5*v**2 + 30*v**2.
-v*(v + 2)
Let k be ((-7)/(-2))/(5/(-5))*2. Let t be (36/2)/((-119)/k - 7). Factor -6/5*m**4 + 19/5*m**3 - 1/5 + t*m - 21/5*m**2.
-(m - 1)**3*(6*m - 1)/5
Factor 12*s**3 - 267*s + 720*s - 72*s**4 + 108*s**4 - 576*s**2 + 3*s**5 + 315*s.
3*s*(s - 2)**2*(s + 8)**2
Let -1980/7*u + 490050/7 + 2/7*u**2 = 0. What is u?
495
Factor -341*u**4 + 742*u + 5*u**5 + 945*u**2 + 296*u**4 - 85*u**3 + 238*u.
5*u*(u - 7)**2*(u + 1)*(u + 4)
Let g(k) be the first derivative of -1/210*k**5 + 0*k + 1/84*k**4 + 1/1260*k**6 + k**3 - 13 - 5/2*k**2. Let m(f) be the third derivative of g(f). Factor m(t).
2*(t - 1)**2/7
Let s(x) = 6*x**2 + 2*x - 6. Let q be 4 + (-5 - -2) + 3. Let t(c) = q*c + 12 + 5*c**2 - 8*c - 18*c**2. Let g(n) = -5*s(n) - 2*t(n). Factor g(j).
-2*(j - 1)*(2*j + 3)
Let y be (36/108*0)/4. Solve y*h - 5/4*h**5 + 5*h**3 - 5*h**2 + 5/4*h**4 + 0 = 0 for h.
-2, 0, 1, 2
Let z(v) be the first derivative of 25*v**6/6 - 21*v**5 - 223*v**4/2 - 100*v**3 - 28*v**2 + 2040. Find t, given that z(t) = 0.
-2, -2/5, 0, 7
Suppose -2*m = 2*l - 7 - 1, 4*m = -5*l + 16. Let x(w) be the first derivative of 6/5*w**5 + 0*w**2 + 0*w + 19 - 2/3*w**3 + 0*w**m + 2/3*w**6. Factor x(a).
2*a**2*(a + 1)**2*(2*a - 1)
Let j(q) be the first derivative of q**4/6 - 4*q**3/3 - 5*q**2 + 7*q + 5. Let f(t) be the first derivative of j(t). What is x in f(x) = 0?
-1, 5
Let v(y) be the second derivative of -y**6/345 - 2*y**5/23 - 14*y**4/23 + 371*y. Let v(n) = 0. What is n?
-14, -6, 0
Let v = 1293747/2 + -646846. Factor -121/3*x**2 + 0 - 1/6*x**5 - v*x**3 + 0*x - 4*x**4.
-x**2*(x + 2)*(x + 11)**2/6
Let j = 435 - 402. Suppose 21 = -6*v + j. Factor 2/3*b**5 - 8/3*b + 2/3*b**3 - 16/3 + 20/3*b**v - 8/3*b**4.
2*(b - 2)**3*(b + 1)**2/3
Let v(k) be the second derivative of 0 + 6*k**2 - 1/3*k**3 - 1/6*k**4 - 129*k. Factor v(p).
-2*(p - 2)*(p + 3)
Let b = -28 - -33. Let l be 2*(1 - 3) - (-13 + b). Factor 9*q**4 - 23*q**4 + 4*q**l + 20*q**3 + 12*q**4 - 20*q - 2*q**2.
2*q*(q - 1)*(q + 1)*(q + 10)
Let i = 53 - 49. What is y in 6*y**2 - 4*y**4 + 312*y - 309*y + y**5 - i*y**5 - 2*y**4 = 0?
-1, 0, 1
Let x(t) be the first derivative of 1/114*t**4 + 0*t**2 - 1/19*t**3 + 5*t - 3. Let p(r) be the first derivative of x(r). Factor p(i).
2*i*(i - 3)/19
Let l(n) = 2*n**2 + 4352*n - 2402432. Let c(f) = -f**2 - 4360*f + 2402432. Let a(y) = 4*c(y) + 3*l(y). Solve a(q) = 0 for q.
1096
Let z(q) be the second derivative of 1/7*q**4 + 1/70*q**5 + 3/7*q**3 + 4/7*q**2 + 0 + 88*q. Determine m, given that z(m) = 0.
-4, -1
Let z(d) be the first derivative of 3364*d + 116*d**2 + 14 + 4/3*d**3. Factor z(j).
4*(j + 29)**2
Let p(o) = -4287*o + 25728. Let q be p(6). Let n(y) be the first derivative of -3/25*y**5 + 0*y**2 + 1/4*y**4 - 3/10*y**q + 15 + 0*y - 1/15*y**3. Factor n(t).
-t**2*(t + 1)*(3*t - 1)**2/5
Let j = -64 - -82. Suppose -2*u**2 - 59*u + j - 3*u**3 + 7*u + 5*u**3 + 34*u = 0. Calculate u.
-3, 1, 3
Let b = -153684 + 153684. Factor -13/3*z**2 + 5/3*z**3 + 2/3*z + 2*z**4 + b.
z*(z - 1)*(z + 2)*(6*z - 1)/3
Let x(w) be the first derivative of w**3 - 291*w**2 - 585*w - 152. Factor x(g).
3*(g - 195)*(g + 1)
Factor 2363*f - 2*f**3 + 34*f**3 - 6416 - 34*f**3 - 3858*f - 4929*f - 1612*f**2.
-2*(f + 2)**2*(f + 802)
Suppose 15*q - 3*q - 14*q - 5*q**3 + 35 - 88*q + 15*q + 45*q**2 = 0. What is q?
1, 7
Let p = -1799 + 1739. Let f be p/14*(-171)/1539. Solve f + 2/21*v**2 + 4/7*v = 0 for v.
-5, -1
Let i(y) be the third derivative of y**6/360 - y**5/90 - y**4/18 + 4*y**3/9 - 1862*y**2. Factor i(p).
(p - 2)**2*(p + 2)/3
Let x = -12/5923 + 17865/47384. Find p, given that 9/8*p**2 - x*p**3 + 0 + 3/2*p = 0.
-1, 0, 4
Suppose -6930 = 27*c - 48*c. Suppose c = 37*k + 219. Let 8/17*x**2 - 8/17 - 2/17*x**k + 2/17*x = 0. What is x?
-1, 1, 4
Suppose 5*p - 23 = -h, -3*p = -3*h + h - 6. Let w be 6/12*p*1. What is r in 2*r**5 + 2*r**4 + r**w + r**4 - 3*r**3 - r**5 - 2*r**5 = 0?
0, 1
Suppose g - 16*t + 13*t = 36, 4*t = -5*g + 256. Let m be (-6)/(g/(-40)) - 5. Factor 1/3*z**4 - 4/3*z**2 + m + 0*z**3 + 0*z.
z**2*(z - 2)*(z + 2)/3
Suppose -2*l - 3*u = 739, 7*u - 9*u = 10. Let a = 1811/5 + l. Factor 1/5*i**3 - 1/5*i - 1/5 + a*i**2.
(i - 1)*(i + 1)**2/5
Let y = 1294 + -1297. Let h be (y - 28/(-8))/(3/18). Determine j, given that 1/4*j**h + 25/4 - 9/4*j**2 + 15/4*j = 0.
-1, 5
Let z(q) be the first derivative of 2*q**3/27 - 25*q**2/9 + 92*q/9 + 1373. Factor z(r).
2*(r - 23)*(r - 2)/9
Suppose -2*i - 2 - 4 = -3*h, 5*i - 5*h = -5. Factor -468*f**i + 469*f**3 + 4*f + 4*f**2 - 1 - 5*f - 3*f**2.
(f - 1)*(f + 1)**2
Factor -247*z - 34 - 146 - 10*z**3 - 264*z - 161*z**2 + 58*z + 81*z + 3*z**4.
(z - 10)*(z + 3)**2*(3*z + 2)
Let n(d) be the first derivative of -d**4/14 + 310*d**3/21 - 800*d**2 - 64000*d/7 - 4604. Determine j so that n(j) = 0.
-5, 80
Let t be (-2417)/22*16/(-32). Let n = t - 219/4. Factor -12/11*i + n*i**2 - 14/11.
2*(i - 7)*(i + 1)/11
Let k(j) = -293*j + 1470. Let u be k(5). Suppose 0 + 1/3*s**u + 25/6*s**4 - 133/6*s**2 + 49/6*s + 19/2*s**3 = 0. Calculate s.
-7, 0, 1/2, 1
Let w be (13044/(-42393))/((6/(-52))/((-3)/(-4))). Let 0 + x - 1/3*x**5 - 8/3*x**w + 2*x**3 + 0*x**4 = 0. What is x?
-3, 0, 1
Let m(s) = s - 1. Let g be m(3). Factor -133*j**g - 202612 - 128*j**2 - 4*j**3 - 16428*j - 34*j**2 - 149*j**2.
-4*(j + 37)**3
Let h(w) = 11*w + 2. Let f be h(-3). Let a = 34 + f. Factor 0 - 3*o**3 + 4*o**2 - 6 + 2*o**4 + 3*o**a + 8*o**3 - 8*o.
2*(o - 1)*(o + 1)**2*(o + 3)
Let p(y) be the first derivative of -y**6/6 + 23*y**5/5 + 27*y**4/4 - 71*y**3/3 - 13*y**2 + 48*y - 418. Find u, given that p(u) = 0.
-2, -1, 1, 24
Let a(p) be the second derivative of 1/12*p**4 + 5/2*p**2 - p**3 + 4 + 3*p. Factor a(w).
(w - 5)*(w - 1)
Let a = 305129/203422 + 2/101711. Factor -3/2*q + 6 + 3/8*q**3 - a*q**2.
3*(q - 4)*(q - 2)*(q + 2)/8
Let q(m) be the second derivative of m**6/15 + m**5/10 - 13*m**4/2 - 109*m**3/3 - 70*m**2 + 5*m - 43. Suppose q(b) = 0. What is b?
-5, -2, -1, 7
Let u(k) be the second derivative of -2 + 1/15*k**6 - 51*k + 0*k**2 - 1/10*k**5 - 5/6*k**4 - k**3. Find s such that u(s) = 0.
-1, 0, 3
Suppose 3*y + 2 = 2*q, q - 20 = 6*q + 5*y. Let d be q/4*19/(399/(-36)). Solve 3/7*a**3 + d*a**2 - 6/7 - 3/7*a = 0.
-2, -1, 1
Let b(f) be the third derivative of f**6/180 + f**5/9 + 13*f**4/36 - 8*f**3/3 + 455*f**2 - f. Factor b(o).
2*(o - 1)*(o + 3)*(o + 8)/3
Let k = 1483/6 + -247. Let l(x) be the second derivative of k*x**3 + 0 + 0*x**2 + 0*x**5 + 1/6*x**4 - 1/15*x**6 - 1/42*x**7 + x. Factor l(r).
-r*(r - 1)*(r + 1)**3
Factor -2*w**3 + 17*w**2 - 4*w**2 - 5*w**2 - 3*w**2 + 7*w**2.
-2*w**2*(w - 6)
Let r(u) = u**2 - 9*u - 7. Let s be r(-5). Suppose s - 21 = 21*q. Factor -2/9*a**q + 0 + 0*a.
-2*a**2/9
Let o(a) = -105*a**2 + 16057*a - 4587. Let b(f) = 55*f**2 - 8029*f + 2294. Let v(j) = 7*b(j) + 4*o(j). Factor v(g).
-5*(g - 229)*(7*g - 2)
Factor 4/5*i**2 + 136/5 + 76/5*i.
4*(i + 2)*(i + 17)/5
Let o = -434 - -423. Let x be 1 + (o + 5)/(-78)*47. Factor 2/13*p**5 + 18/13*p**4 + 92/13*p**2 + x*p**3 + 18/13 + 66/13*p.
2*(p + 1)**3*(p + 3)**2/13
Suppose 2/15*w**3 + 108/5 + 328/15*w**2 + 130/3*w = 0. What is w?
-162, -1
Let o = -50912 - -305473/6. Determine p, given that 1/6 - 1/6*p**2 + o*p - 1/6*p**3 = 0.
-1, 1
Let w = 358 + -330. Let x(o) = 11*o + 2. Let t be x(3). Factor -45 - t*z**2 + 4*z**3 - 3*z**3 + 4*z**3 + 103*z - w*z.
5*(z - 3)**2*(z - 1)
Let u(c) = c**3 + 2*c**2 + c. Let b be 6 + -15 + 7 + 5. Let x(y) = -2*y**3 - 20*y**2 + 8*y + 26. Let f(i) = b*u(i) + x(i). Solve f(m) = 0.
-1, 2, 13
Suppose -137*k = 1839 - 2113. Suppose 0 + 15*w**3 + 0*w + 25/2*w**k = 0. What is w?
-5/6, 0
Factor -2/7*z**2 - 34/7*z - 32/7.
-2*(z + 1)*(z + 16)/7
Let q = 107 - 105. Factor 4*f + 137*f**2 - 68*f**q + 2 - 67*f**2.
2*(f + 1)**2
Let l be 6264/13398 - 6/33. Factor -l*i**3 - 6/7*i**2 + 0 + 0*i.
-2*i**2*(i + 3)/7
Let v = -73160 - -73162. Let -4/7*u**v + 32/7 - 8/7*u = 0. Calculate u.
-4, 2
Let p(y) be the third derivative of -19*y**7/525 - 383*y**6/300 + 844*y**5/75 - 129*y**4/5 - 96*y**3/5 + 8*y**2 - y - 4. Solve p(g) = 0.
-24, -3/19, 2
Suppose -3084 = -5748*m + 4206*m. Suppose -3/4*x**m - 75/4 + 39/2*x = 0. Calculate x.
1, 25
Solve 722/7*j + 1058/7*j**3 + 0 + 1748/7*j**2 = 0 for j.
-19/23, 0
Let k(x) = -x**2 - 107*x + 1702. Let f be k(-121). Let g(b) be the third derivative of -5/2*b*