z**3/3 + 26*z + 77. Let v(r) be the third derivative of i(r). Factor v(n).
-n*(n + 40)
Suppose -441/5 - 483/5*j - 1/5*j**3 - 43/5*j**2 = 0. Calculate j.
-21, -1
Let b(n) be the first derivative of 3*n**5/40 - 33*n**3/8 + 75*n**2/4 - 63*n/2 - 338. Solve b(t) = 0.
-7, 2, 3
Let j = -2700 - -2702. Suppose 6/11*v + 10/11*v**j + 2/11*v**3 - 18/11 = 0. Calculate v.
-3, 1
Let y(c) = 4 + 1235*c + 1237*c + 1244*c - 2 - 3705*c. Let b be y(0). Determine n so that 4/5*n**3 + 8/15*n + 0 + 2/15*n**4 + 6/5*n**b = 0.
-4, -1, 0
Suppose -4*r - u + 7 = -8, -4*u = -12. Suppose -9 - 3*b**4 + 6 + r - 12*b**2 - 15*b**3 = 0. Calculate b.
-4, -1, 0
Let r be ((-117)/(-156))/(30/32). Let a = 305 - 303. Let 2/5*t**a - 3/5 + 1/5*t**4 - r*t + 4/5*t**3 = 0. Calculate t.
-3, -1, 1
Let c = -1/47920 - -421697/47920. Factor 0 - 2/5*y**2 + c*y.
-2*y*(y - 22)/5
Let z = 302 - 291. Factor -42*i + z*i**2 - 9*i**2 + 46*i.
2*i*(i + 2)
Let c(q) be the second derivative of q**6/90 - 281*q**5/15 + 78961*q**4/6 - 44376082*q**3/9 + 6234839521*q**2/6 + q + 1. Suppose c(d) = 0. Calculate d.
281
Let n(k) be the second derivative of 5*k**4/3 - 445*k**3/6 + 55*k**2 + 4*k + 138. Factor n(u).
5*(u - 22)*(4*u - 1)
Let h(x) = 5*x**3 - 14*x**2 + 121*x - 128. Let l(f) = -f**3 - 3*f**2 + f + 7. Let v(z) = 3*h(z) + 12*l(z). Factor v(q).
3*(q - 20)*(q - 5)*(q - 1)
Let j = -656 + 658. Factor 5 - 72 - 87 - j - 6 + 159*y + 3*y**2.
3*(y - 1)*(y + 54)
Let w be 40/(-30)*(-3 + (-345)/(-100))*-16. Factor -32/5*q - w*q**2 - 2/5*q**4 + 0 - 18/5*q**3.
-2*q*(q + 1)*(q + 4)**2/5
Let h be 0 + -1 + 22 + 3. Let v be h/(-204) + 597/17. Suppose -v*m**3 - 8*m + 45*m**3 - 3*m**5 + m**5 = 0. Calculate m.
-2, -1, 0, 1, 2
Solve 66*d**2 + 20 + 1674*d - 65*d**2 - 1662*d = 0.
-10, -2
Let q(x) = 21*x - 39. Let h be q(2). Factor -9*t**3 + 3*t**3 - 31*t**3 + 53*t**2 - 218*t**2 - 8*t**h - 60 - 175*t + 5*t**4.
5*(t - 12)*(t + 1)**3
Let c(m) = -m**3 + 27*m**2 - 23*m + 10. Let o be c(19). Factor o - 1229 - 12*y**3 - 1220 - 52*y + 52*y**2.
-4*(y - 3)*(y - 1)*(3*y - 1)
Let f(o) be the first derivative of -1859/3*o**2 - 115/18*o**4 - 962/9*o**3 + 8788/9*o - 170 - 2/15*o**5. Factor f(q).
-2*(q + 13)**3*(3*q - 2)/9
Solve 104/11*b**4 + 1270/11*b**3 - 100*b**2 + 156/11 - 430/11*b = 0 for b.
-13, -6/13, 1/4, 1
Let l = -17871/8 + 2234. Let p(m) be the third derivative of -1/20*m**5 + 13*m**2 + 0*m**3 + 0 + 0*m - l*m**4. Find k such that p(k) = 0.
-1, 0
Suppose 3*t - 4*u - 4 - 174 = 0, u + 246 = 4*t. Suppose 2*x = -3*v + 48, t = 4*v + 3*x - 3. Determine d, given that 7*d**3 - v*d**2 + 26*d**2 - 3*d**3 - 16 = 0.
-2, 1
Let d(k) be the third derivative of k**7/3 + k**6/24 - 7*k**5/6 - 5*k**4/24 - 131*k**2 + 2. Determine s so that d(s) = 0.
-1, -1/14, 0, 1
Suppose 30128*u + 736 = 30496*u. Factor -3/7*m**4 + 3/7*m**3 - 27/7*m + 0 + 27/7*m**u.
-3*m*(m - 3)*(m - 1)*(m + 3)/7
Let m(h) be the second derivative of 0*h**2 - 4*h + 17 - 4/35*h**5 - 4/21*h**3 - 3/7*h**4. What is l in m(l) = 0?
-2, -1/4, 0
Let m(b) be the second derivative of -b**5/140 + 9*b**3/14 - 27*b**2/7 + 74*b. Factor m(j).
-(j - 3)**2*(j + 6)/7
Suppose 2*p + 2*a = -0*a - 10, -3*p + 10 = -2*a. Let q(f) be the third derivative of 0 - 1/3*f**4 - 2*f**2 + 1/30*f**6 + p*f**3 + 0*f - 1/15*f**5. Factor q(g).
4*g*(g - 2)*(g + 1)
Let j(s) be the first derivative of -2*s**6/3 + 4*s**5/5 + 10*s**4 - 16*s**3/3 - 48*s**2 - 910. Determine p so that j(p) = 0.
-2, 0, 2, 3
Factor 554/9*g**2 + 544/9*g - 10/9.
2*(g + 1)*(277*g - 5)/9
Suppose 101/7*f + 0 + 1/7*f**3 + 102/7*f**2 = 0. What is f?
-101, -1, 0
Suppose 3*k + t + 12 = 0, 4*k - 4*t = 6*k + 18. Let m(q) = q**3 + 5*q**2 + 5*q. Let c be m(k). Factor -c*f**3 - 58*f**5 + 2*f**3 + 59*f**5.
f**3*(f - 1)*(f + 1)
Let q(h) = h**2 + 11*h + 34. Let x be q(-3). Determine u so that 7 + 124*u + x - 35 + 14*u**2 = 0.
-9, 1/7
Let l(j) = -5*j**4 - 7605*j**3 - 2918435*j**2 - 8701975*j - 5791220. Let h(i) = 2*i**3 + i**2 + 6*i - 1. Let g(o) = 10*h(o) - l(o). Let g(f) = 0. What is f?
-761, -2, -1
Let z(i) be the second derivative of i**6/480 - i**5/240 - i**4/16 + 59*i**2/2 - 47*i. Let b(a) be the first derivative of z(a). What is r in b(r) = 0?
-2, 0, 3
Let o(h) be the second derivative of 4*h**4 + 13/5*h**5 + 8/3*h**3 - 114*h + 4/5*h**6 + 2/21*h**7 + 0 + 0*h**2. Let o(n) = 0. What is n?
-2, -1, 0
Suppose 0 = -3*w - 0*w + 84. Let o = w + -25. Suppose 6*u**2 - 6*u**4 - 3*u**4 - 3*u**5 + o - 24*u + 33*u - 6*u**3 = 0. Calculate u.
-1, 1
Factor -1747/2*w - 3052009/4 - 1/4*w**2.
-(w + 1747)**2/4
Let h(z) be the first derivative of z**6/21 - 18*z**5/7 + 285*z**4/7 - 2900*z**3/21 + 195*z**2 - 126*z + 13907. Factor h(n).
2*(n - 21)**2*(n - 1)**3/7
Suppose 28*c - 34*c + 12 = 0. Let i(m) be the third derivative of -1/10*m**5 - 1/105*m**7 + 0*m + 1/12*m**4 + 0 + 11*m**c + 0*m**3 + 1/20*m**6. Factor i(k).
-2*k*(k - 1)**3
Let a = -402 - -401. Let p be a*2/(-4)*12/30. Let -p*b**4 + 0*b**2 + 2/5*b**3 + 1/5 - 2/5*b = 0. Calculate b.
-1, 1
What is u in 265549*u**2 + 837*u - 265551*u**2 - 133*u = 0?
0, 352
Let v(j) = j**4 - j**3 - j - 1. Let x(w) = -30*w**4 + 80*w**3 - 95*w**2 + 70*w + 25. Suppose -30 = -23*f - 7*f. Let h(q) = f*x(q) + 25*v(q). Factor h(r).
-5*r*(r - 9)*(r - 1)**2
Let h(k) be the first derivative of k**3 - 11 + 0*k**2 - 3/4*k**4 + 29*k + 3/20*k**5. Let g(f) be the first derivative of h(f). Suppose g(c) = 0. Calculate c.
0, 1, 2
Let w be (87 + -1)/(-2 + 4). Suppose 3*x = -2*m - 9, -2*m + 6*x - x + 15 = 0. Suppose m*g + 7*g - 15 + w - 4*g**2 + 17*g = 0. Calculate g.
-1, 7
Let z(u) be the first derivative of -u**6/12 + 21*u**5/10 - 143*u**4/8 + 105*u**3/2 + 10845. Let z(t) = 0. What is t?
0, 5, 7, 9
What is u in -148 - 118 + 2*u**2 - 24 - 70 + 82*u = 0?
-45, 4
Solve 4*i**4 + i**4 + 7828560*i - 1240 - 7830690*i - 120*i**3 - 1015*i**2 = 0 for i.
-4, -2, -1, 31
Let b(z) = z**3 + 2*z**2 - 5*z - 1. Let t be b(3). Let v be 1616/3248 - 2/t. Determine i so that -12/7*i**2 + v*i**3 - 6/7 + 15/7*i = 0.
1, 2
Suppose 3 = v + 2*p + 2, 5*v - 16 = p. Suppose -9*o = -v*o - 12. Factor -9*d**o - 2*d - 2*d + 9*d**2 - 4*d**2.
-4*d*(d + 1)
Let b(k) = 2*k**4 + k**3 - k**2 - 3*k. Let p(y) = 13*y**4 + 6*y**3 - 19*y**2 - 30*y. Let h(a) = 6*b(a) - p(a). Factor h(x).
-x*(x - 4)*(x + 1)*(x + 3)
Let w(u) be the second derivative of -3*u**2 + 1/18*u**4 + 2 + 44*u - 8/9*u**3. What is t in w(t) = 0?
-1, 9
Let a(t) be the third derivative of -t**6/36 - 86*t**5/15 + 173*t**4/15 - 416*t**3/45 + 2063*t**2. Factor a(j).
-2*(j + 104)*(5*j - 2)**2/15
Let a be -6 + 15 + (-7140)/833. Factor 3/7 - a*f**2 + 0*f.
-3*(f - 1)*(f + 1)/7
Suppose 4*f + t = 2*t + 10, 5*t + 12 = f. Let c(z) be the third derivative of -1/15*z**5 + f*z**3 - 1/3*z**4 + 0 + 0*z + 17*z**2. Factor c(j).
-4*(j - 1)*(j + 3)
Let g(p) be the first derivative of p**5/20 - 3*p**4/4 + 9*p**3/2 - 45*p**2/2 - p - 155. Let b(t) be the second derivative of g(t). Factor b(n).
3*(n - 3)**2
Let f(h) be the third derivative of -5*h**2 + 2*h + 1/480*h**5 + 0 + 75/16*h**3 + 5/32*h**4. What is t in f(t) = 0?
-15
Determine y, given that -22*y**3 - 1056 + 1650*y + 4*y**5 - 2*y**5 + 207*y**2 - 169*y**2 - 1454*y**2 + 132*y**4 + 710*y = 0.
-66, -4, 1, 2
What is q in -40/3*q**4 + 19/3*q**2 - 12*q - 3 + 22*q**3 = 0?
-3/5, -1/4, 1, 3/2
Suppose 16*o - 13*o = 4*n + 4, -5*n + 6 = -o. Let g be (3/n)/((-279)/(-36) + -7). Factor -2 + 1/4*l**g + 1/2*l.
(l - 2)*(l + 4)/4
Let w be 17 + 77/33*-6. Let a(y) be the first derivative of 5*y**2 + 0*y + 5/6*y**w - 19. Factor a(t).
5*t*(t + 4)/2
Let i(c) be the second derivative of -29*c - 1/60*c**4 + 0 + 1/5*c**3 + 0*c**2. Find a, given that i(a) = 0.
0, 6
Let n be (-118728)/(-504) - 50 - 21. Factor n*d**2 + 96/7*d + 2/7.
2*(24*d + 1)**2/7
Let k be (6/(-8))/(-3) + -135*8/(-288). Let o(t) be the first derivative of 1/5*t**2 + 15 + 2/5*t**3 + 3/10*t**k + 2/25*t**5 + 0*t. Factor o(d).
2*d*(d + 1)**3/5
Let f = 5363 - 5360. Let t(r) be the second derivative of -3/10*r**5 + 1/10*r**6 - 1/2*r**4 + 3/2*r**2 + 1/14*r**7 - 19*r + 1/2*r**f + 0. Factor t(m).
3*(m - 1)**2*(m + 1)**3
Let i(w) be the third derivative of 0 + 3/80*w**5 - 3/280*w**7 + 1/160*w**6 + 0*w + 0*w**3 + 0*w**4 - 50*w**2 - 1/448*w**8. Find v, given that i(v) = 0.
-3, -1, 0, 1
Let a(t) be the third derivative of t**6/600 + t**5/75 - 4*t**4/15 + 123*t**2 + 2. Factor a(x).
x*(x