z**2 - y. Factor b(a).
(a - 2)*(a - 1)**2/7
Let m(o) be the first derivative of -53/15*o**3 - 3/40*o**4 + 1/12*o**6 - 12/5*o - 5*o**2 - 187 + 16/25*o**5. Find v, given that m(v) = 0.
-6, -1, -2/5, 2
Let y(u) be the first derivative of -81/11*u**2 - 8/11*u**4 - 20/11*u - 26 - 112/11*u**3. Factor y(l).
-2*(l + 10)*(4*l + 1)**2/11
Solve -1209606/7*m**2 - 1/7*m**4 - 1796/7*m**3 - 362075396/7*m - 40642963201/7 = 0 for m.
-449
Let p(m) be the first derivative of -m**3/3 + 10*m**2 - 36*m - 1357. Factor p(u).
-(u - 18)*(u - 2)
Let f(b) be the second derivative of -b**6/105 - 29*b**5/35 - 184*b**4/21 - 566*b**3/21 - 255*b**2/7 + 504*b. Find v, given that f(v) = 0.
-51, -5, -1
Suppose -931 + 4261 = 74*d. Find k, given that -6*k**4 - 8*k**3 + d*k**2 - 18*k**2 - k + 9*k**5 - 21*k**2 = 0.
-1, 0, 1/3, 1
Let f(d) = -2*d**3 + 4*d**2 + 3*d + 12. Let g = 33 + -30. Let q be f(g). Factor 0*u + 0 - 2/7*u**q - 2/7*u**2.
-2*u**2*(u + 1)/7
Suppose 6*o + o + 4557 = 0. Let v be (5 - o/(-133))*2. Find h, given that 2/19*h**3 + 0*h - 2/19*h**5 - v*h**2 + 4/19*h**4 + 0 = 0.
-1, 0, 1, 2
Let z(x) be the third derivative of x**7/420 - x**6/120 + x**5/80 + 5*x**4/24 - x**3/2 + 16*x**2 + 2*x. Let u(p) be the second derivative of z(p). Factor u(h).
3*(2*h - 1)**2/2
Suppose -23*f + 21*f = -60. Suppose -5*g + 40 = f. Factor -t**g + 100 - 51 - 52 - 4*t.
-(t + 1)*(t + 3)
Let d(i) = -i**3 - 27*i**2 + 81*i + 52. Let q(c) = -3*c**3 - 32*c**2 - 141 + 246 + 161*c - 22*c**2. Let s(w) = -14*d(w) + 6*q(w). Let s(h) = 0. Calculate h.
-1/2, 7
Let y(f) = f**5 - 60*f**4 + 1524*f**3 + 230*f**2 - 4737*f + 3042. Let b(i) = -3*i**4 - i**3 + i**2 + 3*i. Let q(u) = -6*b(u) - y(u). Let q(a) = 0. Calculate a.
-2, 1, 39
Let t(b) = -110*b**2 + 110*b + 90. Let u(s) = 56*s + 1 + 3 - 5*s**2 - 51*s. Let f(a) = 2*t(a) - 45*u(a). Let f(o) = 0. What is o?
0, 1
Let a(x) = 8*x**2 + 6*x - 36. Let w = -10 - -6. Let j(p) = p**3 + 32*p**2 + 24*p - 144. Let n(g) = w*j(g) + 18*a(g). Factor n(y).
-4*(y - 3)**2*(y + 2)
Let c(a) = a**2 - 12*a + 37. Let h be c(11). What is i in i**2 + 8*i**2 + 36 - 13*i - 2*i**2 - h*i - 4*i**2 = 0?
1, 12
Let l(x) be the first derivative of -x**5/30 - x**4/2 - 47*x**2/2 - 23. Let v(o) be the second derivative of l(o). Factor v(u).
-2*u*(u + 6)
Suppose 15*u - 11*u - 380 = 0. Find x, given that -u + 6*x**2 - 6*x - 21*x**4 - 30*x**3 + 110 + 39*x - 3*x**5 = 0.
-5, -1, 1
Suppose 124/5*i - 4/5*i**3 + 112/5*i**2 - 232/5 = 0. What is i?
-2, 1, 29
Let n = 238171/3 + -79390. Find v, given that -7/3*v**3 - 1/6*v**5 - 8/3*v**2 - v**4 - n - 3/2*v = 0.
-2, -1
Let y be (-2166)/1805 - (-302)/210. Let p(w) be the second derivative of -1/70*w**5 + 0*w**2 - y*w**3 - 1/7*w**4 + 30*w + 0. Solve p(b) = 0 for b.
-5, -1, 0
Let o(q) be the third derivative of 4*q**7/735 - 1303*q**6/84 + 1178853*q**5/70 - 213175827*q**4/28 - 53367669*q**3/7 - 104*q**2 + 2*q. Factor o(m).
2*(m - 543)**3*(4*m + 1)/7
Find l, given that -118/7*l**3 + 0 - 2/7*l**5 - 38/7*l**4 + 120/7*l + 38/7*l**2 = 0.
-15, -4, -1, 0, 1
Suppose 10*x = 695 + 425. Factor -16*q**3 - 5*q**4 - 62*q**2 + q**3 + x*q**2.
-5*q**2*(q - 2)*(q + 5)
Suppose -24*w = -68 - 4. Suppose n - w*j + 2 = 11, -3 = -n + j. Let n + 3/5*z**3 - 6/5*z + 3/5*z**2 = 0. Calculate z.
-2, 0, 1
Let d be ((-160)/(-448))/(5/16). Factor 4*f**2 + 0 - 36/7*f**3 + d*f.
-4*f*(f - 1)*(9*f + 2)/7
Let b(c) = -c**3 + 7*c**2 + 19*c - 6. Let h be b(9). Factor 16*m**4 + 16*m**4 - 28*m**4 + 11*m**2 + 12*m**3 - h*m**2 + 0*m**2.
4*m**2*(m + 1)*(m + 2)
Factor -6*t**2 - 6*t**2 - 8*t**2 + 45 + 30*t**2 - 4*t**2 + 39*t.
3*(t + 5)*(2*t + 3)
Let j(s) = 6*s**4 + 234*s**3 + 213*s**2 - 15*s. Let a(c) = 15*c**4 + 585*c**3 + 534*c**2 - 36*c. Let z(x) = 5*a(x) - 12*j(x). What is o in z(o) = 0?
-38, -1, 0
Let b(s) be the first derivative of -s**5/5 - 7*s**4/2 - 16*s**3/3 + 48*s**2 - 472. Let b(z) = 0. What is z?
-12, -4, 0, 2
Let w(d) = 5*d**2. Let j(c) = -2*c**3 + 275*c**2 - 856*c + 568. Let y(r) = j(r) + 3*w(r). Factor y(b).
-2*(b - 142)*(b - 2)*(b - 1)
Factor 4*s**5 - 1912*s**4 - 2850552*s**2 + 97829*s**3 - 15793054*s**2 + 64307264*s - 64456*s**3 + 1660502*s**2 - 63108992 + 273795*s**3.
4*(s - 158)**3*(s - 2)**2
Let v(q) be the first derivative of -10*q**5 + 2720*q**4 - 196564*q**3 - 118592*q**2 - 23762*q + 4008. Factor v(l).
-2*(l - 109)**2*(5*l + 1)**2
Let x = 1230169/15 - 246032/3. Let l be (-4)/(-18) + 2/(-9). Factor l + x*k**2 + 0*k.
3*k**2/5
Let f(m) be the first derivative of -26*m**3 - 3/4*m**4 + 165/2*m**2 - 84*m + 75. Factor f(k).
-3*(k - 1)**2*(k + 28)
Let f(c) be the third derivative of c**8/7840 + c**7/1764 + c**6/1260 - c**4/24 - 80*c**3/3 - 171*c**2. Let p(o) be the second derivative of f(o). Factor p(h).
2*h*(h + 1)*(3*h + 2)/7
Factor -188/11 + 98/11*g - 2/11*g**2.
-2*(g - 47)*(g - 2)/11
Let m(z) be the second derivative of -49*z**6/90 - 9912*z**5/5 - 18037006*z**4/9 + 2292032*z**3 - 2947592*z**2/3 + 2845*z. Let m(h) = 0. Calculate h.
-1214, 2/7
Let v = 458/39 + -1715/156. Factor -3/4*s**2 - v*s + 3/2.
-3*(s - 1)*(s + 2)/4
Solve -8/17 - 24/17*l - 12/17*l**3 - 26/17*l**2 - 2/17*l**4 = 0 for l.
-2, -1
Suppose -30*y + 44 = -31*y. Let d = 46 + y. What is z in -8*z - 3 - 47*z - 12 + 20*z**d = 0?
-1/4, 3
Let w(a) be the third derivative of a**7/210 + 7*a**6/40 + 51*a**5/20 + 427*a**4/24 + 49*a**3 - 276*a**2 + 5. Solve w(v) = 0.
-7, -6, -1
Let j(v) = 5*v**2 + 4*v - 39. Let h be j(6). Let z be h/(-44) + -4*(-6)/4. Let 0 + 0*n - 3/2*n**2 - z*n**3 + 9/4*n**4 + 3/2*n**5 = 0. Calculate n.
-2, -1/2, 0, 1
Let k be (-110)/275 + (72/(-30))/(-3). Suppose -3872/5 + 176/5*d - k*d**2 = 0. What is d?
44
Let i = -356232 + 356234. Find z such that 9/5*z**i + 0*z + 0 - 1/5*z**3 = 0.
0, 9
Let a = -33/112 + 389/560. Factor -6/5*i**3 - a*i**4 + 0*i + 0 + 0*i**2.
-2*i**3*(i + 3)/5
Let y(f) = -63*f**3 - f + 1. Let w be y(1). Let j = w - -67. Determine l so that -18*l + 27*l - 13*l + 4*l**3 - 4*l**j + 4*l**2 = 0.
-1, 0, 1
Let t = 120 + -70. Let n = 53 - t. Factor -q**5 - 60*q**4 - 2*q**2 - 31*q**n + 56*q**4 + 26*q**3.
-q**2*(q + 1)**2*(q + 2)
Let k(y) be the second derivative of 26/3*y**3 - 6*y**2 + 12/5*y**5 + 13*y - 79/12*y**4 - 3/10*y**6 - 3. Factor k(c).
-(c - 3)*(c - 1)*(3*c - 2)**2
Factor 160*q + 98*q - 2*q**3 + q**3 + 15*q**2 + 109*q - 291*q.
-q*(q - 19)*(q + 4)
Let k(r) be the first derivative of r**3/9 + 13*r**2/3 + 88*r/3 + 32. Find l, given that k(l) = 0.
-22, -4
Factor 15672 + 655*h + 68*h - 9*h**2 + 13*h**2 - 14979 - 3*h**3 + 23*h**2.
-3*(h - 21)*(h + 1)*(h + 11)
Let b(x) = -x**4 - x**3 + 2*x**2 - 4. Let q(k) = -112*k**4 + 1808*k**3 + 3528*k**2 + 1904*k + 272. Let d(l) = -12*b(l) + q(l). Suppose d(t) = 0. What is t?
-1, -2/5, 20
Let b = -94988/3 - -31110. Let y = b + 554. Find o, given that 160/3*o**2 - y - 8*o = 0.
-1/10, 1/4
Let q(i) = 4*i**3 - 38*i**2 - 6*i + 114. Let p(m) = -3*m**3 + 35*m**2 + 6*m - 113. Let z(c) = -6*p(c) - 5*q(c). Factor z(u).
-2*(u - 2)*(u + 3)*(u + 9)
Let s be 3/(99/(-550)*-1). Let k be (-38)/(-6) + (10 - 8). Let 5/3*r**5 - k*r**4 + 25/3*r - 50/3*r**2 + s*r**3 - 5/3 = 0. What is r?
1
Let a(d) be the third derivative of d**5/15 - 149*d**4/3 + 198*d**3 - 926*d**2. Suppose a(q) = 0. Calculate q.
1, 297
Let i(m) be the second derivative of -9/100*m**5 + 5/2*m**2 - 7/20*m**4 - 47 + 1/6*m**3 - 2*m. What is g in i(g) = 0?
-5/3, 1
Suppose -6 + 86 = 40*x. Let i(w) be the second derivative of 0 + 4/25*w**6 + 2/5*w**5 - 6*w - 2/5*w**x - 11/15*w**3 - 3/35*w**7 - 1/3*w**4. Solve i(r) = 0.
-1, -1/3, 1, 2
Let p be 199733/(-84940) - (-2 + (-10)/(-8)). Let z = -1/685 - p. Factor 0 + 0*j - z*j**4 - 4/5*j**3 + j**5 + 0*j**2.
j**3*(j - 2)*(5*j + 2)/5
Let f = -7202 - -7202. Let y(p) be the second derivative of 0 + 1/20*p**4 + f*p**2 - 25*p + 1/10*p**3. Factor y(i).
3*i*(i + 1)/5
Let p(r) = 20*r**2 + 140*r - 1. Let j be p(-7). Let o be (2 - j)/(23 + -22). Factor 12/5 + 2*i - 4/5*i**2 - 2/5*i**o.
-2*(i - 2)*(i + 1)*(i + 3)/5
Let c(z) = z + 1. Let y(a) = -25*a - 17*a - 114 - 3*a**2 + 0*a**2. Let i(x) = -20*x + 14. Let g be i(1). Let w(q) = g*c(q) - y(q). Factor w(h).
3*(h + 6)**2
Suppose 0 = d + i - 111, 4*d + 5*i + 223 = 672. Suppose d = 48*p - 38. What is c in 0*c - 8/9*c**p + 8/9*c**2 + 0 + 2/9*c**4 = 0?
0, 2
Let v(m) be the first derivative of -27*m**3/4 - 121*m**2/6 + m/3 - 208. Factor v(i).
-(i + 2)*(24