 i(g) = 4*g**3 + 1071*g**2 + 5*g - 40. Let k(o) = -16*i(o) + 5*y(o). Factor k(q).
q**2*(q - 1066)
Let b be 88/(5/(-18)*-6 + (-26)/(-6)). Factor b + 46/3*w + 2/3*w**2.
2*(w + 1)*(w + 22)/3
Let c be ((-12)/(-98))/(((-8)/(-14))/(28/21)). Let m = 2615/7 + -373. Suppose -m*a**2 + a + c = 0. Calculate a.
-1/4, 2
Let h(s) = 689*s + 139181. Let d be h(-202). Factor -3 + 11/2*u - 1/2*u**d - 2*u**2.
-(u - 1)**2*(u + 6)/2
Let w(c) be the first derivative of c**5/30 - 7*c**4/3 + 196*c**3/3 - 3*c**2/2 - c - 32. Let l(k) be the second derivative of w(k). Solve l(p) = 0 for p.
14
Find t such that -10/11*t**3 - 1946/11*t**2 - 3094/11*t - 1158/11 = 0.
-193, -1, -3/5
Suppose -441*u = -446*u + 10. Suppose 61*s**u + 7*s - 28*s + 4*s - 47*s - 81*s**3 - 5*s**4 - 397*s**2 = 0. Calculate s.
-8, -1/5, 0
Let n(o) = 18*o**2 + 3*o - 3. Let t be n(-1). Factor -8*b**2 + 2*b**4 + 22*b**2 - 4*b - t*b**2 - 4*b**2 + 4*b**3.
2*b*(b - 1)*(b + 1)*(b + 2)
Let m(h) be the second derivative of h**5/8 + 45*h**4/2 - 275*h**3/3 + 2*h + 1732. Let m(q) = 0. What is q?
-110, 0, 2
Let y(z) = 6*z - 4. Let k = 72 - 66. Let o(c) = 2*c**2 - 6*c + 4. Let x(r) = k*y(r) + 4*o(r). Find n, given that x(n) = 0.
-2, 1/2
Let v = 6445 - 3860. Let s = v + -2585. Factor -7/2*d**3 + s - d - 9/2*d**2.
-d*(d + 1)*(7*d + 2)/2
Let c(s) be the second derivative of -s**7/1260 + s**6/180 + s**5/20 + 7*s**4/6 + 3*s**2 + s + 35. Let x(f) be the third derivative of c(f). Factor x(g).
-2*(g - 3)*(g + 1)
Let n(l) be the first derivative of 3*l**6/2 - 348*l**5/25 + 849*l**4/20 - 246*l**3/5 + 48*l**2/5 + 96*l/5 + 1513. Solve n(i) = 0 for i.
-4/15, 1, 2, 4
Suppose 5*i - 4*r - 51 = 41, -5*i - 2*r + 104 = 0. Find a such that -i*a**4 + 172*a + 76*a**2 + 0*a**4 - 107*a**3 - 72 + 16*a**2 - 11*a**3 - 54*a**3 = 0.
-9, -1, 2/5, 1
Let z(l) = 9*l**2 + 3*l - 3. Let p(w) = w**3 + 7*w**2 + 5*w - 22. Let i be p(-5). Let n(v) = v**3 + 8*v**2 + v - 4. Let y(b) = i*n(b) - 2*z(b). Factor y(c).
3*(c - 1)*(c + 1)*(c + 2)
Let r be 279620/3100 + 46/(-2). Solve 882/5 + r*d - 16/5*d**3 + 2/5*d**4 - 52/5*d**2 = 0 for d.
-3, 7
Let y be 3936/192 + -4 + -3. Factor -y - 3/4*n**3 - 12*n**2 + 105/4*n.
-3*(n - 1)**2*(n + 18)/4
Let f = 18 + -31/2. Let m = 14301 + -14299. Factor -f*h - 3 + m*h**2.
(h - 2)*(4*h + 3)/2
Let f(i) = -15*i**4 + 90*i**3 - 306*i**2 - 648*i + 3888. Let g(d) = 7*d**4 - 45*d**3 + 154*d**2 + 324*d - 1944. Let a(o) = -4*f(o) - 9*g(o). Factor a(b).
-3*(b - 6)**3*(b + 3)
Let k(v) = 41*v**4 + 3*v**3 + 3*v**2 - 17*v - 8. Let x(n) = 49*n**4 + 3*n**3 + 4*n**2 - 18*n - 8. Let u(i) = -6*k(i) + 5*x(i). Factor u(z).
-(z - 2)*(z + 1)*(z + 2)**2
Let l(z) be the first derivative of z**5/330 + z**4/2 + 33*z**3 + 5*z**2 - 7*z - 239. Let j(f) be the second derivative of l(f). Factor j(b).
2*(b + 33)**2/11
Let z = -103 - -107. Find b such that -18*b**2 - 11*b**2 - 12*b + 9*b**4 + z*b + 9*b**2 - 6*b**3 = 0.
-2/3, 0, 2
Let c(h) be the first derivative of 578*h + 34*h**2 + 2/3*h**3 + 31. Factor c(s).
2*(s + 17)**2
Suppose -m + 4*r + 20 = 0, 0 = 2*m - 3*r - 175 + 145. Let p be m*105/80 + 3 + 5. Solve 2 - p*h**3 + 57/2*h**2 - 13*h + 25/4*h**4 = 0 for h.
2/5, 1, 2
Suppose 43 + 5 = 24*s. Determine x, given that -x**2 - 47 + 11*x**s - 12*x**2 - 25 - 24*x = 0.
-6
Determine c, given that 4 - 21*c**2 + 24*c**2 - 2*c**3 + 20 - 36*c + 13*c**2 - 2*c = 0.
1, 3, 4
Let v = -41 + 47. Suppose 0 = -v*d - 9*d - 5*d. Factor 8/5*i + 4/5*i**2 - 8/5*i**3 - 4/5*i**4 + d.
-4*i*(i - 1)*(i + 1)*(i + 2)/5
Let w(m) = 6*m - 7. Let l be w(6). Suppose -l*r + 33*r = 12. What is b in 0*b**2 + 0 + 0*b**r - 20/3*b**5 + 0*b + 8/3*b**4 = 0?
0, 2/5
Let s = 169 + -167. Find u such that -10 - 17*u**2 - 32*u - s*u**4 - 9*u**2 - 16*u**3 - 10*u**2 = 0.
-5, -1
Let m(w) be the second derivative of -w**4/12 - 53*w**3/6 - 6598*w. Solve m(t) = 0 for t.
-53, 0
Let y = -58854 + 58908. Factor 0 - 324*t + 27*t**3 + y*t**2 + 1/2*t**5 - 15/2*t**4.
t*(t - 6)**3*(t + 3)/2
Suppose -14*x + 17*x = -5*b - 6, -3 = 2*x + 3*b. Let m(y) be the first derivative of 80*y - 20*y**2 + 5/3*y**x - 16. Find d such that m(d) = 0.
4
Let w(c) be the first derivative of 2*c**3/27 + 4*c**2/9 - 64*c/3 + 3241. Factor w(t).
2*(t - 8)*(t + 12)/9
Let b(x) = -18*x + 328. Let g be b(18). Let q(k) be the second derivative of 3*k + 3/8*k**2 + 1/16*k**g + 0 - 1/4*k**3. Factor q(p).
3*(p - 1)**2/4
Suppose 0 = 3*h + 5*l - 1, 2*h - h - 3*l - 5 = 0. Let k be 14/(-8)*(h + (-68)/28). Find f such that 0 - 3/4*f**2 + k*f = 0.
0, 1
Let q(o) be the first derivative of -o**6/120 + o**5/20 - 8*o**3/3 - 5*o**2/2 - 26. Let z(d) be the third derivative of q(d). Let z(y) = 0. Calculate y.
0, 2
Suppose -37*r**3 - 28*r - 60 + 148*r**2 + 367*r**4 - 16*r**3 - 359*r**4 - 15*r**3 = 0. What is r?
-1/2, 1, 3, 5
Let a(i) be the second derivative of -20/3*i**3 - 2 - 40*i - 12*i**2 - 1/60*i**6 - 2*i**4 - 3/10*i**5. Let a(m) = 0. What is m?
-6, -2
Let k = -1193 + 1202. Let d be 10/(-9)*(3 - k)/1. Find z such that d*z + 100/3 + 1/3*z**2 = 0.
-10
Let n(q) = 66*q**2 - 3*q + 2. Let k be n(1). Let a be (-10)/(-2) + (-130)/k. Factor 10/13*p**2 - 18/13 - 2/13*p**a - 6/13*p.
-2*(p - 3)**2*(p + 1)/13
Solve -4480*h**2 - 158154*h**3 + 158157*h**3 - 1262*h**2 = 0.
0, 1914
Let s = 25 - -45. Let z be (60/s)/(4/21). What is q in z*q + 3/2*q**2 + 3/2*q**4 - 9/2*q**3 - 3 = 0?
-1, 1, 2
Let t(h) be the second derivative of h**4/84 + 121*h**3/42 + 17*h**2 + 6069*h. Suppose t(w) = 0. Calculate w.
-119, -2
What is j in 2/3*j**2 - 9*j**3 + 0 + 1/6*j**5 + 12*j + 5/2*j**4 = 0?
-18, -1, 0, 2
Suppose -22*r = 11*r - 312 + 213. Let c(v) be the third derivative of 0 - 3/50*v**5 + 0*v + 0*v**r + 1/20*v**4 + 22*v**2 - 1/25*v**6. Factor c(q).
-6*q*(q + 1)*(4*q - 1)/5
Let i(a) be the second derivative of 1/9*a**3 + 0 + 1/90*a**5 + 73*a + 1/9*a**2 + 1/18*a**4. Factor i(g).
2*(g + 1)**3/9
Suppose 181 = -10*i + 191. Let m be ((i - 4) + 2)*(-1 - 1). Let -4/11*f + 2/11*f**m + 0 = 0. What is f?
0, 2
Suppose 0 = 34*i + 67*i. Let b(k) be the third derivative of 1/735*k**7 + i*k**4 + 0 + 0*k + 1/210*k**6 - 20*k**2 + 0*k**3 + 1/210*k**5. Factor b(f).
2*f**2*(f + 1)**2/7
Let b(r) be the third derivative of -1/36*r**4 + 0*r**3 + 1/45*r**5 - 3 - 1/180*r**6 - 2*r**2 + 0*r. Let b(g) = 0. Calculate g.
0, 1
Suppose 0 = -8*s + 5*s + 6. Suppose 1740*q - 705*q - 198*q = -1975*q + 14060. Solve c**s - 21/4*c**q + 0 - 43/4*c**3 - 16*c**4 + c = 0 for c.
-2, -1, -1/3, 0, 2/7
Factor -2*w + 4*w**3 - 3*w + w + 2*w**2 + 9*w**3 - 11*w**3.
2*w*(w - 1)*(w + 2)
Let r be (-6)/(-15) - 464/(-40). Let 44*j**4 + 48*j + 4 + 45*j**4 - 48*j**3 + 19*j**4 - 124*j**2 + r = 0. What is j?
-1, -2/9, 2/3, 1
Let b(x) be the third derivative of -x**7/42 - 11*x**6/8 - 7*x**5/3 + 55*x**4/2 + 320*x**3/3 - 2*x**2 - 1337*x + 1. Suppose b(s) = 0. Calculate s.
-32, -2, -1, 2
Let -384/17 - 2/17*q + 384/17*q**2 + 2/17*q**3 = 0. Calculate q.
-192, -1, 1
Let g be (870/36)/29*6. Let j(n) be the first derivative of 0*n**2 - 28/25*n**g + 0*n - 4/15*n**3 + 15 - n**4 - 2/5*n**6. Factor j(m).
-4*m**2*(m + 1)**2*(3*m + 1)/5
Let l(h) = 3*h**3 - 240*h**2 + 2370*h - 6482. Let o(m) = -14*m**3 + 1200*m**2 - 11865*m + 32411. Let n(y) = -11*l(y) - 2*o(y). Factor n(j).
-5*(j - 36)*(j - 6)**2
Let l be -1 - 0 - 8/(-2). Let w(c) = -124*c + 1244. Let a be w(10). Solve 9*v**2 + 1 + 2*v**3 - 10*v**l - 5*v**a + 8*v + 1 - 6 = 0.
-2, -1, 2/5, 1
Let b = 119383/10 + -11938. Let i(t) be the third derivative of 19/12*t**4 + 0 + 15*t**2 + 0*t + b*t**5 + 2/3*t**3. Factor i(r).
2*(r + 2)*(9*r + 1)
Let x = 29039/49 + -593. Let y = x - -237/245. Factor -48/5*d - 192/5 - y*d**2.
-3*(d + 8)**2/5
Let z(l) be the second derivative of 0 - 35/2*l**2 - 68*l + 20/3*l**3 - 5/12*l**4. Solve z(s) = 0.
1, 7
Let c = 70 + -64. Let d(y) be the first derivative of 0*y + 4/45*y**5 - 1/9*y**4 + 0*y**2 + 0*y**3 - 1/54*y**c + 12. Factor d(v).
-v**3*(v - 2)**2/9
Let w = -608 + 609. Let g be w + 27/12 - -3. Factor -5/2 - 5*p**2 - 5/4*p**3 - g*p.
-5*(p + 1)**2*(p + 2)/4
Let d be (-5592)/(-1656) - 1*4. Let v = d + 45/23. Factor -4/3*y - 2 + 16/9*y**2 + 2/9*y**4 + v*y**3.
2*(y - 1)*(y + 1)*(y + 3)**2/9
Let -2385*b**3 + 5008*b - 574425*b**2 + 384 + 565897*b**2 + 1434*b**4 - 1493*b**3 + 6710*b**4 - 1478*b**3 + 348*b**5 = 0. What is b?
-24, -1, -2/29, 2/3, 1
Let a be (-11)/(-176) + (-63)/(-16). Let r(q) be the th