)*(r - 1)*(r + 1)/11
Let f(z) be the first derivative of -4*z**5/5 + 103*z**4 + 424*z**3/3 - 416*z**2 - 2411. What is y in f(y) = 0?
-2, 0, 1, 104
Let o(n) be the third derivative of -n**7/315 - n**6/36 + n**5/2 + 5*n**4/4 - 36*n**3 - 3272*n**2 - 2*n - 2. Let o(g) = 0. Calculate g.
-9, -3, 3, 4
Let l be ((-115)/7)/(-5) + -2*1/7. Let b(t) be the first derivative of 0*t + 2/15*t**l + 2 + 0*t**2 - 1/10*t**4. Factor b(a).
-2*a**2*(a - 1)/5
Let k = -9056 - -9089. Let c(p) be the third derivative of -250/3*p**3 + 0 - p**5 - k*p**2 - 25/2*p**4 - 1/30*p**6 + 0*p. Determine n so that c(n) = 0.
-5
Suppose -a + 421 = 385. Solve -10*c**2 + 23*c**2 + a*c + 40 - 12*c**2 - 17*c**2 - 12*c**3 = 0.
-2, -1, 5/3
Let z be ((-88)/(-7))/((-62196)/(-36281)). Determine b, given that -148*b**2 - 353/6*b - 362/3*b**3 - 8/3*b**4 - z = 0.
-44, -1/2, -1/4
Suppose -37*y**3 - 2*y - 8*y**3 + 42*y**3 + 3*y**2 + 6*y + 2*y = 0. Calculate y.
-1, 0, 2
Find j such that 12 - 4/3*j**2 + 0*j = 0.
-3, 3
Let v(h) be the third derivative of h**8/84 - 6*h**7/35 + h**6/2 + 29*h**5/15 - 12*h**4 + 24*h**3 + h**2 + 7. Solve v(y) = 0.
-2, 1, 3, 6
Find i such that 2/15*i**2 + 164/15*i + 0 = 0.
-82, 0
Factor 18787862/7*n**3 + 54000/7 + 1139400/7*n + 8013780/7*n**2.
2*(211*n + 30)**3/7
Let k(v) be the second derivative of v**6/120 + 87*v**5/80 + 43*v**4/24 - 1446*v. Factor k(g).
g**2*(g + 1)*(g + 86)/4
Let r(p) be the second derivative of 2*p**6/15 + 14*p**5/5 + 13*p**4 - 36*p**3 + 1597*p. Suppose r(t) = 0. Calculate t.
-9, -6, 0, 1
Suppose -536*i - 38*i = -113*i. Suppose i + 32/15*q - 16/5*q**2 - 2/15*q**4 + 6/5*q**3 = 0. What is q?
0, 1, 4
Let p(i) = -6*i + 46. Let o be p(8). Let d be (3/(-4))/((-3)/o)*0. Factor d + 45/4*t + 15/2*t**2 + 5/4*t**3.
5*t*(t + 3)**2/4
Let k(c) be the first derivative of 6*c**5/5 - 87*c**4/8 - 169*c**3/2 + 33*c**2 - 786. Suppose k(g) = 0. What is g?
-4, 0, 1/4, 11
Let l(u) be the third derivative of -u**8/1176 + 13*u**7/147 + 22*u**2. Factor l(a).
-2*a**4*(a - 65)/7
Let b(n) be the second derivative of -n**6/6 + 51*n**5/4 - 1425*n**4/4 + 7875*n**3/2 + 742*n + 2. Let b(z) = 0. What is z?
0, 15, 21
Let o(b) be the first derivative of -8*b**3/15 + 73*b**2 - 182*b/5 + 1164. Factor o(f).
-2*(f - 91)*(4*f - 1)/5
Let j(k) be the first derivative of 2*k**3/15 + 172*k**2/5 + 1323. Suppose j(m) = 0. What is m?
-172, 0
What is w in -50/7*w**2 - 50*w - 750/7 - 2/7*w**3 = 0?
-15, -5
Let f(y) = -67*y**2 + 744*y + 1522. Let m(q) = 31*q**2 - 372*q - 760. Let d(c) = 6*f(c) + 13*m(c). Factor d(o).
(o - 374)*(o + 2)
Let m(q) = -134*q**4 + 98*q**3 - 574*q**2 + 480*q. Let h(l) = -13*l**4 - l**3 + l**2. Let g(d) = -10*h(d) + m(d). Factor g(k).
-4*k*(k - 20)*(k - 6)*(k - 1)
Let a(g) be the third derivative of -1/36*g**5 - 1/90*g**7 - 15*g**2 + 1/1008*g**8 + 11/360*g**6 - 1 + 0*g + 0*g**3 + 0*g**4. Suppose a(h) = 0. Calculate h.
0, 1, 5
Let w(g) be the second derivative of -2*g**7/63 + 92*g**6/45 - 12*g**5/5 - 394*g**4/9 - 982*g**3/9 - 120*g**2 + 569*g - 4. What is r in w(r) = 0?
-1, 4, 45
Let w(y) be the third derivative of -y**8/560 - 114*y**7/175 - 18561*y**6/200 - 62461*y**5/10 - 368235*y**4/2 - 2778300*y**3 - 16*y**2 - 2*y + 2. Factor w(k).
-3*(k + 9)**2*(k + 70)**3/5
Let m(k) = 2*k**2 + 83*k + 35. Let p be m(-38). Let h be ((-12)/(-44))/((-21)/p). Solve -1/3*w**4 + 5/3*w**h - 8/3*w**2 + 0 + 4/3*w = 0.
0, 1, 2
Let s be (-1784)/(-1338) + (-11)/15 + (-4)/15. Factor 14/3*x + 15 + s*x**2.
(x + 5)*(x + 9)/3
Let n(w) be the first derivative of -11*w**6/120 + 13*w**5/60 - w**4/12 + 43*w**2/2 + 18. Let o(v) be the second derivative of n(v). Factor o(y).
-y*(y - 1)*(11*y - 2)
Let s = 653/3 + -3263/15. Let a(n) be the third derivative of 0*n + 1/525*n**7 + 0 + 1/60*n**4 + s*n**3 - 1/300*n**6 - 20*n**2 - 1/50*n**5. Factor a(q).
2*(q - 2)*(q - 1)*(q + 1)**2/5
Let 0 - 165/2*d**3 + 232*d**2 - 1/2*d**5 - 160*d + 11*d**4 = 0. What is d?
0, 1, 5, 8
Let 504/5*l + 2728/15*l**2 + 302/15 + 206/5*l**4 + 4/15*l**5 + 2132/15*l**3 = 0. What is l?
-151, -1, -1/2
Let t = 4290946/35 + -122586. Let z = t + -58/5. Suppose -3/7 - 3/7*f**2 - z*f = 0. Calculate f.
-1
Let r(u) be the second derivative of u**5/100 - 4*u**4/15 - 17*u**3/30 - 605*u. What is w in r(w) = 0?
-1, 0, 17
Let a(w) be the third derivative of -w**5/240 + 55*w**4/48 - 109*w**3/24 - 3174*w**2. Factor a(g).
-(g - 109)*(g - 1)/4
Let l(s) be the first derivative of -1/6*s**6 - 3*s**2 + 1/5*s**5 + 0*s - 1/3*s**3 + 7/4*s**4 + 54. Determine v so that l(v) = 0.
-2, -1, 0, 1, 3
Let j be 3/(-45)*3 + (-22)/4*16/(-40). What is s in 0 + 9/2*s**5 - 20*s + 42*s**j - 93/2*s**4 + 11*s**3 = 0?
-1, 0, 2/3, 10
Let y(r) = -9*r**3 - r**2 + 4*r + 4. Let l(n) = -520 + 11*n**3 + 2*n**2 + 517 - 3*n - 3*n**3. Let d(j) = -4*l(j) - 3*y(j). What is k in d(k) = 0?
-1, 0
Let m(x) be the first derivative of -x**5/120 - 5*x**4/16 + 17*x**3/6 + 122*x**2 - 93. Let a(z) be the second derivative of m(z). Find y, given that a(y) = 0.
-17, 2
Let n(t) = -t**3 + 43*t**2 - 193*t - 1070. Let a be n(37). Let -18/11*g - 2/11*g**a + 0 - 12/11*g**2 = 0. Calculate g.
-3, 0
Let n(r) = -r**2 - 61*r - 305. Let y be n(-53). Let f = -114 + y. Find z, given that -54*z**f + 88/3*z**2 - 8/3*z - 314/3*z**3 + 0 + 132*z**4 = 0.
0, 2/9, 1
Suppose -44 = 36*u + 28. Let m be (-4650)/(-6500) + u/20. Let 0 + m*s**2 + 70/13*s**5 + 12*s**3 - 16/13*s - 218/13*s**4 = 0. Calculate s.
-2/7, 0, 2/5, 1, 2
Let t(b) be the third derivative of 4*b**2 - 1/120*b**5 + 1/224*b**8 + 0*b + 1/840*b**7 + 1/24*b**3 - 1/40*b**6 + 9 + 1/16*b**4. Suppose t(x) = 0. Calculate x.
-1, -1/6, 1
Let z(y) = -12*y + 88. Let p be z(7). Factor -10*n**p + 9*n**2 + 2*n**5 - 17*n**3 + n**2 + 11*n**3 + 4*n**3.
2*n**2*(n - 5)*(n - 1)*(n + 1)
Suppose 11 = n - c + 1, -15 = -3*c. Let a be 475/(-190)*(-4)/n. Factor 8 - a*q**2 + 8/3*q.
-2*(q - 6)*(q + 2)/3
Let l(z) be the third derivative of -2/15*z**5 + 1/6*z**4 + 4/3*z**3 + 0*z + 0 - 64*z**2 - 1/30*z**6. Determine c, given that l(c) = 0.
-2, -1, 1
Let n = 2193 + -2189. Let k(i) be the second derivative of -14*i + 0 + 1/12*i**3 + 1/48*i**n - 3/8*i**2. Factor k(z).
(z - 1)*(z + 3)/4
Let d(y) = 8*y**3 - 2492*y**2 + 28856*y + 576000. Let r(l) = l**3 - 277*l**2 + 3206*l + 64000. Let t(c) = 3*d(c) - 28*r(c). Factor t(h).
-4*(h - 40)**2