*4/84 - 59512*h**3/21 - 59168*h**2/7 - 5494*h. Solve c(a) = 0.
-344, -1
Let t = -29 + 31. Let m be ((-8)/(-3) + t)/(22/33). Let -5*n - n - 3*n - 15*n**2 + m + 20 - 3*n**3 = 0. What is n?
-3, 1
Let o(r) = -304*r - 3339. Let c be o(-11). Suppose 4/3*m**2 - 2/3*m**3 - 2/3 + 1/3*m**c + 1/3*m - 2/3*m**4 = 0. What is m?
-1, 1, 2
Let t(j) be the first derivative of -j**5/40 - 27*j**4/32 - 9*j**3/2 + 135*j**2 + 1944*j + 1264. Factor t(s).
-(s - 9)*(s + 12)**3/8
Let o(s) = 0*s - 7*s + 2 - 3 + 3. Let a be o(0). Let -5*c**4 - a*c**5 + 8*c**4 + c**5 - c**4 = 0. Calculate c.
0, 2
Let t(w) be the third derivative of 0*w**3 - 1/24*w**7 + 0*w + 1/24*w**4 - 34*w**2 + 1/12*w**5 + 11/480*w**6 + 0. What is u in t(u) = 0?
-2/5, -2/7, 0, 1
Find p, given that 208*p**2 - 155*p - 30*p**3 - 70*p + 21*p + 26*p**3 = 0.
0, 1, 51
Let l(k) = -428*k**2 + 252*k - 5500. Let x(u) = 92*u**2 - 50*u + 1100. Let j(w) = -3*l(w) - 14*x(w). Factor j(n).
-4*(n - 11)*(n + 25)
Let b be 5560/1020 - (-4)/(-34). Let t(l) = l**3 - 8*l**2 + 9*l - 11. Let w be t(7). Factor 0 + b*v + 0*v**2 - 4/3*v**w.
-4*v*(v - 2)*(v + 2)/3
Let b = 165 + -131. Let r(n) = 40*n**2 + 180*n + 1350. Let y(h) = 7*h**2 + 30*h + 225. Let x(j) = b*y(j) - 6*r(j). Factor x(f).
-2*(f + 15)**2
Let o = 131 + -129. Factor -5*p**2 - 11*p - p**3 + o*p**3 + 26*p - 4 - 7*p.
(p - 2)**2*(p - 1)
Let b(q) be the second derivative of q**6/27 + 29*q**5/30 - 11*q**4/9 - 220*q**3/27 - 8*q**2 - 1225*q. Let b(n) = 0. Calculate n.
-18, -1, -2/5, 2
Let q be -5 + -2 + 3 - -4. Suppose q = 2*t - 3*o - 15 + 3, 0 = -5*t + 2*o + 8. Suppose 0 + t*l - l**5 - 4/5*l**4 + 0*l**2 + 1/5*l**3 = 0. Calculate l.
-1, 0, 1/5
Suppose -574*s + 4481 + 13519 = 551*s. Let -288 + s*i - 2/9*i**2 = 0. What is i?
36
Factor -6*s**2 + 3*s**4 + 66*s**3 + s**4 - 6*s**2 - 45*s**3 - 29*s**3.
4*s**2*(s - 3)*(s + 1)
Let u(j) be the first derivative of j**3/5 - 7971*j**2/10 - 7974*j/5 - 10450. Suppose u(p) = 0. Calculate p.
-1, 2658
Let g(r) be the second derivative of r**6/40 + 201*r**5/80 + 307*r - 2. Find d such that g(d) = 0.
-67, 0
Find a, given that 136/19 - 8/19*a**3 - 502/19*a - 166/19*a**2 = 0.
-17, -4, 1/4
Let b(p) be the second derivative of p**7/3220 - p**6/414 + 7*p**5/1380 - 25*p**3/6 - 2*p. Let o(k) be the second derivative of b(k). Factor o(d).
2*d*(d - 1)*(3*d - 7)/23
Suppose 0 = 159*l - 161*l. Let 28*y + 20*y**2 + 16 + l + 4*y**3 - 4 + 0 = 0. What is y?
-3, -1
Suppose 0 = -31*j - 19 + 143. Let n be (-2)/j*(-140)/665. Let 0*t - 2/19*t**2 + 0 + 0*t**3 + n*t**4 = 0. What is t?
-1, 0, 1
Let v(z) be the first derivative of -2400/13*z**2 + 66/13*z**3 - 5000/13*z - 171 - 1/26*z**4. Find m such that v(m) = 0.
-1, 50
Let p(l) be the first derivative of 109 + 0*l + 14/5*l**2 - 1/15*l**3. Factor p(b).
-b*(b - 28)/5
Let n(h) = 2*h**3 + 43*h**2 + 100*h + 86. Let x(s) = 25*s**3 + 515*s**2 + 1200*s + 1030. Suppose 95*g + 805 = 72*g. Let q(r) = g*n(r) + 3*x(r). Factor q(i).
5*(i + 2)**2*(i + 4)
Let l = -5 + 27. Let z(c) = 2*c**2 - 44*c + 3. Let s be z(l). Solve -33*n**3 + 20*n**s - 4*n**2 - 2*n - 4*n + 15*n**3 = 0.
-1, 0, 3
Let b(c) be the second derivative of -1/72*c**4 + 80*c + 1/120*c**5 - 1/36*c**3 + 1/12*c**2 + 0. Find p such that b(p) = 0.
-1, 1
Let n(k) be the first derivative of 13512*k**4 - 84*k**3 - 260*k - 13511*k**4 - 309*k**2 - 185 + 51*k**2. Factor n(q).
4*(q - 65)*(q + 1)**2
Let g = 6/375395 + 2598108279/32283970. Let s = -300/43 + g. Determine c so that s*c**3 - 9 - 75/2*c - 9/2*c**2 - 45/2*c**4 = 0.
-2/5, -1/3, 1, 3
Let q = -295 - -343. Factor 24*x + q + 143*x**2 + 143*x**2 - 283*x**2.
3*(x + 4)**2
Let f(n) be the third derivative of n**7/840 - n**6/72 + n**5/15 - n**4/6 + 8*n**3 - 45*n**2. Let o(l) be the first derivative of f(l). Factor o(b).
(b - 2)**2*(b - 1)
Let r be (4284/(-1435) - 3) + 6. Let d = r - -147/41. Factor -4/5*o**2 - 18/5 - d*o.
-2*(o + 3)*(2*o + 3)/5
Let t = 52 - 50. Factor 74 - 37 + 4*s**2 - 37 - t*s**3 - 2*s.
-2*s*(s - 1)**2
Let y(n) be the third derivative of n**8/168 + 4*n**7/15 + 12*n**6/5 + 136*n**5/15 + 44*n**4/3 + n**2 + 620*n. Factor y(j).
2*j*(j + 2)**3*(j + 22)
Find o such that -4*o + 5*o**3 - 9*o**4 + 53 - 55 - 34 + 0*o - o**5 + 45*o**2 = 0.
-9, -2, -1, 1, 2
Let g be 1*(-10)/(-5)*((-165)/(-10) + -15). Factor 0*b + 2/5*b**2 + 0 + 2/5*b**g.
2*b**2*(b + 1)/5
Suppose 0 + 270*p**3 + 3/2*p + 543/2*p**2 = 0. What is p?
-1, -1/180, 0
Let g(m) be the second derivative of -m**8/15680 + 3*m**6/560 - m**4/3 - 7*m**3/6 + 8*m. Let r(l) be the third derivative of g(l). Suppose r(x) = 0. What is x?
-3, 0, 3
Let d = -7163/2910 + 242/97. Let j(r) be the third derivative of 0 + r**3 - d*r**6 + 2/3*r**4 + 1/10*r**5 - 17*r**2 + 0*r. Factor j(s).
-2*(s - 3)*(s + 1)*(2*s + 1)
Let w(q) be the third derivative of 1/300*q**6 + 0 + 1/10*q**4 + 0*q**3 + 0*q + 1/30*q**5 - 51*q**2. Factor w(p).
2*p*(p + 2)*(p + 3)/5
Let q = 582 + -1403. Let n = -819 - q. Let 4/5*b**n + 12/5*b + 0 = 0. What is b?
-3, 0
Let c be 5234/(-17) + (-5)/(-255)*-6. Let f = c + 932/3. Factor -f + 14/3*b - 4/3*b**2 - 2/3*b**3.
-2*(b - 1)**2*(b + 4)/3
Solve 2330 - 4026 - 273*s + 3*s**2 - 362 = 0.
-7, 98
Let f be (-1)/1 + 10 + 2. Let n = f + -6. Factor -10*p**3 + n*p**5 - 2*p**4 - 6*p**4 + 5 + 13*p**4 + 5*p - 10*p**2.
5*(p - 1)**2*(p + 1)**3
Suppose -26 = -4*p - 9*p. Determine k, given that 30*k**4 + 24*k**2 + 27*k**2 + 87*k**3 - 8*k + p*k = 0.
-2, -1, 0, 1/10
Let g(a) = -12*a**2 + 12*a - 18. Let c(v) = -17*v**2 + 18*v - 27. Let j(z) = -2*z**2 + 20*z + 43. Let m be j(12). Let o(q) = m*c(q) + 7*g(q). Factor o(l).
(l - 3)**2
Let f(d) = -2*d**2 - 14*d - 35. Let k(j) = j**3 - 42*j**2 + j - 38. Let b be k(42). Let p(s) = -2*s**2 - 16*s - 36. Let q(r) = b*f(r) - 5*p(r). Factor q(l).
2*(l + 2)*(l + 10)
Let v(i) be the third derivative of 1/48*i**4 + 0*i + 0 + 1/1680*i**7 - 1/240*i**6 - 1/12*i**3 + 1/160*i**5 + 195*i**2. Factor v(o).
(o - 2)**2*(o - 1)*(o + 1)/8
Let 512/3*y**3 + 1000/3*y - 436*y**2 - 224/3 + 20/3*y**4 = 0. What is y?
-28, 2/5, 1
Let j(x) be the second derivative of 5*x**7/42 - 3*x**5/4 + 5*x**4/6 - 1174*x. Find k such that j(k) = 0.
-2, 0, 1
Let b(j) = 5*j**2 - 12*j - 71. Let p be b(7). Let v be 6 + ((-1)/(-3))/(75/p). Factor -24/5*w**2 - v + 4/5*w**3 + 48/5*w.
4*(w - 2)**3/5
Determine c, given that -4*c - 812 + 130*c + c**2 + 157 = 0.
-131, 5
Suppose -594*t + 1126 = -62. Suppose -26 - 64*h + 5/2*h**t = 0. Calculate h.
-2/5, 26
Let y(q) be the first derivative of 2*q**5/5 + 5*q**4/2 - 16*q**3/3 - 12*q**2 + 800. Factor y(b).
2*b*(b - 2)*(b + 1)*(b + 6)
Let o be 0 + (-3)/((-9)/12). Let r(h) = 2*h**2 - h - 10. Let q be r(7). Factor 81 - o*m**2 - q.
-4*m**2
Let a(k) be the second derivative of 2*k**4 + k + 8/5*k**5 - 16/3*k**3 - 14*k**2 + 2/15*k**6 - 8. Solve a(w) = 0.
-7, -1, 1
Suppose 26*p - 168*p + 189 + 95 = 0. Let o be (-1)/(-3) - ((-52)/12 + 4). Solve 10/3*v**p - o*v**3 - 16/3*v + 8/3 = 0 for v.
1, 2
Let g(f) be the first derivative of 1/7*f**4 + 10 + 8*f + 58/7*f**2 + 64/21*f**3. Factor g(n).
4*(n + 1)**2*(n + 14)/7
Let b(k) be the first derivative of -k**8/5880 + k**7/980 + k**6/126 - 5*k**3/3 - 4*k**2 - 34. Let w(y) be the third derivative of b(y). Factor w(r).
-2*r**2*(r - 5)*(r + 2)/7
Let t = 169443 - 3219415/19. Suppose 4/19*l + t*l**2 - 6/19*l**3 + 0 - 2/19*l**4 + 2/19*l**5 = 0. What is l?
-1, 0, 1, 2
Let a = -41 + 109/2. Let o be (-1)/(((-14)/21)/(160/300) + 1). Factor -3/2*y**o - 81/2*y**2 + a*y**3 + 0 + 81/2*y.
-3*y*(y - 3)**3/2
Let x(r) be the second derivative of 8*r**6/45 + 7*r**5/3 - 553*r**4/9 + 272*r**3/9 + r + 3211. Find n, given that x(n) = 0.
-17, 0, 1/4, 8
Let k = -274 + 277. Find o such that 4*o**5 + 16*o**4 + 166*o**2 - 6 - 4 + 4 - 20*o + 16*o**k - 2 - 174*o**2 = 0.
-2, -1, 1
Suppose -368 = -30*s - 128. Let w(f) be the first derivative of 9 + s*f + 1/6*f**3 - 2*f**2. Factor w(h).
(h - 4)**2/2
Let g be -6*2/(-4)*2/3. Factor 10*x**2 - 14*x**2 - 16 - 6*x**3 + g*x**4 + 17*x + 7*x.
2*(x - 2)**2*(x - 1)*(x + 2)
Find q, given that 5*q**2 + q**3 - 10669 - 14*q + 10669 = 0.
-7, 0, 2
Let x(s) be the third derivative of s**7/1260 - 17*s**6/360 + s**5/2 - 43*s**4/18 + 56*s**3/9 - 3270*s**2. Find y, given that x(y) = 0.
2, 28
Factor -2/15*w**2 - 4548128/15 + 6032/15*w.
-2*(w - 1508)**2/15
Let z(b) be the second derivative of -3*b**5/20 + b**4 + 221*b**3/2 - 121*