4 + 45*w**2 + 0*w. Factor k(v).
2*(v + 25)*(4*v - 1)/7
Let i(x) be the first derivative of 1/40*x**4 - 1/3*x**3 - 7/20*x**2 + 98/5*x - 201. Find y, given that i(y) = 0.
-4, 7
Let y = -26107 - -26133. Let o(i) be the first derivative of 1/12*i**4 + 0*i + 0*i**3 + 0*i**2 + 1/15*i**5 - y. Determine r, given that o(r) = 0.
-1, 0
Let m be (2 + 3/(-2))*(-4392)/(-1098). Solve -2/3*o**3 + 26/3*o**m + 0 + 0*o = 0.
0, 13
Let k(x) = 3*x**5 - 9*x**4 - 15*x**3 + 39*x**2 - 6*x - 3. Let z(y) = y**3 - y**2 + 2*y + 1. Let q(l) = k(l) + 3*z(l). Let q(u) = 0. Calculate u.
-2, 0, 2, 3
Let m(r) be the first derivative of r**6/36 + r**5/15 - 17*r**4/24 - 35*r**3/9 - 23*r**2/3 - 20*r/3 - 61. What is h in m(h) = 0?
-2, -1, 5
Let h(w) be the third derivative of -w**6/120 + 31*w**5/60 + 173*w**4/12 + 280*w**3/3 + 2*w**2 + 1783*w - 2. Factor h(b).
-(b - 40)*(b + 2)*(b + 7)
Let d(l) = -467*l**2 - 3*l. Let w be d(1). Let x = w + 474. Solve -2/11 + 8/11*u**3 + 8/11*u - 12/11*u**2 - 2/11*u**x = 0 for u.
1
Suppose -28*n = 14*n - 45*n + 2*t, -n = 4*t - 28. Solve 6 + n*a + 1/2*a**2 = 0.
-6, -2
Suppose 2*g + 2 = -5*l, 4 = 2*g - 3*l - 10. Suppose 156/5*a**3 - 85683/5 - 3042/5*a**2 + 26364/5*a - 3/5*a**g = 0. What is a?
13
Let s be 3*(-80)/(-6) + 1. Let a = s - 38. Suppose 39*p**a - 11*p**3 + 527*p + 120*p**2 - 383*p + 32 = 0. What is p?
-2, -2/7
Suppose -8*h - 4 = -216*h + 620. Suppose 0 + 12/5*v**4 + 0*v - h*v**3 + 3/5*v**2 = 0. Calculate v.
0, 1/4, 1
Let g be (3/7)/(290/203) + (-204)/(-120). Factor 6/5*y**g + 0 + 0*y - 2/5*y**3.
-2*y**2*(y - 3)/5
Let n(r) = -r**3 + 11*r**2 - 8*r - 7. Let v be n(10). Suppose 15*w - 162 = -12*w. Factor w*q**3 + 2*q**3 - 15*q**2 + v*q - 3*q**3 - 3*q.
5*q*(q - 2)*(q - 1)
What is o in 2/13*o**2 + 524288/13 - 2048/13*o = 0?
512
Suppose o = -q + 3*o - 430, -5*q + 3*o = 2115. Let v = -420 - q. What is a in -8/3*a**2 + v*a - 8/3*a**3 - 2/3*a**4 + 0 = 0?
-2, 0
Let u be ((-2)/((-4)/349))/((-26)/(-312)). Factor -u - 270*k - 2097 - 5*k**2 + 546.
-5*(k + 27)**2
Let k(q) be the third derivative of q**6/150 - 7*q**4/30 + 4*q**3/5 - 404*q**2 - 1. Factor k(n).
4*(n - 2)*(n - 1)*(n + 3)/5
Let a(b) be the second derivative of -b**7/231 + 2*b**6/55 + 18*b**5/55 + 20*b**4/33 + b + 367. Factor a(y).
-2*y**2*(y - 10)*(y + 2)**2/11
Let c(w) be the third derivative of -w**6/1140 + 4*w**5/285 - 7*w**4/228 + 1884*w**2 + 2*w. Factor c(g).
-2*g*(g - 7)*(g - 1)/19
Suppose -v + 3*w - 15 = 3*v, 4*v = 5*w - 25. Suppose v = 18*b - 6*b - 48. Find f such that 10*f**3 - f**4 - 3*f**2 - 3*f**2 - 19*f**3 - 2*f**b = 0.
-2, -1, 0
Let b(f) = 550*f - 3848. Let j be b(7). Factor -2/5*u**j + 6/5 - 4/5*u.
-2*(u - 1)*(u + 3)/5
Let p = 40 + -39. Let t be 12*p/(-5)*(-20)/102. What is g in 0 - t*g + 2/17*g**4 + 6/17*g**3 + 0*g**2 = 0?
-2, 0, 1
Let a(j) be the second derivative of -j**4/48 + 25*j**2/2 - 4101*j. Factor a(n).
-(n - 10)*(n + 10)/4
Let c be (-32)/(-80) + (-94)/10. Let a be 4 - (-9)/(c/2). Factor -10*x**3 + 0*x + 0*x**2 + 11*x**3 - 6*x - x**a.
x*(x - 3)*(x + 2)
Let g(u) = 4*u**4 - 664*u**3 + 640*u**2 + 3393*u + 2045. Let y(l) = 12*l**4 - 1988*l**3 + 1916*l**2 + 10180*l + 6136. Let p(z) = 16*g(z) - 5*y(z). Factor p(a).
4*(a - 170)*(a - 3)*(a + 1)**2
Let -16 + 301/3*b**2 + 266/3*b - 13/3*b**3 = 0. What is b?
-1, 2/13, 24
Let z(o) be the first derivative of o**6/3060 - o**5/510 + o**4/204 + 167*o**3/3 - 74. Let v(s) be the third derivative of z(s). Factor v(h).
2*(h - 1)**2/17
Let p(t) be the third derivative of -t**7/630 + t**6/54 + 7*t**5/540 - 2227*t**2. Solve p(q) = 0 for q.
-1/3, 0, 7
Let s(t) be the first derivative of 14/3*t**2 - 223/12*t**4 + 77/15*t**5 + 14*t**3 + 46 - 8/3*t. Let s(l) = 0. What is l?
-2/7, 2/11, 1, 2
Let q(f) be the second derivative of -10/9*f**2 + 1/135*f**6 - 5/18*f**4 + 23/27*f**3 - 64*f + 1/90*f**5 - 2. Factor q(i).
2*(i - 2)*(i - 1)**2*(i + 5)/9
Let d(g) = -g**2 + 5*g + 3. Let s be d(5). Let p be (6 - (-96)/(-12))/(6/(-9)). What is h in -36*h + s - 6 - 2 - 5*h**p - 15*h**2 + 21*h = 0?
-1
Let o = -21/443 + 1243/7531. Let t be (-2 - 3)*2/(-5). Factor o*j - 2/17*j**t + 0.
-2*j*(j - 1)/17
Let w(r) be the second derivative of 5*r - 2*r**2 + 5/6*r**3 + 4 - 1/12*r**4. Factor w(m).
-(m - 4)*(m - 1)
Let j(f) be the second derivative of f**6/6 - 8*f**5 + 835*f**4/12 - 730*f**3/3 + 390*f**2 + 753*f. Suppose j(v) = 0. What is v?
1, 2, 3, 26
Let o(l) be the first derivative of -27*l**3 - 1375*l**2/2 + 34*l + 6348. Factor o(i).
-(i + 17)*(81*i - 2)
Let p = -5447508/7 + 778216. Let -2/7*g**3 + p*g**2 + 0 - 2/7*g = 0. What is g?
0, 1
Suppose -22 = 5*j - 4*n, 7*j + 10*n - 84 = 5*j. Factor 2/3*i**j + 722/3 + 76/3*i.
2*(i + 19)**2/3
Let t be (-1)/7*(-3 + -4). Let c be 10/30*(-34 + t). Let y(s) = -4*s**2 + 6*s + 16. Let a(w) = -8*w**2 + 11*w + 32. Let h(g) = c*y(g) + 6*a(g). Factor h(i).
-4*(i - 2)*(i + 2)
Let f(b) be the second derivative of -11*b**2 - 18*b - 1/4*b**4 + 1/30*b**5 + 0 + 0*b**3. Let i(a) be the first derivative of f(a). Factor i(h).
2*h*(h - 3)
Let n(z) = 5*z**2 + 19*z - 109. Let f be n(5). Let l = -332/3 + f. Suppose 10/3*y - l*y**2 - 25/3 = 0. Calculate y.
5
Let q = 19224/24305 - -44/4861. Let 0 + q*u**3 + 4/5*u**2 - 4/5*u**5 - 4/5*u**4 + 0*u = 0. What is u?
-1, 0, 1
Let c = -527 + 713. Suppose 378*u + 115*u**2 + 328*u - 5*u**3 - c*u + 540 = 0. Calculate u.
-2, 27
Let k(m) = -2416*m**3 - 5*m - 4. Let d be k(-2). Factor 4*f + 4*f**5 - d*f**3 - 5*f + 5*f + 19326*f**3.
4*f*(f - 1)**2*(f + 1)**2
Let x be 4/(-5*(-8)/480) + 3. Let -3/2*g**2 - 867/2 - x*g = 0. What is g?
-17
Suppose 5*l - 5*r + 6630 = 0, -5*l - 674 - 5980 = r. Let j = l - -1330. Determine w so that j*w**2 - 2/3*w**5 + 0 + 0*w + 0*w**3 - 2*w**4 = 0.
-3, 0
Let m(o) = o**3 + 8*o**2 - 69*o - 52. Let k be m(-13). Let s(c) be the second derivative of -1/16*c**3 + 1/32*c**4 - c + k*c**2 + 0. Factor s(l).
3*l*(l - 1)/8
Let v(l) be the first derivative of -2*l**3/15 - 14*l**2/5 - 98*l/5 + 1767. Factor v(r).
-2*(r + 7)**2/5
Let d = 775 + -762. Suppose -61 = -d*a - 35. Factor -4/5*o + 1/5*o**a + 3/5.
(o - 3)*(o - 1)/5
Find f such that 0 - 1/9*f**5 + 0*f**2 + 25/9*f**3 + 0*f + 0*f**4 = 0.
-5, 0, 5
Let c(t) be the third derivative of -t**6/160 + 19*t**5/80 - 83*t**4/32 + 65*t**3/8 - 956*t**2. What is s in c(s) = 0?
1, 5, 13
Let m = 220385/514199 + -2/73457. Let w = 19/42 + -1/6. Factor -z**2 + 5/7*z**4 + m*z + w - 3/7*z**3.
(z - 1)**2*(z + 1)*(5*z + 2)/7
Let j = -901 - -956. Factor 145*u**2 + 68*u**4 - 250 - 63*u**4 + 20*u**2 - j*u**3 - 25*u.
5*(u - 5)**2*(u - 2)*(u + 1)
Let h(w) = -3*w**2 - 42*w + 5931. Let c be h(-52). Factor 16*y**2 + 16/5 - 76/5*y + 5*y**c.
(y + 4)*(5*y - 2)**2/5
Let c = 14066 + -112503/8. Let u(b) be the first derivative of -29 + c*b**2 + 5/3*b**3 + 5/2*b + 5/16*b**4. Solve u(f) = 0.
-2, -1
Suppose 76/13*w + 4/13*w**3 - 30/13 - 34/13*w**2 = 0. Calculate w.
1/2, 3, 5
Let v(l) be the second derivative of l**5/40 - 19*l**4/4 - 349*l**3/12 - 117*l**2/2 + 9*l - 89. Find q such that v(q) = 0.
-2, -1, 117
Let w(a) = -6*a**3 + a**2 - 3*a + 1. Let b(l) = 37*l**3 + 43*l**2 - 246*l + 318. Let g(u) = 5*b(u) + 30*w(u). Factor g(p).
5*(p - 3)*(p - 2)*(p + 54)
Let r(x) = 3*x**3 - x + 1. Let y be r(1). Suppose 5*h - 16 = 2*f, -h + 22 = y*f + 3*h. Factor 5*k**2 - k**3 + k - 2*k**f + 12 - 15.
-(k - 3)*(k - 1)*(k + 1)
Suppose -12*t = 187 - 235. Let s(w) be the second derivative of -10 - 5*w**3 + 3/20*w**5 + 3*w + 0*w**2 + 3/4*w**t. Let s(g) = 0. What is g?
-5, 0, 2
Let u(c) = 17*c**2 - 21*c - 12. Let p(x) = 11*x + 0 - 16*x - 8*x**2 + 15*x + 10 - 4. Suppose 3*r + 0*r = 18. Let j(f) = r*u(f) + 13*p(f). Factor j(v).
-2*(v - 3)*(v + 1)
Suppose -257 + 257 = -4*d. Let i(b) be the third derivative of d*b + 8*b**2 + 1/60*b**5 + 0*b**4 - 1/120*b**6 + 0*b**3 + 0. Suppose i(u) = 0. What is u?
0, 1
Suppose -551*i + 950 = -1254. Factor -2/9*o**i - 8/3*o + 4/9*o**3 + 22/9*o**2 - 8.
-2*(o - 3)**2*(o + 2)**2/9
Let n(t) be the second derivative of 7/20*t**4 + 3/100*t**5 + 9 + 27/10*t**2 + 3/2*t**3 + 2*t. Factor n(v).
3*(v + 1)*(v + 3)**2/5
Suppose -48 + 57 = 3*u. Suppose -281*n + 149*n + 138*n - u*n**2 = 0. What is n?
0, 2
Solve 2/3*w**5 - 144 - 74/3*w**3 - 4*w**4 + 148*w**2 + 24*w = 0.
-6, -1, 1, 6
Let p be 2521/10 + 26*(-240)/520. Let u(r) be the second derivative of 686/15*r**3 + 7/25*r**5 + 0 - p*r**2 - 6*r - 49/1