, 16
Suppose 2*h + 3647 - 976 = -5*c, 521 = -c + 4*h. Let l = c - -533. Let 0*g + 0*g**2 + 0 + 2/5*g**4 + l*g**3 = 0. What is g?
0
Let w(p) = 24*p**3 + 561*p**2 - 1014*p + 369. Let k(r) = 3*r**3 + 80*r**2 - 145*r + 54. Let i(y) = -15*k(y) + 2*w(y). Factor i(l).
3*(l - 24)*(l - 1)**2
Let m(w) = w**2 + 71*w - 295. Let f be m(4). Suppose 0 = 4*y - l - 7, 5*l = y + 4*y - f. Solve -2*c + 0*c**y + 0 + 1/2*c**3 = 0.
-2, 0, 2
Let d(c) be the third derivative of c**5/12 + 35*c**4/6 - c**2 - 2699. Factor d(p).
5*p*(p + 28)
Let f(m) be the first derivative of 58 - 2/3*m**3 + 56/5*m - 68/5*m**2. Let f(i) = 0. What is i?
-14, 2/5
Find z such that -5480*z**2 - 2/3*z**3 - 41141648000/3 - 15015200*z = 0.
-2740
Let u(v) be the second derivative of -v**4/60 + 367*v**3/5 - 1212201*v**2/10 + 4360*v. Factor u(m).
-(m - 1101)**2/5
Suppose -60 = -14*f + 80. Let d(t) be the third derivative of f*t**2 + 0*t**3 + 0*t**4 + 0*t**5 + 2/105*t**7 + 0*t + 0 - 1/30*t**6. Solve d(q) = 0 for q.
0, 1
Let t(n) be the second derivative of 5/6*n**4 + 2*n**3 + 0 + n**2 + 6*n. Let m(u) = u**2 + u. Let k(g) = 8*m(g) - t(g). Let k(j) = 0. What is j?
-1
Let g be 3/9 + 6/((-12672)/(-2506)). Let f = g - 7/352. Solve -f*i**3 + 0*i - 3/2*i**2 + 0 = 0.
-1, 0
Let p = -162 + 165. Let v(r) be the third derivative of 1/560*r**8 + 1/5*r**4 - 1/40*r**6 + 0*r + 0 - 1/100*r**5 + 9*r**2 + 1/350*r**7 - 2/5*r**p. Factor v(g).
3*(g - 1)**3*(g + 2)**2/5
Suppose 92*f = 88*f - 2*g, 0 = 7*f - 3*g. Let r = -2 - -4. Determine w so that 0*w + f + 4/21*w**r + 2/21*w**3 = 0.
-2, 0
Solve -597*h + 48 - 121*h**2 + 42*h**4 - 151*h**2 - 4*h**2 - 26*h**3 + 509*h = 0 for h.
-2, -2/3, 2/7, 3
Let t = 16563 + -16561. Let a(d) be the second derivative of 11/6*d**3 + 5/12*d**4 + 14*d + 0 + d**t. Let a(s) = 0. What is s?
-2, -1/5
Find o such that -522 + 453*o + 46*o**2 + 46*o**2 - 3*o**3 - 112*o**2 + 34*o**2 + 58*o**2 = 0.
-6, 1, 29
Suppose 5*q = 5*f + 110, -5*f + 33 - 122 = 2*q. Let t be (f/(152/48))/(-10). Factor 0*v**4 - 6/5*v**3 + 0 + t*v + 0*v**2 + 3/5*v**5.
3*v*(v - 1)**2*(v + 1)**2/5
Let c(s) = -54*s**2 + 1491*s + 1482. Let x(k) = -13*k**2 + 373*k + 371. Let b(h) = 5*c(h) - 21*x(h). What is y in b(y) = 0?
-1, 127
Let p = 70365 - 70359. Factor -p*a + 1/4*a**2 + 36.
(a - 12)**2/4
Let d(v) be the second derivative of -v**8/2240 + v**7/105 - v**6/48 - 5*v**5/4 + 19*v**4/4 - 13*v - 1. Let l(b) be the third derivative of d(b). Factor l(w).
-3*(w - 5)**2*(w + 2)
Let 166*v - 152*v**3 - 64*v**2 + 12*v**4 + 52 - 182*v + 168*v = 0. Calculate v.
-1, -1/3, 1, 13
Let w(r) be the second derivative of r**5/110 - r**4/2 + 236*r**3/33 + 612*r**2/11 + r + 296. Solve w(d) = 0.
-2, 17, 18
Let p(h) be the second derivative of -h**5/20 - h**4/3 - h**3/3 - 5*h**2/2 + 23*h. Let l be p(-4). Factor -4*j + l*j**2 + 2*j**2 - 6*j**2.
-j*(j + 4)
Let u(t) = 220*t - 263. Let i be u(8). Let j = 1501 - i. Let -j*p - 18/5 - 2/5*p**2 = 0. Calculate p.
-9, -1
Let k(z) be the first derivative of 2*z**6/9 + 4*z**5/5 - 5*z**4/3 - 20*z**3/3 + 8*z**2/3 + 16*z - 676. Determine c, given that k(c) = 0.
-3, -2, -1, 1, 2
Let z(w) = -4*w**2 + 50*w - 168. Let k(h) = 34*h**2 - 448*h + 1506. Let n(c) = 3*k(c) + 26*z(c). Factor n(y).
-2*(y - 3)*(y + 25)
Let h(s) be the first derivative of -5*s**6/6 - 109*s**5 + 5*s**4/2 + 1090*s**3/3 - 5*s**2/2 - 545*s - 3522. Find q such that h(q) = 0.
-109, -1, 1
Let m(q) be the first derivative of -2/5*q**2 - 6/5*q + 110 + 2/15*q**3. Factor m(y).
2*(y - 3)*(y + 1)/5
Let v = -500 + 482. Let b be (4/3)/((-15)/v*2). Factor -6/5 + b*k + 2/5*k**2.
2*(k - 1)*(k + 3)/5
Let d = -1492 + 1536. Suppose d*v = -25 + 113. Factor 2/3*t**v + 5/3*t**3 + 0*t + 0 + 1/3*t**5 + 4/3*t**4.
t**2*(t + 1)**2*(t + 2)/3
Let w(t) be the third derivative of t**5/330 + 400*t**4/11 + 1920000*t**3/11 - 21*t**2 + 10*t + 4. Solve w(k) = 0 for k.
-2400
Let q = -8 - -18. Suppose 0 = -q*m - 7 + 27. Let -5 + 172*j**2 + 180*j**3 + 20*j - 405*j**4 - 123*j**2 + 161*j**m = 0. What is j?
-1/3, 1/9, 1
Let a(t) be the second derivative of -11*t**5/4 - 65*t**4 - 285*t**3/2 - 65*t**2 + 7*t - 62. Suppose a(m) = 0. What is m?
-13, -1, -2/11
Let d(x) = x**2 - 899*x + 1150. Let p(g) = 2*g**2 - 838*g + 1151. Let j(w) = -5*d(w) + 4*p(w). Solve j(b) = 0 for b.
-382, 1
Suppose -28728*v**3 + 0 - 1/5*v**5 + 28880*v**2 - 759/5*v**4 + 0*v = 0. Calculate v.
-380, 0, 1
Let j = -86 - -122. Suppose -j*l + 14*l = 0. Factor 0*q + l - 3/4*q**4 + 3/4*q**2 + 0*q**3.
-3*q**2*(q - 1)*(q + 1)/4
Suppose -2*w = 3*n - 66, -38 = -2*w - 0*n + 4*n. Let 32*d**3 + 19*d**3 - 42*d**3 + d**4 + 27*d**2 + w*d = 0. Calculate d.
-3, 0
Suppose 4*j - 9*j = -170. Factor j*i**2 - 2*i**3 + 2*i + 0*i - 6 - 28*i**2.
-2*(i - 3)*(i - 1)*(i + 1)
Let t(m) = -m**2 + 14*m - 17. Let x be t(8). Factor -76*i + x*i - 3*i**2 - 12*i**5 + 45*i**3 + 33*i**5 - 57*i**4 + 39*i.
3*i*(i - 1)**3*(7*i + 2)
Let s(r) = 7*r - 6 - 17*r**2 - 20*r - 57*r - 10*r. Let j(x) = 15*x**2 + 80*x + 5. Let k(h) = 6*j(h) + 5*s(h). Suppose k(u) = 0. What is u?
-16, 0
Let k(o) = o**3 - o**2 - o. Let u be -13 + 1 + (-3 - -16). Let m(w) = -2*w**3 - 1 + 2*w**2 + 3 + 2*w + w**2. Let b(x) = u*m(x) + 5*k(x). Factor b(j).
(j - 1)*(j + 1)*(3*j - 2)
Let u(o) = -532*o - 1596. Let j be u(-3). Let t(b) be the first derivative of -7 - 1/3*b**2 - 2/9*b**3 + j*b. Factor t(i).
-2*i*(i + 1)/3
Let w = 559/720 - 34/45. Let f(x) be the second derivative of 0 - 3/8*x**2 + w*x**4 + 1/12*x**3 + x. Factor f(m).
(m - 1)*(m + 3)/4
Let o = 2458/19 - 129. Let s = 99/247 + o. Factor -24/13*z**2 - 18/13*z - 4/13 - s*z**3.
-2*(z + 1)**2*(5*z + 2)/13
Let z be (25*9/315)/(-15 - 2110/(-140)). Factor -1566/11*r + z*r**2 - 2/11*r**3 + 1458/11.
-2*(r - 27)**2*(r - 1)/11
Let m be 10/2 + 32/(-24)*9. Let b be (-117)/18 - -4 - (2 + m). Solve 2 + 6*n - 6*n**3 + 1/2*n**2 - b*n**4 = 0.
-2, -1, -2/5, 1
Factor -1400/11*p + 2/11*p**2 + 245000/11.
2*(p - 350)**2/11
Let n(v) = 5*v**2 - 2*v + 2. Let a be n(3). Factor 8*h**2 - 3*h**2 - 19 + 8 - 19 + 66*h - a*h.
5*(h - 1)*(h + 6)
Let j(w) = w - 9. Let u be j(9). Suppose -2*t = 2*f + 2, 3*f - 6*t + 3*t - 27 = u. Solve 3*y**2 + 6*y**3 + 65*y**f + 0*y**3 - 62*y**4 = 0 for y.
-1, 0
Let r(o) = 8*o - 13. Let v be r(2). Suppose -2*d = -2*u - 41 + 1, v*d - 2*u - 60 = 0. Let 281*g - 4*g**4 - d*g**2 - 24*g**3 - 281*g = 0. What is g?
-5, -1, 0
Let s be 10/8 + (-900581)/(-1364). Let -63/2*n - s*n**2 - 3/8 = 0. Calculate n.
-1/42
Let g(v) = 20916*v - 83659. Let u be g(4). What is a in 13/3*a**4 + 1/3*a**u - 62/3*a**2 - 35/3*a + 49/3 + 34/3*a**3 = 0?
-7, -1, 1
Suppose -1978*y + 215 = 215. Determine q, given that y + 2/5*q**3 - 68/5*q**2 + 578/5*q = 0.
0, 17
Let a(j) be the first derivative of 16 + 0*j**3 - 1/20*j**5 + 0*j**2 - 1/12*j**4 - 5*j. Let c(p) be the first derivative of a(p). Suppose c(v) = 0. What is v?
-1, 0
Let r = 43271/10 + -4327. Let w(s) be the second derivative of r*s**5 + 0 + 0*s**6 - 1/84*s**7 - 1/4*s**3 - 1/2*s**2 + 9*s + 1/12*s**4. Solve w(p) = 0 for p.
-1, 1, 2
Let y(u) be the second derivative of u**5/50 + 61*u**4/30 + 113*u**3/5 + 99*u**2 + 861*u. Factor y(p).
2*(p + 3)**2*(p + 55)/5
Let p(i) be the first derivative of 5*i**6/18 - 10*i**5/3 + 45*i**4/4 - 10*i**3 - 1540. Let p(b) = 0. Calculate b.
0, 1, 3, 6
Let o(j) be the first derivative of -j**6/21 + 46*j**5/35 - 41*j**4/14 - 46*j**3/21 + 6*j**2 - 1563. Suppose o(a) = 0. What is a?
-1, 0, 1, 2, 21
Let b be (-2905)/490 - 78/(-12). Factor -4/7*w**3 + 12/7 + b*w - 12/7*w**2.
-4*(w - 1)*(w + 1)*(w + 3)/7
Let t = 106774 + -106772. Solve -8/9 - 10/9*g**t - 8/3*g = 0.
-2, -2/5
Let f(n) be the first derivative of -4*n**5/25 - n**4 + 68*n**3/15 + 42*n**2/5 - 576. Factor f(h).
-4*h*(h - 3)*(h + 1)*(h + 7)/5
Let t(o) = -47*o**3 - 815*o**2 - 1141*o + 2198. Let g(w) = -12*w**3 - 204*w**2 - 285*w + 546. Let x(h) = 13*g(h) - 3*t(h). Factor x(i).
-3*(i - 1)*(i + 12)*(5*i + 14)
Let o(r) be the first derivative of -3*r**4 - 72*r - 88/3*r**3 - 90 + 86*r**2. Let o(j) = 0. Calculate j.
-9, 2/3, 1
Suppose 0 = -3*f - 2*d + 176, 4*d - 8*d + 178 = 3*f. Solve -21*g**2 + 36*g**2 - 17*g**2 - f + 75*g - 15*g = 0 for g.
1, 29
Find l, given that -3/2*l**2 + 2511/2 + 6*l = 0.
-27, 31
Suppose 23*g - 25*g = -12*l + 104, 5*g + 17 = 3*l. Factor -48/5 + 4*t + 2/5*t**g.
2*(t - 2)*(t + 12)/5
Let p(j) = j**3 + 6*j**2 - 1. Let m be p(-4).