ctor 25/2*h**2 + 0 + 1/2*h**3 + 75*h.
h*(h + 10)*(h + 15)/2
Let l(z) be the first derivative of 2*z**3/15 - 21*z**2/5 - 92*z/5 + 1849. Factor l(p).
2*(p - 23)*(p + 2)/5
Let m(t) = t**2 + t. Let l(a) be the first derivative of 3*a**3 - 1/2*a**2 - 4 + 0*a. Let f(n) = -2*l(n) + 22*m(n). Let f(h) = 0. Calculate h.
-6, 0
Let w(o) be the first derivative of -5*o**3 - 999*o**2 + 1608*o + 5981. Factor w(y).
-3*(y + 134)*(5*y - 4)
Let d = 6769/3 - 2255. Solve d*t - 4/3 - 4/3*t**3 + 4/3*t**2 = 0.
-1, 1
Let b(y) be the third derivative of 7*y**6/240 - 179*y**5/40 - 63*y**4 - 205*y**3/3 + 1489*y**2. Suppose b(w) = 0. What is w?
-5, -2/7, 82
Let y = -164416/45 + 18274/5. Solve -50/9*h**4 + 16/9 + y*h**3 + 88/9*h + 44/3*h**2 = 0 for h.
-1, -2/5, 2
Suppose 2*v + 3*w = -9, 191*v + 37 = 195*v - 5*w. Determine f so that -145*f**2 - 605/2*f - 75 - 35/2*f**v = 0.
-5, -3, -2/7
Suppose 5527 + 5466 - 11038 = -5*t. Factor -78/5 + t*k - 3/5*k**2.
-3*(k - 13)*(k - 2)/5
Let h(u) be the first derivative of 59*u**4/42 - 158*u**3/21 + 181*u**2/21 - 2*u/7 - 15484. Suppose h(l) = 0. Calculate l.
1/59, 1, 3
Let v be (-3)/5*(-700)/84. Let j be (-1)/v + 348/65 + -5. What is x in -4/13*x + 0 + 2/13*x**3 - j*x**2 = 0?
-1, 0, 2
Let l(k) = 13*k**5 + 29*k**4 - 264*k**3 + 875*k**2 - 203*k - 1386. Let g(v) = 2*v**5 + v**3 - v - 2. Let u(r) = -28*g(r) + 4*l(r). Determine p so that u(p) = 0.
-1, 2, 7, 14
Let q be (-6165)/1750 - 16/(-2). Let i = 4/175 + q. Determine z so that -i*z**4 + 3*z**2 + 3/2 - 3*z**3 - 3/2*z**5 + 9/2*z = 0.
-1, 1
Let r be (6/(5 - -1))/(561/544 + -1). Determine m so that -9/2*m**4 - 6*m**3 + 22*m**2 - r + 16*m = 0.
-2, 4/3
Let l(m) = 1043*m + 8346. Let a be l(-8). Let -241/3*h**a - 460/3*h**3 - 64/3*h**5 - 52/3*h - 4/3 - 304/3*h**4 = 0. What is h?
-2, -1/4
Let w(q) be the second derivative of 5/98*q**7 + 13 + 99/140*q**5 + 11/35*q**6 + 2*q + 0*q**2 + 5/7*q**4 + 2/7*q**3. Let w(z) = 0. What is z?
-2, -1, -2/5, 0
Let j(f) be the first derivative of 2/25*f**5 + 6/5*f + 8/5*f**3 - 3/5*f**4 - 2*f**2 - 97. Factor j(u).
2*(u - 3)*(u - 1)**3/5
Factor -2/17*h**2 - 1916/17*h + 0.
-2*h*(h + 958)/17
Let v(a) be the first derivative of -4*a - 1/12*a**3 + 17/8*a**2 - 121. Factor v(j).
-(j - 16)*(j - 1)/4
Let z(n) be the third derivative of -n**6/320 - 139*n**5/160 + 363*n**4/32 + 54*n**3 - 29*n**2 - 80. Find f such that z(f) = 0.
-144, -1, 6
Suppose 11 = 2*o + 5*i, -3*i - 7333 + 7321 = -5*o. Find f, given that 1/6*f**o + 5/6*f**2 + 7/6*f + 1/2 = 0.
-3, -1
Let p(d) = d**3 + 8*d**2 + 9*d - 6. Let g = -92 - -89. Let l be p(g). Solve -6*h - l*h - 18*h**2 - 66 - 15 + 17*h**2 = 0 for h.
-9
Let r(i) be the second derivative of 19/180*i**6 - 19/36*i**3 + 130 + 1/8*i**5 - 25/72*i**4 + 1/2*i**2 + 2*i + 1/63*i**7. Let r(l) = 0. Calculate l.
-3, -2, -1, 1/4, 1
Let p(j) be the first derivative of -5*j**4/4 + 35*j**3/3 + 1845*j**2/2 + 10125*j - 9340. Find n such that p(n) = 0.
-9, 25
Let b = -43594 - -828342/19. Factor -162/19*y**3 + 0 - b*y + 2/19*y**5 - 166/19*y**2 - 50/19*y**4.
2*y*(y - 28)*(y + 1)**3/19
Factor -171/5*g + 3*g**2 + 3/5*g**3 + 297/5.
3*(g - 3)**2*(g + 11)/5
Let s(l) be the second derivative of 0*l**2 + 63/8*l**4 + 51/40*l**5 - 72*l - 81/4*l**3 + 1/20*l**6 - 2. Factor s(d).
3*d*(d - 1)*(d + 9)**2/2
Factor 0*v**3 + 0 + 0*v - 2/7*v**4 + 72/7*v**2.
-2*v**2*(v - 6)*(v + 6)/7
Let j be 9*(-40)/252*(2 - (-30)/(-8)). Let s(a) be the second derivative of -5/6*a**4 - 15*a - j*a**2 - 5/2*a**3 + 0. Factor s(l).
-5*(l + 1)*(2*l + 1)
Let n = 238/163 + 13/326. Factor 45*t - 675/2 - n*t**2.
-3*(t - 15)**2/2
Let s(p) be the first derivative of p**6/24 - 73*p**5/20 + 181*p**4/4 - 668*p**3/3 + 532*p**2 - 620*p - 4870. Factor s(b).
(b - 62)*(b - 5)*(b - 2)**3/4
Suppose 220 = 2*y + 3*y. Let u = 61 - y. Factor 20*r**3 - r**2 - u*r**4 + 4*r**5 + 9*r**4 - 7*r**2 - 8*r**4.
4*r**2*(r - 2)*(r - 1)**2
Suppose 3*d = -v - 10045, -15*d - 16741 = -10*d + v. Let t be 2/(-8) + (-8277)/d. Factor -22/9*o + t + 2/9*o**2.
2*(o - 10)*(o - 1)/9
Let j(m) be the third derivative of -31*m**5/20 - 9*m**4/2 - 5*m**3/2 + 1140*m**2. Factor j(k).
-3*(k + 1)*(31*k + 5)
Suppose -31/3*a**4 + 0 + 5/6*a**5 - 12*a + 67/3*a**2 + 139/6*a**3 = 0. What is a?
-1, 0, 2/5, 4, 9
Let c = 11418 + -205523/18. Let w(v) be the first derivative of 25 + 3/2*v - 5/6*v**2 + c*v**3. Factor w(a).
(a - 9)*(a - 1)/6
Let u(l) be the third derivative of 3 + 2/9*l**4 + 1/15*l**5 + 24*l**2 + 0*l**3 + 0*l - 1/90*l**6. Suppose u(t) = 0. Calculate t.
-1, 0, 4
Let y(h) be the first derivative of -43*h - 1/8*h**3 + 0*h**2 - 1/12*h**4 + 39. Let b(m) be the first derivative of y(m). Suppose b(o) = 0. What is o?
-3/4, 0
Let a(k) = k**2 - 11*k + 27. Let l be a(4). Let w(t) = 2*t - 2*t - 5*t**2 + 5. Let g(c) = c + 1. Let o(q) = l*w(q) + 5*g(q). Solve o(x) = 0 for x.
-1, 0
Let t(l) = 43*l**2 + 3529*l + 249. Let a be t(-82). Factor -3/5*r**2 + 18/5 + a*r.
-3*(r - 6)*(r + 1)/5
Factor 3 + 15 + 133*j**2 + 15*j - 138*j**2 + 2.
-5*(j - 4)*(j + 1)
Suppose -83 = -v - o - 11, v + 3*o - 68 = 0. Find m, given that 83*m**2 + 9*m + v*m**2 - 154*m**2 = 0.
-3, 0
Factor -590*a**2 - 166*a**2 - 3060*a + 3*a**3 - 1402 - 1670.
3*(a - 256)*(a + 2)**2
Find r such that 1/5*r**2 - 22 + 17/5*r = 0.
-22, 5
Let y(r) be the first derivative of 3/5*r**5 - 7/3*r**3 + 1/6*r**6 - 3/4*r**4 - 87 + 0*r + 3*r**2. Factor y(m).
m*(m - 1)**2*(m + 2)*(m + 3)
Let d(g) be the second derivative of -8 - 2/3*g**4 - 2*g + 12*g**2 - 47/3*g**3. Determine z so that d(z) = 0.
-12, 1/4
Factor -21/2*c + 19 + 1/2*c**2.
(c - 19)*(c - 2)/2
Suppose -5 = y, 2*y - 2 - 1 = s. Let k(z) = 13*z**2 + 14*z + 49. Let w(q) = 28*q**2 + 28*q + 98. Let a(m) = s*k(m) + 6*w(m). Find v such that a(v) = 0.
-7
Find p such that -32/19*p + 30/19*p**3 + 16/19*p**2 + 2/19*p**5 + 0 - 16/19*p**4 = 0.
-1, 0, 1, 4
Let t be (5 + -4)/((-3)/7)*-6. Let f be t/4*(-56)/(-7). Solve 115 - 75 - 2*b**2 + f*b - 138 = 0.
7
Let t(i) be the first derivative of 7*i**6/2 - 1611*i**5/5 - 3759*i**4/4 - 867*i**3 - 237*i**2 + 2408. Suppose t(p) = 0. What is p?
-1, -2/7, 0, 79
Find n, given that 57/5*n**4 - 48*n**2 + 48/5 + 96/5*n - 21/5*n**5 + 12*n**3 = 0.
-2, -2/7, 1, 2
Let x(d) = -6*d**2 + 22*d + 2. Let z(j) = 7*j**2 - 21*j - 3. Suppose 4*a + 13 = 53. Suppose -a*i + 2 = -11*i. Let q(u) = i*z(u) - 3*x(u). Factor q(w).
4*w*(w - 6)
Suppose -252*w**2 + 28631*w - 9541*w - 9547*w + w**3 - 9543*w = 0. What is w?
0, 252
Let j(u) be the second derivative of 0*u**2 - 6 + 0*u**3 - 1/20*u**5 - 1/60*u**6 - 3*u + 0*u**4. Factor j(q).
-q**3*(q + 2)/2
Let m = 1168494/429575 + -2/17183. Let z = -28/25 + m. Solve -z*u**3 - 64/5*u**2 - 14/5 - 58/5*u = 0 for u.
-7, -1/2
Let s be 32*(-18)/12*(80/84 + -1). Find p, given that -18/7*p**4 + 4/7*p**3 + 8/7*p**5 - 12/7*p + s*p**2 + 2/7 = 0.
-1, 1/4, 1
Suppose -3*m + 3*v + 109 - 121 = 0, 4*m - 10*v = -64. Find t such that 0 - 10/9*t**m + 14/3*t**2 - 2/9*t**3 + 4*t - 2/9*t**5 = 0.
-3, -1, 0, 2
Let x(q) be the first derivative of -15 + 7/15*q**3 + 11*q - 7/50*q**5 - 2/5*q**2 + 1/15*q**4. Let z(f) be the first derivative of x(f). Factor z(d).
-2*(d - 1)*(d + 1)*(7*d - 2)/5
Let g be ((-861)/(-82)*16/56)/(((-3)/(-4))/1). Determine u, given that 52/7*u**2 + 6*u - 18/7*u**5 - 24/7*u**3 + 4/7 - 8*u**g = 0.
-2, -1, -1/9, 1
Let a = 280 - 279. Let n(u) = -7*u**3 + 21*u**2 - 14*u. Let l(f) = f**3 - f**2. Let j(i) = a*n(i) + 6*l(i). Factor j(g).
-g*(g - 14)*(g - 1)
Solve 12*u**2 + 150/7 - 3/7*u**3 - 33*u = 0 for u.
1, 2, 25
Let a be (3979/(-115) + 16)/(((-18)/10)/3). Let j(u) be the first derivative of 4*u**3 + a - 4*u**4 + 4/5*u**5 + 0*u**2 + 0*u. What is n in j(n) = 0?
0, 1, 3
Let u(a) be the third derivative of a**6/540 + 13*a**5/45 + 38*a**4/27 - 10*a**2 - 14*a. Solve u(z) = 0 for z.
-76, -2, 0
Let b(l) = 255*l**2 - 885*l - 645. Let m(x) = 10*x**2 + 38 - 38*x**2 + 13*x**2 + 52*x. Let k(w) = -2*b(w) - 35*m(w). Factor k(g).
5*(g - 4)*(3*g + 2)
Let r(u) be the third derivative of 1/108*u**4 + 0*u**3 + 1/540*u**5 + 0 + 16*u**2 - u. Let r(k) = 0. What is k?
-2, 0
Let f(i) be the first derivative of i**3/27 - 19*i**2/6 - 118*i/9 - 1891. Factor f(g).
(g - 59)*(g + 2)/9
Let i = -42 + 47. Suppose -i = -5*m - 5*g, 9 = 2*m - 3*g - 2*g. Factor 0*w + 2*w**2 + m*w - w**2 + 3 - 2*w**2.
-(w - 3)*(w + 1)
Let l(y) = -118*y**3 + 51*y**2 - 196*y + 5. Let o(t) = -