 c(k) = 0 for k.
-2, -1
Suppose -93 = -4*r + 2*r + f, -207 = -4*r - 5*f. Factor 45*d**3 - r*d - 72*d - 5*d - 75*d**2 - 5*d**4.
-5*d*(d - 5)**2*(d + 1)
Let x be -123 - -131 - ((-11)/(11/2))/((-1)/4). Factor -7/3*v**4 + 0*v**2 + 4/3*v**5 - 2/3*v**3 + 0 + x*v.
v**3*(v - 2)*(4*v + 1)/3
Let w = 7031 + -253111/36. Let g(t) be the third derivative of 0 - 23*t**2 + 25/9*t**3 + w*t**4 + 1/360*t**5 + 0*t. Factor g(x).
(x + 10)**2/6
Let d(x) = -30*x**2 - 28825*x + 10368050. Let c(n) = 7*n**2 + 7206*n - 2592012. Let u(a) = 25*c(a) + 6*d(a). Suppose u(j) = 0. What is j?
720
Find j, given that -43/3*j**3 + 1 + 43/3*j - j**2 = 0.
-1, -3/43, 1
Let s(l) be the third derivative of l**6/60 - 7*l**5/30 + 7*l**4/6 - 8*l**3/3 - 1356*l**2. Solve s(i) = 0.
1, 2, 4
Let o(y) be the first derivative of -2*y**6/15 + 160*y**4 - 64000*y**2 + 3897. Solve o(x) = 0.
-20, 0, 20
Let u be (-18)/(-1)*79/474. Let l(o) be the second derivative of -8/21*o**2 - 1/21*o**4 + 0 + 1/210*o**5 - 33*o + 4/21*o**u. Factor l(z).
2*(z - 2)**3/21
Let l = 294 - 290. Find y such that 43*y + 4*y**2 + 6 - l*y**2 - y**4 - 26*y + 3*y**3 + 15*y**2 = 0.
-1, 6
Let q be (-40)/(-26) + 168165/48581. Factor 0 + q*x - 1/5*x**2.
-x*(x - 25)/5
Let n(t) be the second derivative of -t**8/2880 + 43*t**7/3780 - 41*t**6/540 + t**5/9 - 13*t**4/3 + 71*t. Let u(z) be the third derivative of n(z). Factor u(k).
-(k - 10)*(k - 2)*(7*k - 2)/3
Let n(v) be the second derivative of 4913*v**6/70 + 462111*v**5/140 + 26979*v**4/14 + 3166*v**3/7 + 372*v**2/7 + 2*v + 882. Factor n(i).
3*(i + 31)*(17*i + 2)**3/7
Let x be ((-92)/207)/((8/36)/(-1)). Let n(s) be the second derivative of -1/8*s**4 + 3/40*s**5 - 1/2*s**3 - 20*s + 0*s**x + 0. Let n(o) = 0. What is o?
-1, 0, 2
Let d(n) be the third derivative of -n**5/12 - 161*n**4/24 - 98*n**3 + 30*n**2. Let m(i) = -2*i**2 - 54*i - 196. Let p(y) = 2*d(y) - 7*m(y). Factor p(h).
4*(h + 7)**2
Let d be (-19)/646*-17*0/2. Solve d*o + 1/7*o**2 + 8/7*o**4 + 5/7*o**3 + 4/7*o**5 + 0 = 0 for o.
-1, -1/2, 0
Let g = -17 + 20. Let n be g/(-21) + 644/49. Solve -4*l**4 + n*l**3 - 5*l**3 - 4*l - l**2 + 5*l**2 - 4*l**3 = 0.
-1, 0, 1
Suppose -6*p + 33 = -117. Factor -10*y**4 + 6*y - 4*y**4 + p*y**4 - 12*y**4 + 7*y**2.
-y*(y - 3)*(y + 1)*(y + 2)
Let f = 1507 - 314959/209. Let w = f - -824/627. Factor 1/3*y**2 - w + 0*y.
(y - 2)*(y + 2)/3
Let z(m) = -771 - 207 - 56*m - 56 - 46*m + 28*m. Let l be z(-14). Factor 0 + 1/3*h**l - 5/3*h.
h*(h - 5)/3
Let c(q) = 23*q**2 + 2222*q + 1236540. Let j(p) = 11*p**2 - p - 2. Let d(g) = -3*c(g) + 6*j(g). Let d(s) = 0. Calculate s.
-1112
Let s be 1/3*454/908. Factor 1/3*j**3 + 0*j + s*j**2 + 1/6*j**4 + 0.
j**2*(j + 1)**2/6
Suppose -g + 10 = 4*k - 7, 2 = 4*k - 2*g. Let q be (-5)/2*184/(-115). Solve -6*f**q + 9*f**2 - 7*f**2 - 4*f**k - 2*f**2 = 0 for f.
-2/3, 0
Solve 0*x - 2/7*x**4 - 1004/7*x**2 - 506/7*x**3 + 0 = 0.
-251, -2, 0
Let q(l) be the first derivative of -l**8/6720 - l**7/840 + l**6/480 + 3*l**5/80 + 136*l**3/3 - 53. Let w(t) be the third derivative of q(t). Solve w(a) = 0.
-3, 0, 2
Let n(w) = -2*w**5 - w**4 + w**3 - w**2 + w + 2. Let v(h) = 5*h**5 + 7*h**4 - 4*h**3 - 8*h**2 - h + 1. Let a(p) = -2*n(p) - v(p). Factor a(y).
-(y - 1)**2*(y + 1)**2*(y + 5)
Let z(a) = 24*a**3 + 15*a**2 + 36*a - 5. Let u(c) = 5*c**3 + c**2 - 4*c - 1. Let y(v) = 15*u(v) - 3*z(v). Determine w, given that y(w) = 0.
-4, 0, 14
Let a(s) = -s - 1. Let g(v) = 52*v + 342. Let f(y) = y**2 - 259*y - 1711. Let o(w) = -2*f(w) - 11*g(w). Let q(l) = 4*a(l) - 2*o(l). Find m, given that q(m) = 0.
-13
Factor -894335 + 894335 + 7*s + 177*s - 88*s**2 - 2*s**3.
-2*s*(s - 2)*(s + 46)
Factor 0 + 25*q**2 - 49/2*q - 1/2*q**3.
-q*(q - 49)*(q - 1)/2
Suppose -1121*v - 141 = -2383. Factor -8*l**3 + 136*l - 111/2*l**v - 1/4*l**4 - 289/4.
-(l - 1)**2*(l + 17)**2/4
Let x = -103115/3 - -1134313/33. Factor 96/11 - 2/11*s**3 + x*s**2 + 8*s.
-2*(s - 12)*(s + 2)**2/11
Let l(f) be the second derivative of f**9/45360 - f**8/1440 + f**7/315 - 187*f**4/12 - 25*f. Let c(x) be the third derivative of l(x). Let c(k) = 0. What is k?
0, 2, 12
Suppose -6599173*x**2 - 30*x + 5*x**4 + 30*x**3 + 6599208*x**2 - 16 - 24 = 0. What is x?
-4, -2, -1, 1
Let i = 798 + -804. Let t(b) = b**3 + b**2 + 1. Let u(k) = 3*k**4 - 21*k**3 + 84*k**2 - 72*k + 6. Let d(w) = i*t(w) + u(w). Let d(f) = 0. Calculate f.
0, 2, 3, 4
Let c = -3135 + 3139. Let q be 6*((-48)/27)/(-8). Factor -q*x + 1/9*x**2 + c.
(x - 6)**2/9
Let u(y) be the first derivative of -3*y**4/8 - 87*y**3 - 22707*y**2/4 - 916. Find g, given that u(g) = 0.
-87, 0
Let 58*h**2 - 56*h**2 + 47 - 526*h - 575 = 0. Calculate h.
-1, 264
Let l(x) be the first derivative of -x**4/6 + 7*x**3/3 - 183*x + 165. Let u(q) be the first derivative of l(q). Suppose u(f) = 0. What is f?
0, 7
Let x(v) = -2*v + 28. Let g(u) = u**2 + 2*u - 22. Let i be g(-7). Let j be x(i). What is a in 2 + 15*a**2 + a**3 - 9*a**j + 6*a + 0*a + a**3 = 0?
-1
Let g(a) = -33*a - 627. Let z be g(-19). Let t(n) be the third derivative of z + 1/6*n**4 - 2/9*n**3 + 16*n**2 + 0*n + 7/180*n**5. Solve t(p) = 0 for p.
-2, 2/7
Suppose 0 = -5*y - 45, -16 = -5*n + 2*y + 26 - 14. Factor 15/2*x - 1/2*x**5 + 5*x**3 + 2 + 10*x**n + 0*x**4.
-(x - 4)*(x + 1)**4/2
Suppose 15*k + 257 = 60*k + 46*k + 75. Factor 0*h + 16/5*h**3 - 2*h**4 + 0*h**k + 0.
-2*h**3*(5*h - 8)/5
Let f(d) be the third derivative of d**6/480 - 7*d**5/80 + 33*d**4/32 + 121*d**3/24 - 127*d**2 + 5*d + 5. Let f(v) = 0. Calculate v.
-1, 11
Let o be ((-9)/(90/(-8)))/((-4)/(-10)). Factor 2992 + 0*y**3 - 2992 - 45*y + 30*y**o - 5*y**3.
-5*y*(y - 3)**2
Let t be 152892/(-840) - 2/4. Let j = 914/5 + t. Solve 6/7 + j*f**2 + 8/7*f = 0 for f.
-3, -1
Let k(l) be the third derivative of 0 - 1/21*l**7 - 1/30*l**5 + 0*l - 36*l**2 + 0*l**3 - 2/15*l**6 + 1/6*l**4. Determine b, given that k(b) = 0.
-1, 0, 2/5
Let x(j) be the second derivative of -3*j**5/140 + 559*j**4/14 - 312481*j**3/14 - j - 613. Factor x(b).
-3*b*(b - 559)**2/7
Let o be (-20)/8*3*(128/(-40))/8. Let s(d) be the second derivative of 15*d + 0 - 1/18*d**4 - 4/3*d**2 + 4/9*d**o. Factor s(c).
-2*(c - 2)**2/3
Let z(l) be the third derivative of -l**6/120 + l**4/8 + 84*l**2. Let t(m) = 32*m**2 + 4*m - 32. Let a(o) = t(o) - 2*z(o). Solve a(r) = 0.
-16, -1, 1
Let y(d) be the third derivative of 2 - 28/3*d**3 + 0*d + 132*d**2 - 2*d**4 + 1/60*d**6 - 1/10*d**5. Factor y(u).
2*(u - 7)*(u + 2)**2
Factor -28194 + 43*r - 33*r + 130*r - 5*r**2 + 27534.
-5*(r - 22)*(r - 6)
Let u(r) be the first derivative of -12/7*r + 8/21*r**3 + 1/14*r**4 + 1/7*r**2 - 41. Let u(p) = 0. Calculate p.
-3, -2, 1
Let i = -570/31 + 2943/155. Suppose -102/5 - 21*n - i*n**2 = 0. What is n?
-34, -1
Suppose 2*b - 3 = -h + 3, 3*h - 2 = 2*b. Determine k, given that -65 + 14 - b*k**3 - 3*k**3 + 30*k + 11 + 15*k**2 = 0.
-2, 1, 4
Let y(d) be the third derivative of -d**7/140 - 11*d**6/80 - 3*d**5/5 - d**2 + 164. Factor y(r).
-3*r**2*(r + 3)*(r + 8)/2
Let l(t) be the third derivative of t**7/210 - 11*t**6/60 + 7*t**5/20 - 1754*t**2. Find z, given that l(z) = 0.
0, 1, 21
Let v(s) be the first derivative of s**3/21 + 10*s**2/7 + 51*s/7 - 2484. Suppose v(a) = 0. Calculate a.
-17, -3
Let r(l) be the first derivative of -l**3 - 438*l**2 - 63948*l - 722. Determine s, given that r(s) = 0.
-146
Let f = 25952 - 25947. Let n(q) be the third derivative of 1/540*q**6 + 0 + 1/270*q**f - 5*q**2 + 0*q**4 + 0*q**3 + 0*q. Factor n(t).
2*t**2*(t + 1)/9
Factor -5/2*t**3 - 44*t - 32 - 19*t**2.
-(t + 2)*(t + 4)*(5*t + 8)/2
Let g(o) = 3*o**2 - 3*o**2 - 2*o**2 - 1 + 4*o**2 - 4*o. Let q be g(-3). Find k such that -117 + 102 - q*k - 10*k**2 + 4*k = 0.
-3/2, -1
Let g = -271 + 265. Let j be 4/(-54)*g - 1945/(-180). Factor 1 + 13/2*p**3 + 5/4*p**4 + 7*p + j*p**2.
(p + 1)*(p + 2)**2*(5*p + 1)/4
Let a(q) = 2*q**2 - 5*q + 3. Let v(y) = -3*y**2 + 14*y - 6. Let g(z) = -2*z + 1. Let m(t) = 5*g(t) + v(t). Let x(f) = -4*a(f) - 3*m(f). Factor x(c).
(c - 1)*(c + 9)
Let c be (12/(-8)*16/60)/(90/(-50)). Find v, given that -32/9*v + 14*v**2 - 128/9 + c*v**4 + 32/9*v**3 = 0.
-8, -1, 1
Suppose 2*q = 3*o - 209, 5*o - q + 150 = 496. Let h = o + -57. Suppose 669*p - 667*p + 3*p**2 - p**2 - h = 0. Calculate p.
-3, 2
Let n(k) be the second derivative of k**6/6 + 123*k**5/4 + 2150*k**4 + 196000*k**3/3 + 480000*k**2 + 2428*k. S