2*s - c*s**2 = 0.
-2, 1, 3
Let c(a) be the second derivative of -5*a**4/12 + 355*a**3/6 + 180*a**2 + 65*a - 7. Factor c(m).
-5*(m - 72)*(m + 1)
Let q(a) be the first derivative of -a**6/12 - 17*a**5/15 + 3*a**4/2 + 356*a**3/9 - 40*a**2 + 13042. Solve q(w) = 0 for w.
-10, -6, 0, 2/3, 4
Let x(b) be the first derivative of 7*b**4/6 - 1166*b**3/63 + 568*b**2/7 + 120*b/7 - 4722. Factor x(v).
2*(v - 6)**2*(49*v + 5)/21
Let p(t) = 35*t - 5. Let b be p(4). Factor -150*n**3 - 26*n**4 + 2*n**4 + b*n**2 - 11*n**4 + 50*n.
-5*n*(n - 1)*(n + 5)*(7*n + 2)
Factor -65 - 6*k**2 - 16 + 7*k**2 - 31 + 108*k + 3*k**2.
4*(k - 1)*(k + 28)
Let l(k) = -43 + 200*k**2 - 203*k**2 - 14. Let g(s) = -2*s**2 - s - 55. Let o(t) = -6*g(t) + 5*l(t). Factor o(x).
-3*(x - 5)*(x + 3)
Let -833*n**4 + 80 - 6*n**2 + 25*n**3 + 835*n**4 + 15*n**3 - 116*n = 0. Calculate n.
-20, -2, 1
Let o(t) = 2*t + 1. Let q(r) = r - 16. Let z be q(17). Let s be o(z). Suppose 4*f**2 + 6*f**s + 44*f**4 + 24*f**3 + 24*f**5 - 6*f**3 = 0. What is f?
-1, -1/2, -1/3, 0
Suppose 4*n - 14 = -3*n. Let d(b) = -b**2 + 8*b. Let t be d(6). What is g in g**3 + t*g**2 - 8*g**n + 3*g**3 = 0?
-1, 0
Let s = -3173/8 - -3177/8. Solve 3/2*d - 5/6 - s*d**2 - 1/6*d**3 = 0 for d.
-5, 1
Let j(o) = o**3 + 1759*o**2 - 1033701*o + 202262003. Let i(l) = l**3 - l**2 + 3*l. Let r(w) = -2*i(w) + j(w). Determine g so that r(g) = 0.
587
Let g(p) = -p**2 + 13*p - 9. Let a be g(12). Let s = -146 + 151. Find i such that -15*i**a - 3 - s*i**2 - 6*i + 3 + 5*i**4 + 21*i = 0.
-1, 0, 1, 3
Factor 8*h - 4232*h**2 + 14*h - 13*h**3 - 5*h**4 - 16 + 5*h**3 + 4235*h**2 + 4*h**4.
-(h - 1)**2*(h + 2)*(h + 8)
Let p be (-5)/((-4)/(-14) - 4/(336/164)). Solve -6*v**4 - 4*v**2 + 0*v + 2/5 + 8/5*v**5 + 8*v**p = 0.
-1/4, 1
Let k = -117 + 130. Factor -21*f + k*f + 14*f + 2*f**2.
2*f*(f + 3)
Let 54*u + 3/2*u**2 + 297/2 = 0. Calculate u.
-33, -3
Let s(j) = -j**2 - 17*j + 44. Let x be s(-20). Let g be (-54)/63*14/x. What is p in -9/2 + 3/4*p**2 - g*p = 0?
-2, 3
Let b(k) be the third derivative of -k**7/840 + 71*k**6/240 - 231*k**5/80 + 275*k**4/24 - 137*k**3/6 + 192*k**2 - 15. Suppose b(x) = 0. What is x?
1, 2, 137
Let q be 15/(-65) - 6641/(-27144). Let i(b) be the third derivative of 24*b**2 - 7/180*b**5 + 0*b + 0*b**3 + 0 + 1/12*b**4 - q*b**6. Factor i(u).
-u*(u + 2)*(5*u - 3)/3
Let t(j) = -j - 5. Let i be t(-9). Let y be 0/92*2/i. Determine p so that p**4 + 0 - 1/6*p**5 + y*p - 3/2*p**3 + 2/3*p**2 = 0.
0, 1, 4
Suppose x + 40 = 2*f - 4*f, -3*f - 78 = 2*x. Let m be (x/56 + 1)*(-12)/(-10). Let 54/7*g + 243/7 + m*g**2 = 0. What is g?
-9
Let v(h) = 20*h**2 + 60*h - 96. Let c(b) = 44*b**2 + 125*b - 192. Let z(j) = -4*c(j) + 9*v(j). Factor z(q).
4*(q - 2)*(q + 12)
Let p(u) = 34*u**4 + 30*u**3 - 130*u**2 + 270*u - 144. Let w(t) = -3*t**4 - t**2 - t. Let a(n) = -p(n) - 12*w(n). Factor a(g).
2*(g - 8)*(g - 3)**2*(g - 1)
Let k(o) be the third derivative of 8/195*o**5 - 131*o**2 + 0*o - 5/156*o**4 - 2/39*o**3 - 3/260*o**6 + 0. Determine n, given that k(n) = 0.
-2/9, 1
Let u = -14318 - -14322. Let o(w) be the second derivative of 21*w + 0 + 8/3*w**3 + 0*w**u - 1/15*w**5 - 32/3*w**2. Factor o(x).
-4*(x - 2)**2*(x + 4)/3
Let k(p) be the third derivative of 0 + 1/105*p**5 + 20/21*p**4 + 218*p**2 + 0*p + 800/21*p**3. What is h in k(h) = 0?
-20
Let j = 10670 - 10666. Let z(g) be the first derivative of 7/10*g**j - 2/25*g**5 + 8 - 16/5*g - 12/5*g**3 + 4*g**2. Let z(i) = 0. What is i?
1, 2
Let i be (18*2/(-10))/((-99)/(-27060)). Let t = i + 1971/2. Factor -9/2*d**2 + t*d**4 + 3 + 3/2*d**3 - 3/2*d.
3*(d - 1)**2*(d + 1)*(d + 2)/2
Let b be (2/(-3)*-5)/((-6)/(-9)). Suppose z = -b*j + 25, -2*z + 4 = -4*j + 24. Suppose 5/4*i**3 - 5/2*i**4 + 0*i + 5/4*i**5 + 0*i**2 + z = 0. What is i?
0, 1
Let m = 175715 - 175710. Factor 10/7*z**4 - 2/7*z**m + 2*z**2 - 4/7*z - 18/7*z**3 + 0.
-2*z*(z - 2)*(z - 1)**3/7
Factor -224 + 8*r**4 - r**4 + 66*r - 4*r**3 - 3*r**4 - 228*r**2 + 386*r.
4*(r - 7)*(r - 1)**2*(r + 8)
Let z(j) be the third derivative of 0 - 1/60*j**5 + 89*j**2 + 0*j + 0*j**4 + 0*j**3 + 1/240*j**6. Suppose z(l) = 0. Calculate l.
0, 2
Suppose 16*x - 3*x = 949. Determine v so that -84*v**2 + x*v + 19*v + 131*v**3 - 111*v**3 - 32 + 4*v**4 = 0.
-8, 1
Let r = -205 - -223. Let p(c) = -54*c**5 - 201*c**4 - 251*c**3 - 111*c**2 - 16*c. Let d(v) = v**4 + v**3 + v**2. Let l(i) = r*d(i) - 2*p(i). Solve l(z) = 0.
-2, -1, -2/3, -2/9, 0
Let w(u) be the first derivative of 8/13*u + 10/39*u**3 - 58 - 9/13*u**2. Find n, given that w(n) = 0.
4/5, 1
Suppose -3*d + 16 = 2*z, 10*d = 5*d - 5*z + 35. Suppose 0 = -4*v - 16, -2*a + 17 = -d*v + 5. Suppose -f**4 + 5108*f - 5108*f + f**a = 0. What is f?
-1, 0, 1
Let i = -84 + 83. Let m be 0 + -1 + (7 - 2/i). Determine s, given that -m*s**3 - 7*s**2 - 18*s**2 - 40*s + 3*s**3 + 0*s**3 - 20 = 0.
-2, -1
Factor -88/13 + 128/13*d - 38/13*d**2 - 2/13*d**3.
-2*(d - 2)*(d - 1)*(d + 22)/13
Let k(i) = -i**2 - i + 2. Let l(r) = -3*r**2 - 6*r + 12. Let x = -234 + 240. Let y(g) = x*k(g) - l(g). Let y(b) = 0. What is b?
0
Suppose -4*l = -2*x - 30, -9*x = -125*l + 124*l + 50. Let t(g) be the first derivative of 8/5*g**l + 0*g**3 - 2/3*g**6 + 26 - g**4 + 0*g + 0*g**2. Factor t(k).
-4*k**3*(k - 1)**2
Let 9*r**2 - 6*r**2 - r**2 - 2883 + 3*r**2 + 186*r - 8*r**2 = 0. What is r?
31
Let y(s) be the third derivative of s**7/5040 + s**6/2160 + 29*s**3/3 + 14*s**2 - 1. Let g(x) be the first derivative of y(x). Determine d so that g(d) = 0.
-1, 0
Let k(i) be the second derivative of i**4/3 + 170*i**3/3 - 172*i**2 + 3649*i. Factor k(m).
4*(m - 1)*(m + 86)
Let c be (24*2/640)/((-9)/(-12)). Suppose -13*g + 8 = -18. What is p in 0 + 1/10*p + c*p**g = 0?
-1, 0
Let o(c) be the third derivative of c**2 + 0*c**3 - 3/80*c**5 + 52 + 0*c**4 + 0*c + 1/560*c**7 + 1/320*c**6. Factor o(x).
3*x**2*(x - 2)*(x + 3)/8
Let h(j) = -80*j**4 + 426*j**3 - 244*j**2 - 46*j. Let t(o) = -27*o**4 + 143*o**3 - 81*o**2 - 15*o. Let b(r) = -5*h(r) + 14*t(r). Factor b(x).
2*x*(x - 5)*(x - 1)*(11*x + 2)
Factor 10175*w + 4*w**3 + 21168 - 18732*w + 348*w**2 + 16621*w.
4*(w + 3)*(w + 42)**2
Let l be (-3280)/(-30) + (-1 - 1 - -3). Let j = 112 - l. Determine s so that -j*s**4 + 0 + 5/3*s - 5*s**2 + 5*s**3 = 0.
0, 1
Let u(j) = 6*j**2 + 21*j + 40. Let z(o) = -o**2 - 4*o - 8. Let v = 71 - 38. Let l(y) = v*z(y) + 6*u(y). Suppose l(t) = 0. Calculate t.
-2, 4
Let b(n) be the first derivative of 575/6*n**2 + 1/12*n**4 + 49/9*n**3 - 625/3*n + 71. Find v such that b(v) = 0.
-25, 1
Factor 20*h**4 + 1614*h**3 - 144*h**2 - 3219*h**3 + 2*h**5 + 1629*h**3.
2*h**2*(h - 2)*(h + 6)**2
Let -410/3*o - 84050/3 - 1/6*o**2 = 0. Calculate o.
-410
Let u(w) be the second derivative of -w**5/90 - 7*w**4/54 - 10*w**3/27 + 13*w - 13. Determine r so that u(r) = 0.
-5, -2, 0
What is o in -137/8*o**3 + 1/8*o**5 + 17*o - 49/8*o**2 - 43/8*o**4 + 23/2 = 0?
-2, -1, 1, 46
Find q such that 6*q**5 + 19*q**2 - 8*q + 83*q**3 + 92*q - 54*q**4 - 3*q**5 + 100*q**3 - 235*q**2 = 0.
0, 1, 2, 14
Determine r so that -34/3*r**4 + 0 - 130/3*r**3 + 34/3*r**2 - 2/3*r**5 + 44*r = 0.
-11, -6, -1, 0, 1
Let a(h) be the second derivative of -3*h**5/20 - 7*h**4/2 + 138*h**3 - 1404*h**2 + 5*h + 1389. Factor a(q).
-3*(q - 6)**2*(q + 26)
Let w(p) = p**2 - 2*p - 13. Let x be w(7). Suppose 6*o = 17*o - x. Determine i, given that -4*i**4 + 0*i**3 - i + 4*i**o - 2*i**3 + 2*i + i**3 = 0.
-1, -1/4, 0, 1
Let r(f) be the first derivative of 2/17*f + 84 - 2/17*f**2 + 2/51*f**3. Solve r(x) = 0.
1
Let d = 208 + -192. Suppose p**4 + 5*p - 14*p + 20*p**2 - d*p**3 + 3*p**4 + p = 0. What is p?
0, 1, 2
Let d(k) be the second derivative of -15/2*k**4 - 540*k**2 - 1/4*k**5 + 13*k - 90*k**3 + 0. Factor d(z).
-5*(z + 6)**3
Let u(r) be the first derivative of -3*r**4/4 + 295*r**3 - 5490. Solve u(g) = 0.
0, 295
Suppose -5*l + 41 - 35 = 2*b, -5*b + 15 = 4*l. Let u(w) be the second derivative of 10*w + 1/12*w**b - 1/48*w**4 + 0*w**2 + 0. Factor u(y).
-y*(y - 2)/4
Let o(v) = -14*v - 602. Let b be o(-43). Suppose b = 21*w - 126 + 42. What is z in -16/7*z + 0*z**2 + 0*z**w + 0 - 1/7*z**5 + 8/7*z**3 = 0?
-2, 0, 2
Let z = 32 - 17. Let p(r) = -18*r**2 + 20109 + 4*r - 20094 + 5*r. Let n(h) = h**2 - h - 1. Let c(a) = z*n(a) + p(a). Factor c(u).
-3*u*(u + 2)
Suppose -28*n + n - 7344 = 0. Let g = -270 - n. Let -g*q - 5/3 -