ative of -2/21*p**3 + 0*p - z*p**6 - 3*p**2 + 1/105*p**5 + 0 + 1/84*p**4. Solve f(l) = 0.
-1, 1, 2
Determine y so that 2/5*y**3 + 20*y**2 + 194/5*y + 96/5 = 0.
-48, -1
Let g(y) be the first derivative of 5*y**4/12 - 10*y**3/3 - 30*y**2 + 8*y - 13. Let c(x) be the first derivative of g(x). Determine i, given that c(i) = 0.
-2, 6
Let h = 56 + -6. Suppose 47*g**2 - 99*g**2 - 2*g**3 + h*g**2 + 4*g = 0. What is g?
-2, 0, 1
Let y = -12/3325 + 7992/3325. Factor 9/5*x**2 + y*x - 36/5 - 3/5*x**3.
-3*(x - 3)*(x - 2)*(x + 2)/5
Let g be 2304/(-4992)*(-13)/10. Let 0 + 3*j + g*j**2 = 0. What is j?
-5, 0
Let a(z) = z**2 - 21*z + 92. Let x be a(6). Let d(o) be the second derivative of x*o + 0 - 1/20*o**5 + 0*o**3 + 0*o**2 - 1/12*o**4. Factor d(j).
-j**2*(j + 1)
Let b = -2/775 - -1397/775. Factor 18/5 - b*j**3 + 1/5*j**4 - 39/5*j + 29/5*j**2.
(j - 3)**2*(j - 2)*(j - 1)/5
Let m(t) be the third derivative of t**6/210 - t**5/7 - 11*t**4/14 - 34*t**3/21 - t**2 + 29. Factor m(h).
4*(h - 17)*(h + 1)**2/7
Suppose -6/7*s**3 - 66/7*s + 36/7*s**2 + 36/7 = 0. Calculate s.
1, 2, 3
Let o be 38/(-70) - (-336)/240. Factor o*s - 3/7*s**2 + 0.
-3*s*(s - 2)/7
Let x(i) be the first derivative of -5*i**6/6 + 3*i**5 + 15*i**4/4 - 35*i**3/3 - 15*i**2 - 83. Find n such that x(n) = 0.
-1, 0, 2, 3
Let x(i) = -12*i**4 - 34*i**3 - 20*i**2 - 10*i - 5. Let f(p) = 6*p**4 + 17*p**3 + 10*p**2 + 6*p + 3. Let q(b) = 15*f(b) + 9*x(b). Solve q(n) = 0 for n.
-2, -5/6, 0
Let v be (-2)/16 - -95*(-14)/(-1680). Factor v*d**3 - 16/3 - 4*d**2 + 8*d.
2*(d - 2)**3/3
Suppose 8*i + 325 = 349. Let o(u) be the second derivative of u + 1/16*u**i + 1/96*u**4 + 0*u**2 + 0. Solve o(s) = 0.
-3, 0
What is w in -w + 17*w - 13*w - 5*w**3 + 45*w - 40*w**2 + 12*w + 5*w**4 = 0?
-3, 0, 2
Suppose -4/5*a**4 + 16/5*a**3 + 0 + 8/5*a - 4*a**2 = 0. Calculate a.
0, 1, 2
Solve 99*n + 108 - 96*n**3 - 30*n**4 - 746*n**5 - 78*n**2 + 372*n**5 + 371*n**5 = 0 for n.
-4, -3, -1, 1
Let x(g) be the first derivative of g**6/30 - 3*g**5/20 + g**4/4 - g**3/6 + 7*g + 1. Let y(d) be the first derivative of x(d). Solve y(q) = 0.
0, 1
Let g = -48 + 38. Let j = g - -32/3. Factor -1/3*s + j*s**2 + 0 - 1/3*s**3.
-s*(s - 1)**2/3
Factor 16/15*b**4 + 0*b + 2/15*b**5 - 6/5*b**3 + 0 + 0*b**2.
2*b**3*(b - 1)*(b + 9)/15
Let q = 29 + -24. Factor -s**4 + s**5 + 3*s**2 - q*s**3 - 4*s**4 + 2*s**4 + 4*s**3.
s**2*(s - 3)*(s - 1)*(s + 1)
Suppose -9*q = -4*f - 68 + 8, 0 = 3*q - 3*f - 30. What is a in 4/5*a + 12/5*a**3 + 0 - 4/5*a**q - 12/5*a**2 = 0?
0, 1
Let r = 498 - 182. Factor 784*f**3 - 12 + 80*f - 504*f**2 + 1688*f**4 - r*f**4 + 8.
4*(f + 1)*(7*f - 1)**3
Let i(s) be the first derivative of -17/5*s**5 + 3 + 0*s - 11/3*s**3 + s**2 + 5/6*s**6 + 21/4*s**4. Factor i(w).
w*(w - 1)**3*(5*w - 2)
Let a = -2/59 + 250/413. Solve -4/7*s**2 + a*s + 0 = 0 for s.
0, 1
Let h(r) be the first derivative of -r**7/378 + r**6/135 - r**4/54 + r**3/54 + 12*r + 2. Let p(j) be the first derivative of h(j). Factor p(v).
-v*(v - 1)**3*(v + 1)/9
Let u(j) be the third derivative of 0*j**3 + 0 + 10*j**2 - 3/70*j**7 + 0*j**4 + 0*j - 1/112*j**8 - 1/20*j**5 - 3/40*j**6. Determine w so that u(w) = 0.
-1, 0
Let q be 2 - 8 - (-20)/((-160)/(-72)). Let f(d) be the second derivative of -d**4 + 2/15*d**6 + 4*d**2 - 2/3*d**q + 3*d + 1/5*d**5 + 0. Factor f(r).
4*(r - 1)**2*(r + 1)*(r + 2)
Let a be 164/369*(-6)/(-28). Let l(t) be the second derivative of 1/7*t**2 - a*t**3 + 0 + 1/42*t**4 - 4*t. Suppose l(i) = 0. Calculate i.
1
Let h(v) be the third derivative of v**9/241920 - v**8/80640 + v**5/6 + 7*v**2. Let i(y) be the third derivative of h(y). Factor i(g).
g**2*(g - 1)/4
Let 7*q**4 - 38*q - 18*q**3 - 4*q**4 + 588 - 5*q**4 + 666*q + 54*q**2 + 30*q = 0. What is q?
-7, -1, 6
Let r(u) be the third derivative of -2/3*u**3 + 1/12*u**4 + 0*u - 1/105*u**7 + 1/10*u**5 - 1/60*u**6 - 7*u**2 + 0. Let r(l) = 0. What is l?
-2, -1, 1
Let x = 167 + -162. Let m(w) be the third derivative of 0*w**4 + 0*w - 1/720*w**6 - 1/180*w**x + 0 + 0*w**3 - 5*w**2. What is k in m(k) = 0?
-2, 0
Let f(a) = -a**3 - 6*a**2 - a - 18. Let t(u) = 2*u**3 + 6*u**2 + 19. Let m(l) = 3*f(l) + 4*t(l). Let h(r) be the first derivative of m(r). Factor h(c).
3*(c + 1)*(5*c - 1)
Let f(v) be the third derivative of -v**8/80640 + v**6/720 - 7*v**5/30 - 13*v**2. Let s(r) be the third derivative of f(r). Determine w, given that s(w) = 0.
-2, 2
Let r(i) be the first derivative of i**4 - 68*i**3/3 + 160*i**2 - 256*i - 632. Let r(u) = 0. Calculate u.
1, 8
Let o be ((-84)/35 + 2/1)/(-1). Let a(i) be the first derivative of -i**4 + 0*i + 10 + 0*i**3 + 0*i**2 - o*i**5. Suppose a(m) = 0. Calculate m.
-2, 0
Let j = 347/2 + -2081/12. Let o(m) be the second derivative of 0*m**3 + 0*m**2 + j*m**4 - 1/42*m**7 + 1/10*m**6 + 2*m - 3/20*m**5 + 0. Factor o(s).
-s**2*(s - 1)**3
Let y be (3/(-2))/(3/(-4)). Factor -4 + z**4 + 4 - 4*z**4 - 3*z + 3*z**3 + 3*z**y.
-3*z*(z - 1)**2*(z + 1)
Let g(p) = -61 - 4*p - 47 + 13. Let k be g(-25). Suppose 0 - 37/3*d**4 + 7/3*d**k + 22*d**3 - 44/3*d**2 + 8/3*d = 0. What is d?
0, 2/7, 1, 2
Let f be 4/4*(1 - 5 - -4). Let s(u) be the first derivative of -1/5*u**3 - 5 - 1/5*u**2 - 1/20*u**4 + f*u. Find z, given that s(z) = 0.
-2, -1, 0
Let 22*g**4 - 14*g - 4*g - 34*g**4 + 3*g**5 + 16*g**3 + 12*g**2 - g**5 = 0. What is g?
-1, 0, 1, 3
Let h(k) = -10*k**2 - 12*k - 10. Let l(f) = -f**2 - f - 1. Let y = 28 + -12. Suppose 0 = -d - d + y. Let x(m) = d*l(m) - h(m). Factor x(q).
2*(q + 1)**2
Let w(h) = 1557*h**2 + 269358*h + 15533157. Let g(u) = u**3 + u - 2. Let y(t) = 3*g(t) + w(t). Factor y(l).
3*(l + 173)**3
Let k(d) be the second derivative of 35*d - 2/3*d**4 + 0 + 4*d**2 - 2/3*d**3 + 1/5*d**5. Factor k(x).
4*(x - 2)*(x - 1)*(x + 1)
Let d be (0 + (-7)/6)*36/(-56). Suppose -3/4*v**3 + 0*v + 3/4*v**5 - d*v**2 + 3/4*v**4 + 0 = 0. Calculate v.
-1, 0, 1
Let k be 12/66 + (-10556)/(-22). Let t = -937/2 + k. Suppose -t*w**2 - 5/2*w**4 - 11*w**3 - 3*w + 0 = 0. Calculate w.
-3, -1, -2/5, 0
Let o(q) be the second derivative of -2*q**5/15 + 337*q**4/18 - 2380*q**3/3 + 588*q**2 + 10*q - 6. What is z in o(z) = 0?
1/4, 42
Let t be 16/(-6) + (-2)/(-3). Let p be -4*t/(-25)*(-50)/40. Factor -p*b**2 + 8/5*b - 8/5.
-2*(b - 2)**2/5
Let b = -1140 + 1143. Determine w, given that -3/7 + 6/7*w + 3/7*w**4 + 0*w**2 - 6/7*w**b = 0.
-1, 1
Let n(j) = -2*j**4 + j**3 - j**2 - j + 1. Let x(q) = 9*q**4 - 75*q**3 + 60*q**2 - 3*q + 3. Let m(b) = -3*n(b) + x(b). Suppose m(i) = 0. Calculate i.
0, 1, 21/5
What is n in -2/11*n**2 - 84/11*n + 0 = 0?
-42, 0
Let o(b) be the second derivative of -2*b + 1/12*b**4 + b**2 - 1/120*b**5 + 0 - 1/3*b**3. Let z(h) be the first derivative of o(h). Find n such that z(n) = 0.
2
Suppose 414*n + 259 = 421*n. Let z = -35 + n. Solve 2/3*c + 0 - 1/3*c**z = 0 for c.
0, 2
Let s(h) = 4*h**2 + 936*h - 53816. Let f(l) = l**2 + l + 1. Let a(z) = 8*f(z) - s(z). Factor a(j).
4*(j - 116)**2
Suppose -3*x + 10 = 3*t - t, 0 = 4*x + 2*t - 14. Find v such that v**5 - v - 5*v**4 + 7*v**4 - 4*v**x + 2*v**2 = 0.
-1, 0, 1
Suppose 2*a - 6 = f + 5*a, 4*a + 34 = 3*f. Suppose -2*h + 4*t = f*t + 4, -h = -t - 6. Factor 0 - 2/15*y**4 + 4/15*y**h - 2/15*y**3 + 0*y.
-2*y**2*(y - 1)*(y + 2)/15
Let i(u) be the first derivative of 5*u**3/3 + 27*u**2/2 + 10*u - 106. Let q be i(-5). What is c in 4/9*c**2 + 0*c + 2/9*c**5 + q + 10/9*c**3 + 8/9*c**4 = 0?
-2, -1, 0
Let g be (((-2)/(-5))/((-16)/6))/((-187)/935). Let h be (1/4)/(1/6). Factor -g*k - h*k**2 + 0 - 3/4*k**3.
-3*k*(k + 1)**2/4
Let z(g) = -g**5. Let c(b) be the third derivative of -b**8/42 - b**7/35 + b**6/15 + 43*b**2. Let i(m) = 2*c(m) - 18*z(m). Solve i(l) = 0.
0, 2, 4
Let c(y) be the third derivative of 1/3864*y**8 + 4/2415*y**7 + 1/345*y**6 + 0*y**3 - 3*y**2 + 0*y + 0 + 0*y**5 + 0*y**4. Factor c(b).
2*b**3*(b + 2)**2/23
Let h(g) be the second derivative of 1/10*g**4 + 1/30*g**3 + 6 - 3*g - 1/100*g**5 + 0*g**2 - 1/25*g**6. Determine y, given that h(y) = 0.
-1, -1/6, 0, 1
Let m(s) be the first derivative of 1/8*s**4 - 3/10*s**5 + 0*s - 1/2*s**2 + 1/12*s**6 - 27 + 1/2*s**3. Solve m(g) = 0 for g.
-1, 0, 1, 2
Factor -3/5*a**2 - 141/5*a + 144/5.
-3*(a - 1)*(a + 48)/5
Let i = 22 - 6. Determine g so that 4 - 100*g**3 + 50*g**4 - 20*g**2 + 110*g**4 + i*g - 196*g**5 + 4*g + 132*g**5 = 0.
-1/4, 1
Let p be 5/4*(1 + (-21)/35)