n*i**3 - 2*i**2 + 2/3*i = 0. What is i?
-3, -1, 1
Let a(v) be the third derivative of -v**6/180 + v**5/90 + v**4/4 - v**3 - 1213*v**2. Find d such that a(d) = 0.
-3, 1, 3
Let n(j) be the second derivative of -1/75*j**6 - 4*j + 2/5*j**4 + 2/25*j**5 + 0*j**3 + 3 + 0*j**2. What is q in n(q) = 0?
-2, 0, 6
Let a be (9/(-2) - 0)*(960/(-432))/20. Let b(k) = -k + 7. Let t be b(5). Factor -y + 0 - a*y**t.
-y*(y + 2)/2
Let a = 163918 + -98285. Find i, given that -i**5 - a*i + 65648*i + 4 + 7*i**3 + 20*i**2 + 3*i**3 = 0.
-1, 4
Let i(n) = 4*n + 115. Let k be i(-20). Suppose 10*o = k*o - 75. Determine x so that -3/2*x**2 - o*x + 3/2*x**3 + 0 = 0.
-1, 0, 2
Let v(a) = -a**2 + 23*a - 34. Let q be v(16). Suppose u + q = 4*u. What is o in -44 + 29*o**2 - 4*o**3 - o - 11*o**2 + 5*o + u*o**2 = 0?
-1, 1, 11
Let d(j) be the first derivative of 4*j**3/3 - 1776*j**2 + 788544*j + 228. What is r in d(r) = 0?
444
Let i(x) be the first derivative of -x**5/20 - 9*x**4/8 - 85*x**3/12 - 9*x**2 + 44*x - 2440. Suppose i(h) = 0. Calculate h.
-11, -4, 1
Factor -4/7*h**4 - 131016/7*h**2 - 13112724/7 + 1248/7*h**3 + 678976*h.
-4*(h - 103)**3*(h - 3)/7
Let j(q) = 751*q - 12767. Let s be j(17). Find k such that -1/4*k**4 + 0 + 0*k**3 + s*k**2 + 0*k = 0.
0
Let l(r) be the first derivative of -2/25*r**5 - 9/10*r**4 + 0*r - 16/5*r**2 - 103 - 16/5*r**3. Solve l(q) = 0 for q.
-4, -1, 0
Let u = -823513/2 + 411758. Suppose 36 - 69/2*y - u*y**2 = 0. What is y?
-24, 1
Let b(s) be the first derivative of -s**4/38 + 98*s**3/57 - 592*s**2/19 + 4224*s/19 + 7115. Factor b(r).
-2*(r - 33)*(r - 8)**2/19
Let b(f) = 7*f**2 + 222*f - 169. Let l(t) = 11*t**2 + 333*t - 248. Let c(j) = -8*b(j) + 5*l(j). Determine a so that c(a) = 0.
-112, 1
Suppose 9*q + 8 = 35. Let g(c) = -2*c**3 - 2*c**2 + c - 2. Let w be g(-2). Find y such that 9*y**2 + 8 - 28*y - 8 - 33*y**2 + w*y**q = 0.
-1, 0, 7
Let b(z) be the second derivative of 2/11*z**2 + 1/33*z**3 - 235*z + 0 - 1/66*z**4. Factor b(p).
-2*(p - 2)*(p + 1)/11
Let t(y) = -81*y - 69. Let v be t(2). Let g be (40/15 + -4)*v/418. Solve 2/19*n**2 + g - 16/19*n = 0.
1, 7
Let r be (-34)/(-6) + -3 - (-8)/24. Factor 26*j**r - 31*j**3 + 0*j**3 - j**4.
-j**3*(j + 5)
Let d = 2 + 5. Let c(p) = -3*p**2 - 4*p - 1. Let m(v) be the first derivative of 2*v**3/3 + v**2 + 1184. Let r(o) = d*m(o) + 3*c(o). Factor r(b).
(b + 1)*(5*b - 3)
Let q(p) = p**2 - 12*p - 1. Let l(s) = -s**2 + 22*s + 3. Suppose -22 = 2*i + g, -4*i - 25 - 9 = -3*g. Let m(v) = i*q(v) - 6*l(v). Suppose m(n) = 0. What is n?
-2, -1
Let g(w) be the first derivative of -1/25*w**5 - 1/30*w**6 + 1/10*w**4 + 0*w - 57 + 0*w**2 + 0*w**3. Factor g(u).
-u**3*(u - 1)*(u + 2)/5
Let q(j) be the second derivative of -j**7/56 - j**6/5 + 27*j**5/10 - 10*j**4 + 14*j**3 - 17*j + 3. Determine p so that q(p) = 0.
-14, 0, 2
Let d = -477 + 479. Find j, given that j**2 + 8 + 0*j + 7*j + 5*j - j**3 - d*j = 0.
-2, -1, 4
Let b(p) be the second derivative of 1 - 133*p - 200*p**2 + 7/3*p**4 - 232*p**3. What is z in b(z) = 0?
-2/7, 50
Let c(o) be the first derivative of 7*o**4 - 48*o**3 + 66*o**2 - 16*o - 7655. Determine w so that c(w) = 0.
1/7, 1, 4
Let f be ((-44)/(-66))/(20/(-30))*(-2)/6. Determine p, given that -f*p**5 - 1/3*p - 1 - p**4 + 2*p**2 + 2/3*p**3 = 0.
-3, -1, 1
Let g = -1 + 5. Let q(u) = u + 11. Let n be q(-7). Factor p**n + 4*p - 15*p**2 + 5*p**4 - p**g + 6*p.
5*p*(p - 1)**2*(p + 2)
Let j be 4/5 - (-684)/20. Factor -w**2 - j + 12 + 6*w + 14.
-(w - 3)**2
Suppose 0 = 4*y - 1418 + 2809 - 1407. Solve 177/2*j**2 - 132*j**5 + 3/2 + 447/4*j**3 + 81/4*j - 90*j**y = 0.
-1, -1/4, -2/11, 1
Factor 1/6*q**4 + 16/3*q**3 - 16/3*q + 11/2 - 17/3*q**2.
(q - 1)**2*(q + 1)*(q + 33)/6
Let s(c) be the second derivative of -c**7/42 + 13*c**6/5 - 151*c**5/20 - 13*c**4/2 + 76*c**3/3 + 7068*c. Find u such that s(u) = 0.
-1, 0, 1, 2, 76
Suppose -5*u - 1890 = t, 14*t - 15*t = u + 378. Let y be ((-12)/22)/(u/(-99) + -4). Factor 2/5*b - 2/5*b**y - 2/5*b**2 + 2/5.
-2*(b - 1)*(b + 1)**2/5
Factor 1041/2*o + 3/4*o**2 + 361227/4.
3*(o + 347)**2/4
Let q(j) be the second derivative of -j**5/90 + 17*j**4/54 + 226*j**3/27 + 208*j**2/9 - 66*j - 3. Find k, given that q(k) = 0.
-8, -1, 26
Let u be 40/22 - 6/429*-13. Let s(q) be the first derivative of 0*q**u + 10/3*q**3 - 5/4*q**4 + 0*q - 2*q**5 - 16 + 5/6*q**6. Factor s(i).
5*i**2*(i - 2)*(i - 1)*(i + 1)
Let w(f) be the second derivative of 12*f**5/35 - 33*f**4/28 + 9*f**3/7 - 3*f**2/14 + 1457*f. Let w(o) = 0. Calculate o.
1/16, 1
Let z(v) be the third derivative of v**7/105 - 11*v**6/15 + 263*v**5/15 - 77*v**4 + 147*v**3 + 893*v**2. Solve z(u) = 0.
1, 21
Let n(p) be the third derivative of -1/7*p**4 + 13/420*p**5 - 2*p**2 + 23/280*p**6 + 18 + 0*p + 2/105*p**7 + 2/21*p**3. Find l such that n(l) = 0.
-2, -1, 1/4, 2/7
Let n(a) = -a**2 + 11*a + 29. Let d be n(13). Let u be (-171)/45 + d*(-8)/(-6). Let 0 - 2/5*v**3 + 0*v**2 + 1/5*v**5 + 0*v**4 + u*v = 0. What is v?
-1, 0, 1
Let v = 293/116 - 66/29. Let g(f) be the second derivative of v*f**5 - 11*f + 0*f**6 - 5/42*f**7 + 0 + 0*f**2 + 0*f**4 + 0*f**3. Find k such that g(k) = 0.
-1, 0, 1
Factor -57/7*n**3 + 18/7 + 117/7*n**2 - 83/7*n + 5/7*n**4.
(n - 9)*(n - 1)**2*(5*n - 2)/7
Let s(a) be the first derivative of -3*a**4/16 + 218*a**3 - 2613*a**2/8 + 3767. Factor s(g).
-3*g*(g - 871)*(g - 1)/4
Let i(u) be the first derivative of -2*u**3/9 - 227*u**2/3 - 452*u/3 - 2103. Factor i(m).
-2*(m + 1)*(m + 226)/3
Let n be 92/16 + 30/(-40). Determine i, given that -n*i - 2*i + 132*i**2 - 269*i**2 + 138*i**2 = 0.
0, 7
Find m such that 36/5*m + 2/15*m**3 + 48/5 + 26/15*m**2 = 0.
-6, -4, -3
Let p = 691307 - 691305. Factor p*j + 0 + 2/5*j**2.
2*j*(j + 5)/5
Let g(t) be the first derivative of -t**5 + 15*t**4/4 + 15*t**3 + 25*t**2/2 + 1002. Factor g(r).
-5*r*(r - 5)*(r + 1)**2
Suppose -34*g**3 - 12*g**4 + 19*g - 104041*g**2 + 104053*g**2 + 13*g + 2*g**5 = 0. What is g?
-2, -1, 0, 1, 8
Suppose 0 = 4*q + f - 4, 0 = -3*q + f + 10. Let s be (-6 - -4 - -2) + q. Determine y, given that -42*y + 10*y - 27 - 147*y**s - 44*y - 50*y = 0.
-3/7
Let s(p) be the first derivative of 39/2*p**2 - 96 - p**3 + 42*p. Find w, given that s(w) = 0.
-1, 14
Let d(s) be the first derivative of -4*s**5 + 225*s**4/4 + 20*s**3/3 - 225*s**2/2 - 85. Let d(h) = 0. Calculate h.
-1, 0, 1, 45/4
What is s in 126736 + 3/2*s**3 - 1067*s**2 + 189392*s = 0?
-2/3, 356
Let k(x) be the third derivative of -3*x**5/20 - x**4/2 + 7*x**3/2 - 3*x**2. Let v(d) = d**2 + 2*d - 2. Let u(z) = -3*k(z) - 24*v(z). Find f such that u(f) = 0.
-1, 5
Let f be -71 + -13 + (-16590)/(-195). Suppose 16/13*r + 2/13*r**2 + f = 0. What is r?
-7, -1
Let a(r) = 2700*r**3 + 7698*r**2 - 1110*r + 57. Let q(j) = -675*j**3 - 1925*j**2 + 277*j - 14. Let y(k) = 5*a(k) + 21*q(k). Solve y(s) = 0.
-3, 1/15
Let y be (-62187)/152 - 2/(-16). Let r = -407 - y. Find t, given that 3/7*t**5 - 36/7*t + 12/7 - 9/7*t**4 + 33/7*t**r - 3/7*t**3 = 0.
-2, 1, 2
Let a(o) be the second derivative of -1/3*o**3 - 2*o + 3/2*o**2 - 1/90*o**6 + 1/10*o**5 - 2/9*o**4 - 30. Suppose a(q) = 0. What is q?
-1, 1, 3
Let x(t) = t**3 - 41*t**2 + 82*t - 116. Let v be x(39). Let y be ((-64)/v)/((-16)/64). Factor 2/5*k**2 + 16/5*k + y.
2*(k + 4)**2/5
Let g be ((-2)/3)/((-5)/45*263). Let z = 496/1315 + g. Find c such that -1/5*c**2 + z + 3/5*c**3 - 1/5*c**4 - 3/5*c = 0.
-1, 1, 2
Let m(d) be the first derivative of 26/3*d**3 - 1/4*d**4 + 0*d + 99 + 27/2*d**2. Factor m(o).
-o*(o - 27)*(o + 1)
Let k = -36859 - -36864. Solve -38/3*h - 4/3 + 47/6*h**3 + 427/6*h**4 - 98/3*h**k - 97/3*h**2 = 0.
-2/7, -1/4, 1, 2
Let j = -396 + 396. Let t = -4/23 - -122/437. Factor -6/19*m**3 - t*m**5 - 2/19*m**2 - 6/19*m**4 + j*m + 0.
-2*m**2*(m + 1)**3/19
Find i, given that 730*i + 33*i**4 - 535*i**3 + 49*i**4 - 268*i**3 - 480 + 225*i**2 + 173*i**4 - 5*i**5 + 78*i**3 = 0.
-1, 1, 2, 48
Factor -19/2*q**2 + 79/4*q - 10 - 1/4*q**3.
-(q - 1)**2*(q + 40)/4
Let j(a) be the second derivative of -a**6/60 - 2*a**5/35 - a**4/28 + 2*a**3/21 - 83*a**2/2 - 23*a. Let s(y) be the first derivative of j(y). Factor s(q).
-2*(q + 1)**2*(7*q - 2)/7
Let g(r) be the third derivative of r**6/60 + 2021*r**5/30 - 208*r**2 - r + 4. Suppose g(p) = 0. What is p?
-2021, 0
Find d such that 325*d**2 - 48*d - 75*d - 36 - 3*d**3 - 361*d**2 - 54 = 0.
-6, -5