r n + 0*g**3 + 0*g + 9/7*g**4 + 6/7*g**5 - 3/7*g**2.
3*g**2*(g + 1)**2*(2*g - 1)/7
Let v be (-162)/36 - 8 - (8 - 22). Suppose -1/4*n**3 + 1/4*n**4 + 13/4*n - 7/4*n**2 - v = 0. Calculate n.
-3, 1, 2
Suppose -12 + 10 = -2*o, 3*w - 3*o = 9. Let d(s) be the third derivative of 0*s + 0 - 1/42*s**7 + 1/12*s**5 + 0*s**6 + 0*s**3 + 0*s**w - s**2. Factor d(k).
-5*k**2*(k - 1)*(k + 1)
Let m(x) be the first derivative of -20/3*x**3 + 0*x - 4*x**5 + 5/6*x**6 + 15/2*x**4 - 140 + 5/2*x**2. Determine q so that m(q) = 0.
0, 1
Let i(z) = -221*z + 3757. Let x be i(17). Find j such that x*j**4 + 0*j + 0*j**2 - 5/2*j**5 + 5/2*j**3 + 0 = 0.
-1, 0, 1
Let n(a) be the first derivative of 121/36*a**3 - 50 - 11/72*a**4 - 13/2*a**2 + 0*a + 1/360*a**5. Let t(q) be the second derivative of n(q). Factor t(c).
(c - 11)**2/6
Let y(n) be the first derivative of n**6/54 - 22*n**5/9 - 25*n**4/2 - 680*n**3/27 - 455*n**2/18 - 38*n/3 + 1622. Factor y(b).
(b - 114)*(b + 1)**4/9
Let g be ((-4)/(-38))/1 + 1136/38. Let i be 6/(-4)*(-10)/g. Factor 5*p + i*p**2 + 25/2.
(p + 5)**2/2
Let q be -20 - ((-12690)/230 - -35). What is h in -q*h**2 + 18/23 - 34/23*h = 0?
-9, 1/2
Let p(r) be the first derivative of r**4/7 - 4*r**3 + 76*r**2/7 + 1966. Factor p(y).
4*y*(y - 19)*(y - 2)/7
Let y(d) be the third derivative of d**7/210 + d**6/60 - d**5/15 - d**4/12 + d**3/2 + 394*d**2. Solve y(k) = 0 for k.
-3, -1, 1
Let b(j) be the third derivative of j**7/630 + 11*j**6/72 - 19*j**5/60 - 55*j**4/72 + 28*j**3/9 + 15*j**2 + 12. Find w such that b(w) = 0.
-56, -1, 1
Let t(h) = -4*h**2 - 30*h - 5. Let c be t(-7). Let o be 8/(-36) + (-3 - (-113)/c). Factor 1/3*z**4 + 2401/3 + 98*z**2 + o*z**3 + 1372/3*z.
(z + 7)**4/3
Suppose -2*k - 1117 = b - 1121, 2*b + k - 2 = 0. Factor -5/3*y**3 - 4/3*y + b - 4*y**2.
-y*(y + 2)*(5*y + 2)/3
Let j = -5 + 7. Let v be (9 + -1)*1*1/j. Let v*m**2 - 7*m**2 + m**3 + 8*m**2 = 0. Calculate m.
-5, 0
Let h(y) = 2*y**3 + 189*y**2 + 959*y - 1150. Let o(f) = -f**3 - 192*f**2 - 957*f + 1150. Let w(x) = -6*h(x) - 7*o(x). Factor w(j).
-5*(j - 46)*(j - 1)*(j + 5)
Let v = 332886 + -1664429/5. Factor -i**3 + i + 0 - v*i**2 + 1/5*i**4.
i*(i - 5)*(i - 1)*(i + 1)/5
Let c(z) = z**3 - z**2 - z - 4. Suppose -4*t - 6 = -18. Let m be c(t). Factor 2*b**3 - b - 6 - b**5 + m - 5.
-b*(b - 1)**2*(b + 1)**2
Factor -227136*v - 456/7*v**4 + 22476/7*v**3 + 3/7*v**5 - 1687296/7 - 326352/7*v**2.
3*(v - 52)**3*(v + 2)**2/7
Let h(q) = 9242*q**2 - 427*q + 5. Let r(f) = 9243*f**2 - 428*f + 5. Suppose 84*m = 89*m - 10. Let x(z) = m*h(z) - 3*r(z). Solve x(i) = 0 for i.
1/43
Let v = -4137 - -4140. Let j(h) be the first derivative of 1/27*h**6 + 0*h + 4/15*h**5 + 13/18*h**4 + 15 + 4/9*h**2 + 8/9*h**v. Suppose j(k) = 0. Calculate k.
-2, -1, 0
Let h be (-5)/((-140)/118)*-38. Let w = h - -161. Factor -30/7*s + w*s**2 + 24/7.
6*(s - 4)*(s - 1)/7
Let f = 11255 + -11252. Let q(s) be the second derivative of -15*s + 1/80*s**5 + 1/12*s**4 - 1/2*s**2 + 0 - 1/24*s**f. Factor q(j).
(j - 1)*(j + 1)*(j + 4)/4
Let s be 233280/(-10692) + (21 - -1). Suppose s*b**2 + 0 + 4/11*b = 0. Calculate b.
-2, 0
Factor -111*v**2 + 248*v + 4*v**3 + 221*v**2 + 224 - 50*v**2 + 64.
4*(v + 2)*(v + 4)*(v + 9)
Factor -64*i + 125*i - 59*i**4 + 55*i**4 + 336*i**2 + 291*i + 72*i**3.
-4*i*(i - 22)*(i + 2)**2
Factor 4018/13*g - 188/13*g**2 + 2/13*g**3 + 19208/13.
2*(g - 49)**2*(g + 4)/13
Let o = 30077 + -150383/5. Let l be 4/6*-1 + (-504)/(-270). Factor 8/5*n - l - o*n**2.
-2*(n - 3)*(n - 1)/5
Solve 1302 + 4*n**2 + 2483*n - n**2 - 1424*n - 1716*n = 0.
2, 217
Let w(h) be the first derivative of -147*h**4/4 - 5131*h**3 - 197580*h**2 + 410700*h - 1766. Factor w(t).
-3*(t - 1)*(7*t + 370)**2
Let u(a) = 43*a - 254. Let q be u(6). Factor 15*g**2 + g + 12*g**q - 225*g**3 + 9*g + 165*g**3 + 23*g**4.
5*g*(g - 1)**2*(7*g + 2)
Let m(a) be the second derivative of -a**5/110 - 2*a**4/3 - 259*a**3/33 + 4573*a - 2. Factor m(p).
-2*p*(p + 7)*(p + 37)/11
Let w(m) = -m**4 + 2*m**3 - 2*m**2 + 2*m. Let x(l) = 11*l - 650 + 11*l**3 - 6*l**4 - 11*l**2 + 650. Let q(r) = -33*w(r) + 6*x(r). Solve q(d) = 0 for d.
0
Let r(t) be the second derivative of t**6/180 + 71*t**5/60 + 1583*t**4/24 - 5183*t**3/9 + 5329*t**2/3 + 1570*t. Let r(j) = 0. Calculate j.
-73, 2
Let c(d) = d**3 - 13*d**2 + 8*d - 78. Let m be c(13). Suppose 41*h = -m*h + 134. Factor 10/9*i - 2/9*i**h + 0.
-2*i*(i - 5)/9
Let y(n) be the third derivative of n**6/20 - n**5/20 - n**4/8 + 5*n**3/6 + 57*n**2. Let s(l) = -l**3 + l**2 - 1. Let w(k) = 5*s(k) + y(k). Factor w(i).
i*(i - 1)*(i + 3)
Let k(a) be the first derivative of 10/3*a**3 - 5/2*a**2 - 5/4*a**4 + 38 + 0*a. Factor k(m).
-5*m*(m - 1)**2
Suppose -7604 + 7614 = 2*v. Let x(i) be the second derivative of 0 + 3/8*i**v + 0*i**3 + 5/12*i**4 - 11*i + 0*i**2 - 5/12*i**6. Factor x(o).
-5*o**2*(o - 1)*(5*o + 2)/2
Let f(q) be the third derivative of 0 - 1/24*q**6 + 2/15*q**5 + 131*q**2 + 0*q**3 + 0*q - 1/6*q**4 + 1/210*q**7. Solve f(i) = 0.
0, 1, 2
Let p(v) be the second derivative of -3*v**5/10 + 5*v**4/3 + 27*v**3 - 28*v**2 - 2014*v. Solve p(r) = 0 for r.
-4, 1/3, 7
Let t be (((-10)/16)/(-5))/(3276/390). Let k = t + 835/336. Find m, given that -30 + 40*m + k*m**3 - 35/2*m**2 = 0.
2, 3
Factor 249/2*i**2 + 3/8*i**3 + 1983/8*i + 495/4.
3*(i + 1)**2*(i + 330)/8
Factor 32*r**2 + 246394 + 23*r**3 - 3*r + 3*r - 246394 - 9*r**4.
-r**2*(r + 1)*(9*r - 32)
Let a = -24 + 33. Suppose -q = a*q - 150. Suppose -20*j**2 + 10 + q*j**3 - 10*j + 0 + 5*j = 0. Calculate j.
-2/3, 1
Let y = -45 - -54. Suppose 5*h + y = 84. Factor -24*s**2 - 14*s**3 + 3*s - 5*s**4 - h*s - s**3 + 2*s**4.
-3*s*(s + 1)*(s + 2)**2
Let w be 10/(-3)*(-3240)/16200. Let b = -6/11 - -29/33. Suppose -1/3*o + 2/3*o**3 - b*o**5 + w*o**2 - 1/3*o**4 - 1/3 = 0. Calculate o.
-1, 1
Suppose 0 = 5*h - 3*j - 1038, -4*h + 3*h + j = -208. Let w = 210 - h. Let 0*q + 1/4*q**2 + 0 - 1/4*q**w = 0. Calculate q.
0, 1
Let d(i) = -i**3 - 15*i**2 + 14*i - 30. Let f be 4/(-18) - (-2130)/(-135). Let y be d(f). Find n, given that -1/3*n**3 + n - 3/2*n**y + 5/6 = 0.
-5, -1/2, 1
Factor 6204 + 20303 - 12709 - h**2 - 880*h - 207398.
-(h + 440)**2
Let o(h) = 19*h**2 - 55*h + 36. Let g(n) = 6*n**2 - 18*n + 12. Let v = 595 + -588. Let q(l) = v*g(l) - 2*o(l). Suppose q(r) = 0. What is r?
1, 3
Factor -58/7 - 50/7*d**4 - 220/7*d**3 + 2/7*d**5 - 230/7*d - 340/7*d**2.
2*(d - 29)*(d + 1)**4/7
Factor -189*i - 42*i**2 + 881 + 808 - 3*i**3 - 2736 + 777.
-3*(i + 3)*(i + 5)*(i + 6)
Suppose -31*r + 55 = -7. Let n(b) be the first derivative of 0*b**r - 8/3*b**3 + 5 + 0*b - b**4. Find h, given that n(h) = 0.
-2, 0
Let a be (-846)/5640 + (-166)/(-40). Let s(p) be the first derivative of 0*p**2 + 21/10*p**5 + 9/2*p**3 - 45/8*p**a + 28 + 0*p - 1/4*p**6. Solve s(c) = 0 for c.
0, 1, 3
Let s(i) be the first derivative of 44/3*i**3 + i**4 - 144*i + 48*i**2 - 50. Find b, given that s(b) = 0.
-6, 1
Let i(u) be the first derivative of -1/180*u**6 + 0*u + 21 - 6*u**3 + 1/6*u**4 - 1/60*u**5 + 0*u**2. Let p(y) be the third derivative of i(y). Factor p(f).
-2*(f - 1)*(f + 2)
Suppose -954 = -4*x - 5*x. Let n = x - 59. Factor 21*k**2 - 16*k + 5*k**3 + 19*k**2 + n*k**3 + 14*k**4.
2*k*(k + 2)**2*(7*k - 2)
Let g be (26/130)/((-1)/(-10) - 0). Let x = 19 + -11. Factor 4*u - x*u**g + 18*u**2 - 11*u**2 + 5.
-(u - 5)*(u + 1)
Factor 178/21*k**2 + 520/21*k + 344/21 + 2/21*k**3.
2*(k + 1)*(k + 2)*(k + 86)/21
Let n(x) be the first derivative of -2*x**6/3 + 48*x**5/5 + 31*x**4 - 152*x**3/3 - 120*x**2 + 224*x - 962. Let n(j) = 0. Calculate j.
-2, 1, 14
Let -610*t + 2*t**4 - 250*t**3 + 5521*t + 1553*t**2 + 3027*t + 3698*t**2 + 2435*t**2 = 0. What is t?
-1, 0, 63
Let l be (6 - 3) + (-2 - 0 - 0). Solve 57 - 80*k**2 - 48*k - 2 - 68*k + l - 12*k**3 - 8 = 0.
-4, -3, 1/3
Let q = 311 - 1235/4. Let m be ((-756)/(-128))/(-7)*(-4)/3. Factor -3/8*v + 0 - m*v**5 - 15/4*v**4 - q*v**2 - 9/2*v**3.
-3*v*(v + 1)**3*(3*v + 1)/8
Let n be 1*(((-2)/6)/(1/3))/(221/(-442)). Determine c, given that -1/4*c**4 - 3/4*c**3 - 5/4*c + 0 + 9/4*c**n = 0.
-5, 0, 1
Let l = 803797/42 + -19138. Let z(c) be the second derivative of 10*c + 0 + 0*c**2 + l*c**3 + 0*c**4 - 1/140*c**5. Factor z(n).
-n*(n - 1)*(n + 1)/7
Let u be ((2 - 450/234)*-10)/(48/(-52)). Solve -735/2 + 305/3*v**3 + u*v**5 + 95/6*v**4 + 695/3*v**2 + 35/2*v = 0 for 