= 0.
1
Let g(d) be the first derivative of d**4 - 340*d**3/3 + 334*d**2 - 332*d - 1009. Let g(m) = 0. What is m?
1, 83
Let o = 956 + -1911/2. Let j = 4/5 + -11/20. Factor 1/4*k**2 + o*k + j.
(k + 1)**2/4
Suppose 5*o - 6*o - 5*q + 14 = 0, -2 = o - 3*q. Let c be o + (0 - -1) - 53/11. Suppose c*z**2 + 0 - 2/11*z = 0. What is z?
0, 1
Let o(d) = -d**2 + 32*d + 550. Let t be o(-12). Let m(f) be the second derivative of -1/8*f**3 + 3/8*f**2 + 3/80*f**5 - 1/16*f**4 + t*f + 0. Factor m(x).
3*(x - 1)**2*(x + 1)/4
Suppose -2*h = 2*h. Let m be (1/(-2))/(2*5/(-80)). What is a in h*a**m + 10*a**3 - 5*a**2 + 5*a**2 - 5*a**4 = 0?
0, 2
Let g(z) be the third derivative of z**5/20 + 79*z**4/4 + 6241*z**3/2 - 108*z**2 + z - 1. Factor g(n).
3*(n + 79)**2
Let r be 14*(-3)/(-21)*-2 + 6 + -2. Factor r*h + 0 - 4/5*h**2 - 1/5*h**3.
-h**2*(h + 4)/5
Let q(w) = -w**3 - 2*w**2 + w - 1. Let a(j) = -4*j**3 + 78*j**2 + 6*j - 6. Let x(l) = a(l) - 6*q(l). Factor x(y).
2*y**2*(y + 45)
Suppose -g - 14018 = 5*v + 6965, -g - 2*v - 20974 = 0. Let u = g + 105178/5. Find f such that u + 2/5*f**2 + 52/5*f = 0.
-13
Let j = -1/10230 - -1139/23870. Let d(v) be the second derivative of 0 + 0*v**2 - 1/42*v**4 + 8*v + j*v**3. Solve d(h) = 0.
0, 1
Let w = 8 + -4. Suppose 342 + 568 = 182*z. Find t, given that 1/4*t**3 + 1/4*t**z + 0 - 1/2*t - 3/4*t**2 + 3/4*t**w = 0.
-2, -1, 0, 1
Determine m so that -22/3*m + 153/2 + 1/6*m**2 = 0.
17, 27
Let s = 18 + 9. Let y be 6/(-9)*s/(-6). Let -2*b - 4*b**y - 3*b + 2*b**3 - 3*b**3 + 10*b**2 = 0. Calculate b.
0, 1
Let j(y) = -y - 1953 - 18*y + 2165. Let q be j(11). Factor -2/3*w**q + 0 + 10/3*w**2 - 8/3*w.
-2*w*(w - 4)*(w - 1)/3
Let f be (-724)/(-26) - 0 - 38/(-247). Let h(y) be the third derivative of -f*y**2 - 8/21*y**3 + 0*y + 0*y**4 + 0 + 1/105*y**5. Factor h(z).
4*(z - 2)*(z + 2)/7
Let j = 783/127 - 2137/635. Factor 0 - 2/5*q**3 + 12*q - j*q**2.
-2*q*(q - 3)*(q + 10)/5
Let j(c) be the first derivative of -c**7/1680 - c**6/120 - 11*c**5/240 - c**4/8 - 22*c**3 + 57. Let r(w) be the third derivative of j(w). Factor r(a).
-(a + 1)*(a + 2)*(a + 3)/2
Let y(w) = -16*w**3 + 82*w**2 + 266*w + 55. Let x(d) = -7*d**3 + 43*d**2 + 134*d + 28. Let k(u) = 7*x(u) - 4*y(u). Solve k(v) = 0.
-2, -1/5, 4
Solve -485/4*b**2 + 15/4*b**3 + 5/4*b**5 + 65/4*b**4 + 160*b - 60 = 0 for b.
-12, -4, 1
Let y(i) = -6*i**2 - i - 2. Let u = 48 + -41. Suppose -10*n - u = 43. Let o(h) = 7*h**2 + 2*h + 3. Let l(z) = n*y(z) - 4*o(z). Suppose l(v) = 0. Calculate v.
-1/2, 2
Let w(o) be the second derivative of o**4/24 - 5*o**3/4 + 7*o**2/2 + 2229*o. Factor w(j).
(j - 14)*(j - 1)/2
Factor -235*c**3 - 2*c**4 - 20*c**3 + 2989 + 208*c + 2419 + 47*c**3 - 4011*c**2 - 1395*c**2.
-2*(c - 1)*(c + 1)*(c + 52)**2
Let a be (260/20)/39 + (0/(-1))/(-4). Let c(h) be the second derivative of -3*h - 288*h**2 + 0 + 16*h**3 - a*h**4. Determine n so that c(n) = 0.
12
Let c = 17 + -11. Suppose d = 0, -66 + 38 = -2*i + 4*d. Factor 38 - 17 - i + c*o - o**2.
-(o - 7)*(o + 1)
Let g(a) be the second derivative of a**7/56 - 27*a**5/40 - 2*a**4 - 15*a**3/8 + 8244*a. Solve g(f) = 0.
-3, -1, 0, 5
Let w(o) be the third derivative of o**9/22680 - o**8/1680 + o**7/420 + 7*o**4/24 + 36*o**2. Let j(m) be the second derivative of w(m). Factor j(b).
2*b**2*(b - 3)**2/3
Suppose -14*c + 16*c = 8. Suppose 2*v + 4*t = -16, c*v + 0*t = -t + 3. Let 42*h**3 - 2*h**4 + 2*h**v - 20*h**3 + h**5 - 23*h**3 = 0. Calculate h.
-1, 0, 1, 2
Suppose -3*p - 2*b = 2*b - 20, 4*p - 24 = -4*b. Let o = 216564 + -866251/4. Let -45/4 - 15/2*u + 10*u**2 + o*u**p + 15/2*u**3 = 0. What is u?
-3, -1, 1
Let b(i) be the first derivative of -5*i**3/6 + 2895*i**2/4 + 2661. Factor b(m).
-5*m*(m - 579)/2
Let t(u) be the third derivative of u**8/40320 + u**7/90 + 98*u**6/45 - 53*u**5/20 - 7*u**2 + 17. Let d(g) be the third derivative of t(g). Factor d(j).
(j + 56)**2/2
Let x(v) be the third derivative of v**8/30240 - v**7/840 + v**5/20 - v**3/6 - 4*v**2 - 4. Let j(k) be the third derivative of x(k). Factor j(p).
2*p*(p - 9)/3
Let p be (-6)/(-22) - 117116/(-84018). Determine g so that -140/3*g + p*g**2 + 0 = 0.
0, 28
Let t(f) = 49*f**2 + 40*f. Let j(k) = 440*k**2 + 360*k. Let u(a) = -4*j(a) + 35*t(a). Let l(x) = -x**3 - 2*x**2. Let z(o) = -5*l(o) + u(o). Factor z(y).
5*y*(y - 8)*(y + 1)
Let k(z) = -5*z**3 + 270*z**2 + 595*z + 7. Let i(q) = 5*q**3 - 270*q**2 - 590*q - 6. Let g(p) = 7*i(p) + 6*k(p). Factor g(a).
5*a*(a - 56)*(a + 2)
Let v(j) be the second derivative of 4*j**2 + 28*j + 23/6*j**4 - 20/3*j**3 + 0 - 7/10*j**5. Determine n so that v(n) = 0.
2/7, 1, 2
Let r be (1 - 72/9) + 433. Factor 440 + 5*h**2 + 54*h + 5534 + 5546 + r*h.
5*(h + 48)**2
Suppose -2045*x + 998*x + 2094 = 0. Let -2/9*w**x - 44/9*w - 242/9 = 0. What is w?
-11
Suppose -35*b - 3*j + 123 = -30*b, b + 3*j = 51. Factor 0 + 75/2*k - b*k**4 + 69*k**3 + 3/2*k**5 - 90*k**2.
3*k*(k - 5)**2*(k - 1)**2/2
Let g(i) = 6*i + 70. Let w be ((-116)/10)/1 + 3/5. Let b be g(w). Factor 35*o**5 - 25*o**2 - 24*o**2 + 49*o**2 + 10*o**b.
5*o**4*(7*o + 2)
Find c, given that -24*c**5 - 2313*c**4 + 436*c**3 + 630*c**3 - 250*c**3 + 1008*c**2 + 201*c + 2461*c**4 + 119*c = 0.
-2, -4/3, -1/2, 0, 10
Let f(y) be the first derivative of -39*y**2/2 + 11. Let m be f(-1). Find i, given that 11*i**2 + m*i**2 - 78*i**2 - 8 + 36*i = 0.
2/7, 1
Let q(j) = j**2 + 18*j - 17. Let k = 156 - 175. Let y be q(k). Factor -18/7*v**y + 0 + 4/7*v.
-2*v*(9*v - 2)/7
Suppose 2*n = 5*f + 71 + 13, 3*n = 2*f + 27. Let u be ((-9 - -333)/f)/((-21)/10). Find p, given that 12/7*p**3 - 18/7 - u*p**2 - 69/7*p = 0.
-1/2, 6
Let u(j) be the first derivative of 10*j**6/3 + 111*j**5 + 75*j**4 - 2750*j**3/3 + 1140*j**2 - 405*j + 1117. Let u(d) = 0. Calculate d.
-27, -3, 1/4, 1
Let v(p) be the first derivative of -p**5/15 + p**4/6 - 337. Factor v(x).
-x**3*(x - 2)/3
Let z be ((-260)/(-12) - 14)/(2/(-132)). Let n = 1015/2 + z. Determine k, given that -9/2*k**3 + 3/2*k**4 + n*k**2 + 9/2*k - 3 = 0.
-1, 1, 2
Let a(r) be the first derivative of -r**6/18 + 17*r**5/3 + 631*r**4/12 + 1199*r**3/9 - 43*r**2 - 552*r - 4786. Determine c, given that a(c) = 0.
-3, -2, 1, 92
Let n(u) = 12*u - 718. Let g be n(60). Let h(i) be the third derivative of 1/8*i**4 + 0*i + 0 + 0*i**3 + 1/20*i**5 - 12*i**g. Factor h(l).
3*l*(l + 1)
Let x(d) be the third derivative of d**5/240 + 217*d**4/96 + 9*d**3 - 254*d**2 + d + 2. Solve x(b) = 0 for b.
-216, -1
Let i(x) be the second derivative of -12*x**2 - 43/3*x**4 - 86/3*x**3 - 6/5*x**5 + 0 + 158*x. What is q in i(q) = 0?
-6, -1, -1/6
Let b(r) be the third derivative of 1/60*r**4 - 1/1200*r**6 + 36*r**2 + 0*r + 0*r**3 + 0*r**5 + 0. Factor b(u).
-u*(u - 2)*(u + 2)/10
Factor 7479723 - 4226*j - 1667*j - 3581*j + 23*j**2 + 0*j**2 - 20*j**2.
3*(j - 1579)**2
Let c(u) = u**5 - 31*u**4 + 3*u**3 + 16*u**2 + 11*u. Let p(f) = f**5 - 9*f**4 - f**3 + f. Let w(t) = 2*c(t) - 6*p(t). Determine o, given that w(o) = 0.
-2, -1, 0, 2
Let j be ((-4)/(2*-1))/((-382)/(-573)). Suppose -4*h**3 + 54524*h - 35*h**2 - 54534*h + 24*h**j = 0. What is h?
-1/4, 0, 2
Factor -1836/5 + 368*f - 4/5*f**2.
-4*(f - 459)*(f - 1)/5
Factor -6/11*w**2 + 48/11*w - 2/11*w**3 - 56/11.
-2*(w - 2)**2*(w + 7)/11
Suppose -7*q = -350 + 70. Let f(s) = 9*s**2 + s + 2. Let d(m) = -m**2 - 1. Let x(j) = q*d(j) + 5*f(j). Solve x(p) = 0 for p.
-3, 2
Find p such that -213*p - 21 - 105/4*p**5 - 2703/4*p**2 - 1101/4*p**4 - 2931/4*p**3 = 0.
-7, -2, -1, -2/7, -1/5
Let x = 46857/2 + -23424. Let p(h) be the first derivative of 36 - 14*h - 1/3*h**3 - x*h**2. Let p(l) = 0. What is l?
-7, -2
Suppose -16 = 200*i - 198*i, 5*i + 16 = -8*z. Factor -3*l**2 + 9/2*l + 3/8*l**z + 0.
3*l*(l - 6)*(l - 2)/8
Let m(q) be the second derivative of q**5/10 - 2*q**4 + 500*q. What is g in m(g) = 0?
0, 12
Let s(o) be the first derivative of 40/7*o**3 + 24/7*o - 58/7*o**2 + 168 - o**4. Let s(u) = 0. Calculate u.
2/7, 1, 3
Determine o, given that -40/3*o + 0 - o**2 + 1/3*o**3 = 0.
-5, 0, 8
Let b be (-3531)/(-209) - 17 - (10/(-95) + -3). Let 2*z**4 + 28/11*z + 6/11 + 52/11*z**2 + 4/11*z**5 + 48/11*z**b = 0. Calculate z.
-3/2, -1
Let d(o) be the first derivative of -o**6/2 - 18*o**5 - 759*o**4/4 - 420*o**3 - 294*o**2 + 346. Determine v so that d(v) = 0.
-14, -1, 0
Let p = -2/288521 - -1442611/865563. Let l = 241/3 - 79. Factor -l*w