 + 292*y + 20736. Let d(i) = 4*v(i) - 7*w(i). Let d(t) = 0. Calculate t.
-144
Let f(p) be the second derivative of p**4/30 - 424*p**3/5 + 404496*p**2/5 + 2516*p. Solve f(k) = 0.
636
Suppose -35*k - 144 = -39*k. Let u be (-2 + k/15)*(-25)/(-5). Suppose s - 2*s - s**u - s = 0. Calculate s.
-2, 0
Let d(x) be the second derivative of 0 - 23*x + 13/21*x**3 - 12/7*x**2 - 1/42*x**4. Factor d(c).
-2*(c - 12)*(c - 1)/7
Let a(r) = 5*r**2 + 8*r - 10. Let t(c) = c**2 + 2*c - 2. Let u be 0 + -1 + (-11 - (-77)/7). Let q(z) = u*a(z) + 3*t(z). Let q(f) = 0. Calculate f.
-2, 1
Let g(z) = z**2 - z + 1. Let w(l) = -78*l**3 + 517*l**2 - 266*l + 18. Let d(p) = 6*g(p) - w(p). Factor d(i).
(i - 6)*(2*i - 1)*(39*i - 2)
Let c = 5631 + -5631. Let y(v) be the second derivative of 0 + 3/110*v**5 + 0*v**6 - 7*v + 0*v**3 - 1/33*v**4 - 1/231*v**7 + c*v**2. Let y(a) = 0. Calculate a.
-2, 0, 1
Let l(z) = 98*z**3 + 191*z**2 + 106*z + 3. Let c(k) = -684*k**3 - 1329*k**2 - 741*k - 21. Let x(a) = -2*c(a) - 15*l(a). Solve x(p) = 0.
-1, -1/34
Suppose 80*c - 672 = -0*c - 19*c - 125*c. Factor -24/11*p**2 - 90/11*p - 2/11*p**c - 100/11.
-2*(p + 2)*(p + 5)**2/11
Let g(x) = -148*x**2 - 272*x - 9. Let f(z) = -148*z**2 - 278*z - 2. Let c(d) = -3*f(d) + 2*g(d). Determine o, given that c(o) = 0.
-2, 3/74
Solve -266/5*o**2 + 2/5*o**3 - 54 - 538/5*o = 0.
-1, 135
Suppose -4*p + 6 = -2*n, 55 = 2466*p - 2462*p + 5*n. Find a such that -57/7*a**2 + 6*a**3 + 111/7*a**4 - 90/7*a**p + 0 - 6/7*a = 0.
-2/3, -1/10, 0, 1
Let q = 827 + -440. Let n = -239 + q. Factor -n*j**3 + 76*j**3 + 12*j - 4*j**4 + 4*j**2 + 60*j**3.
-4*j*(j - 1)*(j + 1)*(j + 3)
Let n = -8 + 8. Let p be (-48)/78*(-48)/192. Factor 0*c**2 + n + p*c**3 - 2/13*c.
2*c*(c - 1)*(c + 1)/13
Suppose 0 = -6*q + 25 - 7. Suppose -q*k + 6*k - 114 = 3*j, -5*k - j = -202. Factor -f**2 - 3 - 40*f**3 + 7*f**2 - 3*f**4 + k*f**3.
-3*(f - 1)**2*(f + 1)**2
Suppose -55/2*q**2 + 212*q - 310 - 1/2*q**3 = 0. Calculate q.
-62, 2, 5
Let s = -4/99 - 2561/2772. Let p = s + 733/644. Factor -2/23*v**2 - 2/23 + p*v.
-2*(v - 1)**2/23
Let k(q) be the second derivative of 0*q**2 + 4*q + 15/2*q**3 + 1/720*q**6 - 1/60*q**5 + 0*q**4 + 0. Let g(n) be the second derivative of k(n). Factor g(c).
c*(c - 4)/2
Let p(t) = 7*t**2 + 19*t - 20. Let f(j) = -11*j**2 - 39*j + 40. Suppose 8*h - 3*h + 3*s - 37 = 0, -27 = -3*h - 3*s. Let y(v) = h*p(v) + 3*f(v). Factor y(g).
2*(g - 10)*(g - 1)
Suppose 4*r = 4*n + n - 17, 3*n + 2*r - 19 = 0. Find c, given that 43*c**3 + 48*c**3 + c**n - 90*c**3 + 2*c**4 = 0.
-1, 0
Let w(m) = -m**3 + 10*m**2 - 16*m + 8. Let u be w(8). Suppose -9*c + u = -28. What is h in 14*h - 8 + 69*h**3 - 73*h**3 + 2*h**2 - c = 0?
-2, 1, 3/2
Suppose -1/2*v**2 + 1/6*v + 1/3 = 0. What is v?
-2/3, 1
Let f be (12 - 33) + (-1 - 4). Let y = 28 + f. Factor 357*n**3 - 4*n**y - 27*n + 11*n - 355*n**3.
2*n*(n - 4)*(n + 2)
Let a = -574 + 6320/11. Let g = 10546/869 - 930/79. Solve -2/11*z**2 + a - g*z = 0.
-3, 1
Let r = -508128 - -1524406/3. Solve -20/3*j**3 + 92/9*j**2 - 2/9*j**5 + 2*j**4 - r*j + 2 = 0.
1, 3
Let p(d) = 2*d**2 - 43*d - 8. Let l be p(22). Determine i, given that -i**3 + 3*i**2 + 0*i**3 - i + 5*i**2 - l*i = 0.
0, 3, 5
Let q(o) be the second derivative of o**5/4 - 155*o**4/2 + 8170*o**3 - 258860*o**2 + o - 506. Solve q(t) = 0 for t.
14, 86
Let d(z) be the second derivative of 11*z**4/96 + 31*z**3/16 - 13*z**2/2 + 1060*z. Factor d(m).
(m - 1)*(11*m + 104)/8
Determine h so that 3800 - 11092*h + 6846*h**2 - 4104*h + 4538*h**2 + 12*h**3 = 0.
-950, 1/3, 1
Let p(u) be the first derivative of -4*u**6/3 - 6*u**5 + 8*u**4 + 46*u**3 - 18*u**2 - 1514. Suppose p(g) = 0. What is g?
-3, 0, 1/4, 2
Let i(x) be the first derivative of x**6/20 + 3*x**5/8 + 3*x**4/4 + 89*x - 6. Let d(s) be the first derivative of i(s). Suppose d(m) = 0. What is m?
-3, -2, 0
Let l be (-2)/3 - (-7400)/2775. Solve 39/2*z + 15 + 3*z**l - 3/2*z**3 = 0.
-2, -1, 5
Let b(o) be the third derivative of 0 + 41/4*o**4 - 50/3*o**3 + 31*o + 1/6*o**5 - 2*o**2. Factor b(z).
2*(z + 25)*(5*z - 2)
Find m such that 58/5*m - 1/5*m**4 - 58/5*m**3 + 841/5 - 168*m**2 = 0.
-29, -1, 1
Let k(p) be the second derivative of 2*p**6/225 + 7*p**5/10 + 251*p**4/90 + 16*p**3/15 - 20*p**2/3 - 1736*p - 1. Solve k(t) = 0.
-50, -2, -1, 1/2
Let x(u) be the second derivative of 15*u - 1/90*u**5 - 1/540*u**6 + 0*u**4 + 0*u**2 - 5/6*u**3 + 0. Let y(k) be the second derivative of x(k). Factor y(z).
-2*z*(z + 2)/3
Let x(m) be the first derivative of 25921*m**6/240 - 161*m**5/20 + m**4/4 - 64*m**3 - 245. Let z(i) be the third derivative of x(i). Factor z(u).
3*(161*u - 2)**2/2
Let r(s) be the third derivative of s**5/60 + 2*s**4 + 45*s**3/2 + 152*s**2 - 2. Factor r(m).
(m + 3)*(m + 45)
Let v be (-41 + 26)/(-6*(-30)/(-36)). Suppose 0 + 18/19*n**v - 2/19*n**4 - 54/19*n**2 + 54/19*n = 0. What is n?
0, 3
Let g(x) be the third derivative of x**8/1176 - x**7/735 - 3*x**6/140 + 13*x**5/210 + 2*x**4/21 - 4*x**3/7 + 1064*x**2. Find y such that g(y) = 0.
-3, -1, 1, 2
Solve 180*a**3 + 185*a**3 + 808*a**2 + 184*a**3 - 551*a**3 + 1530*a**2 = 0 for a.
0, 1169
Let z(g) be the first derivative of -1/18*g**4 - 4 + 1/270*g**5 + 1/3*g**3 + 3*g**2 + 0*g. Let k(i) be the second derivative of z(i). Solve k(n) = 0 for n.
3
Let w(p) be the first derivative of -p**6/20 + 9*p**5/40 + 15*p**4/8 + 17*p**3/4 + 9*p**2/2 + 23*p - 35. Let g(u) be the first derivative of w(u). Factor g(m).
-3*(m - 6)*(m + 1)**3/2
Suppose 4*m - 3 = 5. Let l(v) = 2*v**3 - 3*v**2 - 2*v + 2. Let r be l(m). Suppose -1870 - 20*u**3 - 80*u**r - 91*u + 26*u + 1855 = 0. Calculate u.
-3, -1/2
Let i(f) be the third derivative of 9*f**7/70 - 13*f**6/40 - 5*f**5/2 + 3*f**4 + 1002*f**2. Suppose i(a) = 0. What is a?
-2, 0, 4/9, 3
Let w(y) = -3*y**4 + 37*y**3 + 58*y**2 + 128*y + 88. Let p(t) = -t**4 + 6*t**3 - t**2 - 2. Let o(j) = -4*p(j) + w(j). Factor o(v).
(v + 2)*(v + 3)*(v + 4)**2
Determine a so that 0 + 14/5*a**5 - 178/5*a**4 + 88/5*a**2 + 256/5*a**3 + 0*a = 0.
-2/7, 0, 2, 11
Let o(r) = -3*r**2 - 2 - r**2 - r**2 + r + 1 + 4*r**2. Let k(i) = 5*i**3 + 6*i**2 - 35*i + 15. Let m(s) = k(s) + 3*o(s). Factor m(v).
(v - 2)*(v + 3)*(5*v - 2)
Let f(q) be the third derivative of 59 + q**2 + 0*q + 67/84*q**4 - 1/420*q**5 - 4489/42*q**3. What is x in f(x) = 0?
67
Let p be ((-2)/3)/((-96)/36). Let i(o) be the second derivative of -17*o + 0*o**2 + 0 + 0*o**4 - 10/3*o**3 + p*o**5. Let i(b) = 0. What is b?
-2, 0, 2
Let i(y) be the third derivative of -y**5/270 - 179*y**4/27 - 128164*y**3/27 + y**2 + 542*y. Solve i(z) = 0.
-358
Let l(h) be the second derivative of -1/30*h**6 - 45*h - 17/15*h**5 - 1/2*h**2 + 54*h**3 + 0 - 21/2*h**4. Let d(c) be the first derivative of l(c). Factor d(n).
-4*(n - 1)*(n + 9)**2
Suppose 0 + 0*s - 38/11*s**3 - 2/11*s**4 - 168/11*s**2 = 0. What is s?
-12, -7, 0
Let j(d) = 2*d**3 - 22*d**2 + 23*d - 13. Let y be j(10). Let -25*i + 5*i**2 - y*i**3 - 12*i**3 + 51*i**3 + 15 - 17*i**3 = 0. Calculate i.
-3, 1
Factor -272/5*s + 552/5 - 2/5*s**2.
-2*(s - 2)*(s + 138)/5
Let z(u) = -30*u**4 + 871*u**3 - 953*u**2 - 7*u + 7. Let k(t) = 21*t**4 - 581*t**3 + 640*t**2 + 5*t - 5. Let c(b) = 7*k(b) + 5*z(b). Find i such that c(i) = 0.
0, 1, 95
Suppose 4*a = 2*c + 4, 0 = 5*c - 4*a - 2. Let v(l) = l**2 + 360*l - 10798. Let r(j) = 15*j**2 + 4680*j - 140373. Let s(u) = c*r(u) - 27*v(u). Factor s(p).
3*(p - 60)**2
Let s be (-154)/((8/20)/((-1)/5)). Find j such that -195*j**3 + 75*j**4 + s*j**2 + 10*j + 44*j**2 - 58*j + 47*j**2 = 0.
0, 4/5, 1
Let f(u) = -u**2 + 17*u - 20. Let t be f(15). Let k be (21/6 + -2)/(3/t). Solve -k*c**2 - 24*c - 36*c + 82 - 262 = 0 for c.
-6
Let p be (11685/2394 - 5) + 1 + (-5)/7. Factor 4*h - p*h**2 - 23/6.
-(h - 23)*(h - 1)/6
Suppose -1499*w + 1498*w + 15 = -2*m, 9 = 3*m. Let a be ((-2)/5)/(1/(-5)). Determine o, given that 24*o**2 - w*o**2 + 4*o + a*o = 0.
-2, 0
Let l(q) be the second derivative of 9 + 1/30*q**6 + 3/80*q**5 + 0*q**2 - 1/12*q**4 + q + 1/168*q**7 - 1/6*q**3. Determine f so that l(f) = 0.
-2, -1, 0, 1
Let x be 11*(-1 + 2)*1. Suppose -9 = h - x. Find o such that -9/2*o - 3/2*o**h - 3 = 0.
-2, -1
Let b be (-2017 - -565)/(1*2 - 1). Let m = b - -1454. Determine k so that -3/7*k**3 - 3/7*k**5 - 9/7*k**4 + 0 + 6/7*k + 9/7*k**m = 0.
-2, -1, 0, 1
Let y(j) be the second derivative of j**