 + 1/3*r**4 + 2/3*r**3 + l = 0.
-2, -1, 0, 1
Let r(t) be the third derivative of -t**5/330 + 361*t**4/132 - 120*t**3/11 + 2478*t**2. Factor r(f).
-2*(f - 360)*(f - 1)/11
Let z(q) be the second derivative of -q**7/147 - 11*q**6/35 - 184*q**5/35 - 248*q**4/7 - 384*q**3/7 - 2*q - 323. What is x in z(x) = 0?
-12, -8, -1, 0
Let t = -513 - -535. Suppose 17*s = 90 - t. Determine q, given that -2*q**2 + 2/3*q**3 + 2/3*q**s - 10/3*q - 4/3 = 0.
-1, 2
Suppose 3*u + 908 = -3*b + 5*u, 0 = -4*b - 3*u - 1205. Let h = -300 - b. Solve -9/8 - 3/4*m + 3/8*m**h = 0.
-1, 3
Factor -766/13*f - 1540/13 + 2/13*f**2.
2*(f - 385)*(f + 2)/13
Let j be ((0/7)/(-14))/6. Let d(v) be the third derivative of 0*v**3 + 1/96*v**4 + j*v + 0 + 1/480*v**5 + 15*v**2. Factor d(k).
k*(k + 2)/8
Let m be (-1*2)/(18/171). Let t = 21 + m. Find w, given that 4*w**2 + w + 3*w + w**5 - 2*w**4 - 6*w**3 + 2*w**5 - t - w = 0.
-1, 2/3, 1
Let y(l) be the third derivative of -l**8/112 + l**7/10 + 21*l**6/40 - 23*l**5/20 - 5*l**4 + 18*l**3 + 1215*l**2. Solve y(g) = 0.
-2, 1, 9
Let d(l) = l**2 - 5*l + 14. Let p be d(7). Solve 6*q**2 + 18*q + 16*q**2 + 32 - p - 8*q**4 = 0.
-1, -1/2, 2
Let v be (-6)/((-72)/(-30))*-2. Suppose 740*k - 2015 - 1857 - 135*k**2 + v*k**3 + 475*k + 227 = 0. What is k?
9
Let k(g) = g**2 + 14*g + 26. Suppose 3*a = 8*a + 60. Let w be k(a). Factor -4*u**4 - 7*u**2 - 14*u**3 - 5*u**w - 2*u**3.
-4*u**2*(u + 1)*(u + 3)
Let f(o) be the third derivative of -o**7/945 + 10*o**6/27 - 5384*o**5/135 + 6400*o**4/9 - 16384*o**3/3 + o**2 + 89*o. Determine l so that f(l) = 0.
4, 96
Let r(g) = -g**3 - 62*g**2 + 148*g + 576. Let t(l) = -l**3 - 122*l**2 + 301*l + 1152. Let q(y) = -7*r(y) + 4*t(y). Solve q(f) = 0 for f.
-2, 8, 12
Let w = -462319/5 + 92464. What is z in -4/5*z - 21/5 + w*z**2 = 0?
-3, 7
Let u be 517/22*(0 + -2). Let a = u + 52. Determine q, given that 205*q**3 + 4*q**4 + a*q**2 - 195*q**3 + q**4 = 0.
-1, 0
Let a(b) = 18*b**3 + 90*b**2 - 2176*b + 2048. Let t(g) = -g**3 + 2*g**2. Let y(o) = a(o) + 20*t(o). What is s in y(s) = 0?
1, 32
Let c(h) be the second derivative of h**5/25 + 166*h**4/15 + 14104*h**3/15 + 26896*h**2/5 - 86*h. Find i, given that c(i) = 0.
-82, -2
Let v(r) = 5*r**2 + 174*r - 368. Suppose -2*f - 3*f - 3*l = 160, 3*l = 15. Let u(m) = -45*m**2 - 1565*m + 3310. Let s(k) = f*v(k) - 4*u(k). Factor s(i).
5*(i - 2)*(i + 36)
Let k(a) be the second derivative of 0 + 5/6*a**3 + 28*a + 0*a**2 - 5/6*a**4. Solve k(m) = 0 for m.
0, 1/2
Let p(u) = 3*u**2 - 27*u - 94. Suppose 2 = -4*q - 2, -4*q = -g. Let n(v) = -3*v + 1. Let m(o) = g*n(o) - p(o). Factor m(h).
-3*(h - 15)*(h + 2)
Let x(w) be the third derivative of -3*w**2 + 0*w**3 + w - 1/420*w**6 - 1/210*w**5 + 0 + 1/42*w**4. What is q in x(q) = 0?
-2, 0, 1
Let h = 145596 + -727846/5. Suppose 18/5*u**5 + h*u**3 + 78/5*u**4 + 8/5 + 114/5*u**2 + 48/5*u = 0. What is u?
-1, -2/3
Let a be 12 - (7227/(-73))/((-7)/(224/276)). Find i, given that -a*i**2 - 58/23*i + 10/23 = 0.
-5, 1/6
What is j in -2/7*j**2 + 20/7 + 18/7*j = 0?
-1, 10
Factor 265686*o**2 - 265701*o**2 - 18*o + 6*o**3 - o**4 + 4*o**4.
3*o*(o - 2)*(o + 1)*(o + 3)
Let h be ((-18)/3)/(-6) + (31 + -27)/4. Suppose 1/5*b**3 - h*b - 7/5*b**2 + 16/5 = 0. What is b?
-2, 1, 8
Let w = 130055 + -130052. Let 2/15*y**w + 28/15*y**2 + 44/15 + 14/3*y = 0. What is y?
-11, -2, -1
Let v(k) be the first derivative of k**4/12 + 110*k**3/9 + 214*k**2/3 + 424*k/3 - 1735. Let v(d) = 0. Calculate d.
-106, -2
Factor -2/7*q**3 - 28*q**2 - 386/7*q - 192/7.
-2*(q + 1)**2*(q + 96)/7
Let l(k) be the second derivative of -113*k - 5/18*k**4 - 1/60*k**5 + 0*k**3 + 0 + 0*k**2. Let l(t) = 0. Calculate t.
-10, 0
Let t = 3391/844410 + 3/4021. Let h(p) be the second derivative of 1/30*p**4 + 0*p**6 - 3/100*p**5 + 0 + t*p**7 - 33*p + 0*p**3 + 0*p**2. Factor h(f).
f**2*(f - 1)**2*(f + 2)/5
Let b(d) be the third derivative of 9*d**2 + 0*d + 1/60*d**5 - 11/12*d**4 + 121/6*d**3 + 0. What is j in b(j) = 0?
11
Suppose 1484*y**3 + 842*y**2 + 120*y + 49/2*y**4 + 0 = 0. What is y?
-60, -2/7, 0
Let c = -103915 + 103915. Factor 0*t + c*t**2 - 6/5*t**5 + 0 + 3*t**4 - 6/5*t**3.
-3*t**3*(t - 2)*(2*t - 1)/5
Solve -29 - 808*g**3 + 76*g**2 + 157 - 200*g + 804*g**3 = 0 for g.
1, 2, 16
Let v = 51 - 71. Let m be 2 + (-30)/v + (-1)/2. Factor -8*w**4 + 2*w**5 + m*w**5 + 1409*w**3 + 2*w**2 - 1408*w**3.
w**2*(w - 1)**2*(5*w + 2)
Let c be -5*1/2*(-4 - -6). Let q be 1/5 + (-14)/c. Factor -7*i + 4*i**q + i**3 + 2*i.
5*i*(i - 1)*(i + 1)
Let v be 17*165/561 - 5. What is q in -1/2*q**5 + v + 15/2*q**3 + 9/2*q**2 - 1/2*q**4 - 27*q = 0?
-3, 0, 2, 3
Let -403*v - 452*v**2 + 187*v**2 - 435*v**3 + 26 - 3*v**5 + 1615*v**2 - 1217*v + 60*v**4 + 622 = 0. Calculate v.
1, 6
Let f be 9/(-114) - (3 + 0)/(-6). Let z = 14067 - 267175/19. Suppose z*p**4 - 106/19*p**2 + 0*p + f + 0*p**3 = 0. Calculate p.
-1, -2/7, 2/7, 1
Suppose -2*q = -351 + 345. Factor 69 - 16 - 22 + q*t**2 - 22 + 12*t.
3*(t + 1)*(t + 3)
Let v(o) be the third derivative of -o**8/35 + 418*o**7/525 - 61*o**6/20 + 229*o**5/50 - 181*o**4/60 + o**3 - 7064*o**2. Suppose v(d) = 0. Calculate d.
1/6, 1/4, 1, 15
Let y(s) be the first derivative of -s**6/120 - 11*s**5/40 - 52*s**3/3 + 11. Let l(a) be the third derivative of y(a). Suppose l(z) = 0. What is z?
-11, 0
Let b(p) be the first derivative of p**5 - 13*p**4/3 + 8*p**3/3 + 8*p**2 + 69*p - 41. Let h(u) be the first derivative of b(u). Factor h(l).
4*(l - 2)*(l - 1)*(5*l + 2)
Let t(m) be the third derivative of -3*m**2 + 0*m - 4913/24*m**4 - 83521/24*m**3 - 1/840*m**7 - 289/40*m**5 + 0 - 17/120*m**6. Factor t(u).
-(u + 17)**4/4
Let j(w) be the third derivative of -3*w**2 + 0*w + 2/135*w**5 - 4 - 17/27*w**3 - 67/108*w**4. Determine u so that j(u) = 0.
-1/4, 17
Let d(v) be the second derivative of -v**7/3 - 71*v**6/15 - 157*v**5/10 + 259*v**4/6 + 740*v**3/3 + 100*v**2 + 1314*v. Solve d(k) = 0.
-5, -2, -1/7, 2
Let l(g) be the third derivative of -58*g**5/15 + 287*g**4/6 + 10*g**3 + g**2 - 140*g - 6. Let l(q) = 0. What is q?
-3/58, 5
Suppose -63 + 113 = 10*r. Factor -573*b - 4*b**2 + r*b**2 - 3 + 575*b.
(b - 1)*(b + 3)
Suppose -11*m - 16*m = 13*m + 4*m. Determine z, given that 2/7*z**2 + m + 0*z - 2/7*z**3 = 0.
0, 1
Let f(s) be the first derivative of 160 - 71/13*s**2 + 140/13*s + 2/39*s**3. Find n, given that f(n) = 0.
1, 70
Factor -1946/9*t - 1/9*t**2 - 946729/9.
-(t + 973)**2/9
Factor 2928*i**4 + 1053*i**4 + 6*i**2 + 89*i**3 - 4076*i**3 - 771*i + 771*i.
3*i**2*(i - 1)*(1327*i - 2)
Let g = -185681 + 1299783/7. Suppose g*t**3 + 0 + 6*t**2 + 36/7*t + 2/7*t**4 = 0. Calculate t.
-3, -2, 0
Let v(q) = q**2 + 52*q + 731. Let o(u) = 4*u**2 + 207*u + 2925. Suppose 54 = -6*d + 3*d. Let n(b) = d*v(b) + 4*o(b). Let n(l) = 0. Calculate l.
-27
Suppose 270*x - 272*x + 2*g = -16, -46 = -5*x + 6*g. Determine k so that -1/8*k**x - 17/2*k - 289/2 = 0.
-34
Let s(l) = 38 - 75*l + 2*l**2 - 7*l**2 - 153 - 45*l. Let o(x) = -5*x**2 - 121*x - 116. Let q(v) = -5*o(v) + 6*s(v). Find d, given that q(d) = 0.
-22, -1
Find l, given that 1542/7*l**2 - 5000/7 + 2/7*l**4 - 3350/7*l - 106/7*l**3 = 0.
-1, 4, 25
Solve -684*s**2 + 36*s**3 + 231*s + 10*s**3 - 50*s**3 - 911*s = 0.
-170, -1, 0
Let v(r) be the third derivative of -r**6/60 - 109*r**5/30 - 296*r**4 - 9984*r**3 - 3062*r**2. Factor v(s).
-2*(s + 13)*(s + 48)**2
Let q be (-28)/(-10) - (33/(-15) + 3). Factor 17*r**3 - 3*r**5 + 520*r**q - 510*r**2 + 4*r**5 + 8*r**4.
r**2*(r + 1)*(r + 2)*(r + 5)
Suppose -21 = 2*q + 5*w, -w = 4*q - 78 + 75. Factor -l**q - 1/5*l + 1/5*l**3 + 1.
(l - 5)*(l - 1)*(l + 1)/5
Let n(q) = 65*q**2 + 186000*q + 247273770. Let v(w) = -9*w**2 - 26572*w - 35324824. Let o(u) = 2*n(u) + 15*v(u). Factor o(x).
-5*(x + 2658)**2
Suppose 252*i - 1200 = 12*i. Solve 2/3*f**2 + 2/9*f**4 + 0 + 2/9*f**i - 10/9*f**3 + 0*f = 0.
-3, 0, 1
Let i(g) be the third derivative of -g**8/840 - g**7/231 + g**6/495 + 137*g**3/6 - 44*g**2. Let z(v) be the first derivative of i(v). What is f in z(f) = 0?
-2, 0, 2/11
Let v = -768 - -678. Let a be v/(-280)*(-1 - -5). Solve -6/7*i**3 + 3/7*i**4 - 12/7 - a*i**2 + 24/7*i = 0.
-2, 1, 2
Let c be 340/8 + 1*6/(-4). Suppose 5*t = -26 + c. Factor 8*p**2 + 4*p**t - 28 + 28.
4*p**2*(p + 2)
Let t(y) = 113*y**2 - 42*y - 116. Let u(m) = 1278*m**2 - 462*m - 1276. Let j(b) = 34*t(b) - 3*u(b). Factor j(o).