 - 4*g - 5*g = 0. Calculate g.
-1, 1, 2
Let f(w) be the second derivative of -3*w**5/140 - 185*w**4/28 - 274*w**3/7 - 78*w**2 + 1566*w. Suppose f(v) = 0. Calculate v.
-182, -2, -1
Find s such that -111*s - 12321 - 1/4*s**2 = 0.
-222
Let g(d) be the second derivative of -5/3*d**3 + 1/84*d**7 + 1/15*d**6 - 2*d**2 - d - 7/12*d**4 + 1/40*d**5 + 10. Suppose g(k) = 0. What is k?
-2, -1, 2
Let f(l) = 7*l**3 - 1853*l**2 + 1859*l + 130. Let o(n) = -n**3 + 309*n**2 - 310*n - 20. Let m(d) = -6*f(d) - 39*o(d). Factor m(c).
-3*c*(c - 1)*(c + 312)
Let a = -91697/10 + 9171. Let g(n) be the second derivative of -n**3 + 0*n**2 - 1/5*n**6 - 18*n + 0 - 13/6*n**4 - a*n**5. Factor g(o).
-2*o*(o + 1)*(o + 3)*(3*o + 1)
Let q be 57/(1710/340) - (10 + -2). Factor 0 - 2/15*p**3 - q*p - 4/3*p**2.
-2*p*(p + 5)**2/15
Let g(x) = 9*x**3 - 12*x**2 - 543*x - 576. Let l(c) = -35*c**3 + 41*c**2 + 2172*c + 2303. Let q(b) = 23*g(b) + 6*l(b). Factor q(w).
-3*(w - 10)*(w + 1)*(w + 19)
Let n be 782/(-345) - 4/((-84)/49). Let k(p) be the first derivative of -1/5*p**2 - 1/5*p + 41 - n*p**3. Factor k(i).
-(i + 1)**2/5
Let b(i) be the first derivative of -11*i - 6*i**2 - 3/20*i**5 - 3/2*i**4 - 9/2*i**3 + 51. Let h(p) be the first derivative of b(p). Factor h(y).
-3*(y + 1)**2*(y + 4)
Let r be ((-4)/1)/(-1 - 0) + -1. Let m = -3 - -5. Factor -9*i**2 + 0*i + 4*i + i**m - 5*i**3 - 7*i**r.
-4*i*(i + 1)*(3*i - 1)
Let z(b) = -57*b**2 + 18976*b + 1667. Let w be z(333). Suppose -2/5*v**2 + 2*v + 0 + 2/5*v**4 - w*v**3 = 0. Calculate v.
-1, 0, 1, 5
Suppose -2*j = -d - 4, 5*d = -8*j + 13*j - 10. Suppose -b - 11*b = -d*b. Factor b*v - 1/4*v**4 + 0 + 3/2*v**2 + 1/4*v**3.
-v**2*(v - 3)*(v + 2)/4
Suppose -89 - 51 = -20*f. Let s be f + 470/(-70) - 19/(-7). Suppose 1/7*v**s - 5/7*v**2 + v - 3/7 = 0. What is v?
1, 3
Suppose 46*k - 100 = 36*k. Let i(x) be the first derivative of 5/4*x**4 + 0*x**3 - 29 - 15/2*x**2 - k*x. Find r, given that i(r) = 0.
-1, 2
Let s = 167 + -165. Suppose 33*v - 15 = 30*v, -5*n - 2*v + 25 = 0. What is q in -2/3*q**n + 6*q**s + 18 - 18*q = 0?
3
Factor 173056/5 + 1/5*a**2 - 832/5*a.
(a - 416)**2/5
Let d be 8/(-5*5/(-50)). Suppose 14 = 6*z - d. Let 0*s**2 - z*s**2 + 3*s**2 + 4*s**2 + 2 - 5*s + s**5 + 4*s**3 - 4*s**4 = 0. What is s?
-1, 1, 2
Let b(v) = 23792*v - 214123. Let f be b(9). Suppose 3*y**3 + 9/2*y**4 - 3/2*y - 9*y**2 - 3/2*y**f + 9/2 = 0. Calculate y.
-1, 1, 3
Let x(v) be the first derivative of -16*v**5/5 - 41*v**4 - 440*v**3/3 - 50*v**2 + 5262. Factor x(w).
-4*w*(w + 5)**2*(4*w + 1)
Let u(r) be the first derivative of -r**6/6 - 11*r**5/4 - 95*r**4/12 - 15*r**3/2 + 47*r + 54. Let g(w) be the first derivative of u(w). Factor g(c).
-5*c*(c + 1)**2*(c + 9)
Let c(q) be the third derivative of q**6/30 - 2*q**5/3 + 7*q**4/6 + 12*q**3 - 303*q**2. Factor c(t).
4*(t - 9)*(t - 2)*(t + 1)
Let z(j) be the third derivative of 0 + 0*j + 1/2*j**4 + 8/105*j**7 - 1/2*j**6 + 62*j**2 + 8/15*j**5 + 0*j**3. Factor z(p).
4*p*(p - 3)*(p - 1)*(4*p + 1)
Let k(q) be the first derivative of 0*q + 123 - 15/2*q**2 - 35/24*q**6 + 80/3*q**3 + 11*q**5 - 445/16*q**4. Solve k(z) = 0 for z.
0, 2/7, 1, 2, 3
Suppose 135*l - 131*l + 2*n - 106 = 0, 130 = 5*l + 5*n. Let p be (72/l)/(-4)*(-28)/3. What is x in -2/3*x**3 + 2*x**4 - 16/9 - 52/9*x**2 + p*x = 0?
-2, 2/3, 1
Suppose 28*g = 803 + 429. Let i be (-11)/(g/(-20)) + -2. Factor -2/9 - 1/3*d**i + 1/9*d**4 + 1/9*d**2 + 1/3*d.
(d - 2)*(d - 1)**2*(d + 1)/9
Let a(r) be the first derivative of -5/6*r**2 - 1/18*r**3 + 180 - 7/2*r. Determine q, given that a(q) = 0.
-7, -3
Let i(l) be the second derivative of -l**5/40 + 5*l**4/8 + 17*l**3/6 - 158*l. What is o in i(o) = 0?
-2, 0, 17
Suppose 3*s + 4*c - 2915 = 0, -22*s + 17*s = 5*c - 4850. Let m = s - 960. Find g such that 0*g - 2/3*g**m + 0 - 10/3*g**3 + 8/3*g**4 + 4/3*g**2 = 0.
0, 1, 2
Let p be 432/(-207) - -2 - ((-351)/69 - -3). Let q be 1 - ((-216)/78)/(-4). Factor -2/13*m**p - 2/13*m + q.
-2*(m - 1)*(m + 2)/13
Let m(a) be the third derivative of 7*a**7/120 + 5*a**6/24 + a**5/60 + 3*a**2 + 261. Factor m(x).
x**2*(x + 2)*(49*x + 2)/4
Let g be (-4 - (-3)/2)*-2. Suppose 4*y + g = 93. Solve 12*m**2 + y*m**2 - 54*m**2 + 18*m**2 = 0 for m.
0
Let n(l) = 3*l - 23. Let c be n(9). Let s be 57/2 + 12/(-8). Determine f, given that -8*f**4 - 5*f**3 - s*f**3 - 259*f**2 + 217*f**2 - 22*f - c = 0.
-2, -1, -1/2
Let a(w) = w**3 + 9*w**2 + 10*w - 23. Let p be a(-7). Let y(q) be the third derivative of 0*q + 10*q**2 + 1/48*q**4 + 0*q**3 - 1/120*q**p + 0. Factor y(r).
-r*(r - 1)/2
Let c = 23914 + -23911. Find z such that 0*z + 0 + z**c - z**2 - 1/4*z**4 = 0.
0, 2
Let c(j) = -59*j**3 + 119*j**2 + 538*j + 469. Let b(g) = 11*g**3 - 24*g**2 - 108*g - 94. Let q(m) = -33*b(m) - 6*c(m). Factor q(t).
-3*(t - 12)*(t + 2)*(3*t + 4)
Let s(x) be the first derivative of 56 + 3*x**2 + 4/3*x**3 - 4*x. Find y such that s(y) = 0.
-2, 1/2
Let v = -302048/3 + 100698. Solve 529/3 + v*r + 1/3*r**2 = 0 for r.
-23
Factor 0 + 6144/7*j**2 - 236/7*j**3 - 208/7*j.
-4*j*(j - 26)*(59*j - 2)/7
Let r(o) be the first derivative of 4/15*o**3 + 34/5*o**2 - 72/5*o + 65. Factor r(l).
4*(l - 1)*(l + 18)/5
Factor -2/5*x**2 + 198/5*x + 0.
-2*x*(x - 99)/5
Let j(d) = -4 - 2 - 2 - 4*d. Let k be j(-3). Factor 20*o**2 + 2*o**4 + 2*o**k - 2*o**4 + 3*o**4 + 20*o**3.
5*o**2*(o + 2)**2
Factor -2/3*l**5 - 26/3*l**3 + 8*l**2 + 4*l**4 - 8/3*l + 0.
-2*l*(l - 2)**2*(l - 1)**2/3
Factor -30*k + 3/2*k**3 - 57/2*k**2 + 0.
3*k*(k - 20)*(k + 1)/2
Let p(q) be the first derivative of q**4/4 + 2*q**3/3 - 5*q**2 - 6*q - 20. Let h be p(-4). Factor 5*f**4 - 5*f**h - 51 + 24 + 27.
5*f**2*(f - 1)*(f + 1)
Suppose 6*l + 0 = 12. Solve 466*a**3 - 465*a**3 + 12*a**4 - 12*a**l + 4*a + 2*a**5 + 2*a**5 = 0.
-2, 0, 1/2
Let s(p) = 16724*p**2 - 16746*p + 12. Let f(m) = -58533*m**2 + 58611*m - 42. Let y(g) = 5*f(g) + 18*s(g). Solve y(x) = 0 for x.
2/2789, 1
Factor -873*v**3 - 11016*v**2 + 437*v**3 - 36942*v**2 + 17*v**4 - 94612*v - 18*v**4 - 47089.
-(v + 1)**2*(v + 217)**2
Factor 2/5*f - 69/5*f**2 + 0 + 34/5*f**3.
f*(f - 2)*(34*f - 1)/5
Let p(d) be the third derivative of -d**7/1680 - d**6/320 + d**5/40 + 13*d**4/48 + d**3 + 205*d**2 - 3*d. Factor p(h).
-(h - 4)*(h + 2)**2*(h + 3)/8
Let n = -5/78034 - -5618483/546238. Let -2/7*z**3 - 26/7*z**2 - n*z + 0 = 0. Calculate z.
-9, -4, 0
Suppose 5*d - 33 = -j - 7, j - d = 2. Let v be 7 - (15/(-9))/(2/j). What is p in v*p**2 + 5*p**5 - 17/3*p + 2/3*p**3 + 2/3 - 38/3*p**4 = 0?
-1, 1/5, 1/3, 1, 2
Let f be 6/10*((-5)/27)/((-101)/1515). Let -2 + f*r + 1/3*r**2 = 0. Calculate r.
-6, 1
Factor 0*h - 82/7*h**3 + 0 + 12*h**2 - 2/7*h**4.
-2*h**2*(h - 1)*(h + 42)/7
Let y(s) be the first derivative of s**4/22 + 12*s**3/11 + 29*s**2/11 - 96*s/11 + 9451. What is j in y(j) = 0?
-16, -3, 1
Let y(n) be the third derivative of -n**7/70 + 607*n**6/10 - 1105347*n**5/10 + 223648543*n**4/2 - 135754665601*n**3/2 + 697*n**2 + 1. Factor y(d).
-3*(d - 607)**4
Suppose -7 = g, -3107*g + 14 = -5*x - 3109*g. Factor 9/8*t**4 + 3/8*t**3 - 1/8*t**2 + 0 + x*t + 5/8*t**5.
t**2*(t + 1)**2*(5*t - 1)/8
Let c(l) be the first derivative of 4*l**3/3 - 62*l**2 - 128*l + 2797. Find b, given that c(b) = 0.
-1, 32
Factor -579/2*l**2 + 3/4*l**3 + 0 - 582*l.
3*l*(l - 388)*(l + 2)/4
Let f = 8218 + -8215. Let h(c) be the third derivative of 0*c + 9/8*c**4 - 5/2*c**f + 0 - 3/20*c**5 - 1/40*c**6 + 24*c**2. Find x, given that h(x) = 0.
-5, 1
Let b(u) be the third derivative of -u**6/450 + u**5/25 - 4*u**4/15 - 89*u**3/6 - 11*u**2 + 2*u. Let f(w) be the first derivative of b(w). Factor f(i).
-4*(i - 4)*(i - 2)/5
Let w(x) be the first derivative of 4*x**3/3 - 82*x**2 + 456*x - 3362. Solve w(a) = 0 for a.
3, 38
Let v be (-1)/(12/9) - (-651)/(-12). Let n = v + 59. What is j in -6*j**4 - 5 + 5*j + 243*j**3 + j**n - 253*j**3 + 5*j**5 + 10*j**2 = 0?
-1, 1
Let l(x) be the first derivative of -3*x**2 - 40*x + 16. Let k be l(-20). Let -k*v**2 + 81*v**2 + 0*v - v = 0. What is v?
0, 1
Let f = -21028844324/2105 + 9989950. Let p = f + -1/421. Suppose p*k**2 + 0 - 1/5*k = 0. Calculate k.
0, 1
Factor -3/7*y**3 - 78/7*y**2 - 459/7*y + 0.
-3*y*(y + 9)*(y + 17)/7
Let j(k) be the third derivative of k**7/1470 - k**6/210 + k**5/70 - k**4/42 + 4*k**3 - 9*k**2. Let r(o) be the first derivative of j(o). Factor r(x).
4*(x - 1)**3/7
Let z(v) = 