2/3*v**4 - 36 - 2/15*v**6 - 1/5*v**5 - 2*v + 0*v**3 + 0*v**2. Let m(c) = 0. Calculate c.
-2, 0, 1
Let l = -86976 + 86978. Factor -1/7*v**l - 24/7*v + 0.
-v*(v + 24)/7
Let y(t) = -t**2 - 19*t - 81. Let j be y(-9). Let g be 148/666*(j - (0 + 0)). Factor 0*f + 3/2*f**g - 1/2*f**4 + 0 + f**3.
-f**2*(f - 3)*(f + 1)/2
Let t be (-8)/(-6)*(-33)/(-22) - -10. Factor -t*g**3 - 85*g**2 + 15*g**3 - 296*g - 5*g**4 + 336*g + 47*g**3.
-5*g*(g - 8)*(g - 1)**2
Let b(x) be the second derivative of -x**7/18 - 61*x**6/15 - 26*x**5/15 - 66*x + 17. Factor b(h).
-h**3*(h + 52)*(7*h + 2)/3
Let b(v) be the first derivative of 1/3*v**4 + 0*v + 4/9*v**3 + 0*v**2 - 41 + 1/15*v**5. Suppose b(c) = 0. Calculate c.
-2, 0
Factor -7328/3 - 10984/3*g + 4*g**2.
4*(g - 916)*(3*g + 2)/3
Suppose 5*v = -0*v - x + 446, -3*x - 175 = -2*v. Let j = 91 - v. Factor 5*s - 45 - s**2 - 4*s**j - 35*s.
-5*(s + 3)**2
Suppose 4234*j - 1635 = 3354 + 9848 + 2099. Let -2*r - 4/9*r**j - 2*r**3 - 4/9 - 28/9*r**2 = 0. What is r?
-2, -1, -1/2
Let d be 164 - 161 - (-2)/(-4). Suppose 4*h = 2*h - 3*w + 9, 2*h = -2*w + 8. Factor -5/2*s - d*s**2 + 5/2*s**h + 5/2.
5*(s - 1)**2*(s + 1)/2
Factor -532/9*x**2 + 2/9*x**3 - 178/3*x + 0.
2*x*(x - 267)*(x + 1)/9
Let w(a) = -6*a**3 - 3*a**2 - a + 1. Let f(k) = -k**2 + 7*k - 11. Let u be f(5). Let s be w(u). Factor 43*h**3 - h**2 + 8*h**4 + s*h**2 - 25*h**3.
2*h**2*(h + 2)*(4*h + 1)
Let z be 2148/32760 + 7/(-273)*2. Let b(p) be the third derivative of -p**3 + 0 + 16*p**2 + 0*p + 3/20*p**5 + 1/40*p**6 - 1/8*p**4 - z*p**7. Factor b(o).
-3*(o - 2)*(o - 1)*(o + 1)**2
Let s be (-5)/21*(-28 + 3480/75 + -19). Determine w, given that -1/7*w + s*w**3 - 1/7 + 1/7*w**2 = 0.
-1, 1
Let x(z) be the first derivative of 25/2*z**2 - 148 - 18*z + 16*z**3 + 5/4*z**4. Factor x(o).
(o + 1)*(o + 9)*(5*o - 2)
Let d(l) be the third derivative of -l**6/240 + 177*l**5/40 - 2835*l**4/2 - 54675*l**3 - 1191*l**2 + 3. Factor d(t).
-(t - 270)**2*(t + 9)/2
Let c(w) be the first derivative of -w**4/60 - w**3/10 + 2*w**2/5 - 61*w + 107. Let b(z) be the first derivative of c(z). Let b(j) = 0. What is j?
-4, 1
Let d(q) = -13*q**5 + 44*q**4 + 24*q**3 - 78*q**2 - 13*q + 39. Let n(x) = x**5 + x**4 + 4*x**2 - 3*x. Let u(r) = d(r) - n(r). Solve u(b) = 0.
-1, -13/14, 1, 3
Factor -113*w**2 + 756*w - 2281 - 1386*w + 370 - 27*w**3 - 1155*w - 364*w**2.
-3*(w + 13)*(3*w + 7)**2
Solve -1/6*m**2 + 33/2*m - 49/3 = 0.
1, 98
Let y(x) be the second derivative of x**5/5 + 52*x**4/3 + 298*x**3/3 + 196*x**2 - x - 97. Factor y(b).
4*(b + 1)*(b + 2)*(b + 49)
Let c be (-3)/((-15)/10)*1. Factor 74*r - 3*r**4 - 324*r - 410*r - 363 + 60*r**3 - 82*r**c - 152*r**2.
-3*(r - 11)**2*(r + 1)**2
Let s(v) be the first derivative of -4*v**3/3 + 170*v**2 + 344*v + 2041. Find b such that s(b) = 0.
-1, 86
Let g(m) be the first derivative of 4*m**3/3 + 52*m**2 - 924*m + 6209. Factor g(r).
4*(r - 7)*(r + 33)
Let s(k) = k**2 + k - 1. Let l(q) = -7*q**2 + 40*q**2 - 4 - 3*q**3 + 35*q + q**3 + 3. Let b(z) = -l(z) + s(z). Solve b(v) = 0 for v.
-1, 0, 17
What is x in -1/6*x - 5/6*x**2 + 1/6*x**3 + 5/6*x**4 + 0 = 0?
-1, -1/5, 0, 1
Let p = -5066 - -5082. Let c(n) be the third derivative of 1/48*n**4 + 1/8*n**3 + 0 + 0*n - 1/240*n**5 - p*n**2. Factor c(m).
-(m - 3)*(m + 1)/4
Let g = 2790 + -2788. Let t(q) be the third derivative of 16*q**g + 0 + 0*q**3 - 5/36*q**4 + 0*q + 1/36*q**5. Let t(w) = 0. Calculate w.
0, 2
Let z(c) be the third derivative of 0*c**4 + 0 + 0*c + 217*c**2 + 1/840*c**7 - 1/120*c**6 + 1/1344*c**8 - 1/60*c**5 + 0*c**3. Factor z(p).
p**2*(p - 2)*(p + 1)*(p + 2)/4
Let z(n) be the first derivative of 5*n**3/3 + n + 10. Let j be z(-1). Find t such that j - t - 79*t**2 + 80*t**2 + 6*t = 0.
-3, -2
Let k(b) = -8*b**2 - 48*b - 38. Let d be k(-5). Factor -26/5*w**3 + 0 - 24/5*w**d - 2/5*w**5 - 12/5*w**4 - 8/5*w.
-2*w*(w + 1)**2*(w + 2)**2/5
Suppose 10 = -4*l + 26, c + 2*l = -811. Let f be (c/70 - -12)*(-5)/(-2). Suppose 0 - 3/2*j**3 - 3/8*j**2 + 0*j - f*j**5 - 15/8*j**4 = 0. Calculate j.
-1, -1/2, 0
Let c(y) = 5*y - 20 + 0 + 2 - 6*y. Let m be c(-20). Determine q so that -8*q**m + 2*q**3 - 6*q**3 - q**3 + q**3 = 0.
-2, 0
Let y(p) = -21*p**2 + 74*p - 156. Let f(u) = 5*u**2 + u + 1. Let v(k) = 4*f(k) + y(k). Factor v(q).
-(q - 76)*(q - 2)
Determine a, given that -105*a**3 - 943/3*a**2 + 422*a - 8/3 = 0.
-4, 2/315, 1
Let h(m) = 3*m**2 - 2*m + 3. Let q(a) = -a**2 + 4*a + 6. Let f be q(5). Let w be h(f). Solve -t**w + 4*t**2 + 1481*t - 1481*t = 0 for t.
-2, 0, 2
Let s(m) be the first derivative of -m**5/10 + m**4/2 + m**3/3 - 3*m**2 - 112*m + 72. Let p(c) be the first derivative of s(c). Find a, given that p(a) = 0.
-1, 1, 3
Let h be 56/48*(-13 + 1480/112). Factor -5/8*r - 9/8*r**2 + h + 5/8*r**3 + 7/8*r**4.
(r - 1)*(r + 1)**2*(7*r - 2)/8
Factor 1/10*d**3 + 2046/5*d - 4356/5 + 13*d**2.
(d - 2)*(d + 66)**2/10
Let o(g) be the third derivative of g**6/540 + 2*g**5/135 - 29*g**4/108 + 8*g**3/9 - 1264*g**2. Factor o(n).
2*(n - 3)*(n - 1)*(n + 8)/9
Let k(j) be the first derivative of 3*j**5/5 + 93*j**4/2 + 1161*j**3 + 8748*j**2 - 976. Factor k(g).
3*g*(g + 8)*(g + 27)**2
Factor 87*j**2 + 110*j**2 + 50*j - j**3 + 2*j**3 - 212*j**2.
j*(j - 10)*(j - 5)
Let c be 6/(-8)*(-31992)/19995. Let v = -41 + 208/5. Solve 0*p + 0 + c*p**2 + v*p**3 = 0 for p.
-2, 0
Determine n, given that -22/5*n**2 - 2/5*n**4 + 0*n + 0 + 9*n**3 = 0.
0, 1/2, 22
Let h(r) be the third derivative of r**6/300 - 131*r**5/150 + 17*r**4/4 + 129*r**3/5 - 2*r**2 + 1012*r. Factor h(k).
2*(k - 129)*(k - 3)*(k + 1)/5
Suppose -16*x**2 - 128/3*x - 32 + 2/3*x**4 + 0*x**3 = 0. What is x?
-2, 6
Let r(d) = 19*d + 38*d**2 + 4 - 37*d**2 - 6*d. Let m be r(-13). Solve 5*l**m + 3*l**2 + 22*l + 15*l**3 - 10 - 37*l + 2*l**2 = 0 for l.
-2, -1, 1
Suppose 5*i - 59 = 2*o - 341, -4*i = 4*o - 620. Let b = o - 149. Factor 4/7 + 16/7*x**2 + b*x + 6/7*x**3.
2*(x + 1)**2*(3*x + 2)/7
Let l(i) be the first derivative of i**8/2240 - i**7/240 - 7*i**6/360 + i**5/20 - 2*i**3/3 - 17*i + 275. Let b(s) be the third derivative of l(s). Factor b(y).
y*(y - 6)*(y + 2)*(3*y - 2)/4
Let d(b) be the third derivative of b**7/420 - 3*b**6/40 + 11*b**5/40 - b**4/3 - 49*b**2 - 4*b. Suppose d(q) = 0. Calculate q.
0, 1, 16
Let m(h) = 7*h**2 - h + 1. Let f be m(2). Let w(s) be the first derivative of 3*s**2 - 19 + f*s**5 + 6*s**2 + 9 + 7*s**6 - 25*s**3. What is d in w(d) = 0?
-3, -1, 0, 2/7, 1/2
Let f = 54220 - 54216. Factor -4/3*b + 4/3*b**f + 1/3*b**5 + b**3 + 0 - 4/3*b**2.
b*(b - 1)*(b + 1)*(b + 2)**2/3
Let f be -31 + (-17)/((-102)/186). Factor 8*m + 32/3 - 2/3*m**3 + f*m**2.
-2*(m - 4)*(m + 2)**2/3
Let o(t) be the second derivative of t**6/90 - 543*t**5/5 + 884547*t**4/2 - 960618042*t**3 + 2347270185627*t**2/2 - 600*t - 4. Factor o(r).
(r - 1629)**4/3
Let o(c) = c**3 + 31*c**2 - c - 35. Let r be o(-31). Let d be ((-24)/15)/r*3. Let 0 + 0*y + 3/5*y**2 + 3/5*y**3 - d*y**4 = 0. What is y?
-1/2, 0, 1
Factor -96/7*o - 2/7*o**3 + 26/7*o**2 + 72/7.
-2*(o - 6)**2*(o - 1)/7
Let p(r) = -91*r - 1. Let m be p(-1). Let d = -5015 + 5019. Find b, given that -75*b**5 + 26*b**2 + b**3 + 103*b**3 - 2*b**2 + m*b**d + 4*b**3 = 0.
-2/5, 0, 2
Let y be (-3072)/(-702) - (-2)/(-9). Let w = -231/65 + y. Find p such that 12/5 + w*p**2 - 3*p = 0.
1, 4
Suppose 0 = 3*b - 4*t - 54 + 13, 4*t = -2*b - 26. Suppose -1/4*l**b + 3456 + 18*l**2 - 432*l = 0. What is l?
24
Let t be (4/60*-106)/(4/6). Let l = t - -1151/85. Find s such that -24/17*s**2 + 14/17*s**3 - l*s - 12/17 = 0.
-1, -2/7, 3
Let h(l) be the second derivative of l**5/10 + 119*l**4/6 + 3599*l**3/3 + 3481*l**2 + 5186*l. Determine w, given that h(w) = 0.
-59, -1
Let v = -10196483/13 - -784345. Let 2/13 - 2/13*p**2 - 2/13*p**3 + v*p = 0. Calculate p.
-1, 1
Let u = -643494/11 - -58500. Suppose -8/11*g**4 + 0*g + 0 + 0*g**2 + 2/11*g**5 + u*g**3 = 0. Calculate g.
0, 1, 3
Suppose -2*j = -7*j. Suppose -3*s + 2*s + 6 = j. Factor -4*a**2 - 21*a - 5 + 6*a - s*a**2.
-5*(a + 1)*(2*a + 1)
Let l(f) be the second derivative of -7*f**6/540 + 19*f**5/540 + f**4/54 + 24*f**3 - 58*f. Let j(h) be the second derivative of l(h). Factor j(n).
-2*(n - 1)*(21*n + 2)/9
Let v = 117 + -101. Factor -v*a + 18*a - 14*a + 3*a**3 + 6*a**2 - 24.
3*(a - 2)*(a + 2)**2
Let c(s) be the third derivative of s**7/1365 - s**6/390 - s**5/130 + s**4/