t derivative of -2*a**5/85 - a**4/2 - 134*a**3/51 - 87*a**2/17 - 72*a/17 + 361. Solve q(b) = 0.
-12, -3, -1
Let j(m) = -2*m**3 - m**2 - 4*m - 5. Let d be (0 - 2) + (-3 - (-3)/1). Let u be j(d). Solve -2*g + u*g + 40*g**3 - 8*g + 5 - 50*g**2 = 0 for g.
-1/4, 1/2, 1
What is y in -2/7*y**3 + 2684/7*y**2 - 128256*y - 258048 = 0?
-2, 672
Let n(y) be the third derivative of y**5/10 - 17*y**4/6 + 11*y**3/3 + 6*y**2 + 43. Let a be n(11). Factor a + 2/7*q**3 + 0*q - 10/7*q**2.
2*q**2*(q - 5)/7
Factor -2299*i**2 - 4*i**4 + 167*i**3 - 20399 - 16306 + 29793 + 10848*i.
-(i - 16)**2*(i - 9)*(4*i - 3)
Suppose 50*q + 75*q + 2*q = -70*q. Let f(j) be the second derivative of 5*j + 2/15*j**3 + q + 0*j**2 - 1/10*j**4 + 1/50*j**5. Determine k, given that f(k) = 0.
0, 1, 2
What is k in -89*k - 92*k - 165 + 141*k + 5*k**2 = 0?
-3, 11
Let -1/3*f**2 - 38/3*f + 56 = 0. What is f?
-42, 4
Let h = -1575815/3 + 525277. Determine v so that -24*v + 14*v**3 - 44/3*v**2 - h = 0.
-2/3, -2/7, 2
What is p in -2/5*p**2 - 54/5 + 57/5*p - 1/5*p**3 = 0?
-9, 1, 6
Let c(t) be the second derivative of t**6/300 - t**5/150 - t**4/15 + 4*t**3/15 - 33*t**2 + 25*t + 1. Let x(o) be the first derivative of c(o). Factor x(z).
2*(z - 2)*(z - 1)*(z + 2)/5
Suppose 11210/9*d**4 + 969546242/9*d - 483608734/9 - 6978844/9*d**3 - 2/3*d**5 + 482054972/3*d**2 = 0. Calculate d.
-1, 1/3, 623
Solve 1104*p**2 - 132/5*p**3 + 1/5*p**4 - 59248/5*p - 584016/5 = 0 for p.
-6, 46
Let d(w) be the third derivative of -w**8/672 + 11*w**7/420 - 3*w**6/80 - 11*w**5/120 + 5*w**4/24 + 848*w**2. Find a, given that d(a) = 0.
-1, 0, 1, 10
Suppose 5*q - 39 = w, 260*q = 261*q + 2*w + 34. Determine t so that 8*t + 4*t**3 + 26/3*t**2 + 8/3 + 2/3*t**q = 0.
-2, -1
Let i(m) be the second derivative of m**4/16 - 1625*m**3/8 + 609*m**2 - 650*m + 6. Let i(w) = 0. What is w?
1, 1624
Let f = -2403 - -2405. Let y(d) be the first derivative of 0*d - 11 - 4/5*d**5 + 4*d**f + 0*d**4 + 4*d**3. Let y(a) = 0. Calculate a.
-1, 0, 2
Let -34/3*h**2 + 18400/3 + 1040/3*h - 2/3*h**3 = 0. What is h?
-20, 23
Let i(k) be the first derivative of -k**3/6 - 7*k**2/2 + 147*k/2 + 1352. Factor i(v).
-(v - 7)*(v + 21)/2
Find f, given that -2450*f + 2500 - 199/4*f**2 - 1/4*f**3 = 0.
-100, 1
Determine o so that -177*o**2 + 8450 + 26*o**3 - 7995*o + 5*o**4 + 4*o**3 - 521*o**2 + 163*o**2 + 45*o**3 = 0.
-13, 1, 10
Let v(d) = 13*d**2 - 18*d**2 + 3*d - 52 + 64. Let w(n) = -6*n**2 + 3*n + 15. Let i(j) = 5*v(j) - 4*w(j). Find o such that i(o) = 0.
0, 3
Let r(q) be the second derivative of -3*q - 1/75*q**6 + 29 + 2/15*q**4 + 0*q**2 + 3/50*q**5 + 0*q**3. Find b such that r(b) = 0.
-1, 0, 4
Suppose 3*l = 5*r - 1149, 18*r - 17*r + 3*l - 219 = 0. Factor -3*u**4 - 12 + r*u + 18*u**3 - 192*u - 27*u**2 - 12*u**2.
-3*(u - 2)**2*(u - 1)**2
Let n be (-902)/(-231) - 6/(-63). Factor -7*f**4 + 12*f**3 + 10*f**4 - f**n - 3*f**2 + 19*f**2.
2*f**2*(f + 2)*(f + 4)
Let u = -11265 - -11267. Let g(w) be the first derivative of 9/20*w**5 - 3/16*w**4 + 0*w**u + 0*w**3 - 4 + 0*w. Factor g(s).
3*s**3*(3*s - 1)/4
Find m, given that -3/4*m**4 + 43/4*m**2 + 29/2*m - 29/2*m**3 - 10 = 0.
-20, -1, 2/3, 1
Let o be (-1736)/280 - (-6 - 4/4). Let p = 1/563 - -7877/2815. Factor o*r**2 + 2 - 22/5*r + 4*r**3 + 2/5*r**5 - p*r**4.
2*(r - 5)*(r - 1)**3*(r + 1)/5
Suppose 36*y - 64*y = -140. Let o be 42/9 - (y - 1). Factor o - 2/9*i - 8/9*i**2.
-2*(i + 1)*(4*i - 3)/9
Let r be (5/(25/(-6)))/(6/(-15)). Suppose -3*b + 8 = 2*l, r*l = 2*b - l. Suppose -3*t**2 - 7*t**4 - 875*t**3 + t**b + 884*t**3 = 0. What is t?
0, 2/7, 1
Let q(u) be the second derivative of 9*u**6/10 - 39*u**5/5 + 24*u**4 - 24*u**3 - 24*u**2 + 2081*u. Factor q(r).
3*(r - 2)**3*(9*r + 2)
Let j(q) = 16*q**2 - 52*q - 453. Let x(u) = 3*u**2 - 11*u - 90. Let i(l) = -2*j(l) + 11*x(l). Factor i(a).
(a - 21)*(a + 4)
Factor 8/7*m**4 - 2/7*m**5 + 0*m**3 + 0*m**2 + 0*m + 0.
-2*m**4*(m - 4)/7
Let r(f) be the second derivative of -f**6/6 - 199*f**5/4 - 16665*f**4/4 - 16335*f**3/2 - 6919*f. Factor r(b).
-5*b*(b + 1)*(b + 99)**2
Let w be ((-5)/615*3)/(-5). Let s = 622/1435 - w. Let 0*v + 0 + 0*v**2 - s*v**5 - 9/7*v**3 + 12/7*v**4 = 0. Calculate v.
0, 1, 3
Let j = -17/3294 + -10501187/16470. Let v = 638 + j. Find i such that -v*i**4 - 2/5 - 2/5*i + 4/5*i**2 + 4/5*i**3 - 2/5*i**5 = 0.
-1, 1
Let u = -1/16226 + 1987/2318. Let p(k) = -k**3 + 3*k**2 - k. Let b be p(2). Suppose -2/7 - 6/7*g**b - 2/7*g**3 - u*g = 0. What is g?
-1
Suppose 0 = 4*i - 95*o + 94*o - 13, -17 = -5*i + o. Let j(b) be the second derivative of -1/30*b**6 + 0*b**3 + 0*b**5 + 0 - 10*b + 0*b**i + 0*b**2. Factor j(f).
-f**4
Let k(s) be the second derivative of 3*s**5/20 + 1667*s**4/4 + 346944*s**3 - 1043334*s**2 - 1615*s. Factor k(o).
3*(o - 1)*(o + 834)**2
Let f be 2665/255 + (-2)/17 - (-50)/(-10). Factor -14/3*k + f - 2/3*k**2.
-2*(k - 1)*(k + 8)/3
Let -32 - 12*o + 26*o**2 - 1/2*o**5 + 3/2*o**4 + 17*o**3 = 0. What is o?
-2, 1, 8
Let v(s) = s - 4. Let t be v(9). Let f(n) = 7*n**2 + 78*n - 85. Let r(o) = -15*o**2 - 155*o + 170. Let g(l) = t*f(l) + 2*r(l). Factor g(k).
5*(k - 1)*(k + 17)
Let k = 68 + -19. Suppose -11*p - 5 = -k. Factor -u**4 + 25*u - 25*u + 27*u**2 - 18*u**3 + 4*u**p.
3*u**2*(u - 3)**2
Let j(d) = -76*d**3 + 360*d**2 + 436*d + 2438. Let q(u) = -5*u**3 + 24*u**2 + 29*u + 159. Let z(y) = 6*j(y) - 92*q(y). Factor z(s).
4*s*(s - 13)*(s + 1)
Let z(r) be the second derivative of -r**5/10 + 29*r**4/2 - 115*r**3/4 + 43*r**2/2 - r - 51. Factor z(b).
-(b - 86)*(2*b - 1)**2/2
Let m(y) = y**3 + 10. Let t be m(0). Let d = -7395 - -7415. Find w, given that t*w**2 - 64*w**3 - 6*w**2 - 20*w**5 - 68*w**4 - d*w**2 = 0.
-2, -1, -2/5, 0
Let t(q) be the third derivative of 4107*q**6/40 - 4403*q**5/80 + 113*q**4/48 - q**3/24 + 3*q**2 - 3*q - 15. Let t(v) = 0. What is v?
1/111, 1/4
Suppose -5*l = u + 2*u - 97, -4*u = -3*l + 35. Suppose -3*g - 2 = -l, -5*g + 121 = 4*j. Factor 29*p**3 - j*p**3 + 4*p**4 + p**4 - 15*p**2 - 5*p + 10.
5*(p - 1)**2*(p + 1)*(p + 2)
Let n be ((-22)/10)/((61/3050)/((-1)/12)). Let q(c) be the first derivative of 5/2*c**2 + 0*c - n*c**3 + 19. Factor q(z).
-5*z*(11*z - 2)/2
Let l(t) = -t**2 - 10*t. Let u(i) = -i**3 + 875*i**2 - 50*i. Let d(a) = -15*l(a) + 3*u(a). Factor d(p).
-3*p**2*(p - 880)
Solve -10443 - 1/3*u**4 - 4198/3*u**2 - 124/3*u**3 - 7316*u = 0 for u.
-59, -3
Let m be 11/(22/(-40)) + 4 + -2. Let t(k) = -4*k - 70. Let a be t(m). Factor 125/6 - 1/6*u**3 + 5/2*u**a - 25/2*u.
-(u - 5)**3/6
Let -43/5*p**2 - 7/5*p**4 + 0 - 18/5*p + 68/5*p**3 = 0. Calculate p.
-2/7, 0, 1, 9
Let u(z) be the first derivative of -16/3*z - 58 + 1/3*z**4 - 14/3*z**2 - 8/9*z**3. Factor u(y).
4*(y - 4)*(y + 1)**2/3
Let v(d) = -7*d**2 - 36*d + 2. Let s be v(-5). Suppose 2*f = p - 8, -1 = -s*p + 8*p + f. Factor -1/2*c**p + 2 + 0*c.
-(c - 2)*(c + 2)/2
Let d(i) be the first derivative of 4*i**3/3 - 4088*i**2 + 4177936*i - 6466. Suppose d(l) = 0. Calculate l.
1022
Let t(j) be the second derivative of 1/22*j**4 + 2 + 4/33*j**3 + 0*j**2 - 7/110*j**5 - j. Factor t(u).
-2*u*(u - 1)*(7*u + 4)/11
Let w(x) = -76*x**2 + 1706*x + 27. Let p(z) = 17*z**2 - 426*z - 6. Let u(o) = 9*p(o) + 2*w(o). Determine k, given that u(k) = 0.
0, 422
Let s be (-5 - -9)/((-25)/(-10)). Let o be (-462)/(-55) - 13 - 5/(-1). Solve -s*l**2 + 0 + 6/5*l + o*l**3 = 0 for l.
0, 1, 3
What is f in 17/2*f**2 + 294 - 1/4*f**3 - 91*f = 0?
6, 14
Let n = 1236 - 1233. Suppose 0*l - 24/5*l**n - 4/5*l**4 + 0 - 4*l**2 = 0. Calculate l.
-5, -1, 0
Let g = 200 - 196. Let l be (g*(-6)/42)/(-5 - -3). Factor l*d - 4/7*d**2 + 2/7 - 4/7*d**3 + 2/7*d**4 + 2/7*d**5.
2*(d - 1)**2*(d + 1)**3/7
Let d(b) be the first derivative of 6*b**6 - 39*b**4 + 57 - 6*b**2 - 46/5*b**5 - 86/3*b**3 + 0*b. Suppose d(t) = 0. What is t?
-1, -1/2, -2/9, 0, 3
Let l(a) be the first derivative of -1/3*a**3 + 3/2*a**2 + 118 + 0*a. Factor l(k).
-k*(k - 3)
Let l be (396/88)/((-50)/(-8)*(-102)/(-1615)). Suppose 3/5*m**2 + 102/5 - l*m = 0. Calculate m.
2, 17
Let j(n) be the third derivative of -7/10*n**4 + 0 - 27/10*n**3 + 0*n - 123*n**2 - 1/100*n**5. Determine u so that j(u) = 0.
-27, -1
Solve 1/5*l**3 + 23/5*l + 0 - 24/5*l**2 = 0.
0, 1, 23
Let t = -17733/7 + 297849/119. Let h = 6526/187 + t. Solve 112/11*g + 10*g**2 - h*g**3 + 24/11 = 0 for g.
-2/5, 3
Factor -22/5 + 1/5*x**4 - 53/5*x - 39/5