d + 1. Suppose t(u) = 0. What is u?
11, 91
Factor 2/5*o**4 - 608/5*o + 2304/5 + 18/5*o**3 - 96/5*o**2.
2*(o - 4)**2*(o + 8)*(o + 9)/5
Let y(r) be the third derivative of r**5/60 - 13*r**4/3 + 3*r**2 - 138*r. Factor y(a).
a*(a - 104)
Let j(z) be the third derivative of -1/270*z**5 - 1/18*z**4 + 0*z + 7/27*z**3 + 102*z**2 + 0. What is l in j(l) = 0?
-7, 1
Let s be (-4 + 317/80)*1905/(-45). Let m = 1/80 + s. Factor -2*z + 2/5*z**2 + m.
2*(z - 4)*(z - 1)/5
Suppose 0 = 97*z - 342 - 337. Let m(x) be the second derivative of 0*x**3 + 0 - 8/75*x**6 - 1/30*x**4 + 0*x**2 + 1/30*x**z + 11/100*x**5 - 3*x. Factor m(d).
d**2*(d - 1)**2*(7*d - 2)/5
Suppose -7 - 8*z + 17/4*z**2 + 11/4*z**4 + 31/4*z**3 + 1/4*z**5 = 0. Calculate z.
-7, -2, -1, 1
Let k(v) be the first derivative of v**4/2 + 226*v**3/15 - 166*v**2/5 + 96*v/5 + 901. Find y, given that k(y) = 0.
-24, 2/5, 1
Find t such that -t**5 - 140*t**3 + 1678*t**4 - t**5 - 1716*t**4 = 0.
-14, -5, 0
Let l(f) = -f**3 + 10*f**2 + 12*f + 5. Let i be l(11). Let k = -3 + i. Suppose -d**2 + 9 - 21 - 9*d - k - d = 0. What is d?
-5
Let w = 169/495 + 17/165. Let y(x) be the second derivative of 2/3*x**2 + w*x**3 + 0 + 4/15*x**5 - 7/9*x**4 + 6*x. Find n, given that y(n) = 0.
-1/4, 1
Suppose -701*f - 3225 - 906*f - 385*f + 1236 - 3*f**2 = 0. What is f?
-663, -1
Let a(o) = 17*o**2 - 2155*o + 2201. Let z(m) = 8*m**2 - 1080*m + 1099. Let q(d) = -3*a(d) + 7*z(d). What is k in q(k) = 0?
1, 218
Let g(r) be the third derivative of 1/240*r**5 - 3/2*r**4 + 0*r + 0 + 216*r**3 - 199*r**2. Factor g(y).
(y - 72)**2/4
Let r(z) = -20*z**2 + 138*z + 7. Let v(x) = -79 + 83 - 8*x**2 - 3*x**2 + 39*x + 30*x. Let o(a) = -4*r(a) + 7*v(a). Let o(k) = 0. Calculate k.
0, 23
Factor -55 + 2*p**5 - 197 + 47*p**3 + 128*p**4 - 303*p - 331*p + 21*p**3 + 52*p**3 - 388*p**2.
2*(p - 2)*(p + 1)**3*(p + 63)
Let p(f) be the third derivative of -f**6/540 - 11*f**5/27 + 56*f**4/27 + 4*f**2 - 5*f + 35. Factor p(z).
-2*z*(z - 2)*(z + 112)/9
Let 4/9*i**3 - 76/9*i + 40/9 + 32/9*i**2 = 0. Calculate i.
-10, 1
Let h(r) be the first derivative of -2*r**6/3 + 244*r**5/15 - 320*r**4/3 + 400*r**3/9 + 2188. Let h(a) = 0. What is a?
0, 1/3, 10
Let l(a) be the first derivative of 7*a**2/2 - 109*a + 65. Let j be l(16). What is w in 7/5*w**j - 4/5*w + 4/5*w**2 - 2*w**4 + 3/5*w**5 + 0 = 0?
-2/3, 0, 1, 2
Let i(x) be the first derivative of x**5/210 + 40*x**4/21 + 6400*x**3/21 + 76*x**2 + 188. Let g(n) be the second derivative of i(n). Factor g(a).
2*(a + 80)**2/7
Let y(t) = -6*t**2 - 44*t + 11. Let k(i) = -5*i - 4*i**2 - 6*i + 2 + 2*i + 3*i**2. Let c(l) = -33*k(l) + 6*y(l). Factor c(g).
-3*g*(g - 11)
Let s(p) = 270*p**2 + 840*p + 1960. Let b(l) = -19*l**2 - 60*l - 140. Let f = -367 - -452. Let h(r) = f*b(r) + 6*s(r). Solve h(o) = 0.
-2, 14
Let s = 202 + -200. Let v = 309/553 + 1/79. Factor -10/7*a + 4/7*a**s - v + 10/7*a**3.
2*(a - 1)*(a + 1)*(5*a + 2)/7
Let c(k) be the third derivative of k**6/40 - 13*k**5/10 + 6*k**4 - 986*k**2. What is f in c(f) = 0?
0, 2, 24
Let g = -1461509/270 + 5413. Let k(z) be the third derivative of 0*z + 0 + g*z**6 - 2/9*z**3 - 5/54*z**4 - 1/135*z**5 + 9*z**2. Suppose k(v) = 0. Calculate v.
-1, 3
Let w = -54 - -60. Suppose -4*c + 22 = w. Factor -c*n**2 - 4*n - 8 + 4 + 12 + 0*n.
-4*(n - 1)*(n + 2)
Let 2*p**5 + 376/5*p**4 - 1792/5*p**3 + 0 + 2336/5*p**2 - 672/5*p = 0. Calculate p.
-42, 0, 2/5, 2
Let b(a) be the first derivative of -3/20*a**4 + 0*a - 105 - a**3 + 0*a**2. Suppose b(i) = 0. What is i?
-5, 0
Let p be ((-31)/(-2) - (-329670)/(-21780))*(110/36)/5. Suppose -2*s**3 - 16/3*s**2 - p*s**4 - 32/9*s + 0 = 0. What is s?
-4, -1, 0
Suppose -x + 4 = 3*f, -5*x = -3*f - 7*x + 8. Factor -3*p**4 + 15*p + 208 - 101 + 9*p**2 + p**3 - 4*p**3 - 101 + f*p**3.
-3*(p - 2)*(p + 1)**3
Let g(h) = -h**2 - 50*h - 273. Let a be g(-42). Factor 78*s**2 + 9*s**3 + a*s**2 - 12*s**4 - 12*s + 3*s**5 - 129*s**2.
3*s*(s - 2)**2*(s - 1)*(s + 1)
Let l(r) be the second derivative of -r**4/72 + 1171*r**3/9 - 1371241*r**2/3 - 1831*r. What is f in l(f) = 0?
2342
Let r be -33 - (6 - 6925/175). Factor -1/7*k**3 + 11/7*k + 6/7 + r*k**2.
-(k - 6)*(k + 1)**2/7
Let d(n) be the first derivative of -3/2*n - 1/2*n**3 - 3/2*n**2 - 57. Let d(o) = 0. Calculate o.
-1
Let v(j) be the second derivative of j**5/40 - 5*j**4/12 - 7*j**3/12 + 49*j**2 - 26*j + 2. Let v(h) = 0. Calculate h.
-4, 7
Suppose -600*m**2 - 63/2*m**4 - 3/4*m**5 - 360*m**3 + 0 + 0*m = 0. Calculate m.
-20, -2, 0
Let s be (7 - 1926/279)*(133 + -102). Factor 0*d - 20/11*d**s - 18/11*d**2 + 0 - 2/11*d**4.
-2*d**2*(d + 1)*(d + 9)/11
Suppose 500/9 + 502/9*d + 2/9*d**2 = 0. Calculate d.
-250, -1
Let q(f) be the third derivative of f**7/210 + 2*f**6/45 - f**5/6 - 61*f**3/6 - 102*f**2. Let n(c) be the first derivative of q(c). Factor n(g).
4*g*(g - 1)*(g + 5)
Let w(q) = 15*q**3 - 2877*q**2 + 506951*q - 504078. Let y(v) = 11*v**3 - 2157*v**2 + 380213*v - 378059. Let g(b) = -8*w(b) + 11*y(b). Factor g(p).
(p - 355)**2*(p - 1)
Suppose 10*i - 1506 - 924 = 0. Suppose -33*o - 5*o**2 - 300 + i*o**3 - 207*o - 246*o**3 + 62*o**2 = 0. What is o?
-1, 10
Let w(k) = 13*k - 3. Let g be w(2). Let v = -23 + g. Factor 5*t**3 - 4*t**3 - 8*t**2 + 8*t + v*t**3 + t**3.
2*t*(t - 2)**2
Let r = -2330206/5 + 466046. Determine y, given that -r*y**2 - 18/5*y**4 + 8/5*y + 0 - 10*y**3 = 0.
-2, -1, 0, 2/9
Let t be -1418 + 1387 - (-233)/7. Factor -4/7*n**3 - 4/7*n**5 + 32/7 + t*n**4 - 40/7*n**2 + 16/7*n.
-4*(n - 2)**3*(n + 1)**2/7
Let y be (-17 + (-5908)/(-350))*5/(-3). Let i(t) be the second derivative of -20*t + y*t**5 + 0 - 2/3*t**3 + 0*t**4 + 0*t**2. Solve i(j) = 0.
-1, 0, 1
Let v(d) = -4*d + 22. Let z = 46 + -41. Let q be v(z). Find f, given that -11*f**3 + 0*f**q - 6*f**2 + 14*f**3 = 0.
0, 2
Let g(n) = 3*n**2 + 33*n + 2. Let f be g(-11). Factor 3 - 7*d**f + 78 - 27*d - 2*d**2 + 3*d**3.
3*(d - 3)**2*(d + 3)
Let s = -603 + 625. Let k be s/(-6) - -4*(6 + -5). Factor 0 - 5/3*v**2 - v**3 - 2/3*v + k*v**4 + 1/3*v**5.
v*(v - 2)*(v + 1)**3/3
Let v(y) be the third derivative of -10*y**2 + 0*y**3 - 7/390*y**5 + 0*y + 1/780*y**6 + 0 + 0*y**4. Determine k, given that v(k) = 0.
0, 7
Let x = 852 + -888. Let l be (-34)/(-66) + (-3 - -15)/x. Find w such that l*w**2 - 6/11*w + 4/11 = 0.
1, 2
Suppose -13*w**2 + 2*w**3 + 20 - 38*w + 15*w**2 + 5*w**2 + 9*w**2 = 0. Calculate w.
-10, 1
Let b(s) = -2*s**2 - 11*s + 222. Let d be b(8). Let o(v) be the first derivative of 0*v - 10/3*v**3 + 0*v**4 + 15 + 2*v**5 - 5/6*v**d + 5/2*v**2. Factor o(c).
-5*c*(c - 1)**3*(c + 1)
Let k = 4899 - 4897. Suppose 5/7*m - 1/7*m**k + 6/7 = 0. What is m?
-1, 6
Suppose -3*w + 0*w = 0. Suppose 7*a - 14 = -w*a. What is u in 6*u**4 - 23*u + 3 - 12*u**a + 21*u**3 + 27*u**2 + 2*u - 24*u**4 = 0?
-1, 1/6, 1
Let r = -68 + 88. Suppose -2*x - 2 = 6, -r = 3*k + 5*x. Find d, given that -2/3*d**4 + k - 4/3*d**3 + 4/3*d + 2/3*d**2 = 0.
-2, -1, 0, 1
Let r(y) = -3*y**2 - 25*y - 50. Let n = -522 - -517. Let i be r(n). Suppose 1/2 + i*b - 1/2*b**2 = 0. What is b?
-1, 1
Let q be 11/(-2)*(1 - 0)*-2. Let f(r) = -r**3 + 11*r**2 + r - 9. Let k be f(q). Factor -3*a - 5*a - 4*a**2 + 17*a**2 - 9*a**k.
4*a*(a - 2)
Let o(i) = -37*i**2 + 147*i - 85. Let r(l) = 3*l**2 - 12*l + 7. Let a(b) = -6*o(b) - 75*r(b). What is j in a(j) = 0?
1, 5
Let q(h) be the second derivative of 1/3*h**4 - 1/14*h**7 + 1 - 43*h - 11/30*h**6 + 0*h**2 + 0*h**3 - 2/5*h**5. Let q(v) = 0. Calculate v.
-2, 0, 1/3
Let h(p) be the second derivative of p**5/5 + 345*p**4 + 238050*p**3 + 82127250*p**2 + 95*p + 1. What is q in h(q) = 0?
-345
Let m(y) = -3 + 7*y + y**2 - 5*y**2 + y**3 - 6 - 2*y. Let p be m(4). Factor -9 - 3*a**2 - 8 - 9*a + p.
-3*(a + 1)*(a + 2)
Suppose -21976/3*c - 4/3*c**2 - 30184036/3 = 0. What is c?
-2747
Let n(u) = -4*u**2 - 8*u. Let s be n(-1). Factor 429*t**3 - s*t**4 + 7 + 2*t - 6*t**2 - 439*t**3 - 5.
-2*(t + 1)**3*(2*t - 1)
Suppose -16*s**5 + 19*s**5 + 22496*s - 5776 + 28844*s**2 + 1008*s**2 + 17*s**5 + 10172*s**3 + 836*s**4 = 0. What is s?
-19, -2, 1/5
Let z(h) be the second derivative of -h**4/72 + 19*h**3/9 - 115*h**2 - 10012*h. Factor z(j).
-(j - 46)*(j - 30)/6
Let k(y) be the third derivative of y**7/280 + 11*y**6/80 + 13*y**5/10 + 4*y**4 + 7*y**2 + 168. Solve k(j) = 0.
-16, -4, -2, 0
Let q(k) be the third derivative of k**8/560 + 2*k**7