*x**5 - 6*x**3 - 32 + 3/4*x**4 + 24*x. Find c such that v(c) = 0.
-2, 1, 2
Let c be (3/(1 + -2 - 0))/(-96 - (-34 + -61)). Factor 0 - 1/4*d**c - 5/4*d - 3/2*d**2.
-d*(d + 1)*(d + 5)/4
Let c(d) be the second derivative of -71/15*d**5 - 4*d**3 - 2/9*d**6 + 50/63*d**7 - 18*d + 0 + 23/3*d**4 + 0*d**2. Solve c(m) = 0 for m.
-2, 0, 3/5, 1
Factor 214/7*q**2 + 618/7 + 830/7*q + 2/7*q**3.
2*(q + 1)*(q + 3)*(q + 103)/7
Let p(k) = -22*k**2 - 170*k + 10. Let n(b) = 7*b**2 + 57*b - 3. Let r be ((-10)/(-10))/(-2*3/18). Let i(q) = r*p(q) - 10*n(q). Find j, given that i(j) = 0.
-15, 0
Let j(r) = -2*r**2 - 9*r + 7. Let f be j(-5). Suppose f*l - l - 2 = 0. Determine q so that l*q - 3*q**2 + 28*q - 2*q**2 - 45 = 0.
3
Let b(k) be the second derivative of 5*k**4/72 - 775*k**3/36 - 65*k**2 - 49*k - 13. Factor b(l).
5*(l - 156)*(l + 1)/6
Let t be (-1)/10*(-29)/87. Let q(p) be the second derivative of 0*p**4 + 0*p**2 + 0*p**3 - 5*p + t*p**5 + 0 + 1/126*p**7 - 1/30*p**6. Factor q(s).
s**3*(s - 2)*(s - 1)/3
Let o(k) = k**3 - 25*k**2 + 46*k + 5. Let m be o(23). Determine t so that -8787*t**m - 40*t**3 + 175*t**3 - 150*t**2 + 8790*t**5 - 36*t**4 = 0.
0, 2, 5
Let s(a) be the first derivative of a**3 - 10965*a**2 + 40077075*a + 7894. Factor s(h).
3*(h - 3655)**2
Factor -2*l - 2/3*l**2 + 1/6*l**3 + 0.
l*(l - 6)*(l + 2)/6
Factor -4095*w**2 - 70*w**4 + 98*w**3 + 73*w**4 + 3720*w**2 - 470*w**3.
3*w**2*(w - 125)*(w + 1)
Let u(q) = q**2 - 5*q + 2. Let i be u(0). Find a, given that 4*a**4 - 4*a**3 + 20*a - 48 - 12*a**i - 43 + 130 - 47 = 0.
-2, 1
Let s(j) be the first derivative of j**5/80 + 9*j**4/32 - 5*j**3/4 - j**2 - 11*j - 83. Let t(r) be the second derivative of s(r). Factor t(a).
3*(a - 1)*(a + 10)/4
Factor 15*v - 6*v**3 + 117/2*v**2 + 0.
-3*v*(v - 10)*(4*v + 1)/2
Solve 64*y**2 + 160*y + 1/5*y**4 - 38/5*y**3 + 0 = 0.
-2, 0, 20
Let j(c) be the first derivative of -c**4/14 + 9826*c**3/21 - 6036848*c**2/7 + 12063872*c/7 - 5368. What is n in j(n) = 0?
1, 2456
Let y(k) = -3*k**4 + k**3 + 3*k**2 - 1. Let g(m) = 6*m**4 + 30*m**3 - 3*m**2 - 360*m + 3. Let f(u) = g(u) + 3*y(u). Factor f(v).
-3*v*(v - 10)*(v - 4)*(v + 3)
Let s(o) = 4*o**2 - 96*o + 97. Let t be s(1). Let g(k) be the first derivative of -5/3*k**3 + 15*k - t*k**2 - 10. Factor g(j).
-5*(j - 1)*(j + 3)
Let i be (20 + 0 + -18)*2. Let d(b) be the second derivative of -1/70*b**5 - 4/7*b**2 + 4/21*b**3 + 1/42*b**i + 0 - 26*b. Factor d(y).
-2*(y - 2)*(y - 1)*(y + 2)/7
Let n = -1493 + 1470. Let u be n/(-69) + (-15)/(-9). Find z such that u*z - 1/2*z**3 - 1/4*z**4 + 1 + 3/4*z**2 = 0.
-2, -1, 2
Let r(s) = 17*s**3 - 7*s**2 - 127*s + 107. Let l(w) = -48*w**3 + 22*w**2 + 380*w - 326. Let t(a) = 5*l(a) + 14*r(a). Factor t(z).
-2*(z - 11)*(z - 1)*(z + 6)
Let s(q) be the third derivative of q**5/25 - 893*q**4/60 - 149*q**3/15 - 2593*q**2 - 2. Let s(o) = 0. What is o?
-1/6, 149
Let f(q) be the second derivative of q**4/12 + 38*q**3/3 - 78*q**2 - 2*q - 10. Factor f(d).
(d - 2)*(d + 78)
Suppose 3*a - 2 = 5*v + 24, 0 = 5*v + 20. Factor 2*x**2 + a*x**3 + 2630*x - 2630*x.
2*x**2*(x + 1)
Factor -50*j - 5/3*j**2 - 145/3.
-5*(j + 1)*(j + 29)/3
Let m be 41/(-410)*(-210)/28. Factor 12*d**3 + 189/4*d**2 - 48 - 12*d + m*d**4.
3*(d - 1)*(d + 1)*(d + 8)**2/4
Let r(z) be the first derivative of z**6/6 - 18*z**5/5 + 97*z**4/4 - 48*z**3 + 32*z**2 + 598. Factor r(v).
v*(v - 8)**2*(v - 1)**2
Let c(x) be the first derivative of 5*x**4/12 - 275*x**3/3 + 15125*x**2/2 - 7*x - 134. Let w(t) be the first derivative of c(t). Factor w(j).
5*(j - 55)**2
Let 1263/7 - 180*f - 3/7*f**2 = 0. What is f?
-421, 1
Let n(x) be the second derivative of -x**5/570 + x**4/57 - x**3/19 - 9*x**2 + 21*x + 1. Let f(u) be the first derivative of n(u). Factor f(h).
-2*(h - 3)*(h - 1)/19
Let y(m) be the third derivative of -m**5/15 - 11*m**4/6 - 12*m**3 + m**2 - 28. Factor y(i).
-4*(i + 2)*(i + 9)
Let q(d) = 14*d**2 + 613*d - 3272. Let j(n) = -5*n**2 - 204*n + 1093. Let b(k) = 11*j(k) + 4*q(k). Let b(i) = 0. What is i?
-213, 5
Let q = 211/48 - 881/528. What is b in 2/11*b**3 + q*b**2 + 250/11 + 150/11*b = 0?
-5
Factor -3*s**4 + 520*s**2 + 14*s**3 - 36 + 19*s**3 - 33*s - 481*s**2.
-3*(s - 12)*(s - 1)*(s + 1)**2
Let t(c) be the second derivative of 0*c**2 - 49*c - 1/54*c**4 + 0 - 10/27*c**3. Suppose t(y) = 0. Calculate y.
-10, 0
What is f in 74/3*f - 40/3*f**2 + 4 = 0?
-3/20, 2
Let j = -570924/5 - -114186. Let 0 + 2/5*c**3 + 0*c - j*c**2 = 0. Calculate c.
0, 3
Let y(v) be the second derivative of 1/11*v**2 - 7/11*v**3 + 0 - 155*v + 20/11*v**4 - 10/11*v**5. Factor y(g).
-2*(g - 1)*(10*g - 1)**2/11
Let m(s) = s**3 + 11*s**2 + 6*s + 8. Let w be m(-10). Let j = w + -45. Factor -j + 8*c + 2 + 4*c**2 + 5.
4*(c + 1)**2
Let i(p) be the first derivative of 0*p**5 + 0*p**3 + 0*p - 113 - 2/9*p**6 - 2/3*p**2 + 2/3*p**4. What is q in i(q) = 0?
-1, 0, 1
Find g, given that -84/11*g - 160/11 - 2/11*g**2 = 0.
-40, -2
Let q(s) = 2*s**3 + 11*s**2 - 96*s - 523. Let f be q(-7). Let -1/10*j**f + 13/5*j - 169/10 = 0. Calculate j.
13
Let c = 712 - 659. Find u, given that -6 + 52*u**3 + 1 + 5*u - 4*u + 5*u**2 - c*u**3 = 0.
-1, 1, 5
Let w be (-30 + 18)/(-1 - 1). Suppose -7 = -w*v + 5. Factor -i**2 + 8*i**2 + 2*i**3 - 2*i**4 + 8 + 22*i + 11*i**v.
-2*(i - 4)*(i + 1)**3
Let v = -14/11813 - -756130/82691. Solve v*u**3 + 224 + 2/7*u**4 + 624/7*u**2 + 256*u = 0 for u.
-14, -2
Let x be ((-4)/22)/(0 - 70/20). Let j = 328/385 - x. Factor 0*r + 2/5*r**4 + j*r**2 + 0 - 6/5*r**3.
2*r**2*(r - 2)*(r - 1)/5
Let j(o) be the second derivative of 2*o**7/105 + 7*o**6/75 + 4*o**5/25 + o**4/15 - 2*o**3/15 - o**2/5 + 21*o - 19. Factor j(z).
2*(z + 1)**4*(2*z - 1)/5
Let f be ((24/14)/6)/(7/98). Let h(y) be the second derivative of 18*y + 1/15*y**3 + 1/60*y**f + 0*y**2 + 0. Factor h(x).
x*(x + 2)/5
Let a(w) = 4*w + 124. Let j be a(-30). Let -77*l**3 + 89*l**3 - j*l**5 - 2*l**5 - 10*l**4 + 4*l**5 = 0. Calculate l.
-6, 0, 1
Factor -365/4*r - 345 - 5/4*r**2.
-5*(r + 4)*(r + 69)/4
Let o(x) = 131*x + 139. Let k be o(-5). Let z = 516 + k. Factor -2/11*p**3 - 4/11 + 6/11*p + z*p**2.
-2*(p - 1)**2*(p + 2)/11
Suppose -4*p**4 - 8*p + 3*p**3 + 11170 + 3*p**4 - 11170 + 6*p**2 = 0. Calculate p.
-2, 0, 1, 4
Solve -45 + 39*v**2 + 12*v - 34*v**2 - 3 - 77*v**2 - 3*v**4 + 24*v**3 + 84*v = 0.
2
Let p(z) be the second derivative of 1/12*z**4 - 1/30*z**6 + 0*z**3 + 38 + 0*z**2 - z + 1/40*z**5 - 1/84*z**7. Determine k, given that p(k) = 0.
-2, -1, 0, 1
Let l(c) = -2*c**2 + 16*c + 10. Let z be l(7). Let d be (22 - z)/(0 + -3). Suppose -d*w**2 - 2*w - 4/3 = 0. What is w?
-2, -1
Suppose -328/9*c - 64/3 - 8/9*c**3 - 34/3*c**2 = 0. Calculate c.
-8, -4, -3/4
Let q(t) be the second derivative of 3*t**5/100 + 7*t**4/4 - 1062*t. Factor q(p).
3*p**2*(p + 35)/5
Let c(q) be the first derivative of -2*q**3/3 + 457*q**2 - 912*q - 3985. Determine g so that c(g) = 0.
1, 456
Let q be (15/10)/((-15)/(-20)). Factor 205*g**2 - 200*g**q + 33*g + 83*g + 14*g + 845.
5*(g + 13)**2
Let k(b) be the second derivative of b**6/20 + 9*b**5/40 - 3*b**4 + 7*b**3 - 889*b. Factor k(s).
3*s*(s - 2)**2*(s + 7)/2
Factor 51 - 71*v**2 - 163*v + 70*v**2 - 51 + 66*v.
-v*(v + 97)
Suppose 0 = -p - 0*z - 4*z + 24, 25 = 5*z. Let f = 1492 + -10438/7. Determine k so that -f*k + 8/7*k**3 + 4/7*k**2 + 0*k**p - 4/7 - 2/7*k**5 = 0.
-1, 1, 2
Let n be (-84 + 82)*((-39)/(-6) + 1)/(-12). Find a, given that n*a + 1/4*a**4 - 3/4*a**2 - 1/2 - 1/4*a**3 = 0.
-2, 1
Let w(v) = v + 1. Let f(m) = 391*m - 393*m + 1 + 3*m**2 - 5. Let h(o) = f(o) + 4*w(o). Let b(g) = 2*g**2 + g. Let c(r) = -5*b(r) + 3*h(r). Factor c(n).
-n*(n - 1)
Let r(y) = -y**2 + 11*y + 24. Let v be r(10). Suppose -44*k = -v*k - 20. Determine j so that -3/5 - 31/10*j - 37/10*j**k + 7/10*j**4 - 1/2*j**3 = 0.
-1, -2/7, 3
Let j = -13559 - -13563. Let r be (4/5)/(1/10). Factor r + 8 - 70*g + j*g**2 + 8 + 42*g.
4*(g - 6)*(g - 1)
Let k = -69149/4 - -17288. Determine r so that k*r**3 - 3/4*r**2 - 27/4*r + 27/4 = 0.
-3, 1, 3
Let 23/4*k - 1/8*k**2 + 39 = 0. Calculate k.
-6, 52
Let l be 281/9 + (-4)/18. Let p = -27 + l. Factor 18*f**p + 4 + 4 - f**3 - 22*f**4 - 4*f**2 + 13*f**3 - 12*f.
-4*(f - 2)*(f - 1)**2*(f + 1)
Determine l so that -16/9*l**2 + 2/9*l**4 + 0 + 4/9*l**3 + 0*l = 0.
-4, 0, 2
Let n(h) be the second derivative of -3*h - 1/12*h**3 + 1/24*h**4 - 