(p).
-2*(p - 45)*(p - 3)/7
Let z(w) = 47*w - 184. Let s be z(4). Find b such that 37 - 71 - 2*b**4 + 4*b**3 - s*b + 36 = 0.
-1, 1
Let n(g) be the second derivative of -5*g + 43/24*g**5 + 35/9*g**3 + 5/252*g**7 + 1/3*g**6 + 0*g**2 + 25/6*g**4 - 2. Find b such that n(b) = 0.
-7, -2, -1, 0
Solve 0 - 1/3*n**5 - 2*n**2 - 8/3*n**4 - 13/3*n**3 + 0*n = 0.
-6, -1, 0
Suppose 3*d + 3*j = -23 + 35, 3*d - 4*j = -2. Suppose 2*n - 3 = -3*w - d, -5*n - 2*w = -8. Factor 3/4*a**3 + 15/4*a**n + 9/4*a - 27/4.
3*(a - 1)*(a + 3)**2/4
Let g(s) = -14*s**2 - 43*s - 177. Let t be g(-4). Let p = 232 + t. Factor 4/5 + 0*u - 3/5*u**2 - 1/5*u**p.
-(u - 1)*(u + 2)**2/5
Let f be -1*(-1 + 0)*(2 - -1). Factor -66 - 22 + f*d**2 + 4*d**2 - 20 - 4*d**2 - 105*d.
3*(d - 36)*(d + 1)
Factor 14*m - 100/7 + 2/7*m**2.
2*(m - 1)*(m + 50)/7
Let y(x) be the first derivative of x**5/40 - x**4/48 + x**2 + 81*x - 66. Let r(g) be the second derivative of y(g). Factor r(o).
o*(3*o - 1)/2
Let a(r) be the first derivative of 3*r**5/5 - 39*r**4/2 + 193*r**3 - 468*r**2 + 432*r - 719. Find h, given that a(h) = 0.
1, 12
Let y(b) = 20 + 5 - 26 - b + 20. Let m be y(17). Determine p so that -p**m + p**2 - 7 + 4 + 3*p**2 = 0.
-1, 1
Factor -1016/7 + 512/7*j - 2/7*j**2.
-2*(j - 254)*(j - 2)/7
Let z(o) = -o**4 - 39*o**3 - 23*o**2 + 14. Let w(l) = l**4 + 19*l**3 + 7*l**2 - 6. Let p(s) = -7*w(s) - 3*z(s). Solve p(m) = 0 for m.
-5, 0, 1
Let g(q) be the second derivative of -7*q**5/10 - 131*q**4 - 1001*q**3/3 - 222*q**2 + 456*q. Factor g(b).
-2*(b + 1)*(b + 111)*(7*b + 2)
Let v(n) = -8*n**2 - 19049*n - 19106. Let z(f) = -f**2 - 3175*f - 3184. Let m(l) = -2*v(l) + 13*z(l). Factor m(t).
3*(t - 1060)*(t + 1)
Let d(t) be the first derivative of 91 - 7/4*t - 5/8*t**4 - 11/4*t**2 - 1/20*t**5 - 2*t**3. Determine z so that d(z) = 0.
-7, -1
Let s(c) be the third derivative of -c**6/120 + 8*c**5/15 + 11*c**4/8 - 2*c**2 + 193. Factor s(r).
-r*(r - 33)*(r + 1)
Let z be 3*(-6)/(-27)*3. Let x = -6/659 - -3984/3295. Factor x*a - 3/5 - 3/5*a**z.
-3*(a - 1)**2/5
Let 774 + 1426*f + 273 - 25*f**4 - 1534*f - 627*f**2 - 211*f**3 - f**5 - 75 = 0. What is f?
-9, -6, -2, 1
Suppose 3*k = 3*r, -r - 436 = 4*k - 446. Let g(s) be the first derivative of s**3 - 1/4*s**4 - 3 + 0*s - s**k. Factor g(b).
-b*(b - 2)*(b - 1)
Let l(t) be the first derivative of -1/22*t**4 + 20/11*t - 3/11*t**2 - 4/11*t**3 + 60. Find d, given that l(d) = 0.
-5, -2, 1
Let n be (-2 - -1)*((-24)/4 + (9 - 7)). Determine c so that -1/4*c**3 + c**2 - n + c = 0.
-2, 2, 4
Let x(g) = 11*g**4 - 47*g**3 + 16*g**2 + 63*g - 5. Let c(j) = -6*j**4 + 24*j**3 - 8*j**2 - 30*j + 2. Let h(i) = 5*c(i) + 2*x(i). What is b in h(b) = 0?
-3/4, 0, 2
Suppose -6*w - 5*w + 88 = 0. Factor 7921*f - 3*f**3 - 7921*f + 7*f**3 + w*f**2.
4*f**2*(f + 2)
Determine t so that -4/5*t**5 + 0 + 0*t + 224/5*t**4 + 0*t**2 + 1764/5*t**3 = 0.
-7, 0, 63
Let g be (-6)/(-6) - (1 - 4/2). Solve -40*p**3 + g + 3*p**2 - 6*p - 5 + 43*p**3 + 3*p = 0.
-1, 1
Let t(y) = 2*y**2 + y + 1. Let h(m) be the first derivative of -4*m**3 - 8*m**2 + 68*m - 31. Let q(s) = h(s) + 4*t(s). Factor q(g).
-4*(g - 3)*(g + 6)
Let n = 26280 - 131836/5. Let o = n + 1318/15. Factor -4/3*v + 2/3*v**2 + o.
2*(v - 1)**2/3
Let j(k) be the second derivative of 1/24*k**4 - 1/9*k**3 - k**2 - 7*k + 0 + 1/120*k**5. Factor j(h).
(h - 2)*(h + 2)*(h + 3)/6
Let k be 2480 + (2 - (0 + 5)) - 2. Solve 12*i - 90*i**4 + 5670*i**2 + 465*i**4 + 1944 + 5496*i + k*i**3 = 0.
-3, -6/5
Find w such that -1/6*w**4 - 1537/6*w**3 + 1537/6*w + 0 + 1/6*w**2 = 0.
-1537, -1, 0, 1
Let y = -13 + 17. Let h be -1*(y/(-4) + -11). Factor 22*b - 4*b**4 - 8*b**3 - 33*b + 16 + h*b**2 + 43*b.
-4*(b - 2)*(b + 1)**2*(b + 2)
Suppose 177*d = -61*d. Factor d + 5/4*b**2 - 35/2*b.
5*b*(b - 14)/4
Let h be (854/70 - 12) + 405/225. Determine w, given that 81/5*w - 21/5*w**3 + 27/5*w**h + 3/5*w**4 - 162/5 = 0.
-2, 3
Suppose -10 = 2*h, 4*n + 3*h + 1 - 6 = 0. Solve -t**3 + 0*t - n*t**2 + 5 - 4*t - 5 = 0 for t.
-4, -1, 0
Suppose 13*k - 50 = 8*k. Suppose -1292 = -k*d + 6*d. Factor 23*w**3 + 167*w + 7*w**4 + 160*w - d*w + 20*w**2.
w*(w + 1)*(w + 2)*(7*w + 2)
Factor -22771*x + 2209*x**2 + 16 + 18727*x + 1819*x**2.
4*(x - 1)*(1007*x - 4)
Let f(n) be the first derivative of 1/2*n**4 + 2/55*n**5 + 4/11*n**2 - 28/11*n**3 + 43 + 112/11*n. What is b in f(b) = 0?
-14, -1, 2
Let f = 248 - 358. Let c = f - -112. What is z in 8*z**2 + 0*z**3 + 10*z**4 - 15 + 25*z - 3*z**c - 25*z**3 + 0*z**2 = 0?
-1, 1, 3/2
Suppose o + 140 = k - 3, -314 = -2*k - 5*o. Solve -24*h - 163 + 16*h**4 + 6*h**3 - 17*h**4 - h**2 + k = 0.
-1, 4
Suppose f = w - 41, -2*f - 3*w + 35 = -3*f. Let z be f/55*5/(-2). Factor 95 - 12*r - 95 - 23*r**z + 2*r**2.
-3*r*(7*r + 4)
Let m(p) be the first derivative of -15*p**4/16 - 43*p**3/12 - 3*p**2 + p - 729. Suppose m(b) = 0. Calculate b.
-2, -1, 2/15
Find l such that -24*l + 135*l**2 - 5*l**4 + 8*l**3 + 7*l - 3*l - 50*l - 68*l**3 = 0.
-14, 0, 1
Let h(o) be the second derivative of 0*o**2 + 169/6*o**3 + 143/12*o**4 - 5/4*o**5 + 249*o + 1/30*o**6 + 0. Let h(j) = 0. What is j?
-1, 0, 13
Let l(m) = 18*m**3 + 4*m**2 - 14*m - 2. Let k(f) = -9*f**4 + 2*f**2 + 7*f**4 - f**3 + f**4 + 1 - f - 3*f**2. Let u(q) = -2*k(q) - l(q). Factor u(g).
2*g*(g - 8)*(g - 1)*(g + 1)
Let r(l) = 105*l**3 + 3850*l**2 + 5655*l - 3140. Let i(m) = -35*m**3 - 1283*m**2 - 1886*m + 1047. Let y(h) = -10*i(h) - 3*r(h). Solve y(n) = 0 for n.
-35, -2, 3/7
Let a be (148/(-111)*-1)/((-84)/(-18)). Determine i, given that -12*i**2 + 2/7*i + 12 - a*i**3 = 0.
-42, -1, 1
Let p(f) be the third derivative of -f**6/1440 - f**5/120 - f**4/32 - 79*f**3/6 + 4*f**2 + 7. Let g(i) be the first derivative of p(i). Solve g(h) = 0.
-3, -1
Let d(q) be the second derivative of -1/20*q**5 + 8/3*q**3 - 6*q**2 - 1/4*q**4 + 4 - 11*q. Factor d(u).
-(u - 2)*(u - 1)*(u + 6)
Let y = -145/47 + 5141/1316. Let u = y - 9/28. Determine n, given that 1/2*n**2 + 0 + u*n = 0.
-1, 0
Suppose 6728/3 - 1/12*o**4 - 77/4*o**3 + 1160*o - 6611/6*o**2 = 0. What is o?
-116, -1, 2
Let a be (8/5)/(16/40). Let m be 2*((-10)/4 + a). Factor -5 - 4*w**m - 12*w**2 - 6*w + 10*w + 0*w**3 + 17.
-4*(w - 1)*(w + 1)*(w + 3)
Let d = -71767 + 215302/3. What is g in -1/3*g**2 + d*g + 0 = 0?
0, 1
Let u = 6 + -2. Let y be -9 + 0 + 85 + 395. Suppose u*d**2 - y*d**3 + 0*d + 0*d + 475*d**3 = 0. Calculate d.
-1, 0
Let h(x) be the third derivative of x**5/100 + 573*x**4/40 + 2*x**2 - 2236*x. Determine c so that h(c) = 0.
-573, 0
Let c = 198 + -195. What is g in 19*g**4 + g**5 - 15*g**4 + g**5 - 6*g**c = 0?
-3, 0, 1
Let n(h) be the third derivative of -33/8*h**4 + 17/2*h**3 + 1/40*h**6 - 165*h**2 + 3/4*h**5 + 0*h + 0. Factor n(m).
3*(m - 1)**2*(m + 17)
Factor -1474*v + 2*v**3 + 1110 + 1382*v**2 - 2450*v**2 + 1430*v**2.
2*(v - 3)*(v - 1)*(v + 185)
Let u(o) = -2*o**2 + 25*o + 15. Let x be u(13). Factor -360*m - 5*m**3 - 76*m**x + 540 + 32*m**2 + 26*m**2 + 93*m**2.
-5*(m - 6)**2*(m - 3)
Let c(m) = -m**2 - 16*m + 3. Let z be c(-16). Find n, given that 30*n**2 + 593*n**3 + 595*n**z - 1193*n**3 = 0.
0, 6
Let s(r) be the first derivative of -203 - 18*r**2 + 3/5*r**5 - 8*r**3 + 48*r + 9/4*r**4. Solve s(a) = 0.
-4, -2, 1, 2
Let n(l) = -79*l**2 + 107*l - 295. Let y(d) = -696*d**2 + 964*d - 2656. Let a(p) = 44*n(p) - 5*y(p). Factor a(g).
4*(g - 25)*(g - 3)
Let p(a) be the third derivative of a**5/240 - 7*a**4/2 - 337*a**3/24 - 6968*a**2. Factor p(w).
(w - 337)*(w + 1)/4
Suppose 37*j - 177 = -29. Suppose -13*l - 8 = -9*l - 4*s, 0 = -l + 2*s - j. Factor 2/5*k**3 + 0*k + 12/5*k**2 + l.
2*k**2*(k + 6)/5
Let -45*v - 17*v - 252 + 140*v**3 - 8*v**5 - 68 + 4*v**5 - 74*v + 340*v**2 - 20*v**4 = 0. What is v?
-8, -2, -1, 1, 5
Suppose 2/5*y**4 + 0*y + 1/5*y**5 - y**3 - 6/5*y**2 + 0 = 0. What is y?
-3, -1, 0, 2
Suppose -443*z = -442*z - s - 8, z - 8 = 3*s. Let l(t) be the first derivative of 4/11*t + z + 3/11*t**2 + 2/33*t**3. Factor l(c).
2*(c + 1)*(c + 2)/11
Let k = 6/2239 + 2221/6717. Let i(l) be the first derivative of -25 + 3/2*l**2 - 2*l - k*l**3. Factor i(g).
-(g - 2)*(g - 1)
Suppose 241 = 17*p + 190. Factor 17*v**2 - 3*v**3 - 76*v**2 + 220*v - 240 + 19*v**2 - 2*v**p.
-5*(v - 2)**2*(v + 12)
Suppose 204*p + 161*p = 39*p - 47*p. Solve 2/15*n**2 - 14/15*n + p = 0.
0, 7
Factor 4155 + 4*u**3 - 284*u**2 + 454*u - 4155 + 98*u.
4*u