Suppose -4*f - 101 = -61. Let k be 1/(-4)*-14 - 5/f. Solve 139*t**2 - 45*t**k + t + 2 - 34*t**3 - 3*t**5 - 155*t**2 + 19*t**4 - 4*t**5 = 0.
-1, 2/7
Let t(a) = 4*a + 3*a**2 - 3*a - 2*a**2 + 1. Let l be (3*(-2)/(-4))/((-5)/(-10)). Let o(n) = 3*n. Let f(r) = l*t(r) - 3*o(r). Factor f(k).
3*(k - 1)**2
Let h be ((-4)/6)/(61/(-366)). Let a be 1/((-168)/(-258)) - (-3)/h. Let -4/7*k**2 + 8/7*k - 2/7*k**3 + a = 0. Calculate k.
-2, 2
Factor -2400*p - 304*p**2 - 14336/3 - 2/3*p**3.
-2*(p + 4)**2*(p + 448)/3
Solve 273/5 + 182/5*v**2 + 100*v - 44/5*v**3 + 1/5*v**4 = 0.
-1, 7, 39
Suppose 3*d - 65 = p, -281 = p + 4*p - 4*d. Let h = p - -55. Factor 63*w + 24*w**2 + 24 - h*w**3 + 36 + 5*w**3 - 6.
3*(w + 2)*(w + 3)**2
Let v(c) = -5*c - 150. Let g be v(-30). Let p(s) = s**2 - 6*s + 2. Let o be p(g). Solve 5/3*b**3 - 5/3*b**o + 0 + 0*b = 0 for b.
0, 1
Let r(y) = 187*y**2 - 1676*y - 61. Let x be r(9). Solve -18/5*p**x - 3/5*p**3 + 4/5*p**4 + 1/5*p**5 + 0*p + 0 = 0.
-3, 0, 2
Let w = 162 - 87. Let z be 30/14 - (-10)/(-70). Determine j, given that j**3 - j + w*j**2 - 75*j**z = 0.
-1, 0, 1
Let o(y) be the first derivative of 3*y**4/20 + 37*y**3/5 - 759*y**2/10 + 129*y - 1274. Factor o(z).
3*(z - 5)*(z - 1)*(z + 43)/5
Let o(r) = -r**2 - 15*r + 32. Let p be o(-13). Determine j, given that p*j**2 + 2*j**4 + 57*j**3 + 350*j - 362*j - 20*j**4 + 5*j**2 = 0.
-1, 0, 1/6, 4
Let a be (1280/(-8960))/((-44)/21 + 2). Factor -1/2*l**2 - l + a.
-(l - 1)*(l + 3)/2
Let y = -151226 + 453682/3. Suppose 1/3*j**5 - y*j**2 + 8/3*j**3 + 0 + 0*j - 5/3*j**4 = 0. What is j?
0, 1, 2
Let j(p) be the first derivative of 1/16*p**4 + 0*p**2 + 1/120*p**5 + 1/2160*p**6 + 0*p + 14/3*p**3 + 25. Let r(y) be the third derivative of j(y). Factor r(s).
(s + 3)**2/6
Let q(y) be the third derivative of -222*y**2 - 1/15*y**5 + 0*y - 2 + 4*y**3 - 5/6*y**4. Factor q(p).
-4*(p - 1)*(p + 6)
Let s(t) be the third derivative of t**8/25200 + t**7/900 + 6*t**5/5 - 73*t**2. Let k(p) be the third derivative of s(p). Factor k(z).
4*z*(z + 7)/5
Solve -125/3*l**3 - 420 + 2000/3*l - 10/3*l**4 + 1105/3*l**2 = 0 for l.
-18, -2, 1/2, 7
Let x(o) be the second derivative of 11/6*o**3 + 11*o - 1/900*o**6 + 0 - 1/15*o**4 + 0*o**2 + 1/60*o**5. Let c(n) be the second derivative of x(n). Factor c(r).
-2*(r - 4)*(r - 1)/5
Let j(w) = -6*w**5 + 31*w**3 + 12*w**2 - 13. Let x = 64 + -103. Let f(o) = o**5 - 5*o**3 - 2*o**2 + 2. Let g(m) = x*f(m) - 6*j(m). Factor g(t).
-3*t**2*(t - 2)*(t + 1)**2
Factor 1/7*v**2 + 26/7*v - 155/7.
(v - 5)*(v + 31)/7
Let q(i) = i**3 - 18*i**2 + 16*i + 19. Let c be q(17). Let -16*y + 13*y**3 - 9*y**3 + 3*y**c - 2*y**2 - 4 = 0. Calculate y.
-2, -1/4, 2
Let z(a) = 24*a + 315. Let d(g) = -2*g**2 - 15*g + 50. Let i be d(3). Let v be z(i). Factor -1/6*u**v - 5/6*u**2 - 4/3*u - 2/3.
-(u + 1)*(u + 2)**2/6
Let -12/5*y - 1/10*y**2 + 0 = 0. What is y?
-24, 0
Suppose 83*w + 21 = 519. Let k(b) be the third derivative of -11/30*b**w - 10/3*b**4 + 1/30*b**7 + 0*b + 0 - 10*b**2 + 8/3*b**3 + 8/5*b**5. Factor k(x).
(x - 2)**3*(7*x - 2)
Let v be 6/(-4)*12/(-9). Let f(u) = -u**2 + 11. Let n be f(3). Find z, given that -2*z + 2*z + n - 16*z + 2 + 12*z**v = 0.
1/3, 1
Let k(z) be the first derivative of -z**4/14 - 214*z**3/21 - 407*z**2/7 + 1030*z/7 + 460. Factor k(w).
-2*(w - 1)*(w + 5)*(w + 103)/7
Determine y, given that 47278*y**5 - 279*y + 318*y**2 - 47323*y**5 - 17 - 276*y**4 + 324*y**3 - 25 = 0.
-7, -1, -2/15, 1
Let p be (5/(-4))/(-5 + (-63)/(-12)). Let v be 12 + (-1 - (1 + p)). Factor 30 - 24*g**2 - 30 + 0*g + 12*g + v*g**3 - 3*g**4.
-3*g*(g - 2)**2*(g - 1)
Let p(q) = 2*q + 7. Let a be p(-2). Factor -10*n**2 + 7*n**2 + n**3 + 0*n**a + 0*n**2.
n**2*(n - 3)
Let p(l) be the second derivative of l**5/5 + 8*l**4 - 50*l**3/3 + 4936*l. Let p(c) = 0. Calculate c.
-25, 0, 1
Let -2568*b**3 + 65*b**2 - 6*b + 12*b - 36 - 2559*b**3 - 13*b**4 + 6*b - 3*b**5 + 5134*b**3 = 0. Calculate b.
-3, -1, 2/3, 2
Let b(p) = 3*p + 12. Let a be b(-3). Suppose -10 = -k + a*m + m, -5*k - 2*m + 6 = 0. Factor 20*w + 19 - 5*w**k + 7 - 1.
-5*(w - 5)*(w + 1)
Let m(v) be the first derivative of -3*v**2 + 5/2*v**3 + 47 - 3/2*v. Determine a, given that m(a) = 0.
-1/5, 1
Let v = -81422 - -81424. Factor -12/5*i + 8/5 - 4*i**v.
-4*(i + 1)*(5*i - 2)/5
Suppose -20 = 52*p - 56*p. Suppose 0 = -p*o + 2*o + 6. Factor -g**o + 21/8*g + 1/8*g**3 - 9/4.
(g - 3)**2*(g - 2)/8
Let s(o) be the third derivative of -o**8/4200 + o**7/350 - o**6/100 + o**5/75 - 8*o**3 + 22*o**2. Let j(n) be the first derivative of s(n). Factor j(p).
-2*p*(p - 4)*(p - 1)**2/5
Let b(q) = 4615*q**2 + 5525*q + 850. Let k(s) = 1065*s**2 + 1275*s + 196. Let d(x) = -7*b(x) + 30*k(x). Factor d(g).
-5*(g + 1)*(71*g + 14)
Let 10/9*i**2 + 4/3 + 34/9*i = 0. Calculate i.
-3, -2/5
Factor -5*f**5 + 5*f**3 - f**5 + 5*f**5 - 58*f**3 - 18*f**4 - 28*f**3.
-f**3*(f + 9)**2
Let v = 18292 - 18287. Let d(g) be the first derivative of -7/3*g**6 + 544/3*g**3 + 116/5*g**v + 2 + 64*g - 176*g**2 - 92*g**4. Let d(h) = 0. What is h?
2/7, 2
Let f = -175 - -180. Factor 15*q - 5*q - q**2 - f*q**2 - 7*q + 9.
-3*(q + 1)*(2*q - 3)
Suppose -12*m - 416 = -8*m. Let x = 184 + m. Let 3*p**3 - 6*p + 62 - x - 4*p + 6*p**2 - 5*p = 0. Calculate p.
-3, -1, 2
Let m(h) = 1066*h - 11724. Let d be m(11). Let n(x) be the second derivative of 0*x**d - 4/27*x**3 + 0 - 29*x + 1/90*x**5 + 0*x**4. Factor n(w).
2*w*(w - 2)*(w + 2)/9
Let c(l) be the second derivative of -3*l**5/80 + 4*l**4 + 67*l**3/2 + 102*l**2 + 834*l + 2. Factor c(j).
-3*(j - 68)*(j + 2)**2/4
Let a(r) be the first derivative of 0*r**2 - 1/720*r**6 + 10/3*r**3 - 1/240*r**5 - 17 + 1/8*r**4 + 0*r. Let g(c) be the third derivative of a(c). Factor g(v).
-(v - 2)*(v + 3)/2
Suppose -4*u + t + 0 = 3, -4*u = 2*t + 6. Let c be 16/(-8) - (38*u)/1. Solve -47*o + 14 + 5*o**2 + c - 8*o = 0 for o.
1, 10
Let r(p) = -7*p + 177. Let d be 3/(-2) - (-212)/16*2. Let t be r(d). Let 1/3*w - 1/3*w**3 + 0*w**t + 0 = 0. What is w?
-1, 0, 1
Let h(l) be the second derivative of -l**5/4 + 15*l**4/2 + 70*l**3 + 220*l**2 + 21*l + 3. Factor h(s).
-5*(s - 22)*(s + 2)**2
Let z(p) = 12*p**2 - 11*p**2 - 24*p - 45 - 64. Let d be z(28). Factor 0 - d*v + 3/2*v**2.
3*v*(v - 2)/2
Let j(g) be the second derivative of 0 - 34*g + 1/2*g**3 - 1/72*g**4 + 0*g**2. Factor j(q).
-q*(q - 18)/6
Let d be -1*(-17)/3*(3 - -15). Let u be d/120 + (-35)/(-25). Find c such that -u*c - 3/4*c**4 - 3 + 9/4*c**3 + 15/4*c**2 = 0.
-1, 1, 4
Factor 116/7*f**2 + 2/7*f**3 + 310/7*f - 1100/7.
2*(f - 2)*(f + 5)*(f + 55)/7
Let g(q) be the third derivative of -1/616*q**8 + 0 + 4*q**2 + 0*q**6 - 2*q - 3/385*q**7 + 0*q**4 + 0*q**3 + 2/55*q**5. Factor g(l).
-6*l**2*(l - 1)*(l + 2)**2/11
Let l(m) be the third derivative of 5*m**8/1848 + 58*m**7/1155 + 13*m**6/55 - 12*m**5/55 + 419*m**2 - m. Factor l(i).
2*i**2*(i + 6)**2*(5*i - 2)/11
Let t(z) be the first derivative of -z**5 - 45*z**4/2 - 305*z**3/3 - 180*z**2 - 140*z - 4789. Let t(w) = 0. What is w?
-14, -2, -1
Let i(k) = 13*k**2 + 75*k + 77. Let w(u) = 2*u + 87 + 110*u + 29 + 18*u**2 + 2*u**2. Let c(h) = 8*i(h) - 5*w(h). Factor c(f).
4*(f + 1)*(f + 9)
Let p(w) = w**2 - w - 5. Let m(k) = -2*k**2 + 1541*k + 451. Let l(n) = -m(n) - 14*p(n). Factor l(g).
-3*(g + 127)*(4*g + 1)
Suppose -46/7*s**2 + 18/7*s**4 - 12/7*s**3 + 16/7*s + 32/7 = 0. What is s?
-1, 4/3
Factor 51*z + 256 - 311*z - 20*z**3 + 37*z**3 - 18*z**3 + 68*z**2.
-(z - 64)*(z - 2)**2
Let f(l) be the first derivative of 3*l**5/20 - l**4 + l**3/2 + 9*l**2 + 70*l + 82. Let h(i) be the first derivative of f(i). Solve h(g) = 0.
-1, 2, 3
Let n = -14640 + 14644. Let 25/6*y**5 + 28/3*y**2 + 205/6*y**n + 40/3 - 152/3*y + 212/3*y**3 = 0. What is y?
-5, -2, 2/5
Let d(n) be the second derivative of n**4/30 + 4*n**3/15 - 21*n**2/5 - 28*n - 26. Solve d(q) = 0.
-7, 3
Let b(o) be the first derivative of -5*o**6/6 - 96*o**5 - 4020*o**4 - 227200*o**3/3 - 714240*o**2 - 3317760*o - 5361. Factor b(n).
-5*(n + 8)**3*(n + 36)**2
Let r(d) be the third derivative of -d**6/30 - 274*d**5/15 - 18769*d**4/6 - 438*d**2. Find f such that r(f) = 0.
-137, 0
Suppose -3*b + 155 = 61 + 79. Let k(i) be the third derivative of 0*i + 1/70*i**7 + 1/2*i**4 + 0*i**3 + 0 - 2*i**2 - 1/40*i**6 - 1/5*i**b. Factor k(h).
3*h*(h - 2)*(h - 1)*(h + 2)
Let w(d) be the first derivative of 4*d**5/35 -