)**2/4
Let r(f) be the first derivative of -3*f**5/20 - f**4/2 + 8*f + 16. Let k(l) be the first derivative of r(l). Factor k(d).
-3*d**2*(d + 2)
Let l(a) be the third derivative of a**6/420 + 2*a**5/35 - a**4/84 - 4*a**3/7 + a**2 + 119*a. Factor l(f).
2*(f - 1)*(f + 1)*(f + 12)/7
Let v(u) = -2*u**2 - 22*u + 9. Let y be v(-10). Let n = y - 115/4. Suppose -5/2*g**3 - 5/4*g - n*g**5 + 5/2*g**2 + 1/4 + 5/4*g**4 = 0. Calculate g.
1
Suppose -15 = -5*o - 0*o. Let a(b) = -b**2 + 2*b + 2. Let g be a(0). Solve -5*i**3 + 2*i**2 - g*i**2 + 6*i**o - 3*i**2 = 0.
0, 3
Let j(f) = -16*f**2 + 120*f + 118. Let x(u) = -34*u**2 + 240*u + 235. Let a(h) = 13*j(h) - 6*x(h). Factor a(k).
-4*(k - 31)*(k + 1)
Solve 9352*s - 5*s**5 - s**4 + 11*s**4 - 9352*s = 0.
0, 2
Let z(u) be the second derivative of -u**9/3024 - u**8/1344 + u**7/252 + u**4/4 - 10*u. Let l(k) be the third derivative of z(k). Factor l(g).
-5*g**2*(g - 1)*(g + 2)
What is l in -42*l**2 - 152/11 + 158/11*l**3 + 458/11*l - 2/11*l**4 = 0?
1, 76
Let k(q) be the first derivative of -3*q**4/4 - 22*q**3 - 363*q**2/2 + 856. Let k(b) = 0. Calculate b.
-11, 0
Let t(o) be the first derivative of 0*o + 1/21*o**3 - 2/7*o**2 + 14. Let t(d) = 0. Calculate d.
0, 4
Let x = 216 + -211. Let o(y) be the first derivative of x + 1/6*y**3 + 2*y - y**2. Factor o(m).
(m - 2)**2/2
Let k be 5431/(19 + 0 + (-10)/(-10)). Let f = -1043/4 + k. Find u, given that -12/5*u**3 - 1/5*u**4 - f*u**2 - 81/5 - 108/5*u = 0.
-3
Suppose 2*m - 38 = -28. Let z(c) = c**2 - c. Let l(b) = -5*b**2 + 4*b. Let h(x) = m*l(x) + 20*z(x). Determine g so that h(g) = 0.
0
Suppose -5*s + 3 = -7. Suppose s*n - n = -1, -18 = -5*w - 2*n. Factor -w*y + 4*y - 12*y - 36*y**2 - 8*y**3 - 7*y**3.
-3*y*(y + 2)*(5*y + 2)
Suppose -63*z - 59*z = -119*z. Let p(i) be the first derivative of 1/8*i**4 + 0*i**2 + z*i - 8 - 3/40*i**5 - 1/24*i**3. Find t, given that p(t) = 0.
0, 1/3, 1
Let u(x) be the first derivative of x**6/3 - 8*x**5/5 + x**4/2 + 4*x**3 - 1035. Factor u(k).
2*k**2*(k - 3)*(k - 2)*(k + 1)
Find w such that -w + 2/7*w**4 + 3/7*w**2 + w**3 - 5/7 = 0.
-5/2, -1, 1
Let p(x) be the third derivative of 2/45*x**5 + 0*x**4 + 0 + 0*x**3 + 0*x + 1/90*x**6 + 22*x**2. Factor p(o).
4*o**2*(o + 2)/3
Let d be (((-15)/15)/(3/(-3)))/90. Let h(i) be the second derivative of 0 + 2*i + d*i**5 + 1/27*i**3 - 1/27*i**4 + 0*i**2. Factor h(j).
2*j*(j - 1)**2/9
Let o(b) be the first derivative of -1/15*b**6 + 0*b**4 + 4*b + 0*b**2 + 0*b**3 + 1/5*b**5 - 4. Let t(a) be the first derivative of o(a). Factor t(f).
-2*f**3*(f - 2)
Let n be -3 - (-9)/(-2)*2/(-3). Find k such that 0 + 9*k**2 + n + 10*k**3 - 5*k - 4*k**2 = 0.
-1, 0, 1/2
Suppose 5*k = -l + 56, -k + 5*l = k - 44. Find t, given that 92*t**3 + k*t**5 + 16*t + 67*t**2 - 10*t**2 + 5*t**2 + 56*t**4 + 2*t**2 = 0.
-2, -1, -2/3, 0
Let 15*i**5 + 75*i - 5*i**2 + 5*i**4 + 0*i**5 - 25*i**3 - 65*i = 0. Calculate i.
-1, 0, 2/3, 1
Suppose -22 = 14*n - 64. Let q(d) be the second derivative of -1/18*d**4 + 0 + 2/9*d**n + d - 1/3*d**2. Let q(j) = 0. Calculate j.
1
What is y in -32*y**2 - 1559 - 1535 - 76*y + 4*y**3 + 3054 = 0?
-1, 10
Let m(g) be the first derivative of -g**4/12 - 218*g**3/9 - 11881*g**2/6 + 33. Factor m(l).
-l*(l + 109)**2/3
Let h be (742/265)/((-14)/(-60)). Let w(d) be the second derivative of 0 + 375/2*d**2 + 3/20*d**5 + 75/2*d**3 + 15/4*d**4 + h*d. Let w(c) = 0. What is c?
-5
Let h be (35/(-8120)*-58)/(1/(316/6)). Determine s so that -h*s**3 + 4/3 - 7/6*s**5 - 29/3*s**2 - 2/3*s - 20/3*s**4 = 0.
-2, -1, 2/7
Let c(i) be the second derivative of -i**7/84 - 11*i**6/60 - 31*i**5/40 - 17*i**4/24 + 8*i**3/3 + 7*i**2 - 514*i. Solve c(k) = 0 for k.
-7, -2, -1, 1
Factor -5*g**3 - 10*g**2 + 5*g**4 - 6*g**4 + 6*g**4.
5*g**2*(g - 2)*(g + 1)
Let t(n) be the second derivative of -n**6/50 + n**4/4 - 6*n**2/5 + 2*n + 9. Determine w so that t(w) = 0.
-2, -1, 1, 2
Find r such that 1/3*r**2 + 4624/3 - 136/3*r = 0.
68
Let b(t) be the third derivative of t**7/350 - 141*t**6/50 + 59643*t**5/50 - 2803221*t**4/10 + 395254161*t**3/10 + 57*t**2 + t. Factor b(s).
3*(s - 141)**4/5
Let q = -26 - -29. Factor -3*s + 3*s**3 + 2*s**2 + 4*s**2 - 3*s**3 - q*s**3.
-3*s*(s - 1)**2
Let g = 10/49 + 225/98. Let k(i) be the first derivative of 1/6*i**6 + g*i**2 - 10/3*i**3 + 5/2*i**4 - 3 - i**5 - i. Solve k(w) = 0.
1
Let v(i) be the third derivative of 243*i**6/20 + 81*i**5/10 + 9*i**4/4 + i**3/3 - 656*i**2. Factor v(t).
2*(9*t + 1)**3
Let g be ((-10)/12)/((-74)/111) + -1. Factor 5/4*z - g*z**2 + 0.
-z*(z - 5)/4
Let z(d) = d**3 - d**2 - d - 1. Let x(o) = 4*o**3 - 18*o**2 + 46*o - 42. Let v(k) = -x(k) + 10*z(k). Let v(u) = 0. Calculate u.
-4, 2/3, 2
Suppose -7*v + 12*v = 15. Let l be 1 - 0/v - 1. Factor 0*q + 1/3*q**4 + l*q**2 - 1/3*q**3 + 0.
q**3*(q - 1)/3
Let y(i) be the third derivative of i**5/30 + 23*i**4/3 + 2116*i**3/3 - 12*i**2 + 3. Factor y(f).
2*(f + 46)**2
Let i(h) be the second derivative of -h**7/35 - 3*h**6/80 + h**5/40 - 11*h**2/2 + 12*h. Let m(u) be the first derivative of i(u). Suppose m(g) = 0. Calculate g.
-1, 0, 1/4
Let i(c) be the first derivative of -c**6/4 + 23*c**5/5 - 229*c**4/8 + 61*c**3 + 9*c**2 - 108*c - 172. Let i(h) = 0. What is h?
-2/3, 1, 3, 6
Let a = -206 + 408. Let l = a + -202. Factor l + 1/3*o**3 + 1/3*o**2 + 0*o.
o**2*(o + 1)/3
Let s(n) be the third derivative of n**9/1008 + n**8/560 - n**7/70 - n**6/30 - 2*n**3 + 12*n**2. Let a(x) be the first derivative of s(x). Factor a(m).
3*m**2*(m - 2)*(m + 1)*(m + 2)
Let o(n) = 9*n**2 - 13*n. Let d(k) = k - 11. Let r be d(0). Let f(h) = -476*h - 2*h**2 - 3*h**2 + 483*h. Let i(t) = r*f(t) - 6*o(t). Let i(u) = 0. Calculate u.
-1, 0
Let h(q) be the second derivative of 0*q**5 + 0*q**3 + 1/45*q**6 - 1/18*q**4 + 5*q + 0 + 0*q**2. Determine d, given that h(d) = 0.
-1, 0, 1
Suppose 8/3*m**3 + 0*m + 0 + 12*m**4 + 28/3*m**5 + 0*m**2 = 0. Calculate m.
-1, -2/7, 0
Let j = -3013 + 3015. Let x = 79 - 313/4. Factor -x + 1/4*v**j - 1/2*v.
(v - 3)*(v + 1)/4
Let s = 1062/6083 - -4/553. Factor s*x**2 - 6/11*x + 0.
2*x*(x - 3)/11
Let u(s) = 2*s**2 - 3*s. Let b be 1*-1 - (9 + -12). Let v be u(b). Factor 6*p**3 + 3*p**4 - 3*p**5 + 3*p**2 - 9*p**v + 4 - 3*p - 1.
-3*(p - 1)**3*(p + 1)**2
Factor 14*u - 147*u - 12*u**2 - 42*u**2 - 3*u**3 - 110*u.
-3*u*(u + 9)**2
Factor -392*d + 327*d - 415*d - 5*d**2 - 11520.
-5*(d + 48)**2
Let c(g) be the second derivative of g**6/9 + 2*g**5/5 + g**4/2 + 2*g**3/9 - 124*g. Suppose c(t) = 0. Calculate t.
-1, -2/5, 0
Let w be 18/4 - ((-84)/(-210))/(24/(-15)). Factor w*m + m**4 + 3/2 + 5/4*m**2 - 4*m**3.
(m - 3)*(m - 2)*(2*m + 1)**2/4
Let b(r) be the second derivative of -r**6/50 - 3*r**5/100 + 7*r**4/5 + 38*r**3/5 + 72*r**2/5 - 25*r + 8. Solve b(x) = 0 for x.
-4, -2, -1, 6
Let f(k) = -k**5 + k**4 + k**3 - k**2 - k - 1. Let t(y) = 4*y**5 - 3*y**4 - 8*y**3 + y**2 + 4*y + 2. Let b(d) = 2*f(d) + t(d). Factor b(w).
w*(w - 2)*(w + 1)**2*(2*w - 1)
Let z(g) be the first derivative of -3*g**5/5 + 3*g**4/4 + 7*g**3 - 3*g**2/2 - 18*g + 611. Suppose z(h) = 0. What is h?
-2, -1, 1, 3
What is q in -89*q**3 + 3*q + 40*q**3 + 46*q**3 + 3*q**4 - 5*q**2 - 2*q**4 + 4 = 0?
-1, 1, 4
Let f(z) be the third derivative of -z**8/112 - z**7/10 - 3*z**6/8 - 13*z**5/20 - z**4/2 + 121*z**2 + 3. Factor f(d).
-3*d*(d + 1)**3*(d + 4)
Suppose 4*f = -p + 16, -2*f + p + 1 = -1. Let d be ((-4)/6)/(3/(-18)*1). Factor 12*b**4 - 3*b**2 - 4*b**f - 13*b**d + b**3 - b.
-b*(b + 1)**3
Let o(f) = -8*f - 9. Let z be o(-2). Let h = -5 + z. Factor 12/5*g**2 + h*g**3 - 16/5 - 8/5*g + 2/5*g**4.
2*(g - 1)*(g + 2)**3/5
Let g(b) be the third derivative of 0 + 0*b**4 + 2*b**3 + 16*b**2 + 0*b - 1/40*b**6 - 3/20*b**5. Find h, given that g(h) = 0.
-2, 1
Suppose 0 = 2*s - 8, -s = 5*l + 4*s - 55. Factor 3*j**2 + 20*j**4 + 2*j**3 - 20*j**3 + l*j**4 - 12*j**5.
-3*j**2*(j - 1)**2*(4*j - 1)
Let i be -1 + (-68)/(-16) + 3/(-12). What is l in -15*l**2 + 68*l + 81*l + i*l**3 - 137*l = 0?
0, 1, 4
Suppose 5*s + 151 - 11 = 0. Let z be (36/45)/(s/(-10)). Factor 2/7*a**4 - 2/7*a + 0 + 2/7*a**3 - z*a**2.
2*a*(a - 1)*(a + 1)**2/7
Let x be -1 - (17/(-6) + (-45)/(-30)). Let f(z) be the second derivative of z + x*z**3 + 1/3*z**4 - 2*z**2 - 1/10*z**5 + 0. Determine i so that f(i) = 0.
-1, 1, 2
Let j(u) be the third derivative of -u**9/20160 + u**8/4480 - u**6/48