9*g**6 + 1/126*g**7 + 0*g**2 + 2/15*g**5 + 5/18*g**4. Factor v(q).
q*(q - 9)*(q - 1)**2*(q + 1)/3
Let k(q) be the first derivative of 4/3*q**3 - 1/3*q**4 + q + 10 + 6*q**2. Let c(g) be the first derivative of k(g). Factor c(j).
-4*(j - 3)*(j + 1)
Let k(y) = y**2 + 60*y + 459. Let p be k(-51). Let w(f) be the second derivative of 0 + 0*f**4 + 0*f**5 + 1/165*f**6 + 19*f + p*f**2 + 0*f**3. Factor w(r).
2*r**4/11
Let q be (2/(-13))/(9603/2619 - 334/78). Factor -8*y + q*y**2 + 0.
y*(y - 32)/4
Let r = 3 + 3. Let j(w) = -8*w**2 - 14*w. Let t(v) = -27*v + 41*v**2 - 93*v**2 + 37*v**2. Let z(i) = r*t(i) - 11*j(i). Determine d so that z(d) = 0.
-4, 0
Let k(i) be the second derivative of 0 - 32*i**2 - 182*i**4 + 18*i - 328/3*i**3 - 539/5*i**5 + 343/15*i**6. Find w such that k(w) = 0.
-2/7, 4
Suppose -2*n + n + 0*n = 0. Suppose n = 7*t + 2*t - 18. Factor -3 + 4*g + 1 - 3 + t*g**2 - 1.
2*(g - 1)*(g + 3)
Suppose 0 = -j + 3 + 1, -4*g - 5*j + 64 = 0. Suppose g*s = 12*s - 2. Factor 5*t**3 + 111 - 3*t**3 + 24*t**s + 17 + 96*t.
2*(t + 4)**3
Let p(r) be the second derivative of -r**4/4 - 145*r**3/2 + 666*r**2 + 340*r. Factor p(q).
-3*(q - 3)*(q + 148)
Let t(g) = g**3 + 21*g**2 - 31*g - 195. Let l be t(-22). Let u(j) be the third derivative of 0 + 5/18*j**4 + 25/9*j**l + 9*j**2 + 0*j + 1/90*j**5. Factor u(c).
2*(c + 5)**2/3
Let q(o) be the second derivative of o**6/240 + o**5/24 + 7*o**4/48 + o**3/4 + 94*o**2 - 210*o. Let w(k) be the first derivative of q(k). What is v in w(v) = 0?
-3, -1
Let l(r) = r**2 + r - 1. Let m(h) be the first derivative of 7445*h**3/3 - 485*h**2/2 + 5*h - 47. Let f(c) = -3*l(c) + m(c). Factor f(v).
2*(61*v - 2)**2
Let h be 15 + 1*189/(-7) + 16 - 1. Suppose -10/3*r**5 - 240*r**2 - 410/3*r**h - 45 - 180*r - 35*r**4 = 0. What is r?
-3, -1, -1/2
Let s(p) be the second derivative of -99*p**5/5 + 200*p**4/3 - 8*p**3/3 + 11561*p. What is o in s(o) = 0?
0, 2/99, 2
Let j be 27/3*(-25 - -17). Let i be -4 - -6 - 4 - j/33. Factor i*t**2 + 4/11 + 6/11*t.
2*(t + 1)*(t + 2)/11
Let p(u) be the first derivative of -3*u**5/10 - 5*u**4/4 + 15*u**3/2 - 5*u**2 - 6*u + 3211. Let p(y) = 0. What is y?
-6, -1/3, 1, 2
Let w(p) be the first derivative of 1/30*p**6 + 10 + 0*p**2 - 27/5*p**3 + 0*p - 19/25*p**5 + 99/20*p**4. Find b, given that w(b) = 0.
0, 1, 9
Let i(u) = -4*u - 296. Let l be i(-32). Let z = 172 + l. Let 6*g**z + 0*g**2 + 0 + 0*g - 6*g**3 - 3/2*g**5 = 0. Calculate g.
0, 2
Let r(y) be the second derivative of y**6/270 - 17*y**5/180 - 19*y**4/108 + 17*y**3/54 + y**2 - 1060*y. Let r(h) = 0. Calculate h.
-1, 1, 18
Let x(w) = -w**2 - 11*w - 35. Let b be x(-8). Let d be b/66*(-114)/(-4) - -5. Determine i, given that 0 - 1/4*i**2 - d*i = 0.
-1, 0
Suppose -7456*o = -7487*o. Let b(i) be the second derivative of 1/30*i**4 + o*i**2 + 0 - 17*i + 2/15*i**3. Factor b(x).
2*x*(x + 2)/5
Find n such that 6516 - 381*n + 6388 - 12724 + n**2 + 200*n**2 = 0.
60/67, 1
Let w be (-81)/(-12)*((-112)/6)/(-7). Factor -w + 130*s + 40 + 55*s**2 - 22 - 5*s**3.
-5*s*(s - 13)*(s + 2)
Let v = 206016 - 618044/3. Factor 0 + 10*p**2 + 24*p - 2/3*p**4 - v*p**3.
-2*p*(p - 4)*(p + 3)**2/3
Suppose -314*a = -320*a + 402. Let m(z) = z**3 - 67*z**2 + 3*z - 199. Let p be m(a). Factor 10/3*t - 5*t**p - 25/3*t**3 + 0.
-5*t*(t + 1)*(5*t - 2)/3
Let q(l) = -3*l**2 - 8*l + 27. Suppose 3*i + 2*i = 20. Let v(c) = -11*c**2 - 23*c + 82. Let f(s) = i*v(s) - 14*q(s). Factor f(w).
-2*(w - 5)**2
Let z(d) be the third derivative of 0*d**4 - d**2 + 1/140*d**7 + 0*d**5 + 0*d - 1/30*d**6 - 53 + 1/1344*d**8 + 0*d**3. Find h such that z(h) = 0.
-8, 0, 2
Let m be 14/(-105) + 37/15. Suppose 2*h - 6 = -r, -h - 30 = -6*h + 5*r. Determine z, given that -z - 2/3 - m*z**3 + h*z**2 = 0.
-2/7, 1
Determine x so that 280*x - 278 + 278 + 4*x**2 = 0.
-70, 0
Let c(n) be the second derivative of n**6/15 + 34*n**5/5 + 273*n**4 + 5292*n**3 + 46305*n**2 - 2*n + 161. Solve c(k) = 0.
-21, -5
Factor 3/4*u**2 + 51/4*u + 54.
3*(u + 8)*(u + 9)/4
Let u(z) be the second derivative of -z**7/63 + 571*z**6/45 + 191*z**5/5 + z**4/9 - 1145*z**3/9 - 191*z**2 + 2170*z. Solve u(l) = 0.
-1, 1, 573
Factor 1/3*g**2 - 20*g + 108.
(g - 54)*(g - 6)/3
Let q(c) be the first derivative of -c**3/12 + 3*c**2/8 + 5*c/2 + 850. Factor q(y).
-(y - 5)*(y + 2)/4
Let q(w) be the third derivative of -w**5/60 - 15*w**4/4 - 172*w**3/3 - 5792*w**2. Solve q(k) = 0.
-86, -4
Let j(h) be the third derivative of 9*h + 1/15*h**6 + 5/3*h**4 - h**3 + 8*h**2 + 1/21*h**7 + 0 - 13/15*h**5. Factor j(t).
2*(t - 1)**2*(t + 3)*(5*t - 1)
Let w(b) be the third derivative of -2*b**7 + 249*b**6/20 - 427*b**5/80 - 2817*b**4/32 + 81*b**3/4 - 2*b**2 + 388. Suppose w(o) = 0. Calculate o.
-1, 2/35, 9/4
Let i = 118 + -100. Factor -2*c**4 - 23 + 17 - 22*c + 14 + i*c**2 - 2*c**3.
-2*(c - 1)**3*(c + 4)
Let s(t) = -3*t**3 - 2*t**2 - 3*t - 2. Let m be s(-2). Suppose 125*a + 42 = 139*a. Factor m - 20 + a*b - b**2.
-b*(b - 3)
Let q(g) be the second derivative of g**6/30 - 9*g**5/10 - g**4/3 + 12*g**3 - 5814*g. Let q(r) = 0. What is r?
-2, 0, 2, 18
Find m such that 886*m**2 + 276*m**2 + 5*m**3 - 5*m - 1105 + 476*m**2 - 533*m**2 = 0.
-221, -1, 1
Let d = 119 + -123. Let i be ((-2)/d)/(297/(-24) - -13). Factor -6/5*z - 2/5*z**2 - i.
-2*(z + 1)*(z + 2)/5
Factor -1/6*o**4 - 2/3*o**3 - o**2 - 2/3*o - 1/6.
-(o + 1)**4/6
Let v be (0 - (-2)/11)*(15/(-75)*10 - -10). Let -2/11*w**3 + 16/11*w**4 - v*w**2 + 2/11*w**5 + 0*w + 0 = 0. Calculate w.
-8, -1, 0, 1
Let q = -2/423583 - -5083010/2965081. Factor 20/7 + 6/7*a - q*a**2 + 2/7*a**3.
2*(a - 5)*(a - 2)*(a + 1)/7
Let w = 15103 + -15098. Let v(g) be the third derivative of 0 + 0*g + 1/420*g**6 - 39*g**2 - 8/21*g**3 - 1/21*g**w + 17/84*g**4. Factor v(r).
2*(r - 8)*(r - 1)**2/7
Let v be 136/12 + (2/6)/(6/(-162)). Let q(o) be the second derivative of 0*o**2 + 2/3*o**6 + 17*o + 2/21*o**7 + 0 + 9/5*o**5 + 4/3*o**3 + v*o**4. Factor q(u).
4*u*(u + 1)**3*(u + 2)
Find p such that -120*p**3 + 112*p**3 + 84*p + 11337*p**2 - p**4 - 11332*p**2 = 0.
-7, -4, 0, 3
Let w = -4476/815 - -1156/163. Factor -12/5 - 1/5*i**2 + w*i.
-(i - 6)*(i - 2)/5
Let l(h) = -9*h**2 - 468*h + 48. Let j(z) = -118*z + 0*z**2 + 10 + 24*z - 2*z**2. Let i(n) = 24*j(n) - 5*l(n). Factor i(y).
-3*y*(y - 28)
Let v be (-119)/(-17) - 3/((-1)/(-1)). Let z be 1/(v/(-2))*12/(-2). Find b such that -1470*b - 47*b**3 - 224 + 3*b**4 + 504*b**2 - 19*b**z + 1253 = 0.
1, 7
Let c(k) be the second derivative of k**7/84 - 47*k**6/60 + 619*k**5/40 - 1585*k**4/24 + 374*k**3/3 - 121*k**2 + 499*k. Determine y so that c(y) = 0.
1, 22
Let j(p) be the first derivative of 0*p + 152 - 1/2*p**4 - 2/5*p**5 + 2/3*p**3 + 0*p**2 + 1/3*p**6. Factor j(x).
2*x**2*(x - 1)**2*(x + 1)
Suppose -x + 12 = -11. Let g = 1 + x. Factor -31*n - 40*n**2 + 247*n - 144 - 12*n**2 - g*n + 4*n**3.
4*(n - 6)**2*(n - 1)
Suppose -2*u - 19 = -5*r, 5*u + 9 = 4*r + 4. Factor 134*d**2 - 62*d**2 + 0*d - 64*d**2 + 4*d**u + 4*d.
4*d*(d + 1)**2
Let s(k) be the second derivative of -4*k**3 + 1/4*k**4 + 45/2*k**2 + 33*k - 2. Factor s(c).
3*(c - 5)*(c - 3)
Let s be -187 - 5/(10/6). Let y = -77 - s. Factor y*f**3 - 62*f**3 - 12*f**4 + 4*f**2 - 59*f**3.
-4*f**2*(f + 1)*(3*f - 1)
Let x(b) be the first derivative of -b**5/30 + 113*b**4/6 - 11248*b**3/3 + 808640*b**2/3 + 7023616*b/3 - 1751. Factor x(a).
-(a - 152)**3*(a + 4)/6
Let m = 162417 + -162414. Find y such that 57/8*y + 9/2 - 3/8*y**5 - 3*y**4 - 3/2*y**2 - 27/4*y**m = 0.
-4, -3, -1, 1
Let o be (6/(-27) - (-68)/(-102))/(8/(-48)). Factor -32/3 + o*n - 2/3*n**2.
-2*(n - 4)**2/3
Factor 794976 - 4366/3*v**2 + 793520*v + 2/3*v**3.
2*(v - 1092)**2*(v + 1)/3
Let y = -82 - -92. Suppose 2*t - y = -m, 0 = -0*m + m - 5*t + 18. Let q**2 + 24*q - 225 + 253 - 5*q**m = 0. What is q?
-1, 7
Determine m so that 0 + 138/7*m**3 - 2/7*m**5 + 0*m - 66/7*m**4 - 10*m**2 = 0.
-35, 0, 1
Factor 2/19*p**4 - 8014560/19*p + 4015772/19*p**2 + 4004450/19 - 5664/19*p**3.
2*(p - 1415)**2*(p - 1)**2/19
Factor 106*g**2 - 37*g**2 - 41*g**2 - 29*g**2 - 93025 - 610*g.
-(g + 305)**2
Let f be (9/(-6) + 1)/((-58)/18444). Factor 3*q - 167*q**2 + 329*q**2 - f*q**2.
3*q*(q + 1)
Factor 428 + 3425/2*k + 2*k**2.
(k + 856)*(4*k + 1)/2
Suppose 2697 + 1143 = -20*w. Let x be w/(-621) + (-2)/23. Factor 54*v - 162 - 6*v**2 + x*v**3.
2*(v - 9)**3/9
Suppose 0 = -0*y + 13*