15*p**2 + 0*p - 4/3*p**3 = 0. Calculate p.
-2, -1, 0, 4
Let w(r) = -r + 88. Let p be w(20). Suppose 44 = -12*x + p. Factor -8/3*k - 4/3*k**x + 0.
-4*k*(k + 2)/3
Suppose -3*l = -20 + 8. Suppose -1 = -y, l - 18 = -3*h - 5*y. Solve -15*t + 4*t**3 + t**h + 7 - 17 = 0.
-1, 2
Let t(a) be the first derivative of a**7/399 - 2*a**6/285 - 3*a**5/190 - 35*a - 75. Let r(z) be the first derivative of t(z). Solve r(g) = 0 for g.
-1, 0, 3
Let t(u) be the second derivative of u**5/80 - 55*u**4/48 - 19*u**3/4 + 2*u - 1335. Factor t(r).
r*(r - 57)*(r + 2)/4
Let u(q) be the third derivative of 2*q**7/105 - 282*q**6/5 + 714022*q**5/15 + 238854*q**4 + 1434818*q**3/3 - 2087*q**2. Factor u(s).
4*(s - 847)**2*(s + 1)**2
Let l = -6 + 10. Suppose a - 6*a - l*j = -64, -2*a + 5*j + 19 = 0. Factor -21*c**2 + a*c - 6 + 4*c**2 + 14*c**2 - 3.
-3*(c - 3)*(c - 1)
Let n be -6*(4960/(-24))/10. Factor 27*p - n*p - 5*p**3 + 30 + 40*p**2 + 32*p.
-5*(p - 6)*(p - 1)**2
Let p(a) be the first derivative of a**3 + 3654*a**2 + 4450572*a + 3935. Factor p(q).
3*(q + 1218)**2
Let n be 9648/11 - (-18)/(-198). Determine s, given that 32*s**5 - 24*s**5 + 254*s**4 - 512*s**2 + n*s**3 + 1107*s**3 = 0.
-16, 0, 1/4
Let p = -21/14788 - -147943/44364. Suppose p*j**3 - 8 - 34/3*j - 2/3*j**4 + 2/3*j**2 = 0. What is j?
-1, 3, 4
Suppose 4*o + 4*c = 7*o + 34, 4*c = -20. Let z be o/(-6)*51/9. Let 20*m + z*m**2 + 0*m**3 - 13*m**2 - m**3 - 3*m**3 + 12 = 0. What is m?
-1, 3
Let p(i) be the first derivative of -i**6/18 + 19*i**5/15 - 10*i**4 + 28*i**3 - 1103. Factor p(x).
-x**2*(x - 7)*(x - 6)**2/3
Let a(o) be the second derivative of 4/195*o**6 + 1/273*o**7 + 5 + 0*o**2 - 5*o - 4/39*o**3 - 2/39*o**4 + 3/130*o**5. Determine g so that a(g) = 0.
-2, -1, 0, 1
Let d = -3983/660 - -598/99. Let f(o) be the third derivative of 0 + d*o**6 + 0*o**4 + 0*o - 1/45*o**5 + 0*o**3 - 38*o**2. Factor f(k).
2*k**2*(k - 2)/3
Let r be (-5)/(-2)*(-212)/(-265). Factor 49 + 93*i - 1465*i**r + 1468*i**2 + 41.
3*(i + 1)*(i + 30)
Let i(c) be the first derivative of -c**6/21 - 2*c**5/5 + 45*c**4/14 + 2*c**3/3 - 44*c**2/7 - 2400. Let i(u) = 0. What is u?
-11, -1, 0, 1, 4
Suppose -8712/5 - 10634/5*c**2 - 1014/5*c**3 - 29568/5*c = 0. Calculate c.
-66/13, -1/3
Let j = -101 - -103. Solve 2*d + 282*d**2 + d**4 - 142*d**j - 141*d**2 - 2*d**3 = 0.
-1, 0, 1, 2
Let h(p) = 3*p**2 + 63*p + 46. Let j be h(-21). Find z such that 11 + j*z + 12*z**3 - 10*z + 40*z**2 - 3 = 0.
-2, -1, -1/3
Let t(s) be the first derivative of -s**5/20 + s**4/2 - 2*s**3 + 41*s**2 + 140. Let j(w) be the second derivative of t(w). Factor j(q).
-3*(q - 2)**2
Let p(b) be the first derivative of -2*b**3/9 + 398*b**2/3 + 266*b + 2244. Factor p(w).
-2*(w - 399)*(w + 1)/3
Find a such that -2*a**2 - 2135 + 39133 + 3*a**2 - 6318 + 73004 - 644*a = 0.
322
Let s = 372 + -335. Let l be ((-40404)/(-792))/s - (-5)/(-6). Factor -12/11*j - l - 6/11*j**2.
-6*(j + 1)**2/11
Let t(h) = -h**3 + 7*h**2 + 9*h + 7. Let i be t(8). Suppose i*b - 19*b = -104. Factor 8*a**2 + b - 18 - 9*a**2 - 2*a.
-(a - 2)*(a + 4)
Let j(m) = -m**2 - 59*m - 531. Let l be j(-11). Let g(c) = c**3 + 13*c**2 + 30*c + 2. Let r be g(l). Factor 2/5*q**r + 2/5*q + 0.
2*q*(q + 1)/5
Let q be (1463/84 - 8) + -1*9. Let u(y) be the second derivative of -q*y**4 + 5/3*y**3 - 5/2*y**2 + 9*y + 0. Factor u(d).
-5*(d - 1)**2
Let c(q) = 6*q**2 + 710*q - 1423. Let y(r) = -3*r**2 - 354*r + 711. Let l(p) = 3*c(p) + 7*y(p). Factor l(x).
-3*(x - 2)*(x + 118)
Let p(f) be the first derivative of f**4 + 20*f**3 + 76*f**2 + 96*f - 455. Suppose p(g) = 0. What is g?
-12, -2, -1
Let d(n) be the second derivative of n**7/39 + 41*n**6/39 + 33*n**5/10 - 97*n**4/78 - 436*n**3/39 - 108*n**2/13 + 2323*n. Let d(m) = 0. Calculate m.
-27, -2, -1, -2/7, 1
Let q = -12883 + 12883. Let l(t) be the third derivative of 8*t**3 + 0 + 1/80*t**5 + q*t + 22*t**2 - 1/2*t**4. What is n in l(n) = 0?
8
Let n(g) be the first derivative of -g**5/270 - g**4/36 + 4*g**3/27 - 33*g**2 - 47. Let t(r) be the second derivative of n(r). Factor t(d).
-2*(d - 1)*(d + 4)/9
Let l(c) be the first derivative of 3*c**5/5 - 3*c**4 - 37*c**3 - 102*c**2 - 108*c + 747. Factor l(b).
3*(b - 9)*(b + 1)*(b + 2)**2
Let t(b) = 4*b**2 + 748*b - 79196. Let h(l) = 11*l**2 + 2252*l - 237589. Let g(x) = 6*h(x) - 17*t(x). Solve g(k) = 0.
199
Let v(u) = u**4 - u**3 - 2*u**2 - u - 4. Let j(z) = 22*z**4 - 184*z**3 - 6*z**2 + 180*z - 26. Let m(q) = j(q) - 2*v(q). Solve m(i) = 0.
-1, 1/10, 1, 9
Let d(w) = -w**3 - 16*w**2 + 17*w + 4. Let f be d(-17). Let f*z**2 + 200*z + 1981 + 298 + 221 = 0. What is z?
-25
Let r = 133 + -85. Let y be (2 + 10/(-3))*r/(-32). Find a, given that 37*a - 4*a**2 - 125 + 13*a - 7*a**2 + 6*a**y = 0.
5
Suppose -14*v - 166 - 1458 = 0. Let p be v/(-638) + 3/(66/40). Factor 196/5*x**p + 16/5 - 112/5*x.
4*(7*x - 2)**2/5
Suppose -2*v + 0*v + 4 = 0. Suppose 392*g = 404*g - 24. Determine l, given that 11*l - v*l**3 + 2*l**4 + 1 - g - 3 - 6*l**2 - l = 0.
-2, 1
Let p(x) be the third derivative of -22/75*x**5 + x + 4/5*x**4 + 0*x**3 + 0 + 1/525*x**7 - 13*x**2 + 2/75*x**6. Solve p(o) = 0 for o.
-12, 0, 2
Let z be 54/(-24)*8/3 - 1. Let m be 9/24*(z + 13 + 2). Factor -6/17*x - 2/17*x**m + 2/17 + 6/17*x**2.
-2*(x - 1)**3/17
Factor -155*k - 49*k**3 - 95*k + 173 + 135 + 58 - 118*k**2 + 51*k**3.
2*(k - 61)*(k - 1)*(k + 3)
Let p = 63 - 59. Suppose -p*h + 3*u + 18 = -h, 3*u + 13 = 2*h. What is x in 45*x**4 - x**h - 91*x**4 + 51*x**4 = 0?
0, 5
Suppose -132 = -109*a + 166 + 29. Let o(x) be the second derivative of -2/9*x**4 + 20*x + 0*x**a + 0 - 1/45*x**6 + 0*x**2 - 2/15*x**5. Factor o(n).
-2*n**2*(n + 2)**2/3
Suppose d - 2*d - 3*h - 3 = 0, 0 = 3*d + 2*h - 5. Factor 80*l**d + 160*l + l**5 - 35 - 160*l**2 - 20*l**4 - 31 + l**5 - 31 + 33.
2*(l - 2)**5
Let t(i) = -i**3 + 14*i**2 + 34*i - 28. Let y be t(16). Factor 6*v**2 - 2*v**5 - 2*v**5 + 46*v**y - 20*v**3 - 30*v**4 + 2*v**2.
-4*v**2*(v - 2)*(v - 1)**2
Let i(v) = v**3 - v**2 + v - 1. Let j(r) = -9*r**3 - 9*r + 6. Let x be (1 - 1)/((-8)/4) - -3. Let l = -2 + x. Let z(f) = l*j(f) + 6*i(f). What is u in z(u) = 0?
-1, 0
Find g such that -309 - 50*g**2 + 620*g**2 - 1881*g + 20*g**4 + 275*g**3 - 839*g + 949 = 0.
-8, 1/4, 2
Let q(b) = 2*b**3 + 4*b**2 + 8*b. Let t(y) = -30*y + 54*y - 10*y**3 - 19*y**2 - 65*y + 1. Let z(x) = 11*q(x) + 2*t(x). Solve z(g) = 0.
-1
Let k = 21 + -229/11. Let t be (-25)/(-8) + (-3)/24. Factor 10/11*g - 6/11*g**2 - 4/11 + 2/11*g**4 - k*g**t.
2*(g - 1)**3*(g + 2)/11
Let h(u) = -u - 37. Let d be h(-36). Let b(n) = 8*n**3 + 20*n**2 + 14*n + 3. Let y(p) = -p**3 + 2*p - 1. Let k(x) = d*b(x) - 3*y(x). Factor k(z).
-5*z*(z + 2)**2
Let q(g) = g**2 - 3*g - 3. Let a be q(-6). Factor a + 68*t**2 + 54*t - 140*t**2 + 75*t**2.
3*(t + 1)*(t + 17)
Let x be (4/6)/(((-21528)/20223)/(-13)). Let k = x - -14/23. Factor -k*y + 5/4*y**4 - 25/4*y**3 + 45/4*y**2 + 5/2.
5*(y - 2)*(y - 1)**3/4
Let d(g) be the first derivative of -269/12*g**2 - 261/8*g**4 + 5*g - 88 - 9/10*g**5 + 89/2*g**3. Factor d(w).
-(w + 30)*(3*w - 1)**3/6
Let x be (1 + 0)/(3/(-6)). Let l be (2*x/8)/(1/(-6)). Let -2*o**l - 3*o**3 + 8*o - 10 + 7*o = 0. Calculate o.
-2, 1
Let v be -21 - (42/(-18) + -20). Suppose 16/3*d**3 + 20/3*d**2 + v*d + 0 = 0. What is d?
-1, -1/4, 0
Suppose 0 = 27*k + 20*k - 235. Let h = -45 + 49. Determine p so that -6*p**2 + 1/2*p**k + 0 - p**3 + 9/2*p + 2*p**h = 0.
-3, 0, 1
Let x(l) be the first derivative of l**6/51 - 32*l**5/85 + 36*l**4/17 - 432*l**2/17 - 6121. Find o such that x(o) = 0.
-2, 0, 6
Determine g, given that -2700 - 1/3*g**4 + 86/3*g**3 - 2580*g - 1669/3*g**2 = 0.
-2, 45
Factor -1458 - 94*l**2 - 12*l**2 - 6*l**2 + 114*l**2.
2*(l - 27)*(l + 27)
Suppose -438 = 5*n - 7*l - 461, -16 = -3*n + 2*l. Determine z so that -n*z**2 + 34/3*z - 82/3*z**3 - 8*z**4 - 2 = 0.
-3, -1, 1/4, 1/3
Let h(w) be the first derivative of -w**5/15 + w**4/4 + 47*w**3/3 - 143*w**2/6 + 4716. Determine y so that h(y) = 0.
-11, 0, 1, 13
Let a(q) be the second derivative of q**5/30 - q**4 - 55*q**3/3 - 250*q**2/3 + 3*q + 43. Factor a(m).
2*(m - 25)*(m + 2)*(m + 5)/3
Let k(r) be the first derivative of -r**6/21 + 52*r**5/7 + 198*r**4/7 + 796*r**3/21 + 19*r**2 - 5048. Factor k(l).
-2*l*(l - 133)*(l + 1)**3/7
Let g(s) be the second derivative of -12*s + 0 + 8/3*s**3 + 0*s**2 + 1/3*s**4. Fact