that 99/4*f + 1/4*f**3 + 21/4*f**2 - 121/4 = 0.
-11, 1
Suppose -45*l = -292 + 202. Factor 2/7*g**3 - 8/7 + 2/7*g**l - 8/7*g.
2*(g - 2)*(g + 1)*(g + 2)/7
Let h(t) be the first derivative of -t**8/840 - t**7/420 + t**6/180 + t**5/60 + 4*t**3/3 - 15. Let q(i) be the third derivative of h(i). What is o in q(o) = 0?
-1, 0, 1
Let f(z) be the second derivative of z**6/30 + 2*z**5/5 + 5*z**4/4 - 2*z**3/3 - 10*z**2 + 303*z. Factor f(a).
(a - 1)*(a + 2)**2*(a + 5)
Let v(f) be the third derivative of f**7/560 - 3*f**5/80 - f**4/8 + 7*f**3/6 - 9*f**2. Let o(t) be the first derivative of v(t). Find n such that o(n) = 0.
-1, 2
Let g(u) be the first derivative of -1/6*u**4 - 1/30*u**5 + 3 + 0*u - 5/2*u**2 + 0*u**3. Let w(i) be the second derivative of g(i). Factor w(x).
-2*x*(x + 2)
Let n(a) be the first derivative of 14*a**6/9 - 8*a**5 - 23*a**4 - 80*a**3/9 + 8*a**2 + 66. Suppose n(s) = 0. What is s?
-1, 0, 2/7, 6
Let k = 17/171 - -2/171. Let q(a) be the second derivative of -1/6*a**4 - 5*a - k*a**3 + 0 + 0*a**2 - 1/45*a**6 - 1/10*a**5. Let q(p) = 0. Calculate p.
-1, 0
Suppose 232*l - 186*l = 0. Factor -1/6 + l*x + 1/2*x**2 + 1/3*x**3.
(x + 1)**2*(2*x - 1)/6
Let z(c) = c**3 - 12*c**2 + 2*c - 15. Let q be z(12). Factor 3*p**4 - q*p**2 + 3 + 6*p - 1 - 2.
3*p*(p - 1)**2*(p + 2)
Let i(q) be the first derivative of 0*q**2 - 1/4*q**4 + 11 + 0*q - 1/3*q**3. Determine k so that i(k) = 0.
-1, 0
Let d(k) = 86*k**3 + k**2 + 2*k - 3. Let p be d(1). Let q = p - 84. Determine w so that 1/3*w**q + 0 - w**4 + 2/3*w - 4/3*w**3 = 0.
-1, 0, 2/3
Let n(k) be the second derivative of -k**7/84 + k**5/10 - k**4/12 - k**3/4 + k**2/2 - 4*k + 3. Factor n(q).
-(q - 1)**3*(q + 1)*(q + 2)/2
Let s(y) be the second derivative of y**5/20 - 5*y**4/12 + y**3/6 - y**2/2 + 3*y. Let l be s(5). Factor 5*b**l - 5*b**2 + 2*b + b**3 - 66 + 66 - 3*b**3.
b*(b - 1)*(b + 1)*(5*b - 2)
Let w = -4090 - -4090. Solve w - 5/2*i - 5/2*i**2 = 0.
-1, 0
Let n = -142 - -146. Let w(v) be the first derivative of -2/55*v**5 + 2/33*v**3 + n + 0*v - 1/22*v**4 + 1/11*v**2. Let w(q) = 0. What is q?
-1, 0, 1
Suppose 0 = 311*c + 23 - 23. Solve c*o + 0 - 1/5*o**3 + 8/5*o**2 = 0.
0, 8
Let r be (33/(-990))/(3/(-4)). Let w(c) be the third derivative of r*c**5 + 0*c + 1/72*c**6 + 0*c**3 + 1/18*c**4 - 2*c**2 + 1/630*c**7 + 0. Factor w(b).
b*(b + 1)*(b + 2)**2/3
Let j be (-94)/(-4) - 2/(-4). Suppose 2*t + 6*n - 2*n - 20 = 0, 0 = -2*t - 5*n + j. Factor t*k**4 - 3*k**4 - k**4 + 12*k**3 + 6*k**4.
4*k**3*(k + 3)
Let f(p) be the third derivative of 11*p**2 + 0*p**3 - 1/90*p**5 + 0*p**4 - 1/180*p**6 + 0 + 1/315*p**7 + 0*p + 1/504*p**8. Factor f(i).
2*i**2*(i - 1)*(i + 1)**2/3
Factor -16/3*p - 1/3*p**2 - 13.
-(p + 3)*(p + 13)/3
Let i(a) be the second derivative of 1/36*a**4 + 11*a + a**2 + 5/18*a**3 + 0. Determine k, given that i(k) = 0.
-3, -2
Let j(d) = 2*d**5 + 36*d**4 + 247*d**3 + 920*d**2 + 1643*d + 1152. Let v(l) = l**3 - l. Suppose 0 = 4*g - 79 - 9. Let u(b) = g*v(b) + 2*j(b). Factor u(t).
4*(t + 3)**2*(t + 4)**3
Let g(q) = 5 - 62*q**2 + 63*q**2 + 7*q - 19*q. Let y be g(12). Factor -22*w**2 - 2*w**3 - 2*w**y + 7*w - 8 + 14*w + 4*w**3 + 6*w**4 + 3*w.
-2*(w - 2)*(w - 1)**3*(w + 2)
Suppose 42*n = 14*n - 25*n. Suppose -1/3*j**3 - 1/3*j**4 + 0 + 0*j**2 + n*j = 0. What is j?
-1, 0
Let k = 447 - 3117/7. Factor -k*u - 2/7*u**2 + 0.
-2*u*(u + 6)/7
Suppose -7*u = -11*u + 8. Let i(f) = 4*f**2 - 6*f - 2. Let a be i(u). Determine n so that -4/11*n**a - 6/11*n**3 + 0*n + 0 + 2/11*n**5 + 0*n**4 = 0.
-1, 0, 2
Let h(r) be the first derivative of -1/2*r**2 - 4 - 1/12*r**4 - 1/3*r**3 + 4*r. Let u(b) be the first derivative of h(b). Factor u(p).
-(p + 1)**2
Let c be (-39)/(-65)*(-3)/(-108). Let r(m) be the third derivative of 0 + 1/12*m**4 + c*m**5 + 0*m + 0*m**3 - 2*m**2. Find l such that r(l) = 0.
-2, 0
Let f(r) = r**4 + 8*r**3 + 11*r**2 - 10*r - 4. Let g(l) = 6*l**4 + 42*l**3 + 57*l**2 - 50*l - 22. Let m(d) = -11*f(d) + 2*g(d). Solve m(q) = 0.
-2, 0, 1, 5
Let f be (-22)/33 - -1*(-55)/3. Let o = 22 + f. Factor 2/5*l + l**2 - 7/5*l**o + 0.
-l*(l - 1)*(7*l + 2)/5
Let y(d) be the second derivative of 1/21*d**3 + 1/210*d**5 + 7/2*d**2 - d + 0 + 1/42*d**4. Let m(l) be the first derivative of y(l). Find h such that m(h) = 0.
-1
Suppose -5*a - 4*h = -54, a = 3*h - h + 8. Let i be 5/a*10*5. Factor i*p - 101*p**2 - 4*p**3 - 15 + 96*p**2 - p**3.
-5*(p - 1)**2*(p + 3)
Let y(t) be the third derivative of t**8/28 - t**7/10 + t**6/20 + t**5/20 + 12*t**2 + 4*t. Suppose y(i) = 0. Calculate i.
-1/4, 0, 1
Solve 36*b**4 - 96*b - 40*b**3 - 16 - 212*b**2 + 1018*b**5 - 1002*b**5 + 72*b**2 = 0 for b.
-2, -1, -1/4, 2
Let v = -83203/21 - -3963. Let n = v - 2/7. Find q such that 2/3*q**3 - 2/3*q**5 - 2/3*q**4 + 0*q + n*q**2 + 0 = 0.
-1, 0, 1
Let z(a) be the first derivative of a**7/3780 + a**6/324 + 2*a**5/135 + a**4/27 + a**3/3 + 2. Let d(u) be the third derivative of z(u). Factor d(n).
2*(n + 1)*(n + 2)**2/9
Factor -1/4*a**4 + 0 - 4*a**3 + 0*a - 16*a**2.
-a**2*(a + 8)**2/4
Let k = -71 - -67. Let s be 3 + 5*k/12. Factor 0 + 4/3*z**3 - s*z - 4/3*z**2 + 4/3*z**4.
4*z*(z - 1)*(z + 1)**2/3
Suppose -s - 4*r = -5*r - 8, 8 = -2*s - 4*r. Suppose 2*w = -2*n, -w - 8 = s*n + n. Suppose -6*j**2 - j**3 + 4*j**3 - 2*j**2 + 3*j + w*j**2 = 0. Calculate j.
0, 1
Let a(h) = 4*h**5 + 2*h**4 + 18*h**3 + 21*h**2 + 3*h. Let j(t) = -11*t**5 - 8*t**4 - 55*t**3 - 62*t**2 - 8*t. Let z(g) = 8*a(g) + 3*j(g). Factor z(o).
-o**2*(o + 2)*(o + 3)**2
Let k(y) be the first derivative of -y**3/3 + y**2/2 + 6*y + 188. Factor k(h).
-(h - 3)*(h + 2)
Let j(q) = 5*q**2 + 4*q - 9. Let c(b) = 5*b + 45*b**2 - 6 - 20*b**2 - 3 - 19*b**2. Let a(o) = -4*c(o) + 5*j(o). Solve a(h) = 0.
-3, 3
Let u(n) = n**2 - 53*n. Let r(p) = 3*p**2 - 210*p. Let c(b) = 2*r(b) - 9*u(b). Let c(s) = 0. What is s?
0, 19
Suppose 5*g - 7 = 8. Let -76*s**g + 71*s**3 + 10*s**2 + 5*s - 12*s**4 + 2*s**4 = 0. What is s?
-1, -1/2, 0, 1
Let n be (10/(-4))/((-4)/(-56)*7). Let f be (n + (-84)/(-18))/(-1). Factor 1/3*y**4 + 1/3*y + 0 - f*y**2 - 1/3*y**3.
y*(y - 1)**2*(y + 1)/3
Let g = 3 - 1. Suppose x = g*x - 3. Suppose -6 + 3*r**x + 2 - r**3 - 6*r = 0. Calculate r.
-1, 2
Let i = -19120/7 - -2732. Let s(k) be the first derivative of -2/7*k + 4/7*k**2 + 2/7*k**4 - 2/35*k**5 - i*k**3 + 11. Determine f, given that s(f) = 0.
1
Let c = 86 - 42. Let g = c + -131/3. Factor 1/3 - g*t**2 + 0*t.
-(t - 1)*(t + 1)/3
Let m be 0 + 8/(-16)*-6 + -1. Find j such that -j**3 + 0 - 1/3*j**m + 0*j = 0.
-1/3, 0
Suppose 19*l = 14*l + 220. Suppose -18*s + l = -7*s. Let 6/7*i**2 - 2/7*i**s + 4/7*i + 0*i**3 + 0 = 0. Calculate i.
-1, 0, 2
Factor 555 - 70*v + v**2 - 154 + 816 + 272 - 264.
(v - 35)**2
Suppose -55 - 807*c - 3*c**3 + 50*c**2 - 176*c**2 - 516*c + 55 = 0. What is c?
-21, 0
Let j = 542/3497 - 4/3497. Factor j*z - 4/13*z**2 + 4/13 - 2/13*z**3.
-2*(z - 1)*(z + 1)*(z + 2)/13
Determine r so that 768 + 4/3*r**2 - 64*r = 0.
24
Let h(s) be the third derivative of -1/112*s**8 + 0*s - 1/4*s**3 + 0 + 1/70*s**7 + 11/160*s**6 - 1/40*s**5 + 10*s**2 - 7/32*s**4. Let h(c) = 0. What is c?
-1, -1/2, 1, 2
Let g(l) = 10*l**2 - 120*l - 253. Let n(v) = -5*v**2 + 60*v + 128. Let q(s) = 4*g(s) + 9*n(s). Suppose q(c) = 0. What is c?
-2, 14
Let j(z) = -5*z**2 - 7*z + 3. Let b(p) = p**2 + 2*p - 1. Let s = 0 + -18. Let d be (-184)/48 + (-2)/12. Let c(y) = d*j(y) + s*b(y). Factor c(q).
2*(q - 3)*(q - 1)
Let a = 36997 - 147955/4. Factor -5/2 + 27/4*l**2 + l**3 + a*l.
(l + 2)*(l + 5)*(4*l - 1)/4
Let z(y) be the third derivative of y**7/1260 - y**6/720 - y**5/90 + y**4/36 - 3*y**2. Factor z(r).
r*(r - 2)*(r - 1)*(r + 2)/6
Let u(y) be the third derivative of -4/21*y**4 + 0 - 1/105*y**5 - 9*y**2 + 1/70*y**6 + 0*y - 8/21*y**3. Factor u(k).
4*(k - 2)*(k + 1)*(3*k + 2)/7
Let x(u) be the third derivative of -u**5/12 + 755*u**4/12 - 114005*u**3/6 + 4*u**2 + 48*u. Determine g so that x(g) = 0.
151
Let y(t) be the first derivative of -t**4/84 + t**2/14 + 15*t + 10. Let a(s) be the first derivative of y(s). Factor a(z).
-(z - 1)*(z + 1)/7
Let j be 3 - (-2)/(1 + -3). Suppose 8*c + j*c**2 + 0*c**2 + 2*c + 8 + 0*c**2 = 0. What is c?
-4, -1
Let s(f) be the third derivative of -f**5/420 + f**4/84 + f**3/14 - f**2 - 4. Factor s(u).
-(u - 3)*(u + 1)/7
Factor -15/4 + 5*s**2 - 55/4*s.
5*(s - 3)*(4*s + 1)/4
Let y(