= 21150 + -105749/5. Find r such that 24/5*r + 144/5 + f*r**2 = 0.
-12
Let p(s) = -3*s**3 - 102*s**2 - 3467*s - 12098. Let v(j) = -10*j**3 - 300*j**2 - 10402*j - 36293. Let q(n) = -35*p(n) + 10*v(n). Suppose q(o) = 0. Calculate o.
-55, -4
Factor 176/7*q + 4/7*q**3 + 0 - 96/7*q**2.
4*q*(q - 22)*(q - 2)/7
Let n be -17 + 23 + -23 - -20. Let o(r) be the third derivative of 0*r - 34*r**2 + 3/20*r**5 - 1/80*r**6 + 1/16*r**4 + 0 - 3/2*r**n. Let o(c) = 0. Calculate c.
-1, 1, 6
Let c = 4 - -4. Let u be (60/c - 8)*(-4)/1. Factor -3*g**3 - 5*g**u + g**4 + 0*g**3 + g**4 + 3*g - g**4 + 4.
(g - 4)*(g - 1)*(g + 1)**2
Suppose 2*t = -2*b + 16, 3*b + 2*b - 4*t + 5 = 0. Suppose b*g = 316 - 121. Factor -g*x**2 + 20*x**3 - 3*x + 14*x - 4*x + 8*x.
5*x*(x - 3)*(4*x - 1)
Let g be -7 + (5 - (-180)/(-25))*-5. Let s be g - ((-49)/(-15) + (-147)/245). Factor 8/3 + s*n + 1/6*n**2.
(n + 4)**2/6
Let b(d) be the first derivative of -2*d**5/5 + 115*d**4/2 - 218*d**3/3 - 567*d**2 - 684*d - 1583. Find o, given that b(o) = 0.
-1, 3, 114
Let v(y) be the first derivative of -y**5/140 + y**4/14 + 37*y**3/42 + 15*y**2/7 + 191*y - 6. Let w(z) be the first derivative of v(z). Factor w(g).
-(g - 10)*(g + 1)*(g + 3)/7
Let r = 13 + 12. Factor 385*c**3 - 4*c**2 + 99*c**2 + r*c**4 - 295*c**3 + 30*c.
5*c*(c + 1)*(c + 2)*(5*c + 3)
Let k(u) be the third derivative of -1/80*u**6 + 0*u**3 + 1/420*u**7 + 0*u + 0 - 1/120*u**5 + 1/16*u**4 + 138*u**2. Factor k(g).
g*(g - 3)*(g - 1)*(g + 1)/2
Solve 4*y**2 - 16/7 + 12/7*y = 0.
-1, 4/7
Let x be (10/((-2400)/(-270)))/(2/16). Let m(n) be the first derivative of -5/3*n - 2/3*n**2 - x + 1/9*n**3. Determine c, given that m(c) = 0.
-1, 5
Let q be (368/(-5796)*-7)/(0 + 4). Factor -2/9*h**3 - q*h**4 + 0 - 1/9*h**2 + 0*h.
-h**2*(h + 1)**2/9
Solve 4*z**3 - 99*z**2 + 8020*z - 352 - 8204*z + 271*z**2 = 0 for z.
-44, -1, 2
Factor 12*q**2 - 60 + 21 - 313 - 2301*q - 224.
3*(q - 192)*(4*q + 1)
Suppose 0 = 112*t - 105*t. Let c = 167 + -163. Determine a, given that t + 1/4*a**c - 3/4*a**3 + 0*a + 1/2*a**2 = 0.
0, 1, 2
Let o(v) be the third derivative of 0*v**4 + 0*v + 0 + 53/90*v**5 - 4/9*v**3 - 7/45*v**7 - 101*v**2 + 0*v**6. Solve o(a) = 0.
-1, -2/7, 2/7, 1
Let n(b) be the first derivative of -b**2 + 26 + 1/4*b**4 - 21*b + 1/6*b**3. Let t(o) be the first derivative of n(o). Solve t(x) = 0.
-1, 2/3
Suppose 8*p = -3*p + 3201. Let u = 294 - p. Factor 0 - v - 6*v**2 - 27/4*v**u.
-v*(3*v + 2)*(9*v + 2)/4
Factor -832/7 + 400/7*v - 1/7*v**3 - 44/7*v**2.
-(v - 4)**2*(v + 52)/7
Let l(q) be the third derivative of 1/2*q**3 + 1/12*q**4 + 1/210*q**7 - 1/15*q**5 - 9*q - 1/60*q**6 + 5*q**2 + 0. Suppose l(k) = 0. Calculate k.
-1, 1, 3
Let u(v) = 17*v + 151. Let p be u(-9). Let t be p/7 - 4/(-14). Factor -5/4*h**5 + 0*h**2 + 0 + t*h**4 + 5/2*h**3 - 5/4*h.
-5*h*(h - 1)**2*(h + 1)**2/4
Let i(h) = 24*h**2 + 79*h - 5. Let y(u) = 5*u**2 + 3*u - 1. Let t(s) = i(s) - 5*y(s). Factor t(q).
-q*(q - 64)
Let r(n) be the second derivative of n**4/21 + 46*n**3/21 + 152*n**2/7 - 1192*n - 1. Factor r(b).
4*(b + 4)*(b + 19)/7
Let l(c) be the third derivative of c**6/3420 + 7*c**5/570 + 49*c**4/228 + 32*c**3/3 + 125*c**2. Let k(p) be the first derivative of l(p). Factor k(b).
2*(b + 7)**2/19
Let q(x) be the first derivative of -4/21*x**3 - 165 + 0*x**2 + 16/7*x. Solve q(y) = 0.
-2, 2
Find r, given that 5571*r**2 - 4527 + 4530*r - 11161*r**2 + 5587*r**2 = 0.
1, 1509
Let w be (-1276)/(-10)*(-2115456)/(-69256). Determine r, given that 0 - w*r**3 + 552*r**2 - 96/5*r - 5046/5*r**4 = 0.
-4, 0, 2/29
Suppose 7*c + 124 + 86 = 0. Let w be c/(-60) - (-3)/2. Determine p so that 8/5 - w*p**2 - 8/5*p + 6/5*p**3 = 0.
-1, 2/3, 2
Suppose -i + 20 = -q + 4*i, 5*q + 5*i - 50 = 0. Solve 30*d**2 - 252*d - 30*d**4 + 2*d**5 - 72*d**3 + 0*d**5 + 327*d - 5*d**q = 0.
-5, -1, 0, 1
Let n(p) = p**2 + 10*p + 1089. Let l be n(0). Solve -14*w**3 + 1101*w**2 + 2*w + 5*w**4 - 1 - l*w**2 - 4*w = 0.
-1/5, 1
Let b = -18 + 38. Let q be 8/(-36) + b/9. Factor r - r + r**2 - q*r + r**2.
2*r*(r - 1)
Factor -10*k**2 + 6*k**3 + 13*k**2 - 13*k**2.
2*k**2*(3*k - 5)
Let h(u) be the first derivative of u**5/5 + 23*u**4 + 2596*u**3/3 + 11040*u**2 + 57600*u + 1105. Determine g, given that h(g) = 0.
-40, -6
Let w(b) be the third derivative of 3/5*b**5 - 136*b**2 + 0*b + 0*b**3 - 51/40*b**6 + 21/16*b**8 + 0 - 8/5*b**7 + 1/2*b**4. Suppose w(u) = 0. What is u?
-2/7, 0, 1/3, 1
Solve -3/2*q**3 + 1296 + 417/2*q**2 + 1071*q = 0 for q.
-3, -2, 144
Let r(a) be the third derivative of 250*a**2 + 5/12*a**4 + 0 + 0*a + 1/12*a**5 - 25/2*a**3. Factor r(h).
5*(h - 3)*(h + 5)
Factor 0 + 2/3*l + 1043/3*l**2.
l*(1043*l + 2)/3
Let v be 65/(-78)*15*(-11)/275. Let u be (-2)/4 + (-1)/(-1). Factor -1/2*m**2 - 1/2*m + v*m**3 + u.
(m - 1)**2*(m + 1)/2
Let j(d) = 2232*d**3 + 3*d**2 + 9*d. Let r(t) = -t**4 + t**2 + 3*t. Let b(c) = j(c) - 3*r(c). Let b(s) = 0. What is s?
-744, 0
Solve 2/11*w**4 + 165870/11*w**2 + 487350/11*w + 1146/11*w**3 + 0 = 0.
-285, -3, 0
Let m(u) be the first derivative of 15/2*u - 31/4*u**2 - 116 + 17/6*u**3 - 1/8*u**4. Determine z, given that m(z) = 0.
1, 15
Suppose -2901*m - 438*m + 9528 = 1425*m. Factor 2/21*l**3 + m + 38/21*l**2 - 82/21*l.
2*(l - 1)**2*(l + 21)/21
Let f(x) be the first derivative of -5/3*x**3 + 5/12*x**4 - 20 - 11*x + 5/2*x**2. Let u(d) be the first derivative of f(d). Solve u(p) = 0.
1
Let b = 66/1147 - -4258/5735. Determine x, given that 324/5*x + 0 + b*x**4 + 76/5*x**3 + 396/5*x**2 = 0.
-9, -1, 0
Let q(l) be the first derivative of l**6/9 - 6*l**5/5 + 7*l**4/6 + 10*l**3 + 28*l**2/3 - 689. Solve q(u) = 0.
-1, 0, 4, 7
Let d(h) = 5*h**3 - 15*h**2 + 3*h - 5. Let x be d(3). Determine a so that -180*a + 40 - 35*a**5 - 218*a**2 + 199*a**2 + 129*a**2 - 60*a**x + 125*a**3 = 0.
-2, 2/7, 1
Let v(i) be the first derivative of i**5/100 - i**4/20 + 2*i**2/5 - 38*i + 55. Let n(j) be the first derivative of v(j). Factor n(g).
(g - 2)**2*(g + 1)/5
Suppose 0 = 2*s + 4*l + 251 - 118 - 107, 5*l = -40. Solve -4/5*a**5 + 16/5*a**2 + 0*a**s + 0 + 0*a - 12/5*a**4 = 0.
-2, 0, 1
Let k be ((-6627)/(-24299))/(6/44). Suppose 2/9*i**k - 2/3 - 4/9*i = 0. What is i?
-1, 3
Factor 312*n - 920*n - 304704*n**2 - 306912*n**3 + 304*n - 4*n**5 - 2212*n**4 + 304*n.
-4*n**2*(n + 1)*(n + 276)**2
Factor 1/5*c**2 + 720 + 24*c.
(c + 60)**2/5
Let r(q) = -8*q + 54. Let o(w) = 8*w - 52. Let y(k) = -3*o(k) - 4*r(k). Let a be y(8). Factor 108*p**2 - 432*p - 12*p**3 + 1/2*p**a + 648.
(p - 6)**4/2
Factor 10477*g**2 - 25*g**3 - 5347*g**2 - 258*g + 743*g - 5240*g**2 + 255 - 45.
-5*(g - 3)*(g + 7)*(5*g + 2)
Let u(n) be the second derivative of -n**4/18 + 2116*n**3/9 + 8656*n. Let u(q) = 0. Calculate q.
0, 2116
Let r be 1151/(-8) - 40/320. Let z be 5/4 + 63/r*-4. Let 1/3*y**z - 1/3*y + 2/3 - 2/3*y**2 = 0. What is y?
-1, 1, 2
Let o(f) be the second derivative of -23*f**5/20 + 58*f**4/3 + 1705*f**3/6 - 75*f**2 - 8405*f. Factor o(g).
-(g - 15)*(g + 5)*(23*g - 2)
Let k(y) = 27*y**3 - 354*y**2 - 363*y + 26. Let c(r) = -26*r**3 + 356*r**2 + 368*r - 26. Let s(f) = 2*c(f) + 3*k(f). Factor s(b).
(b - 13)*(b + 1)*(29*b - 2)
Let h(f) be the first derivative of -2*f**3/21 - 898*f**2/7 - 403202*f/7 + 2353. Factor h(y).
-2*(y + 449)**2/7
Let z(b) be the third derivative of -26*b**2 + 16/9*b**3 + b + 0 - 23/45*b**5 - 2/45*b**6 - 13/9*b**4. Solve z(n) = 0.
-4, -2, 1/4
Factor -1/3*m**3 - 47/3*m + 11 + 5*m**2.
-(m - 11)*(m - 3)*(m - 1)/3
Let s(m) be the third derivative of m**8/5040 - m**7/420 - m**6/10 - 29*m**5/20 - 4*m**2 + 1. Let y(b) be the third derivative of s(b). Factor y(i).
4*(i - 6)*(i + 3)
Let v(l) be the third derivative of -17*l**2 + 5/3*l**4 + 7/24*l**6 + 19/12*l**5 - 10/3*l**3 + 0 + 2*l. Let v(z) = 0. Calculate z.
-2, -1, 2/7
Let 24*g**3 - 30*g**3 + 155*g**2 + 40 + 240 + 67*g**2 + 212*g**2 - 984*g = 0. Calculate g.
1/3, 2, 70
What is g in 234 - 213/5*g - 192/5*g**2 + 3/5*g**3 = 0?
-3, 2, 65
Let i(d) be the first derivative of 27/2*d**2 - 44 - 24*d - d**3. Let i(w) = 0. What is w?
1, 8
Let z = 14393884/7 + -2056268. Suppose z + 46/7*m**2 + 2*m**3 + 40/7*m = 0. Calculate m.
-2, -1, -2/7
Suppose -4*n - 33 = -133. Let -1372 - 84*c**2 - 21*c**3 + 50*c**3 + 588*c - n*c**3 = 0. What is c?
7
Suppose 0 = -10*j + 2 + 28. Let c be (-3 + j)*(8/6 + -1). Factor c*n + 2/7*n**4 + 2/7 + 0*n**3 - 4/7*n