1*g**2 + 78*g - 77. Let f(c) = 4*r(c) + 3*w(c). Let f(z) = 0. What is z?
1, 77
Let n = -14561/9 + 1618. Let b(l) be the third derivative of 1/72*l**4 - 1/180*l**5 + 0*l + 0 + 5*l**2 + n*l**3. Factor b(p).
-(p - 2)*(p + 1)/3
Suppose -28*q**2 + 312*q + 336*q**3 + 338*q**2 + 40 + 261*q**2 + 135*q**2 + 43*q**4 - 141*q**4 = 0. Calculate q.
-1, -2/7, 5
Let r(h) be the third derivative of h**7/630 - h**6/90 + h**5/45 - 37*h**2. Factor r(f).
f**2*(f - 2)**2/3
Suppose -14*k + 1277 + 725 = 0. Suppose -k*i + 145*i = 4. Factor 2/11*l**i + 4/11*l + 2/11.
2*(l + 1)**2/11
Let r(p) = 3*p**2 + 13*p + 16. Let f be r(-2). Let n(x) be the third derivative of 1/15*x**5 - 15*x**2 + 0 + f*x**3 + 2/3*x**4 + 0*x. Find o such that n(o) = 0.
-3, -1
Let i(b) be the first derivative of b**6/4 - 3*b**5/5 - 21*b**4/8 - 2*b**3 - 82. Factor i(r).
3*r**2*(r - 4)*(r + 1)**2/2
Find f, given that 2/3*f**3 + 0*f + 2/3*f**2 + 0 = 0.
-1, 0
Let n = -74 - -79. Let r be 41/5 - (-1 + n). Let -27/5 + 9*t - r*t**2 + 3/5*t**3 = 0. What is t?
1, 3
Let l = 93 + -91. Suppose 0 + 1/4*w**l - 3/4*w = 0. Calculate w.
0, 3
Let a(c) be the second derivative of c**5/5 - 85*c**4/3 + 337*c**3/6 - 42*c**2 - 305*c - 2. Factor a(v).
(v - 84)*(2*v - 1)**2
Let c = -121/222 - -65/74. Factor -1/3*q - 4/3 + 4/3*q**2 + c*q**3.
(q - 1)*(q + 1)*(q + 4)/3
Factor -38/7*q + 0 + 1/7*q**2.
q*(q - 38)/7
Let x(i) be the third derivative of i**6/80 - i**5/40 - i**2 - 17*i. Factor x(b).
3*b**2*(b - 1)/2
Let r be 192/88 - (-2)/(-11) - -5. Suppose -1 = 6*p - r. Factor 2/3*q + 1/3*q**2 - p.
(q - 1)*(q + 3)/3
Let g(q) be the third derivative of -q**8/3780 - q**7/945 - q**6/810 - q**3/6 - 16*q**2. Let n(h) be the first derivative of g(h). Factor n(y).
-4*y**2*(y + 1)**2/9
Let s = 275 + -271. Let q(w) be the second derivative of -1/12*w**s + w + 0 - 2*w**2 + 2/3*w**3. Solve q(f) = 0.
2
Suppose 8 = -a + 5*i, 0 = -a + i + 8. Let -12*s + a*s**2 - 3*s**2 - 4 + 7*s**2 = 0. Calculate s.
-1/4, 1
Let f = -134/101 - -2348/1313. Find t such that f*t - 2/13*t**2 + 8/13 = 0.
-1, 4
Let v be (-8)/49*(-6)/48*28. Suppose -4/7*z + 1/7*z**4 + 3/7*z**2 - v + 4/7*z**3 = 0. Calculate z.
-2, -1, 1
Let v(o) = -20*o**4 + 105*o**3 - 1065*o**2 + 485*o + 14985. Let k(p) = -p**4 - 2*p**3 - p**2 - p - 1. Let h(m) = -15*k(m) + v(m). Factor h(s).
-5*(s - 10)**3*(s + 3)
Let i(o) be the first derivative of -2*o**2 - 12 - 4/3*o**3 + 0*o. Find q such that i(q) = 0.
-1, 0
Let l(y) = y**3 - 2*y**2 - 3*y + 4. Let s be (-35)/(-11) + 18/(-99). Let f be l(s). Factor w**5 + 2 + 2*w**3 - 2*w**f - w**3 - 2.
w**3*(w - 1)**2
Let b(a) be the first derivative of 2*a**5/75 - a**4/30 - 2*a**3/3 - 23*a**2/15 - 4*a/3 + 49. Determine i, given that b(i) = 0.
-2, -1, 5
Let t(g) be the third derivative of 1/12*g**3 - 20*g**2 + 0*g + 0 - 1/240*g**5 - 1/96*g**4. Factor t(o).
-(o - 1)*(o + 2)/4
Let f(t) be the third derivative of t**8/1680 - t**7/630 - t**6/36 - t**5/10 - 23*t**4/24 + 7*t**2. Let s(q) be the second derivative of f(q). Factor s(k).
4*(k - 3)*(k + 1)**2
Let n(p) be the second derivative of p**5/80 + p**4/48 - p**3/24 - p**2/8 + 213*p - 2. Find l such that n(l) = 0.
-1, 1
Let k be -3 - 1*(-52)/16. Suppose 0 = h + t, 0*h - 2*h = -5*t. Solve 0 + 1/2*j**2 - 3/4*j**3 + k*j**4 + h*j = 0.
0, 1, 2
Let l(t) = -2*t**5 + t**4 - 16*t**3 + 11*t**2 - 3*t - 3. Let y(v) = 5*v**5 - 2*v**4 + 34*v**3 - 23*v**2 + 7*v + 7. Let m(d) = 7*l(d) + 3*y(d). Factor m(o).
o**2*(o - 2)*(o - 1)*(o + 4)
Let q(f) = -f**2 + 23*f + 626. Let t be q(-16). Let y(h) be the second derivative of 3/5*h**5 - 11*h + 0*h**t + 0*h**4 + 0*h**3 + 0 - 2/15*h**6. Factor y(d).
-4*d**3*(d - 3)
Let y(d) be the first derivative of 3*d**4 + 4*d**3 - 18 + 2*d**2 + 0*d + 4/5*d**5. Factor y(s).
4*s*(s + 1)**3
Suppose 2*r = -65 + 227. Let h = r - 242/3. Factor 0 - 2/3*d**2 - h*d**3 + 0*d.
-d**2*(d + 2)/3
Let l(t) = 186*t + 21. Let b be l(4). Let f be -3 + ((-2)/3)/((-150)/b). Suppose -2/5*g**3 - f*g**4 + 0*g + 0 + 0*g**2 = 0. Calculate g.
-1, 0
Let w(j) = -j**3 - 18*j**2 + 40*j + 10. Let c be w(-20). Let z be 4/(16/(-10))*(-12)/c. Factor 1/8*v**5 - 5/8*v**4 - 1/8 - 5/4*v**2 + 5/8*v + 5/4*v**z.
(v - 1)**5/8
Factor -2/11*k**2 - 36/11 + 18/11*k.
-2*(k - 6)*(k - 3)/11
Factor 79*f - 245137 + 2*f**3 + 20*f**2 + 0*f**3 - f**3 + 245197.
(f + 1)*(f + 4)*(f + 15)
Suppose 3/4*g**2 - g**3 - 1/4*g**4 + 7/2*g + 2 = 0. Calculate g.
-4, -1, 2
Let h be (-2 - (-54)/12) + 3 - 15/3. What is f in 0*f**2 - h*f**3 + 0*f - 1/6*f**4 + 0 = 0?
-3, 0
Let d(n) = 5*n**2 - 11*n - 12. Let u(x) = -9*x**2 + 19*x + 24. Let z(s) = 5*d(s) + 3*u(s). Factor z(y).
-2*(y - 3)*(y + 2)
Let g(y) be the third derivative of -y**6/360 - y**5/20 - 7*y**4/36 - 3*y**2 - 10. Solve g(m) = 0.
-7, -2, 0
Solve 1052/5*s**2 + 2/5*s**4 + 1344/5*s - 94/5*s**3 - 2304/5 = 0.
-2, 1, 24
Suppose -3*u + 3804 - 3789 = 0. Solve -2/5 + 4/5*k**2 + 4/5*k**u + 16/5*k**3 - 4/5*k + 14/5*k**4 = 0 for k.
-1, 1/2
Let z(h) be the second derivative of 1/10*h**5 - 1/42*h**7 + 21*h + 0*h**2 - 1/6*h**3 + 0*h**4 + 0*h**6 + 0. Factor z(r).
-r*(r - 1)**2*(r + 1)**2
Suppose -79*t + 134 = -24. Solve 8/7 + 0*i - 2/7*i**t = 0 for i.
-2, 2
Let z(r) be the first derivative of r**3/3 + 5*r**2/2 - 66*r + 75. Find i such that z(i) = 0.
-11, 6
Let x be (-6)/(-3) + 0 - 16. Let n = x + 24. Factor 4*j**2 + n*j**4 - 3*j**3 - 4*j**2 - 7*j**4.
3*j**3*(j - 1)
Let j be (-12 - -12)/(45/15). Let m = -451/14 + 65/2. Determine p, given that -2/7*p**5 + 0 + 0*p**2 + j*p + 0*p**4 + m*p**3 = 0.
-1, 0, 1
Let w(m) be the second derivative of -m**7/126 - m**6/15 + 3*m**5/20 + 7*m**4/18 - 7*m - 2. Determine g, given that w(g) = 0.
-7, -1, 0, 2
Let y(h) be the second derivative of h**8/3360 + h**7/315 + h**6/90 - h**4/9 - 5*h**3/3 - 6*h. Let m(j) be the second derivative of y(j). Factor m(l).
(l + 2)**3*(3*l - 2)/6
Suppose 0*g = -2*g + 3*n - 173, 167 = -2*g - 3*n. Let z = g - -89. Suppose -62/3*a**2 - 34/3*a**3 + 21*a**z - 1/3 - 5*a + 49/3*a**5 = 0. Calculate a.
-1, -1/7, 1
Let c = 1006 - 1003. Let h(z) be the first derivative of -8 - 1/2*z**c + 3/16*z**2 + 0*z. Solve h(w) = 0.
0, 1/4
Let l(m) be the third derivative of -m**10/105840 - m**9/23520 + m**8/35280 + m**5/20 + 8*m**2. Let w(a) be the third derivative of l(a). Solve w(g) = 0 for g.
-2, 0, 1/5
Suppose -2*m**2 - 1242*m + m**2 + 8 + 1250*m + 3*m**2 = 0. What is m?
-2
Suppose f - 14 = -n, 5*f - 11 = 9. Let k be (-68)/n + 2 - -5. Factor 2/5*c**4 + k*c**3 + 1/5*c**5 + 0*c**2 + 0 + 0*c.
c**3*(c + 1)**2/5
Let 26/23*a**3 - 36/23*a + 2/23*a**5 - 6/23*a**2 + 0 + 14/23*a**4 = 0. What is a?
-3, -2, 0, 1
Let s(m) be the second derivative of 4/15*m**3 + 0 - 4/5*m**2 + 9*m - 1/30*m**4. Factor s(v).
-2*(v - 2)**2/5
Factor 5*v**4 + 23*v**3 + 20*v + 45*v**2 - 4*v**3 + 11*v**3.
5*v*(v + 1)**2*(v + 4)
Let j = -52 + 55. Let -752 + 10*o**2 - 4*o + 752 + 0*o**3 + 2*o**4 - 8*o**j = 0. What is o?
0, 1, 2
Let k(c) be the third derivative of -c**6/600 - c**5/50 - 11*c**4/120 - c**3/5 - 83*c**2. Let k(f) = 0. What is f?
-3, -2, -1
Let n = -40 + -121. Let d = n - -161. Solve -22/5*u**3 + d - 8/5*u**4 + 4/5*u - 2*u**2 = 0 for u.
-2, -1, 0, 1/4
Let p(l) = 730*l - 4376. Let m be p(6). Solve 0*i**3 - 8/7*i**m + 4/7*i + 0 - 4/7*i**5 + 8/7*i**2 = 0 for i.
-1, 0, 1
Let n(s) be the third derivative of -1/18*s**4 + 0*s**3 + 0*s - 1/90*s**5 - 7*s**2 + 1/315*s**7 + 0 - 1/504*s**8 + 1/60*s**6. Determine c so that n(c) = 0.
-1, 0, 1, 2
Let b(o) = -5*o**3 + 2*o**2 + 5*o - 2. Let d be b(3). Let v = d - -104. Factor v + 1/2*s**3 + 1/4*s**4 + 0*s + 1/4*s**2.
s**2*(s + 1)**2/4
Let n = 227 + 5. Factor 234*b**4 + 2*b**2 + 10*b**2 + 8*b - 10*b**3 - n*b**4 - 16.
2*(b - 2)**3*(b + 1)
Let f(g) be the third derivative of -g**7/1890 + 5*g**6/36 - 125*g**5/9 + 15625*g**4/27 - 482*g**2. Factor f(h).
-h*(h - 50)**3/9
Suppose -105*q = -100*q + 5*n - 45, q - 16 = -2*n. Factor -4/5*i**q + 12/5*i + 0.
-4*i*(i - 3)/5
Suppose 22/9*j**2 + 0 - 14/9*j**3 - 22/9*j**4 + 2/3*j**5 + 8/9*j = 0. Calculate j.
-1, -1/3, 0, 1, 4
Let s be 40/(-8) - (-6 + -1). Let x(j) be the first derivative of -2*j**s + j**4 - 2/3*j**3 + 0*j + 2/5*j**5 - 5. Factor x(m).
2*m*(m - 1)*(m + 1)*(m + 2)
Let v(u) be the second derivative of -2/5*u**6 + 0*u**4 + 0 + 0*u**2 + 1/5*u**5 + 5/42*u**7 - 20*u + 0*u**3. Find m such that v(m) = 0.
0, 2/5, 2
Let p(t) be the second deri