*4 + 1541*y + 784 + q*y**2 = 0 for y.
-14, -1
Let x be (1/10)/(1290/(-48) - -27). Factor -x - 2/5*q**2 - 6/5*q.
-2*(q + 1)*(q + 2)/5
Let q(o) be the third derivative of o**6/240 + 29*o**5/120 + 7*o**4/12 + 95*o**2 + 4. Factor q(x).
x*(x + 1)*(x + 28)/2
Let s = -4336 - -4336. Let q(b) be the third derivative of -1/3*b**4 + s*b + 0 - 17*b**2 + 0*b**3 - 1/15*b**5 - 1/240*b**6. Factor q(g).
-g*(g + 4)**2/2
Suppose -11*t = -u - 13*t - 20, 76 = -5*u + 2*t. Let k be (-6)/14*(-32 - u). Factor -3/7*q**2 - 192/7 - k*q.
-3*(q + 8)**2/7
Let v(x) be the second derivative of -x**5/110 + 5*x**4/22 + 24*x**3/11 + 76*x**2/11 + 1172*x. Factor v(h).
-2*(h - 19)*(h + 2)**2/11
Let t(x) be the first derivative of -2*x**3/3 + 3871*x**2/3 + 5164*x/3 - 8581. Factor t(u).
-2*(u - 1291)*(3*u + 2)/3
Suppose 55*r - 1813 + 1697 = -3*r. Determine j so that 0*j**4 - 11/6*j**3 - 4/3*j + 1/6*j**5 + 0 - 3*j**r = 0.
-2, -1, 0, 4
Let j be (-11)/(-4) + -3 + 218/8. Suppose 2*p + 21 - j = 0. Factor -12*v**p - 4*v**3 - 4*v**3 + 10 + 15*v**2 + 45*v.
-5*(v - 2)*(v + 1)*(4*v + 1)
Let m(j) be the first derivative of -j**4/6 - 94*j**3/3 - 2209*j**2 + 178*j + 296. Let s(i) be the first derivative of m(i). Let s(c) = 0. What is c?
-47
Let n(p) be the third derivative of 0*p**3 - 1/280*p**6 + 1/28*p**4 + 1/140*p**5 - 26*p + 0 + p**2. Determine q so that n(q) = 0.
-1, 0, 2
Let j be 2/9 - 428/18*-19. Suppose 4*s = -4*t + j, -4*s + 7*s = -9. Factor 8*x**2 - 96*x**3 + 4 - 4 + t*x**3.
4*x**2*(5*x + 2)
Let f(h) be the second derivative of 1/28*h**4 + 0 + 3/14*h**2 + 1/7*h**3 + 66*h. Factor f(t).
3*(t + 1)**2/7
Let y(t) be the second derivative of -4*t**4/3 - 4894*t**3/3 + 1224*t**2 - 1298*t. Factor y(o).
-4*(o + 612)*(4*o - 1)
Let s(r) be the second derivative of -r**4/54 + 47*r**3/27 - 46*r**2/9 + 598*r. Factor s(b).
-2*(b - 46)*(b - 1)/9
Let o(s) = 2*s**2 + 10*s - 9. Let w be o(-6). Suppose -2*v**4 + 9*v**4 + 3*v - 18*v**2 + 3*v + 8*v**2 + 3*v**4 - 10*v**w + 4*v**5 = 0. Calculate v.
-3, -1, 0, 1/2, 1
Let h(n) = 8*n**3 + 386*n**2 + 2787*n + 65. Let x(b) = 4*b**3 + 192*b**2 + 1394*b + 30. Let s(c) = -6*h(c) + 13*x(c). Factor s(q).
4*q*(q + 10)*(q + 35)
Let f(g) be the second derivative of 3*g**5/20 - 10*g**4 + 289*g**3/2 + 495*g**2 - 3092*g. Factor f(z).
3*(z - 30)*(z - 11)*(z + 1)
Let a(r) = -28*r**3 - 3*r**2 - 20*r + 52. Let m be a(4). Let g = m - -1870. Factor -2/13*y**3 + 8/13*y**g + 0 - 6/13*y.
-2*y*(y - 3)*(y - 1)/13
Let b(d) be the third derivative of 1 - 7/6*d**3 + 0*d + 13/24*d**4 - 39*d**2 + 1/30*d**5. Suppose b(w) = 0. Calculate w.
-7, 1/2
Suppose 1017/10*y - 203/5 - 1/2*y**2 = 0. What is y?
2/5, 203
Let l(g) = g**2 + 12*g + 39. Let u be l(-5). Suppose -2*s**3 - 1708*s**2 - s**4 + 0*s**u + 1707*s**2 = 0. What is s?
-1, 0
Factor 3/4*i**2 + 4575675/4 + 3705/2*i.
3*(i + 1235)**2/4
Let u(i) = -i**3 - 4*i**2 + 2*i - 10. Let r be u(-5). Let v(y) = -y**2 + y - 1. Let x(s) = 3*s**2 - 8*s + 6. Let m(p) = r*v(p) + 5*x(p). What is b in m(b) = 0?
1, 5/2
Let g(q) be the second derivative of -8*q**5/5 + 5*q**4/3 + 2*q**3 + 2026*q. Solve g(t) = 0 for t.
-3/8, 0, 1
Factor 492840 - 888*g + 2/5*g**2.
2*(g - 1110)**2/5
Suppose -16*l + 2*l = 34*l. Let x(g) be the third derivative of -31*g**2 - 1/40*g**4 - 1/100*g**5 + 0*g**3 + 0 + l*g. Factor x(s).
-3*s*(s + 1)/5
Let r = -703196 - -703201. Suppose 25/3*a + 1/3*a**r + 40/3*a**2 + 2 + 10/3*a**4 + 10*a**3 = 0. What is a?
-6, -1
Determine f so that -194*f**2 - 491*f**2 + 4*f**4 + 97*f**2 + 299*f**3 + 285*f**3 = 0.
-147, 0, 1
Let q(r) = 30*r**2 + 609*r + 1254. Let k(v) = -7*v**2 - 153*v - 314. Let y(c) = 26*k(c) + 6*q(c). Factor y(u).
-2*(u + 2)*(u + 160)
Suppose -h = -26999*m + 26998*m - 15, 147 = m + 8*h. Solve -21/2*q**m + 21*q + 9 + 9/4*q**4 + 13/4*q**2 = 0.
-2/3, 3
Factor -21*x**3 - 26*x**3 - 493*x + 70*x**3 - 24*x**3 - 47*x**2 - 35*x + 576.
-(x - 1)*(x + 24)**2
Let d(b) be the first derivative of -12*b**4 + 8*b**3 - 3*b**2/2 + 654. Let d(a) = 0. Calculate a.
0, 1/4
Suppose -16517*f**2 - 16515*f**2 - 4499153 - 13280*f + 33027*f**2 - 4318767 = 0. Calculate f.
-1328
Let d(n) be the third derivative of 1/84*n**8 - 1/3*n**4 + 0*n + 58*n**2 + 1/5*n**5 + 1/30*n**6 - 2/35*n**7 + 0*n**3 + 0. Suppose d(m) = 0. Calculate m.
-1, 0, 1, 2
Let a(q) be the second derivative of -4/15*q**3 + 18*q + 7/10*q**2 - 1 + 1/60*q**4. Let a(d) = 0. What is d?
1, 7
Let g(b) be the second derivative of -3*b**5/20 - 265*b**4/4 - 61*b + 1. Let g(c) = 0. What is c?
-265, 0
Let i(a) = -a - 12. Let s be i(-18). Suppose s*j = 9 + 3. Factor 8*y - 8 + 5 - 9*y**j + 3*y**3 + 0*y + y.
3*(y - 1)**3
Let c(z) = z**5 + z**4 + z**3 + z**2 + 2. Let d(s) = -16*s**5 + 327*s**4 + 1376*s**3 + 1581*s**2 + 412*s - 146. Let j(x) = 5*c(x) + d(x). What is u in j(u) = 0?
-2, -1, 2/11, 34
Let v = -13464 - -13470. Let m(p) be the third derivative of 0*p + 1/42*p**4 + 0 + 2/21*p**3 - 1/210*p**v + 19*p**2 - 1/105*p**5. Factor m(l).
-4*(l - 1)*(l + 1)**2/7
Let k(s) be the second derivative of s**5/110 - 419*s**4/66 + 4009*s**3/3 - 3971*s**2 + 5076*s. Factor k(i).
2*(i - 209)**2*(i - 1)/11
Let t(y) = y**2 - 2*y + 12. Let p be t(25). Let b = p - 583. Solve 8/9 + 2/3*g**3 + 110/9*g**2 + 56/9*g - 6*g**5 - 14*g**b = 0.
-2, -2/3, -1/3, 1
Let v(n) be the first derivative of n**4 - 398*n**3/3 - 404*n**2 - 406*n + 1849. Determine k, given that v(k) = 0.
-1, 203/2
Determine t, given that -1/3*t**2 + 338*t - 85683 = 0.
507
Let b(d) be the third derivative of -d**6/480 + 29*d**5/240 - 13*d**4/16 + 616*d**2. Factor b(v).
-v*(v - 26)*(v - 3)/4
Let d = -128 + 130. Solve -6 + 8 + 246*u**d - 251*u**2 + 18 = 0 for u.
-2, 2
Let l(x) = 2*x**2 - 4*x - 12. Let q be l(6). Suppose 5*i + 4*i = q. Find m such that -24*m - i*m**2 + 6*m**2 + 24*m = 0.
0
Find m, given that 1/4*m**4 + 5/4*m**3 - 5/4*m**2 - m + 1 - 1/4*m**5 = 0.
-2, -1, 1, 2
Suppose 94 = -2514*b + 2561*b. Factor -8/3 + 4*t - 4/3*t**b.
-4*(t - 2)*(t - 1)/3
Let m be -38 + 0 + (-36)/18. Let x be (-32)/160 - 18/m. Determine g, given that -x - g**2 - g = 0.
-1/2
Find a such that 0 + 8/7*a**4 + 8/7*a - 26/7*a**2 - 26/7*a**3 = 0.
-1, 0, 1/4, 4
Let f(j) be the second derivative of 1/80*j**5 + 1/120*j**6 + 0 - 1/168*j**7 + 59*j - 1/48*j**4 + 0*j**3 + 0*j**2. Suppose f(v) = 0. Calculate v.
-1, 0, 1
Suppose -3*j + 5*a = 912, j + 5*a - 1211 = 5*j. Let k = j - -449. Suppose 18*q**2 - 144*q + 24*q**2 - k*q - 2*q**3 + 686 = 0. What is q?
7
Let d(g) be the third derivative of 5*g**8/336 - 22*g**7/21 + 299*g**6/12 - 209*g**5 + 5415*g**4/8 + 2394*g**2. Factor d(u).
5*u*(u - 19)**2*(u - 3)**2
Let r(q) be the second derivative of q**4/12 - 76*q. Let m(i) = -5*i**2 - 76*i - 722. Let k(l) = m(l) + 3*r(l). Find d, given that k(d) = 0.
-19
Let s(i) = 25*i**2 - 4*i - 35. Let h be s(10). Find m, given that 38 + 5*m**2 + 67 + h*m - 2535*m = 0.
1, 21
Let h(o) be the second derivative of -8/3*o**4 - 160*o + 0 - 7/3*o**3 - 6/7*o**2 + 4/15*o**6 - 41/70*o**5. What is l in h(l) = 0?
-1, -2/7, -1/4, 3
Solve 304*c + 132*c**3 + 11*c**4 + 77*c**5 - 78*c**5 - 173427*c**2 + 173791*c**2 = 0 for c.
-4, -2, 0, 19
Let f = 370 - 356. Factor -136 - 120 - d**2 + f*d - 137 + 369.
-(d - 12)*(d - 2)
Let x = 464 + -436. Suppose r**5 + 23*r**3 - 17 - 11 + 10*r**4 + x + 14*r**2 = 0. What is r?
-7, -2, -1, 0
Let b(l) = -l + 2. Let h be b(-3). Suppose -h*a - y + 18 = -0*y, 2*y + 9 = 5*a. Solve 4*p + 2*p**3 - 3*p**3 + p**a - 4*p**3 = 0.
-1, 0, 1
Let l be 6/(-15) - (-32)/(-20). Let f = 6 + l. Find k, given that k**5 - 8*k**f - 11*k - 6*k + 18*k**3 - 10*k = 0.
-1, 0, 3
Let y(g) be the third derivative of -g**6/480 + 3*g**5/80 - 7*g**4/48 - 602*g**2. Factor y(o).
-o*(o - 7)*(o - 2)/4
Let g(o) be the second derivative of -o**4/6 - 17*o**3 + 52*o**2 + 3*o. Solve g(r) = 0 for r.
-52, 1
Let l be -57 + (-26934)/(-469) + -1 + 4/6. Factor 50/21*c**2 + 0*c - 20/21*c**3 + l*c**4 + 0.
2*c**2*(c - 5)**2/21
Let c(a) = 6*a**3 + 4*a**2 - 12*a**2 - 34 - 18*a**2 + 44*a. Let q(k) = 16*k + 30*k**2 - 39*k**2 - k - 11 + 2*k**3. Let g(i) = -3*c(i) + 10*q(i). Factor g(w).
2*(w - 4)*(w - 1)**2
Factor -8/3 - 1/3*l**2 + 2*l.
-(l - 4)*(l - 2)/3
Factor -156 - 75*l - 18*l + 333 - 168*l + 3*l**2 + 333.
3*(l - 85)*(l - 2)
Let f(r) = 15*r**5 + 5*r**4 - 31*r**3 - 5*r**2 + 6*r. Let q(l) = 3*l**3 + 2*l. Let d(j) = f(j) + 2*q(j). Solve d(m) = 0 for m.
-1, 0, 2/3, 1
