*d**4/72 + 43*d**3/36 - 7*d**2/6 - 2340*d. What is h in o(h) = 0?
-1, 1/4, 14
Let u(m) = m**3 - 10*m**2 + 8*m + 12. Let x be u(9). Factor 0*d**x + 80*d + 33 + 32*d**2 + 56 - 25 + 4*d**3.
4*(d + 2)**2*(d + 4)
Let s be 0 + 3 + (34 - 26). Let b(x) be the first derivative of 8*x - s + 2*x**2 - 4/3*x**3. What is h in b(h) = 0?
-1, 2
Suppose 831*u + 47 + 27 = 74. Solve -13120/7*z**2 - 8/7*z**4 + 6724/7*z + u - 652/7*z**3 = 0 for z.
-41, 0, 1/2
Let k(c) be the first derivative of -c**4/3 + 44*c**3/3 - 42*c**2 + c - 101. Let w(t) be the first derivative of k(t). What is g in w(g) = 0?
1, 21
Let z(v) = 21*v**2 + 852*v - 963. Let c(w) = -w**2 + 7*w - 1. Let u(l) = 18*c(l) + z(l). What is p in u(p) = 0?
-327, 1
Let s be (((-945)/(-120))/(-21))/((-4 - -1)*1). Factor 1/8*j - 1/8 - s*j**3 + 1/8*j**2.
-(j - 1)**2*(j + 1)/8
Suppose -25*p + 13 + 62 = 0. Solve r**4 - 3*r**4 - 244*r**2 + 8*r + 268*r**2 + 8*r**4 + 22*r**p = 0 for r.
-2, -1, -2/3, 0
Let w = -2/261 - -271/1305. Let v(h) be the second derivative of -w*h**6 + 0 - 4*h + 0*h**3 + 1/5*h**5 + 1/21*h**7 + 0*h**2 + 0*h**4. Let v(b) = 0. Calculate b.
0, 1, 2
Factor 1/2*c**2 + 0 + 447/2*c.
c*(c + 447)/2
Let x(k) be the third derivative of 0*k + 0 + 2/15*k**5 - 1/105*k**7 + 0*k**3 + 1/168*k**8 - 1/15*k**6 + 0*k**4 - 48*k**2. Factor x(w).
2*w**2*(w - 2)*(w - 1)*(w + 2)
Let q = -296 - -298. Determine a so that 75 - 3*a**2 - 41 + 2*a**2 - 19*a + 5*a**q - 3*a**2 = 0.
2, 17
Let 440*p - 145*p**2 - 148*p**2 + 533*p**2 + 231*p**2 + 13*p**2 + 100 = 0. Calculate p.
-5/11
Let c = -136/2171 - -1094864/10855. Suppose -432/5 + 3/5*u**5 - 3/5*u**2 + c*u - 15*u**3 + 3/5*u**4 = 0. Calculate u.
-4, 1, 3
Let t(f) be the first derivative of 3*f**4/4 - 245*f**3 + 1461*f**2/2 - 729*f - 1044. Factor t(m).
3*(m - 243)*(m - 1)**2
Let d(b) be the first derivative of -b**6/4 - 18*b**5/5 - 135*b**4/8 - 25*b**3 + 542. Factor d(m).
-3*m**2*(m + 2)*(m + 5)**2/2
Let l(m) be the first derivative of -4*m - 5*m**4 + 8*m**2 - 2*m**3 - 5/4*m**5 + 76. Determine h so that l(h) = 0.
-2, 2/5
Let z(h) = h**2 - 32*h + 5. Let c(v) = v**2 - 16*v + 3. Suppose -2*s - 2*a - 4 = 16, 3*a + 6 = s. Let r(y) = s*z(y) + 10*c(y). Let r(k) = 0. What is k?
-8, 0
Let a(l) be the second derivative of -1/5*l**2 + 7/30*l**3 - 1/150*l**6 - 3/20*l**4 + 1/20*l**5 - 91*l + 0. Factor a(v).
-(v - 2)*(v - 1)**3/5
Suppose p + 20 = 2*r, 0 = -4*r - 5*p + 29 - 3. Solve 4*y + 299*y**3 + 29*y**4 - 303*y**3 - r*y**4 - 7*y**2 - 13*y**2 = 0.
-1, 0, 1/5, 1
Let r(f) = -6*f + 12. Let v be r(-4). Suppose -q - v - 3*q**2 + 16*q + 15*q + 9 = 0. What is q?
1, 9
Let j be ((-8)/(-36))/(((-852)/4923)/2). Let q = 7/71 - j. Factor 32/3 + 1/6*v**2 - q*v.
(v - 8)**2/6
Suppose -2*s - 10*o = -8*o - 82, 0 = -o - 4. Suppose -s = -5*z + 15. Factor -16 - 154*f + z*f**2 - 4*f**3 + 154*f.
-4*(f - 2)**2*(f + 1)
Let l = -2/10617 - -84946/53085. Suppose -l*o + 0 - 2/5*o**2 + 2/5*o**4 + 8/5*o**3 = 0. Calculate o.
-4, -1, 0, 1
Let g(k) be the second derivative of -79*k + 1/6*k**4 + 0*k**2 + 0 - 2*k**3. Suppose g(s) = 0. What is s?
0, 6
Let i(m) = -m + 19. Let o be i(15). Let d be 22/o - (-41 - -45). Suppose 3/2*l**4 + 3/2*l**5 + 3/2 + d*l - 3*l**3 - 3*l**2 = 0. What is l?
-1, 1
Let s be (-18)/120 - (-1003)/(-2380) - 2/(-3). Factor 0 - 20/21*a**3 + 6/7*a**2 + 0*a + s*a**4.
2*a**2*(a - 9)*(a - 1)/21
Let i = 792412 - 3169647/4. Solve x - 3/4 - i*x**2 = 0.
1, 3
Let k(a) = a**2 - 9*a - 36. Let w be k(-3). Let f(j) be the first derivative of 0*j**4 - 2/95*j**5 + w*j + 2/19*j**2 + 2/19*j**3 - 36. Factor f(x).
-2*x*(x - 2)*(x + 1)**2/19
Let y = 490 + -491. Let i be 141/90 - y/(-15). Solve 3/2*p**4 - i + 0*p**2 + 3*p - 3*p**3 = 0.
-1, 1
Suppose 0*j - 5*j = -100. Suppose 27*s = 2*s + 50. Factor 3*q + 2*q + j*q + 5*q + 5*q**s.
5*q*(q + 6)
Let i(r) be the third derivative of r**6/120 - r**5/10 + r**4/8 + 5*r**3/3 - 1719*r**2. Solve i(y) = 0 for y.
-1, 2, 5
Let z be -13 + (37 - 533)/(-31). What is t in 38/3*t**2 - 38/3 - 2/3*t**z + 2/3*t = 0?
-1, 1, 19
Let x(h) = 12165*h + 85160. Let g be x(-7). Factor -8 + g*s - 1/2*s**2.
-(s - 8)*(s - 2)/2
Let c = -1380/143 + 4619/286. Factor -11/2*x**2 + x + 0 - 2*x**4 + c*x**3.
-x*(x - 2)*(x - 1)*(4*x - 1)/2
Let x be (((-16)/96)/(4/12))/(2/(-25)). Determine g so that -x*g**4 - 5/4*g**5 - 35/4*g**2 - 5/2*g - 45/4*g**3 + 0 = 0.
-2, -1, 0
Let l(s) be the second derivative of -s**6/30 + 109*s**5/20 - 641*s**4/3 - 11078*s**3/3 - 20184*s**2 - 37*s - 32. What is c in l(c) = 0?
-4, -3, 58
Suppose -x - 2*s - 15 = -7*s, 2*s - 6 = 0. Let k be ((-352)/5)/(-4) - ((65 - 56) + 6). Let 1/5*t**5 + 4/5*t - 6/5*t**4 + x - 12/5*t**2 + k*t**3 = 0. What is t?
0, 1, 2
Determine m so that 0*m + 89*m**3 + 0 + 1/3*m**4 + 266/3*m**2 = 0.
-266, -1, 0
Let g be (11 + -7)*1/2478. Let v = 3709/4956 + g. Solve 2*d + 3/4*d**4 - 3/2*d**2 + v - 2*d**3 = 0.
-1, -1/3, 1, 3
Let a be (-15)/(8925/(-203)) - 66/(-1122). Factor -98/5 - a*c**3 + 26/5*c**2 - 14*c.
-2*(c - 7)**2*(c + 1)/5
Let u(z) be the first derivative of -1/10*z**2 - 2/15*z**3 - 1/20*z**4 + 0*z - 52. Solve u(p) = 0.
-1, 0
Let c(k) be the third derivative of k**6/30 - 17*k**5/3 + 1000*k**4/3 - 16000*k**3/3 + k**2 + 535*k. Factor c(p).
4*(p - 40)**2*(p - 5)
Let t(w) = -268*w - 1607. Let a be t(-6). Let i(h) be the first derivative of a + 0*h**2 - 4/39*h**3 + 0*h - 7/26*h**4. Find r, given that i(r) = 0.
-2/7, 0
Let i be ((-3195)/(-5325))/((-3)/(-5)). Suppose -9/4*w - i - 1/4*w**3 - 3/2*w**2 = 0. What is w?
-4, -1
Let g(u) = -3*u**3 - 2*u**2 - 2*u + 4. Let h(m) = -m**3 + m**2 - m. Let o(v) = -g(v) + 5*h(v). Let t be o(2). Solve 1/3*s**3 - 1 - 1/3*s + s**t = 0.
-3, -1, 1
Factor 2/3*z**2 + 1474/3 + 492*z.
2*(z + 1)*(z + 737)/3
Factor 9*g + 3/5*g**3 + 1/5*g**4 + 0 - 49/5*g**2.
g*(g - 5)*(g - 1)*(g + 9)/5
Suppose 1139*c + 2 - 2 = -150*c. Factor c + 3/2*l**3 + 54*l + 18*l**2.
3*l*(l + 6)**2/2
Suppose -309*p + 546*p + 883*p - 146*p + 502*p - 3*p**2 = 0. What is p?
0, 492
Let g(d) be the first derivative of -d**3/3 - d**2/2 + 64. Let x(u) = -5*u**2 - 7*u. Let k(t) = -6*g(t) + x(t). Factor k(l).
l*(l - 1)
Let y(a) be the third derivative of -2*a**2 - 7/24*a**4 - 5/3*a**3 + 0 - 1/60*a**5 - 13*a. Let y(q) = 0. Calculate q.
-5, -2
Let l(k) = k**2 + 4*k + 7. Let r(c) be the second derivative of -1/2*c**2 - 3*c - 1/6*c**3 + 0. Let j(f) = 2*l(f) + 14*r(f). Factor j(m).
2*m*(m - 3)
Solve -307 - 493 - 225*x - 565 - 5*x**2 + 0*x**2 - 5*x = 0.
-39, -7
Let x(y) be the second derivative of y**6/80 - 217*y**5/32 + 97921*y**4/96 + 32761*y**3/48 + 2534*y. Solve x(l) = 0.
-1/3, 0, 181
Let b(f) be the second derivative of f**5/30 + 191*f**4/6 + 36481*f**3/3 + 6967871*f**2/3 - 750*f - 2. What is m in b(m) = 0?
-191
Let g(q) be the second derivative of q**4/16 - 569*q**3/2 + 971283*q**2/2 - 109*q - 19. What is s in g(s) = 0?
1138
Suppose -3*q + 4*q + 4 = 2*d, 8 = 4*d + q. What is y in -4 + d*y**2 + 2365*y - 2365*y + 2*y**2 = 0?
-1, 1
Suppose -11*l - 126 + 117 = -14*l. Factor 1/6*k**2 - 1/6*k**l + 1/3*k + 0.
-k*(k - 2)*(k + 1)/6
Let y be ((-44)/(-2662)*33)/(6/33). Factor -6/5*u**y + 1/5*u**2 + 16/5 + 1/5*u**4 + 24/5*u.
(u - 4)**2*(u + 1)**2/5
Let o(k) be the first derivative of -14 - 5/36*k**4 + 10/3*k**2 + 10*k + 5/6*k**3. Let r(h) be the first derivative of o(h). Factor r(w).
-5*(w - 4)*(w + 1)/3
Let c(h) be the second derivative of h**6/90 + 7*h**5/45 + 71*h**2 - 171*h. Let w(t) be the first derivative of c(t). Factor w(m).
4*m**2*(m + 7)/3
Let p = -4221 - -4224. Let a(y) be the second derivative of 0 - 15*y + 1/18*y**4 + 1/30*y**5 + 1/6*y**2 - 1/6*y**p + 1/126*y**7 - 1/30*y**6. Factor a(o).
(o - 1)**4*(o + 1)/3
Let r be 111/15 + ((-86)/(-10) - 8). Let p(g) be the second derivative of -4/3*g**3 - 1/3*g**4 + r*g**2 + 1/10*g**5 + 0 + 4*g. Factor p(j).
2*(j - 2)**2*(j + 2)
Suppose -1007*s = -2581*s + 12592. Find o such that -s + 14/3*o**2 - 80/3*o = 0.
-2/7, 6
Let l be 1 + 3 + (5 - 5). Suppose l*d - d = 6. Factor 5*a - 2*a**3 + 3*a**3 - a**d - 3*a**3 + 0*a - 2.
-(a - 1)*(a + 2)*(2*a - 1)
Factor -158 + 393 + 61*j**2 + 4055*j + 1115 - 46*j**2.
5*(j + 270)*(3*j + 1)
Solve -4/5*s**4 + 12*s**3 - 4/5*s**5 + 36/5*s**2 + 0 - 216/5*s = 0.
-3, 0, 2, 3
Factor 37*z**2 + 15*z**2 + 660*z**3 + 139 - 420*z + 38 - 656*z**3 + 507.
4*(z - 3)**2*(z + 19)
Solve 72/11 - 26/11*v**3 - 10/11*v**4 + 2/11*v**5 + 58