 + 219)*(5*m + 2)/13
Let n(z) be the second derivative of -z**5/160 - 35*z**4/16 + 211*z**3/48 - 626*z. Solve n(j) = 0 for j.
-211, 0, 1
Let d be 13313/(-159)*19/38. Let u = -21/106 - d. Solve 1/3*c**3 + u + 25*c + 5*c**2 = 0.
-5
Let v(d) be the second derivative of -d**7/2520 + d**6/80 + 3*d**5/10 - 323*d**4/12 + 3*d - 10. Let l(u) be the third derivative of v(u). Factor l(y).
-(y - 12)*(y + 3)
Let h(q) = 12*q**3 + 5187*q**2 - 1114578*q - 1119654. Let a(u) = 5*u**3 + 2593*u**2 - 557288*u - 559832. Let b(t) = 9*a(t) - 4*h(t). Let b(v) = 0. What is v?
-1, 432
Suppose -152*m - 41 = -1105. Let g(x) be the first derivative of -12/5*x**2 + 1/5*x**3 + 21/5*x + m. Let g(o) = 0. Calculate o.
1, 7
Let j(o) = -2. Let d(h) = -15*h + 7*h + 4*h**2 - 4*h**2 - 5*h**2 - 11. Let c(m) = -d(m) + 4*j(m). Suppose c(n) = 0. What is n?
-1, -3/5
Let q = -826 + 831. Suppose -29*x + 5 = -2*h - 24*x, 0 = -q*h + 3*x + 16. Solve 13/5*k**3 + 1/5*k**h + 0 - 6/5*k**4 + 4/5*k - 12/5*k**2 = 0.
0, 1, 2
Let v = 46812 + -46810. Let a(s) be the second derivative of 1/26*s**4 + 10 + 0*s**2 + 2/39*s**3 - 1/26*s**5 - v*s. Find j such that a(j) = 0.
-2/5, 0, 1
Let q(p) be the first derivative of 10/3*p + 4/9*p**3 - 100 - 7/3*p**2. Suppose q(n) = 0. What is n?
1, 5/2
Let p(n) be the first derivative of 8*n**5/55 - 61*n**4/22 + 406*n**3/33 + 205*n**2/11 - 126*n/11 + 8459. Determine v so that p(v) = 0.
-1, 1/4, 7, 9
Factor 84480 + 23452*y - 9*y**3 - 45730*y - 51702*y + 5*y**3 - 1092*y**2 - 9404.
-4*(y - 1)*(y + 137)**2
Suppose -32062*f + 32059*f + 24 = 3*g, -g + 116 = -5*f. Find s, given that -76/3 + g*s - 2/3*s**2 = 0.
1, 38
Let m(n) be the third derivative of n**7/420 - 7*n**6/30 - n**5/30 + 14*n**4/3 - 6686*n**2 - n. Suppose m(r) = 0. Calculate r.
-2, 0, 2, 56
Let k(o) be the third derivative of 1/9*o**3 + 4*o**2 + 1/24*o**4 - 1/36*o**5 + 2 + 0*o. Factor k(y).
-(y - 1)*(5*y + 2)/3
Suppose 0 = 8*g + 26 - 10. Let p(z) = -z + 1. Let w(j) = 9*j + 13*j + 0*j - 2*j**2 - 12. Let y(d) = g*w(d) - 36*p(d). Factor y(o).
4*(o - 3)*(o + 1)
Let c = 890649 - 2671897/3. Factor -55*v - 60 - c*v**2 - 5/3*v**3.
-5*(v + 3)**2*(v + 4)/3
Let j = -69 - -73. Let n = -189 + 191. Determine f, given that 1233*f**4 + 3*f + 15*f**n + 15*f**3 + 2*f - 1228*f**j + 0*f = 0.
-1, 0
Let r be 11 - 2 - 4/1. Suppose 0 = r*q - 5 - 75. Factor 10*s**2 + 11*s**4 + 0*s**2 + 5*s**3 - q*s**4.
-5*s**2*(s - 2)*(s + 1)
Let h(g) be the second derivative of 3/20*g**5 - 9/2*g**2 - 1/4*g**4 - 5/2*g**3 + 27*g + 0. Find q such that h(q) = 0.
-1, 3
Find k, given that 69*k**4 + 494*k**2 + 416*k - 660*k**3 - 1056 - 4*k**5 + 248*k + 446*k**2 + 57*k**4 - 10*k**4 = 0.
-1, 1, 3, 4, 22
Suppose -132 = 438*f - 441*f. Let c be 13/3 - 8/f*22. Factor -c*b**2 - 2/3*b - 1/3.
-(b + 1)**2/3
Let h(x) be the third derivative of -x**5/140 - 4*x**4/7 + 184*x**2. Factor h(m).
-3*m*(m + 32)/7
Let g(v) be the first derivative of 64/5*v + 8/5*v**2 - 30 + 1/15*v**3. What is f in g(f) = 0?
-8
Let b(j) = -3*j**4 + 9*j**3 + 15*j**2 + 6*j. Let m = 45 - 42. Let i(d) = -2*d**4 - d**3. Let s(y) = m*i(y) - b(y). Let s(n) = 0. What is n?
-2, -1, 0
Let k(x) be the second derivative of -x**7/210 + 7*x**6/120 - 4*x**5/15 + x**4/2 - 71*x**2 + 18*x. Let t(c) be the first derivative of k(c). Factor t(l).
-l*(l - 3)*(l - 2)**2
Solve -78*g**3 - 144*g**3 - 45*g**4 + 6*g**5 - 220*g**3 + 2954*g**2 + 11*g**4 - 1764*g = 0 for g.
-9, 0, 2/3, 7
Let d = -371471/4 - -92885. Determine i, given that 3/4*i**4 - d*i**2 + 99/4*i + 9/4*i**3 - 21/2 = 0.
-7, 1, 2
Let w = 1252456/21 - 275527937/4620. Let h = -3/220 + w. Factor h*f**2 - 2/3*f**3 + 0 - 8/3*f.
-2*f*(f - 2)**2/3
Let c(b) = b**3 + 97*b**2 + 2243*b + 90. Let v be c(-59). Determine n so that -101/2*n**3 - 35*n**4 + v*n**2 + 4 + 49/2*n**5 + 26*n = 0.
-1, -2/7, 1, 2
Let b = 435 - 469. Let m be b/(-21) + (-6)/21. Let 28/9*l**2 - 20/9*l**4 - 8/9 + 4/3*l**3 - m*l = 0. Calculate l.
-1, -2/5, 1
Let l(b) be the first derivative of -5*b**4/18 - 92*b**3/9 - 79*b**2/9 + 12*b + 1076. Solve l(t) = 0 for t.
-27, -1, 2/5
Let n be (-243)/(-56) + (16650/240)/(-111). Factor n*d - 3/7*d**2 - 16/7.
-(d - 8)*(3*d - 2)/7
Let q(o) be the first derivative of 8*o**5/5 + 3*o**4 - 4*o**3 - 4*o**2 + 98. Determine k, given that q(k) = 0.
-2, -1/2, 0, 1
Let d(o) = o**3 - 6*o**2 - 22*o + 50. Let h be d(8). Factor -6*y**2 - 4291 - 3314 - 6*y**2 - 2*y**h + 9*y**2 - 390*y.
-5*(y + 39)**2
Let b(n) = -n**3 + n**2 + 27*n - 58. Let k be b(4). Let d(y) be the first derivative of -2/9*y**3 + 30 + 7/3*y**k - 4*y. Determine s so that d(s) = 0.
1, 6
Let o = 48179 + -136394751/2831. Let q = 5632/42465 - o. Factor 40/3 + 8/3*b + q*b**2.
2*(b + 10)**2/15
Let y = 37526 - 37523. Let v be 4/(((-6)/(-1))/1). Solve 0*z**4 + 0*z**2 + v*z**y - 1/3*z + 0 - 1/3*z**5 = 0.
-1, 0, 1
Let x(z) = 3*z - 28. Let k be x(10). Find m, given that 25*m**2 - 16*m - 2 + 12*m**3 - 17*m**2 + 2 - k*m**4 - 2*m**5 = 0.
-2, 0, 1, 2
Suppose 0 + 22/5*q + 2/5*q**2 = 0. Calculate q.
-11, 0
Let i(h) = h**2 - 2*h + 1. Let t be i(3). Suppose t*m - 9 = 7. Factor 4*j**3 + 0*j**3 + 22*j**2 - m*j**2 - 6*j**2.
4*j**2*(j + 3)
Let c(d) be the first derivative of -d**5/5 + 5*d**4/18 + 2*d**3/9 - d**2/3 - 55*d - 57. Let y(g) be the first derivative of c(g). Let y(z) = 0. What is z?
-1/2, 1/3, 1
Let a = 381086 + -381086. Find i such that 0*i**2 + 0*i**4 + a - 3/4*i**5 + 3/2*i**3 - 3/4*i = 0.
-1, 0, 1
Let o(f) = 119*f**2 + 10861*f + 5918682. Let v(t) = 25*t**2 + 2172*t + 1183736. Let z(g) = -4*o(g) + 19*v(g). Solve z(r) = 0.
-1088
Let z = -47 - -49. Let r(w) = -2*w**z - 4 + 7*w**2 + 3 - 4*w**2. Let q(j) = 4*j**3 + 25*j**2 + 48*j + 31. Let h(u) = -q(u) + r(u). Let h(y) = 0. Calculate y.
-2
Factor -17*q**2 - 18*q**3 - 1/2*q**4 + 18*q + 35/2.
-(q - 1)*(q + 1)**2*(q + 35)/2
Let u(b) be the third derivative of b**5/510 - 37*b**4/68 - 112*b**3/51 + 2218*b**2. Find o such that u(o) = 0.
-1, 112
Let q = -982 + 992. Suppose -q*f = -6*f - 8. Solve 0 + 0*r - 4/3*r**3 + 0*r**f + 4/3*r**4 - 1/3*r**5 = 0 for r.
0, 2
Let w be 82/26 - 3 - (-2826)/(-117). Let f be 3/((-18)/w) - 0. Determine q so that 23/2*q**2 + 1/4 - 5/2*q**3 + 125/4*q**5 - 175/4*q**f + 13/4*q = 0.
-1/5, 1
Let z(a) be the first derivative of -1/4*a**4 + 1/4*a + 1/20*a**5 + 1/2*a**3 - 1/2*a**2 - 94. Factor z(r).
(r - 1)**4/4
Let g(i) be the third derivative of i**6/30 - 56*i**5/15 + 55*i**4/6 - 860*i**2. Find m, given that g(m) = 0.
0, 1, 55
Let q(a) be the third derivative of -7/15*a**6 + 38/15*a**5 - 64/3*a**3 - 60*a**2 + 1/35*a**7 - 8/3*a**4 + 0 + 0*a. Let q(t) = 0. Calculate t.
-2/3, 2, 4
Let x(f) = -f**3 + 6*f**2 + 21*f - 36. Let j be x(8). Determine n, given that -4 + 5*n**4 + 10*n**2 - 18*n**3 + 33*n**3 + j = 0.
-2, -1, 0
Let q = -302238 + 2115670/7. Solve q*j**4 + 0*j - 2/7*j**3 - 4/7*j**2 + 2/7*j**5 + 0 = 0.
-2, -1, 0, 1
Let b(m) be the second derivative of -m**6/15 - 76*m**5/5 - 987*m**4 - 3600*m**3 + 16875*m**2 + 2512*m. Factor b(g).
-2*(g - 1)*(g + 3)*(g + 75)**2
Suppose -44*j - 4278 = -46*j. Let i = 2142 - j. Factor 7/5*p - 8/5*p**2 + 1/5*p**i + 0.
p*(p - 7)*(p - 1)/5
Let h be 34/5*(-30)/(-36). Let v be (-1)/6 + (-344)/(-16) + -20. Factor -3/2*k**2 + v + h*k.
-(k - 4)*(9*k + 2)/6
Find z such that 8 + 146/11*z**2 - 42/11*z**4 + 10/11*z**5 + 14/11*z**3 - 216/11*z = 0.
-2, 1, 2, 11/5
Determine m so that 3*m**5 + 1218*m**4 - 8*m**5 - 6640*m + 3400*m**2 - 569*m**4 + 2865*m**3 - 269*m**4 = 0.
-4, 0, 1, 83
Let i = 1898 + -1892. Let h(f) be the third derivative of 13*f**2 - 2/15*f**3 + 0*f + 1/12*f**4 + 1/300*f**i - 2/75*f**5 + 0. Determine n so that h(n) = 0.
1, 2
Let t = 821109 + -5747760/7. Factor t*b**2 + 54/7*b + 51/7.
3*(b + 1)*(b + 17)/7
Let l(f) be the third derivative of f**7/70 + 47*f**6/40 + 43*f**5/5 + 913*f**2. Find x, given that l(x) = 0.
-43, -4, 0
Let n(u) be the first derivative of 55 - 32/9*u - 16/9*u**4 - 112/27*u**3 - 16/3*u**2 - 1/27*u**6 - 2/5*u**5. What is k in n(k) = 0?
-2, -1
Let a(x) = 13*x**2 + 743*x + 117. Let u be a(-57). Let d(q) be the first derivative of 0*q - 4*q**2 - 7/2*q**4 - 32/3*q**u - 16. Solve d(w) = 0 for w.
-2, -2/7, 0
Let n(l) be the first derivative of -40/3*l**3 + 14*l**2 - 10*l**4 + 12*l + 28/5*l**5 + 2*l**6 - 58. What is f in n(f) = 0?
-3, -1, -1/3, 1
Let b(k) = -35*k**3 + 30325*k**2 - 20503115*k + 4613203105. Let s(v) = 11*