
Let d(x) = -3*x**3 + 832*x**2 + 1667*x + 830. Let c(o) = 39*o**3 - 10818*o**2 - 21672*o - 10788. Let p(n) = 2*c(n) + 27*d(n). Factor p(h).
-3*(h - 278)*(h + 1)**2
Let w(q) = -42*q**3 + 93*q**2 - 183*q + 90. Let p(d) = 121*d**3 - 279*d**2 + 549*d - 270. Let i(v) = -6*p(v) - 17*w(v). Factor i(y).
-3*(y - 5)*(y - 2)*(4*y - 3)
Let l(x) be the third derivative of -2*x**7/105 + 14*x**6/15 - 38*x**5/5 - 14*x**4/3 + 230*x**3/3 - 75*x**2 + 11*x. Find q, given that l(q) = 0.
-1, 1, 5, 23
Factor 492/11*n**2 + 48 + 856/11*n + 114/11*n**3 + 8/11*n**4.
2*(n + 2)**3*(4*n + 33)/11
Let r(x) be the second derivative of -2/5*x**3 - 1 - 41*x + 5/12*x**4 + 0*x**2 + 1/150*x**6 - 7/50*x**5. Suppose r(n) = 0. Calculate n.
0, 1, 12
Suppose 1875/4*u**3 + 235*u**2 + 0 + 0*u + 465/2*u**4 - 5/4*u**5 = 0. Calculate u.
-1, 0, 188
What is a in -122/9 + 22/9*a**2 - 100/9*a = 0?
-1, 61/11
Let i(d) = -2*d + 33. Let s be i(15). Factor -414 - 2*b**4 + 120 - 781*b - b**4 - 51*b**s + 256*b - 279*b**2.
-3*(b + 1)*(b + 2)*(b + 7)**2
Let l be -16 + -3 - -12 - -1*9. Let h(n) be the first derivative of 0*n - 28/5*n**5 - 4*n**l + 28/3*n**3 + 2*n**4 + 14. Determine v so that h(v) = 0.
-1, 0, 2/7, 1
Let i be (-1 + -101)*(-10)/(-15). Let m = -336/5 - i. Find p such that -32/5 + 4*p**3 + m*p**4 + 92/5*p - 84/5*p**2 = 0.
-8, 1
Let m(a) be the second derivative of -a + 4/7*a**2 - 5 - 1/84*a**4 - 1/21*a**3. Solve m(r) = 0.
-4, 2
Let k(d) be the first derivative of 5*d**3/3 + 250*d**2 - 796. Factor k(v).
5*v*(v + 100)
Let z(v) be the first derivative of 2*v**5/55 + 269*v**4/11 + 358*v**3/11 + 507. Factor z(b).
2*b**2*(b + 1)*(b + 537)/11
Let h(l) be the first derivative of -l**4/14 + 68*l**3/21 + 5*l**2 - 474. Factor h(j).
-2*j*(j - 35)*(j + 1)/7
Let h = 1650 + -1584. Let x be h/(-605)*(-4)/(-24)*-10. Suppose 2/11*p**4 + x*p**2 + 0 + 0*p + 4/11*p**3 = 0. Calculate p.
-1, 0
Let f be 234/891 - 34/(-187). Let 4/9*h**2 - f + 1/9*h**3 - 1/9*h = 0. Calculate h.
-4, -1, 1
Let d(n) be the second derivative of -n**6/75 + 49*n**5/50 - 9*n**4 + 524*n**3/15 - 344*n**2/5 + 5*n + 120. Factor d(j).
-2*(j - 43)*(j - 2)**3/5
Determine b, given that -4 - 58*b**3 + 59*b**2 + 131*b**2 + b**4 + 29*b**3 + 4 = 0.
0, 10, 19
Find v such that -9/2*v - 43/4*v**2 - 17/4*v**3 + 0 = 0.
-2, -9/17, 0
Let q(g) = -2*g - 10. Let m be q(-6). Factor 41*k - 2*k**m + 18*k + 13*k.
-2*k*(k - 36)
Suppose -42/5 - 17*u - 44/5*u**2 - 1/5*u**3 = 0. What is u?
-42, -1
Let k(z) be the second derivative of -z**7/840 + 3*z**6/40 - 4*z**5/5 + 235*z**4/12 + 75*z. Let g(s) be the third derivative of k(s). Factor g(f).
-3*(f - 16)*(f - 2)
Let y(a) be the second derivative of a**7/3 - 8*a**6/5 - 19*a**5/10 + 2*a**4 + 429*a. What is k in y(k) = 0?
-1, 0, 3/7, 4
Let k(b) be the third derivative of 2*b**7/105 - 13*b**6/15 - 29*b**5/15 + 9*b**4 - 1668*b**2. What is q in k(q) = 0?
-2, 0, 1, 27
Find w, given that 0*w - 9856/3*w**3 - 495616/3*w**2 - 49/3*w**4 + 0 = 0.
-704/7, 0
Let m(o) be the third derivative of -o**6/300 + 11*o**5/75 + 8*o**4/3 + 224*o**3/15 + 6382*o**2. Factor m(w).
-2*(w - 28)*(w + 2)*(w + 4)/5
Let b(p) be the second derivative of -p**5/10 - 49*p**4/6 - 490*p**3/3 - 792*p**2 - 66*p + 71. Factor b(i).
-2*(i + 2)*(i + 11)*(i + 36)
Let n(z) be the second derivative of z**5/190 - 14*z**4/57 - 124*z**3/57 - 128*z**2/19 + z + 489. Factor n(w).
2*(w - 32)*(w + 2)**2/19
Let c(z) be the second derivative of -z**7/21 - 5*z**6/3 - 63*z**5/5 - 119*z**4/3 - 193*z**3/3 - 57*z**2 - 471*z. Find w such that c(w) = 0.
-19, -3, -1
Let m(u) be the third derivative of 0 - 57*u**2 + 1/80*u**5 + 0*u**3 + 0*u**4 + 0*u. Let m(g) = 0. Calculate g.
0
Let g(h) = 6*h + 1 + 627*h**2 - h - 626*h**2 + 3 + 2. Let i be g(-4). Factor 0*q - 1/2*q**i + 1/2*q**3 + 0.
q**2*(q - 1)/2
Let o(k) be the first derivative of -k - 13 + 1/9*k**4 - 1/60*k**5 - 2/3*k**2 + 1/18*k**3. Let q(c) be the first derivative of o(c). Factor q(y).
-(y - 4)*(y - 1)*(y + 1)/3
Factor 2/5*p**2 + 364658/5 - 1708/5*p.
2*(p - 427)**2/5
Suppose 0*r + 1011 - 1076 = -13*r. Factor -3/2*g**4 + 2*g**2 + 0*g + 0 + 0*g**3 + 1/2*g**r.
g**2*(g - 2)**2*(g + 1)/2
Factor -661*m**2 + 1620*m + 353*m**2 - 4905 + 313*m**2.
5*(m - 3)*(m + 327)
Let g(o) be the third derivative of 0*o + 1/60*o**5 - 2*o**2 + 1 + 1/24*o**4 + 0*o**3 - 1/120*o**6 - 1/210*o**7. Factor g(q).
-q*(q - 1)*(q + 1)**2
Let s(j) = 409*j**2 - 4*j - 3. Let x be s(-1). Factor 39*g - 8 - x*g**2 + 398*g**2 - 1.
-3*(g - 3)*(4*g - 1)
Let w(s) be the third derivative of s**6/120 + s**5/6 + 7*s**4/6 + 4*s**3 - 1774*s**2. Factor w(g).
(g + 2)**2*(g + 6)
Let c be (-3)/(-4) - (2/(-4) + 3315/3900). Factor -20*p**2 + 24*p**3 - 50*p - 28/5*p**4 + 0 + c*p**5.
2*p*(p - 5)**3*(p + 1)/5
Suppose 120/13*s**2 + 124/13 - 2/13*s**3 + 246/13*s = 0. What is s?
-1, 62
Let -12*x**4 - 148*x**2 + 2*x**5 - 258*x**3 - 66*x + 125*x**3 + 37*x**3 = 0. What is x?
-3, -1, 0, 11
Let z(b) be the third derivative of b**8/21 + 32*b**7/35 + 149*b**6/30 + 179*b**5/15 + 15*b**4 + 32*b**3/3 + 2648*b**2. Solve z(o) = 0.
-8, -2, -1, -1/2
Let v = 507 + -819. Let t be -11*(-6 + v/(-54)). Suppose -8/9*h**3 - 28/9*h**2 + t*h - 4/9 + 32/9*h**4 - 14/9*h**5 = 0. Calculate h.
-1, 2/7, 1
Let m be ((-71)/(-14) - 5)*(-6 + (-38)/(-4)). Let w(f) be the third derivative of 3/2*f**3 + 0 - 1/20*f**5 + m*f**4 + 0*f - 15*f**2. What is t in w(t) = 0?
-1, 3
Let n(h) be the second derivative of -1/40*h**6 + 0*h**5 - 7/2*h**2 - h**3 + 8*h + 0 + 3/8*h**4. Let q(v) be the first derivative of n(v). Solve q(t) = 0.
-2, 1
Let t(b) be the second derivative of 0 - 8/9*b**3 + 30*b + 1/60*b**5 + 8/3*b**2 - 1/36*b**4. Factor t(y).
(y - 4)*(y - 1)*(y + 4)/3
Let t = 2774 + -2768. Let y(j) be the third derivative of -29/40*j**t - j**3 + 3/14*j**7 + 11*j**2 + 0*j + 11/20*j**5 + 0 + 5/8*j**4. Solve y(x) = 0.
-2/5, 1/3, 1
Let n(s) be the third derivative of s**8/2352 + 31*s**7/1470 + 19*s**6/70 + 176*s**5/105 + 124*s**4/21 + 88*s**3/7 - 1172*s**2. Factor n(v).
(v + 2)**3*(v + 3)*(v + 22)/7
Let x(s) be the third derivative of -4*s**2 - 1/6*s**4 + 1/10*s**5 + 0 + 0*s**3 + 1/30*s**6 + 0*s. Factor x(z).
2*z*(z + 2)*(2*z - 1)
Let r be (1/(-10))/(345/920*48/(-540)). Solve -27/4*b**4 + 0 + 0*b**2 - r*b + 69/4*b**3 - 15/2*b**5 = 0.
-2, -2/5, 0, 1/2, 1
Suppose -21*d = -26*d + 7290. Find p such that -4*p - 83*p**2 + 6*p + 4097*p**4 - 1289*p**4 - 21*p**2 + 1244*p**3 + d*p**5 = 0.
-1, 0, 1/27
Let f(b) be the second derivative of -b**4/12 + 5*b**3 - 72*b**2 - 1133*b. Let f(v) = 0. Calculate v.
6, 24
Let b = 1775687 + -1775679. Let 17/7*f**2 - b*f + 52/7 - 1/7*f**3 = 0. What is f?
2, 13
Let m(w) be the second derivative of w**4/4 + 297*w**3 + 264627*w**2/2 + 28*w + 4. Factor m(q).
3*(q + 297)**2
Let w(h) = h + 1. Suppose -36 = 13*t - 62. Let y(f) = -3*f**2 + 4*f + 22. Let b(x) = t*w(x) + y(x). Determine d, given that b(d) = 0.
-2, 4
Let g be (130/(-6))/((-344)/(-348) + -1). Let m = g - 1883. Factor -98/9 - 28/9*d - 2/9*d**m.
-2*(d + 7)**2/9
Factor 0*l**3 + 306 + 3*l**3 + 359*l**2 + 159*l**2 - 4*l**3 + 210 - 1033*l.
-(l - 516)*(l - 1)**2
Factor 8*q**3 - q**5 - 29*q**3 - 41*q - 50*q - 19*q**2 + 85*q - 9*q**4.
-q*(q + 1)**3*(q + 6)
Let m(p) be the first derivative of -2*p**3/39 - 25*p**2/13 - 272*p/13 + 5381. Find c, given that m(c) = 0.
-17, -8
Let i be 8/(-18) - 132/(-54). Factor 3946 + 146*z**i - 732 - 145*z**2 - 200*z - 301 + 7087.
(z - 100)**2
Let l(v) be the third derivative of -v**8/560 - 2*v**7/75 - 8*v**6/75 - 4*v**5/75 + 2*v**4/5 + 4745*v**2. Let l(y) = 0. What is y?
-6, -2, 0, 2/3
Let j be 4 + 96/(-28) - (-13002)/(-75845). Suppose 12/5 + 68/5*w**2 - 48/5*w**3 - j*w**5 + 16/5*w**4 - 46/5*w = 0. Calculate w.
1, 2, 3
Suppose -113*t + 115*t = 16. Let -115*m**3 + 0 + 6*m**3 - 5*m**4 - t*m**5 + 43*m**5 + 4*m + m**4 - 8 + 82*m**2 = 0. What is m?
-2, -2/7, 2/5, 1
Suppose 129*q = -71*q - 236 + 236. Let l(r) be the first derivative of 30 - 2/21*r**3 + 0*r**2 + q*r - 1/14*r**4. Factor l(y).
-2*y**2*(y + 1)/7
Let y(d) be the second derivative of 6/5*d**2 - 2 + 7/15*d**3 - 5*d + 1/30*d**4. Solve y(c) = 0.
-6, -1
Let w(h) be the second derivative of 0*h**2 + 8/27*h**3 - 2 + 1/90*h**5 - 10*h + 5/27*h**4 - 1/135*h**6. Suppose w(s) = 0. What is s?
-2, -1, 0, 4
Let c(b) be the first derivative of -4/3*b**3 - 55 - 2/15*b**5 + 5/6*b**4 + 0*b**2 + 0*b. Fa