j**2 - 52*j - 10. Let l(s) = -5*n(s) - 21*v(s). What is c in l(c) = 0?
-19, -1, 0
Suppose 3*q - 2*q = 0. Let p(z) be the first derivative of 6 + 16*z - z**3 - 3*z**3 + 8*z**2 - 17 + q*z**3. Factor p(t).
-4*(t - 2)*(3*t + 2)
Let -1/5*c**3 + 0*c + 0 - 291/5*c**2 = 0. Calculate c.
-291, 0
Let w(s) be the second derivative of s**4/12 + s**3/3 + s**2/2 + 1727*s. Solve w(d) = 0 for d.
-1
Let g(i) be the first derivative of -2*i**3/27 + 25*i**2/9 + 124*i/3 + 2944. What is o in g(o) = 0?
-6, 31
Determine f so that -88*f**2 + 4*f**4 + 87*f**3 + 62*f + 2*f - 67*f**3 = 0.
-8, 0, 1, 2
Let o(l) be the third derivative of -25*l**9/3024 + l**8/168 + 27*l**3/2 + l**2 + 28*l. Let m(a) be the first derivative of o(a). What is z in m(z) = 0?
0, 2/5
Let d(u) be the second derivative of -u**6/60 + u**5/10 - u**4/6 - 3341*u. Let d(s) = 0. What is s?
0, 2
Let g be (-2)/(-5) + (-37)/5. Let h(d) = -16*d**2 - d**2 - 316 + 315 + 18*d. Let o(k) = 9*k**2 - 9*k. Let s(q) = g*o(q) - 3*h(q). Find i, given that s(i) = 0.
-1/4, 1
Let s be 37/7 + (-50)/175. What is h in 2*h**4 - 62*h - 57*h - 1 - 8*h**3 + 127*h + 4*h**2 - s = 0?
-1, 1, 3
Let g(k) = -3*k**2 - 11241*k + 15780957. Let l(z) = z**2 + 5620*z - 7890479. Let u(i) = 2*g(i) + 5*l(i). Find v such that u(v) = 0.
2809
Let a(k) be the first derivative of k**5/5 - 61*k**4/2 + 1596*k**3 - 26460*k**2 - 296352*k - 162. Factor a(d).
(d - 42)**3*(d + 4)
Suppose 0 = 10*i + 14*i - 217536. Factor 9061*o**2 - 165*o - i*o**2 + 675*o - 21675.
-3*(o - 85)**2
Determine s so that 22*s - 212/5 - 2/5*s**2 = 0.
2, 53
Let l be (-28)/210 + (-141)/(-45). Find b, given that -3*b + b**3 + 58*b**2 - 3*b**4 + 2*b**l - 115*b**2 + 60*b**2 = 0.
-1, 0, 1
Factor 16/5 - 2/5*t**2 + 4/5*t.
-2*(t - 4)*(t + 2)/5
Let h(u) be the second derivative of 2*u**6/3 + 19*u**5/5 - 11*u**4 - 22*u**3/3 + 40*u**2 + 33*u. Factor h(y).
4*(y - 1)**2*(y + 5)*(5*y + 4)
Let c = -60 + 58. Let y be c/(6/(-18) + (-1)/(-9)). Factor 10*m**2 - y*m**2 + 2*m + m**2.
2*m*(m + 1)
Let t(l) be the third derivative of l**5/210 + 3*l**4/28 - 20*l**2 + 10. Factor t(a).
2*a*(a + 9)/7
Let x be 39765/1205 + 1382/(-42). Factor 4/21*h**3 + x*h**4 - 10/7*h**2 + 0 - 24/7*h.
2*h*(h - 4)*(h + 3)**2/21
Let d(i) be the third derivative of -i**5/450 - 3*i**4/20 + 22*i**3/5 + 224*i**2 + 15*i - 1. Find q such that d(q) = 0.
-33, 6
Let k(y) be the third derivative of -y**6/320 - 167*y**5/240 - 109*y**4/48 + 55*y**3/6 + 213*y**2 + 2*y. Factor k(g).
-(g + 2)*(g + 110)*(3*g - 2)/8
Let w(d) = 8*d**3 - 39*d**2 - 31*d + 2342. Let v(m) = 3*m**3 - 20*m**2 - 18*m + 1172. Let l(h) = -5*v(h) + 2*w(h). Factor l(u).
(u - 6)*(u + 14)**2
Let i(b) be the first derivative of -6/5*b**2 + 3/5*b**4 - 2/5*b**3 - 2 - 3/25*b**5 + 9/5*b. Let i(s) = 0. Calculate s.
-1, 1, 3
Let j(x) be the third derivative of x**6/300 + 67*x**5/150 + 221*x**4/20 - 5577*x**3/5 + 2*x**2 + 330*x - 2. Let j(i) = 0. Calculate i.
-39, 11
Let k(s) = 6*s**3 - 1077*s**2 + 1044*s. Let m(l) = 5*l**3 - 1074*l**2 + 1045*l. Let i(d) = -8*k(d) + 9*m(d). Let i(p) = 0. What is p?
-351, 0, 1
Factor 0 - 28/9*x**2 + 98/9*x + 2/9*x**3.
2*x*(x - 7)**2/9
Suppose -15*r + 558981 + 251619 = 0. Factor -16264 - r + 4*c**3 + 7300*c + 2259*c - 1447*c - 312*c**2.
4*(c - 26)**3
Let i be -10*((-468)/264)/39. Let a(h) be the first derivative of 4/11*h - 17 + i*h**2 + 2/11*h**3. Solve a(r) = 0.
-1, -2/3
Let d be (-3)/((-2)/150*9). Let y be 2/5 + ((-120)/d)/(-4). Solve 16/5*j + 2*j**2 - y = 0 for j.
-2, 2/5
Let n(c) be the third derivative of 0 - 2/105*c**7 + 0*c + 3/5*c**5 + 0*c**3 - 20*c**2 - 5/6*c**4 - 1/10*c**6. Find u, given that n(u) = 0.
-5, 0, 1
Suppose -3*k - 3*t + 789 = 0, 0 = k - 4*t - 0*t - 253. Let r = 263 - k. Factor -136/3*i - 340/9*i**3 + 8 + 698/9*i**r + 50/9*i**4.
2*(i - 3)**2*(5*i - 2)**2/9
Suppose -55 = -11*x - 4*n + 281, 0 = -3*x + 3*n + 63. Factor 292*h**3 + 0 + 176/7*h + 1216/7*h**2 - x*h**4.
-4*h*(h - 11)*(7*h + 2)**2/7
Let y = -370 - -374. Find k such that 27*k - 12 - 7*k**3 - 91*k**y - k**2 + 90*k**4 + 3 - 9 = 0.
-6, -3, 1
Suppose 4*o + c = -350, 5*o - c + 442 = -0*c. Let u be o/(-32) - 3/(-12). Factor 7*b**5 + 10*b**4 + 5*b**u - 10*b**5 + 8*b**5.
5*b**3*(b + 1)**2
Let u(l) be the second derivative of 5*l**6/3 + 21*l**5/2 - 97*l**4/2 - 77*l**3/3 + 294*l**2 + 15*l + 23. What is c in u(c) = 0?
-6, -1, 7/5
Let q(k) = -k**5 + 8*k**4 - 11*k**3 + 5*k**2. Let d(z) = -1 + 1 - 922*z**2 + 921*z**2 - z**3. Let n(i) = -10*d(i) - 2*q(i). What is b in n(b) = 0?
0, 4
Let k = -739 - -1444. Solve 20*m**2 - k*m**5 + 238*m**5 + 237*m**5 + 10*m**3 - 20*m**4 - 15*m + 235*m**5 = 0 for m.
-1, 0, 1, 3
Let l(p) be the first derivative of p**4/12 - 173*p**3/9 - 263*p**2/3 - 352*p/3 - 6683. Factor l(m).
(m - 176)*(m + 1)*(m + 2)/3
Let y be 42/(-5)*150/(-90)*19/133. Determine q, given that 28/5*q + 2/5*q**y - 6 = 0.
-15, 1
Suppose -3374 = 6*l - 3410. Suppose -k = 2*i - 5, l = -3*k + k. Let 4/5*j**3 + 3/5*j**2 - 4/5*j + 1/5*j**i - 4/5 = 0. Calculate j.
-2, -1, 1
Let g(b) = 25*b**2 + 276*b + 983. Let q(c) = -81*c**2 - 814*c - 2948. Let s(n) = 13*g(n) + 4*q(n). Suppose s(v) = 0. What is v?
-329, -3
Let j(q) be the second derivative of 3*q**5/80 - 199*q**4/48 + 1111*q**3/8 - 1089*q**2/8 + 288*q. Solve j(t) = 0 for t.
1/3, 33
Factor 4/3*b**2 - 3776/3*b + 2512.
4*(b - 942)*(b - 2)/3
Let z = -14259 + 71298/5. Solve 12*x + z*x**3 + 0 + 36/5*x**2 = 0.
-10, -2, 0
Suppose -i + q = -12, 4*i - 5*q - 43 = -2*q. Let v be (i/(882/(-12)))/(8/(-60)). Factor 4/7*g**3 - v*g**2 + 0 - 1/7*g**4 + 2/7*g.
-g*(g - 2)*(g - 1)**2/7
Let n be (-1)/(-4) + (-399)/56*2. Let z be (n/(-49))/(1/7). Find l, given that 6*l**2 + 2*l**3 + z*l + 0*l**3 - 2*l**2 = 0.
-1, 0
Suppose 28*i - 1368 = 9*i. Let d be (0 - 12)*i/(-2016). Let -d - 2/7*p + 1/7*p**2 = 0. What is p?
-1, 3
Factor 64 - 80*y**3 + 448*y - 644*y**2 - 18*y**3 + 230*y**3.
4*(y - 4)*(y - 1)*(33*y + 4)
Let c(h) be the first derivative of 2*h**5/5 - 19*h**4/2 + 88*h**3/3 + 64*h**2 - 3614. Factor c(v).
2*v*(v - 16)*(v - 4)*(v + 1)
Let t(v) = -7*v + 80. Let h be t(12). Let x be 12/(3/1) - 32/h. Determine w so that 9*w**2 - x*w**2 + w**4 + 2*w - 2 + 3*w - w**3 = 0.
-2, 1
Let x be ((-1)/(-5)*185/407)/(77/121). Find v, given that x*v**2 + 1/7*v + 0 = 0.
-1, 0
Let d(i) = -i**2 - 1466*i - 535816. Let p(n) = -5*n**2 - 7331*n - 2679076. Let x(a) = 11*d(a) - 2*p(a). Factor x(b).
-(b + 732)**2
Suppose 17*d - 34*d = -34. Solve 33 + 20*p - p**d + 5*p**2 + 20 - 77 = 0.
-6, 1
Let v(w) be the second derivative of -w**6/360 + w**5/90 + w**4/18 - 4*w**3/9 + 53*w**2/2 - 5*w + 5. Let a(y) be the first derivative of v(y). Factor a(b).
-(b - 2)**2*(b + 2)/3
Let n = -65/14 - -36/7. Let z be (-20)/(-1) + (-2006)/102. Factor 0*a**2 + z + 1/6*a**3 - n*a.
(a - 1)**2*(a + 2)/6
Let o be (-12)/(-2) + 217/(-7). Let h be (18/(-54))/(o/180). Factor 0 + h*r**4 + 8/5*r**2 + 18/5*r**3 + 0*r + 2/5*r**5.
2*r**2*(r + 1)**2*(r + 4)/5
Factor -2/5*k**2 - 264/5 - 266/5*k.
-2*(k + 1)*(k + 132)/5
Let a(m) be the second derivative of -m**4/6 + 148*m**3/3 - 147*m**2 - 2398*m. Factor a(x).
-2*(x - 147)*(x - 1)
Let i(q) be the first derivative of q**5/360 - 5*q**4/144 - q**3/6 + 61*q**2/2 - 65. Let r(p) be the second derivative of i(p). Factor r(f).
(f - 6)*(f + 1)/6
Factor -113*x**5 + 34*x**4 + 363*x**5 - 534*x**3 + 2064*x**3 - 972*x**2 + 216*x - 1059*x**4.
x*(2*x - 1)*(5*x - 6)**3
Let q(j) be the second derivative of 0*j**3 + 1 + 0*j**2 + 87*j + 1/3*j**4 - 1/20*j**5. Determine c so that q(c) = 0.
0, 4
Let v(m) = -140*m + 12044. Let f be v(86). Find d such that 1/3*d**2 + 0*d - 1/6*d**f + 0*d**3 - 1/6 = 0.
-1, 1
Let q(m) be the first derivative of m**3 + 81*m**2/2 + 540*m - 454. Find z such that q(z) = 0.
-15, -12
Let f(n) = -20*n**4 - 10*n**3 - 20*n**2 - 25. Let m(d) = 7*d**2 + 3*d + 3. Let t be m(-2). Let v(z) = z**4 + z**3 + 1. Let p(a) = t*v(a) + f(a). Factor p(c).
5*c**2*(c - 1)*(c + 4)
Let c(a) be the second derivative of -a**5/120 + 35*a**4/36 + a**3/36 - 35*a**2/6 - 6*a + 76. Factor c(d).
-(d - 70)*(d - 1)*(d + 1)/6
Let p = 4577/6402 - 103/2134. Factor 1/6*x**4 + 1/3*x**3 - 7/6*x**2 + 0 + p*x.
x*(x - 1)**2*(x + 4)/6
Suppose -3*o + 95*a + 9 = 98*a, -3*a = 4*o - 12. Let j be 45/15 - 3/o. Find f such that 1/2*f**j + 225/2 - 15*f = 0.
15
Solve 10*v**4 - 11*v**4 - 2791 - 2*v**3 + 3916 + 140*v**2 - 750*v = 