
Let n be ((-3111)/(-27))/1 + (-8)/36. Find m, given that 178*m**3 - 35 + n*m**2 - 5*m**4 + 105 - 163*m**3 + 165*m = 0.
-2, -1, 7
Let t = -122 + 131. Let v(z) = -3*z**3 + 153*z**2 - 132*z - 9. Let g(o) = o**3 - 38*o**2 + 33*o + 2. Let q(d) = t*g(d) + 2*v(d). Solve q(x) = 0.
0, 1, 11
Let f(w) be the first derivative of w**8/2352 + w**7/294 + w**6/140 - 37*w**2 + 170. Let u(c) be the second derivative of f(c). Factor u(q).
q**3*(q + 2)*(q + 3)/7
Suppose 100*i - 76 - 124 = 0. Find w such that 20*w + 0 + 20/3*w**i - 5/3*w**3 = 0.
-2, 0, 6
Let m**2 - 70*m**2 + 117*m**2 + 4*m**3 - 364*m - 408 = 0. Calculate m.
-17, -1, 6
Let s(y) be the first derivative of -y**4/14 - 444*y**3/7 + 2676*y**2/7 - 5360*y/7 + 2695. Factor s(k).
-2*(k - 2)**2*(k + 670)/7
Let o be (1936/(-132))/((-2)/(-9)). Let u be (-1)/(-4)*(o/(-9) + -6). Factor 5/6*l**2 - 1/3*l**3 + 0 - u*l.
-l*(l - 2)*(2*l - 1)/6
Let i(p) be the first derivative of 0*p**2 + 39*p + 19 + 0*p**3 + 1/12*p**4 - 1/140*p**5. Let c(k) be the first derivative of i(k). Find d, given that c(d) = 0.
0, 7
Let o = -2383406/65 - -183342/5. Determine u, given that -8/13*u + o*u**3 + 6/13*u**2 + 2/13*u**4 - 8/13 = 0.
-2, -1, 1
Let x be ((-8)/(-5))/(12 + 2*54/(-10)). Find d such that -1/6*d**2 - 7/6*d + x = 0.
-8, 1
Let v(z) = -8*z**4 + 6*z**3 + 719*z**2 + 2926*z - 8753. Let r(h) = -7*h**4 + 6*h**3 + 721*h**2 + 2924*h - 8752. Let y(o) = 5*r(o) - 4*v(o). Factor y(c).
-3*(c - 18)*(c - 2)*(c + 9)**2
Factor -205/4*c + 1/4*c**2 - 525/2.
(c - 210)*(c + 5)/4
Let p be 16 - 451/165*5. Let n(v) be the first derivative of 15/2*v**2 + 1/4*v**4 - 9*v + 20 - p*v**3. Factor n(y).
(y - 3)**2*(y - 1)
Let q(h) be the second derivative of -1/12*h**3 + 1/30*h**6 + 0*h**2 + 0 + 1/6*h**4 + 23*h - 1/8*h**5. Factor q(b).
b*(b - 1)**2*(2*b - 1)/2
Factor 62/5*w + 2/5*w**2 + 116/5.
2*(w + 2)*(w + 29)/5
Suppose -3*t = -5*l + 40, 8 - 43 = -3*l + 4*t. Suppose 0 = -l*y - 20, r + r = -5*y - 16. Factor -4/5*v**r - 3/5*v**3 + v + 2/5.
-(v - 1)*(v + 2)*(3*v + 1)/5
Let f(h) be the third derivative of -1/50*h**5 - 5*h**2 + 1/10*h**3 + 1/100*h**6 + 0 + 1/350*h**7 - 1/40*h**4 - h - 1/560*h**8. Factor f(y).
-3*(y - 1)**3*(y + 1)**2/5
Let x(c) be the first derivative of 20/3*c**3 - c**5 + 5/2*c**4 - 5*c**2 - 15*c - 45. What is j in x(j) = 0?
-1, 1, 3
Let i(r) be the third derivative of -24 + r**2 + 0*r**3 - 7/360*r**6 + 1/15*r**5 - 5/72*r**4 + 0*r. What is x in i(x) = 0?
0, 5/7, 1
Let p(k) be the second derivative of -k**7/5460 - 19*k**6/1170 - 361*k**5/780 - 14*k**3/3 - 39*k - 1. Let a(m) be the second derivative of p(m). Factor a(y).
-2*y*(y + 19)**2/13
Let x(a) = 2*a**3 + 43*a**2 + 100*a + 802. Let n be x(-20). Solve -1/5 + 3/10*s - 1/10*s**3 + 0*s**n = 0.
-2, 1
Suppose f - 5*w - 32 = 0, -5*f + w + 0*w = -40. Suppose -2*d - f = -51. Let -9*r**2 + 19*r**3 + 15*r**3 - 3*r**4 - d*r**3 = 0. Calculate r.
0, 1, 3
Find i, given that 690*i**2 - 3*i**4 - 61*i**3 - 612*i**2 + 28*i**3 = 0.
-13, 0, 2
Let p(k) = 120*k**2 - 23*k + 149. Let a(v) = -44*v**2 + 10*v - 74. Let h(q) = -5*a(q) - 2*p(q). Suppose h(s) = 0. Calculate s.
-2, 9/5
Let x = -44 + 46. Suppose 5*k = -0*k + 5. Let -4 + x*y**2 + 3 + k = 0. Calculate y.
0
Suppose 10*w + 1 + 49 = 0. Let v(f) = -2*f + 4. Let o be v(w). Solve -2*n**2 + 2 - o*n + 14*n = 0.
-1, 1
Let b = 3157 - 4587. Let x = b - -1432. Suppose -2/9*z + 2/9*z**3 + 0 + 0*z**x = 0. Calculate z.
-1, 0, 1
Suppose -111*g + 786*g = -168*g + 40464. Factor -74*o**2 - g*o - 56/3*o**3 + 49/3*o**4 - 9.
(o - 3)*(o + 1)*(7*o + 3)**2/3
Let f = 6/144857 - -289636/1883141. Factor f*t**2 + 800/13 + 80/13*t.
2*(t + 20)**2/13
Let a(f) be the third derivative of 0*f**4 - f**2 - 3/4*f**3 + 0 + 1/120*f**5 - 11*f. Factor a(j).
(j - 3)*(j + 3)/2
Let o be (-23)/((-920)/(-56)) - (-6102)/180. Factor -75/4 + o*l - 17*l**2 - 1/4*l**4 + 7/2*l**3.
-(l - 5)**2*(l - 3)*(l - 1)/4
Let q = 131 + -118. Let h(w) = -24*w**2 - 291*w + 11591. Let r(y) = -11*y**2 - 146*y + 5794. Let f(c) = q*r(c) - 6*h(c). Factor f(d).
(d - 76)**2
Let w(p) be the second derivative of p**4/3 - 8*p**3 + 54*p**2 - 276*p. Let w(y) = 0. What is y?
3, 9
Let a(w) = 2*w. Let x(t) = t**3 - 9*t + 1. Let l be x(-3). Let b be a(l). Determine c so that 2*c**2 - 64 - 61 - 75*c - c**3 - 17*c**b = 0.
-5
Let i(m) = -106*m**2 - 137*m - 18. Let h(y) = 53*y**2 + 74*y + 8. Let n(c) = -14*h(c) - 6*i(c). Factor n(j).
-2*(j + 2)*(53*j + 1)
Let m = 29491 + -29489. Let z(a) be the third derivative of -7/24*a**4 + 5/12*a**3 + 0*a + 0 + 1/120*a**6 + 26*a**m + 7/120*a**5. Let z(o) = 0. Calculate o.
-5, 1/2, 1
Find z, given that -69/4 + 1/8*z**2 - 137/8*z = 0.
-1, 138
Let l(m) = -6*m**2 + 8704*m + 9461154. Let i(o) = -4*o**2 + 8703*o + 9461178. Let r(t) = 4*i(t) - 3*l(t). Factor r(w).
2*(w + 2175)**2
Let p(h) = 2*h - 48. Let u be p(0). Let r = u + 54. Solve 108*m - 57*m - 3*m**5 + r*m**3 - 54*m = 0.
-1, 0, 1
Factor -461*h**2 + 857*h**2 - 3360 - 399*h**2 + 1686*h.
-3*(h - 560)*(h - 2)
Let p(i) be the first derivative of -i**6/12 - 113*i**5/15 + 193*i**4/12 + 4*i**3 - 383*i**2/12 + 77*i/3 - 3243. Solve p(f) = 0.
-77, -1, 2/3, 1
Let -42*m + 320*m**2 - 198*m**2 - 123*m**2 + 325*m + 100*m = 0. What is m?
0, 383
Suppose 124 = 4*d - 2*r + 6, -d = -4*r - 26. Suppose -5*o + d = o. Factor 2*l**o - 5*l**5 - 59*l + 59*l - 3*l**4.
-3*l**4*(l + 1)
Let k(h) be the first derivative of -26*h**3/7 + 89*h**2/7 - 100*h/7 - 2787. Solve k(w) = 0 for w.
1, 50/39
Let g(j) = -j**3 - 7*j**2 + 37*j + 202. Let f be g(-8). Let l be (52 + -37)*(-8)/f. Suppose 0 - 1/2*s**l + 3/2*s**2 + s**3 + 0*s = 0. What is s?
-1, 0, 3
Let l(u) be the first derivative of u**6/180 + u**5/10 + 2*u**4/3 - 104*u**3/3 - 100. Let j(h) be the third derivative of l(h). Find r, given that j(r) = 0.
-4, -2
Find p, given that 0 + 122/9*p**3 - 52/9*p**4 + 2/3*p**5 - 20/3*p**2 + 0*p = 0.
0, 2/3, 3, 5
Let u(d) be the third derivative of -d**6/300 + 31*d**5/150 + 44*d**4/15 + 48*d**3/5 + 742*d**2. Determine a, given that u(a) = 0.
-4, -1, 36
Let s = 34 + -33. Let f be (3 - s)/(2/12). Factor 16*x - 5 + f*x**2 - 16*x**3 + 4*x**4 - 3 - 8.
4*(x - 2)**2*(x - 1)*(x + 1)
Suppose -7 - 1 = -2*w. Determine b, given that -476 - 3*b - 100 - b**2 + 47*b + w*b = 0.
24
Let j(v) = 102*v**2 + 179*v - 535. Let o(b) = 41*b**2 + 89*b - 268. Let u(z) = 2*j(z) - 5*o(z). Factor u(y).
-(y - 3)*(y + 90)
Let y(q) be the first derivative of -q**5/140 + 9*q**4/56 + 5*q**3/7 + 2*q**2 + 2*q - 69. Let w(g) be the second derivative of y(g). Factor w(o).
-3*(o - 10)*(o + 1)/7
Suppose i + p + 2 = 2*i, 10 = 5*i - p. Suppose 0 = -65*k + 37 + 158. Suppose 2*c + i*c**k + 8*c - 12*c = 0. What is c?
-1, 0, 1
Let m be (4 + -4)/((-2)/(-1)). Let h be 28 + 8/(2 + m). Find k, given that 16 + 7*k**2 - h + 0*k**4 - k**5 + k**3 - 3*k**4 + 12 = 0.
-2, -1, 1
Suppose -4*k + 3*l = 21, -7*k + 5*k - 2*l = 0. Let b be 3/k - (-1)/(4/12). Factor 4/3 + 14/3*q + b*q**3 + 16/3*q**2.
2*(q + 1)**2*(3*q + 2)/3
Let n = 6137/124 - 17915/372. Let -3*s**3 - 22/3*s**2 + 8 + n*s + 1/3*s**5 + 2/3*s**4 = 0. What is s?
-2, 1, 3
Determine w so that 41/3*w**3 + 121/6*w**4 + 0*w + 0 - 1/2*w**5 + 0*w**2 = 0.
-2/3, 0, 41
Let t(l) be the third derivative of -l**5/240 - 47*l**4/24 - 2209*l**3/6 + 4280*l**2. Factor t(s).
-(s + 94)**2/4
Let t(x) = -50*x**2 - 115*x - 20. Let h(k) = -16*k**2 - 39*k - 6. Let f(p) = -10*h(p) + 3*t(p). Factor f(r).
5*r*(2*r + 9)
Let j(p) be the third derivative of -p**6/840 + 2*p**5/105 + p**4/168 - 4*p**3/21 - 2*p**2 - 153. Let j(g) = 0. Calculate g.
-1, 1, 8
Let u = -4537/2 - -2270. Let s(k) be the third derivative of -3/10*k**5 + 0 - u*k**4 - 1/40*k**6 - 4*k**3 + 0*k + 9*k**2. Find l, given that s(l) = 0.
-2
Let x(l) = -92*l**3 - 530*l**2 + 2452*l + 12128. Let c(q) = 21*q**3 + 118*q**2 - 545*q - 2695. Let j(i) = 44*c(i) + 10*x(i). Factor j(w).
4*(w - 15)**2*(w + 3)
Let q(v) be the third derivative of 0*v + 0*v**3 + 0 - 19*v**2 - 11/6*v**5 + 0*v**4 - 1/24*v**6. Factor q(u).
-5*u**2*(u + 22)
Let j = 24019 - 24019. Factor 10/3*t**3 + 2/3*t**4 + 2*t + 14/3*t**2 + j.
2*t*(t + 1)**2*(t + 3)/3
Let g(d) be the first derivative of d**4/16 + 5*d**3/4 + 19*d**2/4 - 36*d - 1636. Determine f, given that g(f) = 0.
-9, -8, 2
Let q(c) = -c**3 - c**2 - c. Let t(v) = 10*v**3 + 2*v**2 + 14*v - 2. Let f = -189 + 188. Let i(p) = f*t(p) - 8*q(p). Solve i(o) 