2 + 17*c = 0. Calculate c.
-32, -1, 2
Let o(q) = q**4 + 42*q**3 + 52*q**2 + 9*q - 39. Let g(m) = -2*m**3 - m**2 - m - 1. Let p(n) = 26*g(n) + 2*o(n). Factor p(z).
2*(z - 1)*(z + 2)**2*(z + 13)
Let a(m) be the third derivative of -2*m**6/35 - 47*m**5/210 - 11*m**4/42 + m**3/21 + 328*m**2. What is z in a(z) = 0?
-1, 1/24
Let r(k) be the second derivative of -k**6/120 + k**4/48 + 50*k - 1. Let r(z) = 0. What is z?
-1, 0, 1
Let k(m) be the first derivative of -5*m**3/3 + 25*m**2/2 + 70*m + 54. What is g in k(g) = 0?
-2, 7
Let x(t) be the third derivative of -t**6/40 + t**5 + 21*t**4/8 - 6*t**2 - 11*t. Factor x(j).
-3*j*(j - 21)*(j + 1)
Suppose 513 = -63*j + 1395. Let p(w) be the first derivative of -1/6*w**3 + 3/8*w**4 + 7/40*w**5 + 0*w**2 + 0*w - j. Factor p(q).
q**2*(q + 2)*(7*q - 2)/8
Let t(c) be the first derivative of -4*c**5/5 + 22*c**4 + 208*c**3 + 656*c**2 + 896*c + 32. Solve t(j) = 0.
-2, 28
Let b(g) be the first derivative of -5*g**4/8 + 25*g**3/9 - 5*g**2/4 + 15. Factor b(n).
-5*n*(n - 3)*(3*n - 1)/6
Let g(p) be the first derivative of -p**4/16 - p**3/2 + p**2/8 + 3*p/2 + 130. Factor g(f).
-(f - 1)*(f + 1)*(f + 6)/4
Let t be 0 + 3 - 345/135. Determine u so that 2/9*u - t*u**2 + 0 = 0.
0, 1/2
Let u(z) be the second derivative of -z**7/3780 - z**6/540 + 2*z**4/3 - 12*z. Let p(s) be the third derivative of u(s). Let p(i) = 0. What is i?
-2, 0
Let m = -35 + -164. Let q = -195 - m. Factor -4/15*d**2 - 2/15*d**q - 2/5*d**3 + 0 + 0*d.
-2*d**2*(d + 1)*(d + 2)/15
Let w = -11096/15 + 740. Let b = 30/23 - 404/345. Factor -2/15*f**2 - b*f + w.
-2*(f - 1)*(f + 2)/15
Let d(s) be the first derivative of 8*s**2 - 8 - 4/3*s**3 - 16*s. Factor d(y).
-4*(y - 2)**2
Let x(o) = 2*o**4 + 48*o**3 - 270*o**2 + 595*o - 380. Let g(b) = -9*b**4 - 240*b**3 + 1350*b**2 - 2976*b + 1899. Let k(i) = 5*g(i) + 24*x(i). Factor k(z).
3*(z - 5)**3*(z - 1)
Let a(d) be the first derivative of -d**4/22 + 4*d**3/11 + d**2/11 - 12*d/11 - 153. What is t in a(t) = 0?
-1, 1, 6
Let -11*q**4 - 898*q**3 - 5*q**4 + 0*q**4 + 3*q**5 + 874*q**3 - 5*q**4 = 0. Calculate q.
-1, 0, 8
Let j = -34162 - -239182/7. Factor -36/7*c - j - 6/7*c**2.
-6*(c + 2)*(c + 4)/7
Let i(p) = 8*p**2 + 6*p - 4. Let c(j) be the first derivative of -3*j**3 - 3*j**2 + 3*j + 23. Let q(a) = 5*c(a) + 6*i(a). Factor q(r).
3*(r - 1)*(r + 3)
Let s(o) = -14*o**2 - 4*o + 28. Let l(f) = 14*f**2 + 4*f - 29. Let w(m) = 2*l(m) + 3*s(m). Let d(b) = -5*b**2 - b + 9. Let v(u) = 8*d(u) - 3*w(u). Factor v(j).
2*(j - 1)*(j + 3)
Let j(o) be the first derivative of 50*o**6 - 188*o**5 + 152*o**4 + 96*o**3 - 160*o**2 + 64*o - 701. Determine c so that j(c) = 0.
-2/3, 2/5, 1, 2
Suppose -12*d + 104 + 64 = 0. Find l such that 3*l**2 - d*l**5 - 15*l**4 - 10*l**5 + 26*l**5 - 3*l**3 - 11*l**5 = 0.
-1, 0, 1/3
Let l(i) be the second derivative of -i**6/195 - 3*i**5/130 + 9*i**4/26 + 59*i**3/39 + 30*i**2/13 + 18*i. Determine f so that l(f) = 0.
-6, -1, 5
Let h = 793 - 789. Let k(g) be the first derivative of -h*g + 10*g**2 - 16/3*g**3 + 11. Suppose k(p) = 0. What is p?
1/4, 1
Let j(c) be the second derivative of 0*c**2 - 30*c + 3/40*c**5 + 0 + 0*c**3 + 1/8*c**4. Factor j(k).
3*k**2*(k + 1)/2
Let h(b) be the second derivative of 3*b + 0 - 1/54*b**3 + 0*b**2 + 0*b**4 + 0*b**6 - 1/378*b**7 + 1/90*b**5. Factor h(g).
-g*(g - 1)**2*(g + 1)**2/9
Let s(n) be the third derivative of -n**6/24 + 4*n**5/3 - 385*n**4/24 + 245*n**3/3 + n**2 + 40*n. Factor s(r).
-5*(r - 7)**2*(r - 2)
Let u = -281 - -284. Let x(b) be the second derivative of -u*b + 0 + 1/8*b**4 + 3/4*b**2 + 1/2*b**3. Factor x(s).
3*(s + 1)**2/2
Let c(b) be the third derivative of 0*b - 7*b**2 + 2/105*b**7 + 0*b**3 + 0*b**4 - 7/120*b**6 + 0 - 1/30*b**5. Factor c(x).
x**2*(x - 2)*(4*x + 1)
Let -6*k**3 + 9*k**2 + 24*k - 132/5 - 3/5*k**4 = 0. What is k?
-11, -2, 1, 2
Let x = 6443 - 6441. Factor 0 + 0*k + 0*k**x + 1/4*k**3 + 1/4*k**4.
k**3*(k + 1)/4
Suppose v**3 + 669*v + 649*v + 82*v**2 - 1401*v = 0. Calculate v.
-83, 0, 1
Let y(q) be the third derivative of -q**6/240 - 31*q**5/40 + 8*q**4 - 97*q**3/3 - 736*q**2. Factor y(g).
-(g - 2)**2*(g + 97)/2
Factor -2/7*f - 3/7 + 4/7*f**2 + 2/7*f**3 - 1/7*f**4.
-(f - 3)*(f - 1)*(f + 1)**2/7
Let 114 - 214 + 105 + 3*s + 2*s - 10*s**2 = 0. What is s?
-1/2, 1
Let l(i) be the first derivative of -i**6/90 - i**5/30 + i**4/3 + 4*i**3 - 3. Let f(w) be the third derivative of l(w). Find s, given that f(s) = 0.
-2, 1
Let -1/6*x**5 - 1/3*x**4 + 1 + 19/6*x + 10/3*x**2 + x**3 = 0. Calculate x.
-2, -1, 3
Let g(n) = -n**4 + 2*n + 3. Let o(z) = -z**3 + 3 + 0 - 4. Suppose 0 = t - 63 + 66. Let c(x) = t*g(x) - 6*o(x). Factor c(r).
3*(r - 1)*(r + 1)**3
Let g = -350 - -6646/19. Let q = 66/133 + g. Determine c, given that q - 2/7*c**4 + 4/7*c**3 - 4/7*c + 0*c**2 = 0.
-1, 1
Suppose 140 = 4*q - 5*j, -3*q + 6*q + j - 124 = 0. Let i be ((-4)/30)/((-8)/q). Factor -2/3*z**2 + 0 + i*z.
-2*z*(z - 1)/3
Let m(l) = -9*l - 2. Let i(v) = -2*v**2 - 10*v - 2. Let u(q) = 2*i(q) - 3*m(q). Solve u(h) = 0.
-1/4, 2
Let l = -10217/3 - -3407. Factor -l*c + 2*c**2 + 0.
2*c*(3*c - 2)/3
Suppose 12*k - 5*k = 35. Let p(f) = -f**3 + f**2. Let u(q) = -7*q**3 + 5*q**2 - 9*q - 5. Let o(s) = k*u(s) - 40*p(s). Determine t so that o(t) = 0.
-1, 5
Let x = 641/1286 + 1/643. Suppose 3*p + 3 = 4*p. Factor 0*s**2 - 1 - 3/2*s + x*s**p.
(s - 2)*(s + 1)**2/2
Let s(o) be the second derivative of -o**7/126 + o**6/30 - o**5/60 - o**4/12 + o**3/9 + 98*o. Determine g so that s(g) = 0.
-1, 0, 1, 2
Let l(y) be the first derivative of y**5 - 25*y**4/2 + 15*y**3 - 161. Determine p so that l(p) = 0.
0, 1, 9
Let w(l) be the first derivative of -l**3/15 - 13*l**2/10 - 6*l + 94. Factor w(k).
-(k + 3)*(k + 10)/5
Find z, given that 12*z**2 + 39 - 73 - 36 + 200*z - 120*z**2 - 26 + 4*z**4 = 0.
-6, 1, 4
Let i(v) be the third derivative of -v**6/6 + 5*v**5/4 - 15*v**4/4 + 35*v**3/6 - 2*v**2 - 65*v. Factor i(h).
-5*(h - 1)**2*(4*h - 7)
Let y(j) = 3*j**4 + 1 + j**5 - 4*j**4 + 0. Let z(l) = 4*l**5 + 20*l**4 + 30*l**3 - 6*l**2 - 33*l - 14. Let r(x) = y(x) - z(x). What is n in r(n) = 0?
-5, -1, 1
Let d(h) be the third derivative of -h**8/2240 + h**7/210 + 5*h**4/8 + h**2. Let g(k) be the second derivative of d(k). Let g(p) = 0. Calculate p.
0, 4
Suppose 175*k - 90 + 5/4*k**4 + 65/4*k**3 - 205/2*k**2 = 0. Calculate k.
-18, 1, 2
Let v be (-101)/(-14) + (-48)/(-168). Let w(a) be the first derivative of -3/5*a**5 + 6*a + 3/4*a**4 + 3*a**3 - 5 - v*a**2. Solve w(h) = 0 for h.
-2, 1
Find q, given that -32/9*q - 77/9*q**2 - 49/9*q**3 - 4/9 = 0.
-1, -2/7
Let c(p) be the first derivative of p**3/9 + 5*p**2/6 + 4*p/3 - 328. Factor c(h).
(h + 1)*(h + 4)/3
Suppose -w + 0*w - 1 = 0. Let x be (3 + 6*w)/3 - -1. Factor 0 + x*j - 1/4*j**2.
-j**2/4
Let q be 2/(-20)*-12*-150*(-11)/88. Find h such that -81*h**2 - 177/2*h**3 + 12 - q*h**4 + 18*h = 0.
-2, -1/3, 2/5
Let 0 + 124/5*o**2 + 14/5*o**4 + 438/5*o**3 + 0*o = 0. What is o?
-31, -2/7, 0
Let q = 42633/35 + -1218. Let a(t) be the first derivative of -q*t**5 - 9/7*t**3 + 15/28*t**4 + 3/2*t**2 - 7 - 6/7*t. Find m such that a(m) = 0.
1, 2
Let k(y) be the first derivative of -y**6/1080 + y**5/360 + y**4/36 - 4*y**3 - 1. Let t(q) be the third derivative of k(q). Factor t(c).
-(c - 2)*(c + 1)/3
Suppose -4*q + 2 - 17 = -3*g, 3*q + 3*g + 27 = 0. Let m be 76/16 + 9/(q - -3). Find u, given that -3/4*u**3 - 1/2*u + 0 - m*u**2 = 0.
-2, -1/3, 0
Determine v so that 0*v**2 - 6/5 + 9/5*v - 3/5*v**3 = 0.
-2, 1
Let 2/15*v**2 + 24/5 + 8/5*v = 0. Calculate v.
-6
Let i be 2 + 45/(-25) + 8/20. Let p(l) be the first derivative of 0*l**2 + 0*l**4 + 0*l - l**3 + i*l**5 + 6. Factor p(v).
3*v**2*(v - 1)*(v + 1)
Let b(t) be the second derivative of -t**6/24 + 5*t**4/8 + 5*t**3/3 + 29*t**2/2 - 19*t. Let c(y) be the first derivative of b(y). Let c(d) = 0. Calculate d.
-1, 2
Let b(v) be the third derivative of 1/28*v**4 + 0*v**3 + 0*v + 0 + 11*v**2 + 1/210*v**5. Factor b(p).
2*p*(p + 3)/7
Find g such that 5*g**2 - 2815775 + 220*g + 2815775 = 0.
-44, 0
Solve -24/7 + 2/7*j**2 - 2/7*j = 0.
-3, 4
Suppose 8*u - 11*u = -51. Factor -u*k**2 - 4*k**3 + 0*k**3 - 864 - 55*k**2 - 432*k.
-4*(k + 6)**3
Let a(s) be the third derivative of s**7/945 + s**6/270 - s**5/18 + 2*s**2 - 76*s. Determine l, given that a(l) = 0.
-5, 0, 3
Let z = 25 + -28. Let u be (1