d - 1)/4
Suppose 38*g - 3*p = 1199 - 1019, -2*g = -4*p - 94. Solve 0 + 2/21*v**2 + 2/21*v**g - 4/21*v = 0.
-2, 0, 1
Let m(i) be the first derivative of i**4/40 - 11*i**3/30 + 31*i**2/20 - 21*i/10 - 789. Suppose m(c) = 0. Calculate c.
1, 3, 7
Solve -200 - 178*z**2 + 265*z + 147*z + 120*z**3 - 247*z**2 + 130*z - 32*z - 5*z**4 = 0.
1, 2, 20
Let u(t) = -925447*t**2 - 3851*t + 5. Let c(j) = j**2 + j - 3. Let f(g) = 3*c(g) + u(g). Factor f(w).
-4*(481*w + 1)**2
Let y be 53 - 21/14*(3 + -1). Let n = y + -46. Find j, given that 3 - 27*j + 176*j**3 + 413*j**4 + 43*j**3 + 108*j**5 + 9*j**2 - 125*j**n = 0.
-1, 1/6
Let a = 543 + -431. Let v = -782/7 + a. Suppose 2/7*s**5 - v*s**3 + 0*s - 2/7*s**2 + 0 + 2/7*s**4 = 0. Calculate s.
-1, 0, 1
Suppose -2*z + 3*z - 32 = -2*d, -3*z = 3*d - 102. Let r be (207/z)/((-2)/(-48)). Factor r - 5*a**3 - 138.
-5*a**3
Let w be (-2)/13 + 12/(-42)*7/(-13). Let s(p) be the third derivative of 0 + 9/40*p**5 + 0*p**3 + w*p + 0*p**4 - 1/80*p**6 - 43*p**2. Factor s(y).
-3*y**2*(y - 9)/2
Let a(r) = r**2 + 52*r + 2. Let m be a(-52). Let p(z) be the first derivative of -4/5*z**5 + 12 + 4*z + 0*z**3 + 4*z**m - 2*z**4. Determine q so that p(q) = 0.
-1, 1
Let m be ((-13)/((-1053)/(-36)))/(-3 + 8/3). Let l = -43/3 - -16. Let m*w**4 - 2/3*w**2 - l*w + 1/3*w**5 + 4/3*w**3 - 2/3 = 0. What is w?
-2, -1, 1
Let r(x) = -6*x**2 - 48*x - 27. Let q(j) be the first derivative of j**3/3 + 7*j**2/2 + 4*j + 43. Let o(z) = -15*q(z) - 2*r(z). Factor o(p).
-3*(p + 1)*(p + 2)
Let t(s) be the second derivative of -2*s**6/15 - 23*s**5/5 - 50*s**4 - 200*s**3/3 + 2000*s**2 - 7*s + 68. Factor t(y).
-4*(y - 2)*(y + 5)*(y + 10)**2
Let a be -2 - (12 + -2) - (-20 - (-44)/11). What is j in -11/5*j**3 + 0*j + 0 + 1/5*j**a - 12/5*j**2 = 0?
-1, 0, 12
Let j(o) be the second derivative of o**4/18 - 95*o**3/9 - 194*o**2/3 + 401*o - 6. Factor j(f).
2*(f - 97)*(f + 2)/3
Let c be (10 - (92016/(-1530))/(-6))*-10. Let 2/17*h**2 - 30/17 - c*h = 0. Calculate h.
-3, 5
Let d(v) = 2*v**2 + 9*v + 33. Let g be d(-4). Suppose -k + 31 = g. Factor -4/5*j + 6/5*j**k - 2/5*j**3 + 0.
-2*j*(j - 2)*(j - 1)/5
Let y be 3 + 76/228*(1 + 5). Let l(c) be the second derivative of -21/160*c**y - 3/2*c**2 + 11/8*c**3 + 23/32*c**4 - 12*c + 0. Let l(q) = 0. What is q?
-1, 2/7, 4
Let h(b) = 2*b + 10. Let m be h(-3). Suppose -10*z = m - 44. Let -4*y**4 - 4*y**3 - 8*y**4 - 2*y**2 + 13*y**z + y**4 + 4*y = 0. What is y?
-1, 0, 1, 2
Let o be 36/((11 - 11) + (3 - 2)). Suppose -k + 3 = 8, 5375 = 2*b - 5*k. Factor -1 - o*t - b*t**2 + 2663*t**2 + 16*t**3 - 7.
4*(t - 2)*(t + 1)*(4*t + 1)
Factor 1152*n + 24*n**2 + 18432 + 1/6*n**3.
(n + 48)**3/6
Let f be (1790/7160)/((-3)/(-16)). Suppose 3*b - 8 = -2*u, -2 = -u + 2. Factor b - f*v + 10/9*v**2 - 2/9*v**3.
-2*v*(v - 3)*(v - 2)/9
Let w = 140 - 136. Solve -28*n**2 - 17*n**4 + 16*n**w - 88*n**3 - 144 + 384*n + 21*n**4 = 0 for n.
-2, 2/5, 3
Let f(c) be the second derivative of c**5/10 + 299*c**4/2 - 599*c**3 + 899*c**2 + 7728*c. Let f(t) = 0. Calculate t.
-899, 1
Let p be (-6)/(-15) + 0 - 107/5. Let v be (-17)/17 + p/(-15). Factor 0 - 8/5*o - 2*o**3 + v*o**4 + 16/5*o**2.
2*o*(o - 2)**2*(o - 1)/5
Let s be (-136)/(-255) + (-9)/6 + 1. Let c(a) be the third derivative of 0 - s*a**5 + 0*a**3 - 1/60*a**6 + 0*a**4 - 10*a**2 + 0*a. Let c(i) = 0. Calculate i.
-1, 0
Suppose 4*d - 1619 = 5*h, -14*d + 832 = -12*d + 2*h. Factor -127*q**2 + 4*q**3 - 676 + 19*q**2 + 91*q + d*q + 278*q.
4*(q - 13)**2*(q - 1)
Let a = 530/3 - 174. Let r(i) = -9*i**3 - 208*i**2 - 21*i + 54. Let s be r(-23). Solve a*h**3 - 1/3*h**4 - s*h**2 - 16/3 + 32/3*h = 0 for h.
2
Let y(o) be the second derivative of -1/105*o**6 + 0*o**2 + 0 - 5/21*o**4 + 11/70*o**5 + 0*o**3 - 93*o. Let y(i) = 0. Calculate i.
0, 1, 10
Let b(k) = 17*k**2 - 1599*k + 3188. Let v(o) = -228*o**2 + 20787*o - 41445. Let p(w) = -27*b(w) - 2*v(w). Factor p(q).
-3*(q - 531)*(q - 2)
Suppose -1952/9*r + 4/3*r**3 + 1156/9*r**2 + 784/9 = 0. What is r?
-98, 2/3, 1
Let u(k) be the third derivative of -1/1080*k**6 + 7/54*k**3 + 13/216*k**4 + 155 - 2*k**2 + 1/108*k**5 + 0*k. Factor u(o).
-(o - 7)*(o + 1)**2/9
Factor 25/6*p**3 - 7/3*p**2 + 0 - 11/6*p**4 + 0*p.
-p**2*(p - 1)*(11*p - 14)/6
Determine k so that 4/7*k**2 + 796/7*k + 0 = 0.
-199, 0
Let v(f) be the third derivative of -f**8/1344 + f**7/280 + 47*f**6/480 - 49*f**5/80 + 49*f**4/48 - 2*f**2 - f - 3716. Suppose v(o) = 0. Calculate o.
-7, 0, 1, 2, 7
Let k = -1246 + 1248. Let a(h) be the second derivative of 1/5*h**5 - 6*h + 0*h**k + h**4 + 0 + 4/3*h**3. Determine g, given that a(g) = 0.
-2, -1, 0
Let n(o) = o**4 + 5*o**3 + 2*o**2 - 5. Let y(z) = 8*z**4 + 50*z**3 + 76*z**2 + 32*z - 10. Let u(i) = -4*n(i) + 2*y(i). Factor u(d).
4*d*(d + 2)*(d + 4)*(3*d + 2)
Let o(y) = -10*y**3 - 1602*y**2 + 3880*y - 1310. Let k(l) = -20*l**3 - 3202*l**2 + 7748*l - 2623. Let h(z) = -2*k(z) + 5*o(z). Suppose h(x) = 0. Calculate x.
-163, 2/5, 2
Determine u, given that -1041/2 - 521*u - 1/2*u**2 = 0.
-1041, -1
Let k(v) be the first derivative of 3*v**5/25 - 33*v**4/10 + 29*v**3/5 + 348*v**2/5 - 144*v + 24. Solve k(q) = 0.
-3, 1, 4, 20
Suppose 36*s + 101 = 37*s + 3*z, -5*s = -5*z - 525. Let n = 237/2 - s. Factor -4*q - 47/2*q**2 + n*q**3 + 8 + 35/2*q**4 - 25/2*q**5.
-(q - 1)**3*(5*q + 4)**2/2
Let n(q) be the second derivative of -2/15*q**6 - 2/5*q**5 + 0*q**2 + 67*q + q**4 + 0 + 0*q**3. Solve n(w) = 0.
-3, 0, 1
Let d(s) be the second derivative of -s**4/20 - 220*s**3 - 363000*s**2 - s - 651. Factor d(o).
-3*(o + 1100)**2/5
Suppose -3*t + 59 = -5*r - 61, 120 = 3*t - r. Let n be 5/(-19)*t/(-100). Find q such that n*q**2 - 2/19*q - 4/19 = 0.
-1, 2
Suppose -h + 7 = 9*m - 6*m, 0 = -4*m + 3*h + 5. Factor 6*v - 18*v - v**2 + 10 - 2*v**m + 17 - 12.
-3*(v - 1)*(v + 5)
Suppose -8 = 7*m - 36. Factor -16282*k - 5*k**3 + 6*k**2 + 16282*k - k**m.
-k**2*(k - 1)*(k + 6)
Solve 0*w - 81/10 + 1/10*w**2 = 0.
-9, 9
Suppose -6*g - 9 = 9. Let t be g - (-155)/35 - (0 + 1). Suppose t*o**3 + 0*o + 0 + 6/7*o**2 = 0. Calculate o.
-2, 0
Solve 90601 + 1/9*y**2 - 602/3*y = 0.
903
Suppose 43 = 23*g - 26. Factor -25*p**2 - 118*p - 13*p**2 - 127*p**2 - 155 - 272*p + 75*p - 5*p**g.
-5*(p + 1)**2*(p + 31)
Let z(g) be the first derivative of -g**3/3 - g**2/2 - g + 2. Let s(w) = -6*w**2 - 98*w + 474. Let n(c) = -s(c) + 10*z(c). What is f in n(f) = 0?
11
Let p(b) = 848*b - 17806. Let x be p(21). Find c, given that -21 - 3/2*c**x + 45/2*c = 0.
1, 14
Suppose -3*p + 96 + 90 = 4*x, -2*p = -5*x + 221. Factor 27*t - 34*t**3 + 4*t**4 + 67*t**3 + 2*t**4 + x*t**2 + 6 + 3*t**4.
3*(t + 1)**3*(3*t + 2)
Let g(v) be the first derivative of v**5 + 495*v**4/2 - 3005*v**3/3 + 1005*v**2 - 3371. Factor g(b).
5*b*(b - 2)*(b - 1)*(b + 201)
Let w(m) be the second derivative of -m**7/21 + 16*m**6/15 - 31*m**5/5 - 8*m**4/3 + 21*m**3 - 2980*m. Suppose w(k) = 0. Calculate k.
-1, 0, 1, 7, 9
Factor -5*j**2 + 1190 + 1179 + 0*j**2 - 419 + 20 + 975*j.
-5*(j - 197)*(j + 2)
Suppose 2883 = -412*k + 1369*k + 969. Factor -1/6*b**k - 7/6 + 4/3*b.
-(b - 7)*(b - 1)/6
Let y(a) = 95*a**3 - 259*a**2 + 8355*a + 72576. Let t(p) = -221*p**3 + 513*p**2 - 16711*p - 145152. Let o(x) = 3*t(x) + 7*y(x). Find z, given that o(z) = 0.
-7, 72
Let z(p) = -25*p**2 - 2913*p - 532893. Let v(t) = -72*t**2 - 8740*t - 1598680. Let b(q) = 7*v(q) - 20*z(q). Factor b(r).
-4*(r + 365)**2
Let i(p) be the second derivative of p**6/15 - 21*p**5/5 + 110*p**4 - 4598*p**3/3 + 11979*p**2 + 1143*p. What is m in i(m) = 0?
9, 11
Let y be 2*(-137)/(-86) + 4/(-2). Let i = 10653/172 - y. Let -297/4*n - i - 3/4*n**3 - 57/4*n**2 = 0. What is n?
-9, -1
Suppose 105*k + 235*k + 272*k = 146*k - 13*k. Factor -20/7*y**4 + 0*y + 2/7*y**5 + k + 0*y**2 - 22/7*y**3.
2*y**3*(y - 11)*(y + 1)/7
Factor u**2 + 72*u**4 + 40 + 72*u**4 - 7*u**2 - 28*u - 221*u**4 + 76*u**4 + 7*u**3.
-(u - 5)*(u - 2)**2*(u + 2)
Suppose -390 + 480*g - 171*g**2 + 82*g**2 + 86*g**2 - 387*g = 0. Calculate g.
5, 26
Suppose -11*g + 40 = 9*g. Factor -35*z + 326*z**g - 30 + 5*z**3 - 326*z**2.
5*(z - 3)*(z + 1)*(z + 2)
Suppose -1347 = -175*v - 178*v - 641. Factor -45*y**4 - 7545/2*y**v + 6885*y + 3195/4*y**3 - 4374 + 3/4*y**5.
3*(y - 27)**2*(y - 2)**3/4
Let 280*t - 63*t**3 - 76*t**3 + 96 - 83*t**3 + 268*t**3 + 208*t**2 = 0. Calculate t.
-2, -12/23
Let z(p) = -p - 1. Let v(x) = 