/9
Let v = -9 - -14. Suppose -12*m**2 - 8*m**3 - 4*m**4 + 28*m**3 - 3*m**5 + m**5 - 2*m**v = 0. Calculate m.
-3, 0, 1
Let f be ((-4)/10)/(1/10). Let o(x) = -4*x - 14. Let m be o(f). Let -98*z**4 - 27*z**3 - 8*z + 4*z**2 + 3*z**m - 15*z**3 + 41*z**2 = 0. Calculate z.
-1, 0, 2/7
Factor 161/2 + 7/4*r**2 - 1129/4*r.
(r - 161)*(7*r - 2)/4
Suppose 0 = 410*k - 16631 + 14581. Determine v, given that 0 + 5/4*v**3 - 3/2*v**4 + 0*v + 0*v**2 + 1/4*v**k = 0.
0, 1, 5
Let s(f) = -5*f**4 - 34*f**3 + 44*f**2 + 34*f - 39. Let t(b) = -4*b**4 - 36*b**3 + 44*b**2 + 36*b - 40. Let n(c) = -4*s(c) + 6*t(c). Factor n(m).
-4*(m - 1)**2*(m + 1)*(m + 21)
Let r(z) be the second derivative of -z**6/150 - 9*z**5/50 - 27*z**4/20 - 56*z**3/15 - 24*z**2/5 - 1952*z. Factor r(q).
-(q + 1)**2*(q + 4)*(q + 12)/5
Factor -432/11*k**2 + 108/11*k**3 + 0*k - 1/11*k**5 + 0*k**4 + 0.
-k**2*(k - 6)**2*(k + 12)/11
Let r(g) = g**3 + 5*g**2 + 6*g + 6. Let j be r(-3). Suppose -33*s + 30*s = -j. Solve -w**2 - 197 - s*w**2 + 5 - 48*w = 0.
-8
Let v(r) be the first derivative of -2*r**3/45 - 562*r**2/15 - 374*r/5 + 4905. Factor v(a).
-2*(a + 1)*(a + 561)/15
Let 23*q**2 + q**4 - 86 - 36 - 12*q**3 + 19*q**2 + 42 - 24*q + q**2 = 0. Calculate q.
-1, 4, 5
Let w(j) = -2*j**3 + 27*j**2 - 19*j + 4. Let q(p) = -15*p**3 + 10 + 53*p**2 + 11*p**3 - 28*p - 11*p - 1. Let c(f) = -4*q(f) + 9*w(f). Factor c(l).
-l*(l - 15)*(2*l - 1)
Let u(a) be the third derivative of 5*a**8/3024 + 4*a**7/105 + 37*a**6/270 + 4*a**5/45 - 566*a**2 - a. Solve u(l) = 0 for l.
-12, -2, -2/5, 0
Let 18/11*o**3 + 1114/11*o**2 + 2036/11*o - 240/11 = 0. What is o?
-60, -2, 1/9
Let h(b) be the second derivative of -b - 1/28*b**7 + 21/40*b**5 + 0*b**3 + 0*b**2 - 67 + 0*b**4 + 3/10*b**6. Factor h(l).
-3*l**3*(l - 7)*(l + 1)/2
Let j be ((-783)/58)/(3/(-4)). Suppose 16 = -2*y - 31*q + 27*q, 4*y - j = 2*q. Factor 1/3*i**4 - 1/3*i**3 + 0 + 4/3*i - 4/3*i**y.
i*(i - 2)*(i - 1)*(i + 2)/3
Factor 16/9*n**2 - 24 + 76/9*n.
4*(n - 2)*(4*n + 27)/9
Let -797*d**4 - 16*d**3 - 741*d**4 + 1537*d**4 - 11*d**3 + 345*d**2 + 10051*d = 0. What is d?
-23, 0, 19
Let f(r) = -2*r**3 + 14*r**2 - 4*r + 37. Let t be f(7). Let h = t - 7. Factor 3/4*i + 0*i**h + 1/2 - 1/4*i**3.
-(i - 2)*(i + 1)**2/4
Let x(t) = -2*t**3 + 168*t**2 - 309*t - 1554. Let z be x(82). Factor 9/2*s**3 + 3/8*s**z + 81/2*s + 243/8 + 81/4*s**2.
3*(s + 3)**4/8
Let c(h) be the second derivative of 5*h**4/36 + 335*h**3/9 + 665*h**2/6 + 323*h - 7. Factor c(m).
5*(m + 1)*(m + 133)/3
Let u = -120 - -120. Suppose u = 38*s - 44*s + 450. Factor -s*p + 36*p**3 + 345*p - 180*p**2 - 5*p**4 + 14*p**3 + 20 - 155.
-5*(p - 3)**3*(p - 1)
Let r(d) be the first derivative of d**3 - 117*d**2/2 + 324*d - 80. Find l, given that r(l) = 0.
3, 36
Suppose -19*b = -b - 72. Let v(h) be the second derivative of 0*h**3 - 7*h + 1/20*h**5 + 1/6*h**b + 0 + 0*h**2. Factor v(k).
k**2*(k + 2)
Let u = -5059 + 505901/100. Let o(b) be the second derivative of 0*b**2 + 0*b**4 - 1/105*b**7 + 0 + 1/150*b**6 + 14*b + 0*b**3 + u*b**5. What is w in o(w) = 0?
-1/2, 0, 1
Find s such that -2/11*s**4 + 32/11*s**2 + 2/11*s**3 - 32/11*s + 0 = 0.
-4, 0, 1, 4
Suppose 0 = -3299*t + 3270*t. Let i(s) be the second derivative of 2*s**4 + 6*s**3 + 1/5*s**5 + 14*s + t*s**2 + 0. Factor i(g).
4*g*(g + 3)**2
Let v(b) = 853*b + 134777. Let p be v(-158). Factor -2/7*o**p + 122/7*o + 62/7 + 58/7*o**2.
-2*(o - 31)*(o + 1)**2/7
Let d(i) be the third derivative of i**5/45 - 176*i**4/9 - 706*i**3/9 - 3*i**2 - 19. Suppose d(n) = 0. What is n?
-1, 353
Find j, given that -2*j**3 + 76 + 1006/5*j + 136/5*j**2 = 0.
-5, -2/5, 19
Suppose -289*l + 4315 = -294*l. Let f = 2593/3 + l. Factor 14/3*x**4 - 8/3*x**5 + 0 - f*x**3 + 0*x - 2/3*x**2.
-2*x**2*(x - 1)**2*(4*x + 1)/3
Let m be (-52)/52*1936/(-2). Let g = m + -2900/3. What is r in -2*r + g + 2/3*r**3 + 0*r**2 = 0?
-2, 1
Let p be (-36)/(-60) + (-3021)/5985. Let y(r) be the first derivative of -4/7*r**2 + 33 - 8/7*r + p*r**3 + 1/14*r**4. Suppose y(u) = 0. Calculate u.
-2, -1, 2
Factor -236/3*u**2 + 1/3*u**4 - 116/3*u**3 + 0*u + 0.
u**2*(u - 118)*(u + 2)/3
Let l = 7240/3 + -2408. Find c such that 16/3*c - 14/3*c**3 - 7/6*c**4 + l*c**2 + 5/6*c**5 - 8/3 = 0.
-2, -1, 2/5, 2
Solve 1 + 106*w + 92*w - 8413*w**2 + 8427*w**2 - 1 = 0.
-99/7, 0
Let h(r) be the second derivative of -7*r**5/5 + r**4 + 8*r**3/3 + 1099*r. Factor h(j).
-4*j*(j - 1)*(7*j + 4)
Let v(i) be the first derivative of 27270901*i**5/25 + 271803*i**4/10 + 1204*i**3/5 + 4*i**2/5 + 1548. Solve v(m) = 0.
-2/301, 0
Let l(w) = 444*w + 891. Let p be l(-2). Let q(h) be the first derivative of 0*h**p - 2 - 7/2*h**2 + 1/4*h**4 - 6*h. Let q(s) = 0. Calculate s.
-2, -1, 3
Let r = -4489 - -4521. Let i(l) be the first derivative of 40*l**2 + 7*l**4 - 24*l**3 - 11 - r*l - 4/5*l**5. Factor i(w).
-4*(w - 2)**3*(w - 1)
Let x(a) be the first derivative of a**2/2 + 136. Let b(g) = -3*g**2 - 181*g. Let u(o) = b(o) + 4*x(o). Let u(l) = 0. Calculate l.
-59, 0
Let j(c) = -2*c**3 + c**2 - 1. Let o be -2 - (4/(-1))/4. Let k be j(o). Solve 15*u + 6*u**k - 9 - 3*u**2 + 21 = 0.
-4, -1
Let k(g) be the second derivative of g**6/10 - 609*g**5/20 + 10403*g**4/4 - 10201*g**3/2 + 4035*g. Factor k(b).
3*b*(b - 101)**2*(b - 1)
Let g(s) be the first derivative of 0*s - 5/12*s**3 - 92 - 15/4*s**2. Solve g(l) = 0.
-6, 0
Let a(s) = -6*s**4 + 47*s**3 - 65*s**2 + 31*s - 5. Let l(n) = n**4 + 3*n**3 - 2*n**2 - 1. Let w(d) = -3*a(d) + 6*l(d). Let w(c) = 0. What is c?
1/8, 1, 3
Let i(z) = -129*z + 115. Let t be i(-9). Suppose 1254 + 3*x**3 - t - x**3 + 46*x - 26*x**2 = 0. Calculate x.
1, 11
Let s(y) = -2*y**3 - 206*y**2 - 1176*y - 1728. Let o(r) = 6*r**3 + 619*r**2 + 3531*r + 5184. Let w(m) = -4*o(m) - 14*s(m). Suppose w(p) = 0. Calculate p.
-96, -3
Let u(a) be the third derivative of a**6/60 + 11*a**5/5 - 70*a**4/3 - 28*a**2 + 2*a - 25. Determine q so that u(q) = 0.
-70, 0, 4
Let q(t) = 13*t**2 + 7*t - 28. Let p = 668 + -667. Let r(g) = 2*g**2 - 2*g - 2. Let b(v) = p*q(v) - 4*r(v). Let b(n) = 0. What is n?
-4, 1
Let t(v) be the second derivative of -v**7/42 - 5*v**6/6 - 143*v**5/20 - 119*v**4/12 + 2080*v. Factor t(i).
-i**2*(i + 1)*(i + 7)*(i + 17)
Factor -30*i**2 - 36*i + 48 + 3/2*i**5 + 39*i**3 - 27/2*i**4.
3*(i - 4)*(i - 2)**3*(i + 1)/2
Let q be ((-5940)/(-189))/10 - (-16)/(-14). Let r(z) be the first derivative of 25 - 2/27*z**3 + 8/9*z + 1/3*z**q. Factor r(d).
-2*(d - 4)*(d + 1)/9
Suppose -1/3*d**2 - 1000000/3 - 2000/3*d = 0. Calculate d.
-1000
Let w(d) = 17*d**3 + 72*d**2 - 32*d - 18. Let s(c) = -49*c**3 - 205*c**2 + 94*c + 55. Let y(l) = -6*s(l) - 17*w(l). Factor y(h).
(h - 2)*(h + 2)*(5*h + 6)
Suppose 104*h + 396 - 1020 = 0. Let a(y) be the first derivative of -4/5*y**5 + 1/3*y**h + 1/2*y**4 + 0*y + 0*y**3 + 0*y**2 + 41. Factor a(i).
2*i**3*(i - 1)**2
Factor 2*u**3 + 1638*u - 665 - 674*u**2 + 1014*u**2 - 952 - 363.
2*(u - 1)*(u + 6)*(u + 165)
Suppose -70 = 3*a - 10*p, -3*p + 583 - 562 = 3*a. Let a - 6/7*o**3 + 2/7*o**4 - 8/7*o**2 + 0*o = 0. Calculate o.
-1, 0, 4
Suppose -2*o = -4*b - 320, 3*o - 195 = 5*b + 287. Suppose 18*n + 23*n = o. Let 4/3*d - 2/3 - 4/3*d**3 + 0*d**2 + 2/3*d**n = 0. What is d?
-1, 1
Let g(a) be the second derivative of -1293*a**5/20 - a**4/4 - 593*a + 2. What is u in g(u) = 0?
-1/431, 0
Let v(z) be the first derivative of -z**4/2 - 124*z**3/3 + 193*z**2 - 260*z + 4327. Let v(t) = 0. Calculate t.
-65, 1, 2
Suppose 3*x = -5*h + 2*x - 30, x = -4*h - 25. Let n be (h/(-15) - 1)*(-7)/2. Factor n*l + 13/3*l**3 + 4/3*l**4 + 1/3 + 5*l**2.
(l + 1)**3*(4*l + 1)/3
Suppose 0 = -0*m + 5*m - 10. Let d be m - 0 - (-21 + 20). Factor 2*b + 4*b**2 + 3*b - d*b + 2*b**3.
2*b*(b + 1)**2
Let d = 1247 - 1245. Let h(b) be the second derivative of 0 + 1/180*b**6 + 1/6*b**d - 11*b + 1/120*b**5 - 1/36*b**3 - 1/24*b**4. Factor h(a).
(a - 1)**2*(a + 1)*(a + 2)/6
Suppose -6*i = 4*c - 54, 3*i - 766 = c - 730. Let k(n) be the third derivative of -i*n**2 - 5/8*n**4 - 1/20*n**5 + 0*n - 3*n**3 + 0. Factor k(g).
-3*(g + 2)*(g + 3)
Let n(d) be the third derivative of 0*d + 1/180*d**6 + 0 - 10/9*d**3 + 226*d**2 - 4/45*d**5 + 17/36*d**4. Let n(s) = 0. What is s?
1, 2, 5
Let 101/3*q + 1/3*q**2 - 206/3 = 0. Calculate q.
-103, 2
Let k(a) be the first derivative of a**4/36 - 4*a**3/9 + 7*a**2/6 - 28*a - 61. Let y(t) be the fi