4*n**7/35 + 329*n**6/30 - 322*n**5/5 + 130*n**4 - 400*n**3/3 - 4*n**2 + 10. Let o(a) = 0. What is a?
-5, 2/3, 1, 10
What is q in 23*q**3 + 20 + 62*q**3 + 3*q**4 - 365*q**2 - 340*q - 11*q**4 + 98*q**4 = 0?
-2, -1, 1/18, 2
Suppose -17 = -d - 5*v, -4*d - 4*v + 9 = -11. Let h(p) be the first derivative of 3/7*p**d - 2/7*p + 5 + 8/21*p**3. Factor h(c).
2*(c + 1)*(4*c - 1)/7
Let x(k) be the second derivative of 10*k**2 - 2 + 55/12*k**4 + k + 1/4*k**5 - 1/2*k**6 - 5/42*k**7 + 10*k**3. Factor x(o).
-5*(o - 2)*(o + 1)**3*(o + 2)
Let p(m) be the second derivative of -250*m**7/147 + 8*m**6/7 + 59*m**5/35 + 2*m**4/7 + 1094*m - 4. Let p(u) = 0. Calculate u.
-2/5, -3/25, 0, 1
Let p(r) be the third derivative of r**7/70 - 359*r**6/120 - 97*r**5/12 + 119*r**4/24 + 121*r**3/3 - 60*r**2 + 14*r - 3. Suppose p(j) = 0. What is j?
-1, 2/3, 121
Determine n so that -2/5*n**4 + 1396/5*n**3 + 1402/5 + 4204/5*n + 840*n**2 = 0.
-1, 701
Let b = -64 + 114. Suppose b*t = 46*t + 16. Factor -27*m**4 + m**5 + 25*m**t + 0*m**5 + m**3.
m**3*(m - 1)**2
Let n(y) be the third derivative of y**7/1050 + 3*y**6/200 + 17*y**5/300 - 3*y**4/40 - 3*y**3/5 - 3819*y**2 + 1. What is o in n(o) = 0?
-6, -3, -1, 1
Suppose -5*t - 2*a + 30 + 84 = 0, -3*t = -a - 64. Let b = -19 + t. Determine r so that r**3 - 3*r**3 - 2*r**b + 4*r = 0.
-1, 0, 1
Suppose 81/8*r + 39/8*r**3 - 27/8 + 147/8*r**2 = 0. Calculate r.
-3, -1, 3/13
Suppose 11*j + 3*j = -98. Let f be 1272/(-1113)*j/3. Factor 0 + 2/3*l**2 - f*l.
2*l*(l - 4)/3
Let n = -9991 - -79935/8. Suppose -n*f**5 - 2*f - 85/8*f**3 + 1/2 - 71/8*f**2 - 41/8*f**4 = 0. What is f?
-2, -1, 1/7
Let f(x) = x**2 + 3*x - 5. Let a be f(-5). Factor -1133*c**3 + 6*c + 3*c**a + 15*c**4 - 1110*c**3 + 2270*c**3 + 21*c**2.
3*c*(c + 1)**3*(c + 2)
Let z = 384 - 382. Factor 4*f**3 - 5210*f**2 - f**3 + 5285*f**z.
3*f**2*(f + 25)
Let k = -138 - -158. Solve k*w + 29*w**2 + 5*w**4 - 223*w**3 + 253*w**3 + 16*w**2 = 0 for w.
-4, -1, 0
Let u = -347 + 459. What is v in -144*v - 3*v**4 - u + 60*v**2 - 80 + 13*v**3 - 4*v**3 = 0?
-4, -1, 4
Let f(h) be the first derivative of 8/3*h**2 - h**3 + 4/3*h + 19. Let f(z) = 0. What is z?
-2/9, 2
Let q(x) be the first derivative of -x**8/10080 + x**7/5040 + x**6/2160 - x**5/720 - 76*x**3/3 - 67. Let p(s) be the third derivative of q(s). Factor p(u).
-u*(u - 1)**2*(u + 1)/6
Let z = 547 - 473. Suppose -94*b = -z*b. Factor b - 2/7*y**2 + 4/7*y.
-2*y*(y - 2)/7
Let s(j) = 30*j**3 + 30*j**2 - 15*j - 5. Let w be -2*(-6 - (-33)/6). Let i(c) = -c**3 + c**2 - c - 1. Let l(r) = w*s(r) - 5*i(r). What is z in l(z) = 0?
-1, 0, 2/7
Let v(n) = 9*n**2 - 802*n + 178. Let a(w) = 36*w**2 - 3212*w + 713. Let f(z) = 4*a(z) - 18*v(z). Determine x so that f(x) = 0.
2/9, 88
Let d = 30045 - 90134/3. Determine h, given that -8/3 - 4/3*h**4 - 4/3*h + 1/3*h**5 + d*h**3 + 10/3*h**2 = 0.
-1, 2
Let c = -215124 - -215126. What is g in -256*g - 2048/3 + 40*g**c - 4/3*g**3 = 0?
-2, 16
Find t, given that -2/5*t**2 + 3/5*t + 27/5 = 0.
-3, 9/2
Let h be (-37 - (2 + -1))/(-3 - -5). Let s = h + 37. Factor -17 - 13 - s - 24*j - 3*j**2.
-3*(j + 4)**2
Let u = 4791 - 4786. Let q be (1/(-10))/(8/(-180)). Factor 0 - 1/4*z**u - 1/4*z**4 + q*z**3 + z - 11/4*z**2.
-z*(z - 1)**3*(z + 4)/4
Let n = 62747 + -62745. Let 6/7*m**n + 58/7*m + 36/7 = 0. What is m?
-9, -2/3
Let b = -1012 + 3037/3. Let t(g) be the first derivative of -b*g**3 + 14 - 2*g + 3/2*g**2. Factor t(d).
-(d - 2)*(d - 1)
Let y be 14 + -10 + -3 + (-21)/(-3). Let t be y/2 + 25/(450/(-36)). Determine l so that 0 + 18/5*l**t - 2/5*l**4 - 6/5*l**3 - 2*l = 0.
-5, 0, 1
Let v(r) be the first derivative of 13/60*r**5 + 23/36*r**3 + 83 - 3*r - 47/48*r**4 - 1/72*r**6 + 2*r**2. Solve v(f) = 0.
-1, 1, 6
Suppose -70 = -3*t - 4*l - 40, 0 = t - 2*l + 10. Let k(x) be the first derivative of -1/3*x**3 - 4 - 2*x + 3/2*x**t. Factor k(y).
-(y - 2)*(y - 1)
Let j(a) be the first derivative of 45/2*a**2 - 32 - 25*a + 70/3*a**3. Factor j(b).
5*(b + 1)*(14*b - 5)
Let r(y) be the first derivative of -5/3*y**3 + 1/12*y**6 - 47 + 3/4*y**2 + 0*y - 3/5*y**5 + 3/2*y**4. Let r(t) = 0. What is t?
0, 1, 3
Let c(k) = -80*k**3 - 2835*k**2 + 24990*k - 22625. Let y(o) = 3*o**3 + 105*o**2 - 926*o + 838. Let h(j) = 2*c(j) + 55*y(j). Factor h(g).
5*(g - 6)*(g - 1)*(g + 28)
Let q(t) = -t**2 - t - 1. Let p(a) = -5*a**2 + 10*a - 13. Let v(s) = -p(s) + 3*q(s). Let k be v(8). Determine d so that 28*d - 61*d - 4*d**2 + k*d = 0.
0, 1/4
Suppose 10*u - 12 = 4*u. Factor -1118*j - 80 - 50*j**3 - 165*j**u - 1112*j - 5*j**4 + 2030*j.
-5*(j + 1)**2*(j + 4)**2
Let z(m) = -7*m**2 - 1319*m - 3832. Let s be z(-185). Determine a so that s*a**2 + 512/3*a**3 - 1600/3 - 5120/3*a + 28/3*a**4 = 0.
-10, -2/7, 2
Let d(x) = -40*x + 4019. Let b be d(100). Let r(k) be the first derivative of -20/3*k**3 + k**4 + 14*k**2 - 12*k + b. Factor r(c).
4*(c - 3)*(c - 1)**2
Suppose 5*r = -2*c + 13, -7*c + 11*c + 16 = 4*r. Let w(o) be the first derivative of 4/9*o**r - 1/12*o**4 + 0*o - 1/2*o**2 + 8. Factor w(k).
-k*(k - 3)*(k - 1)/3
Let i(m) = 35*m**3 - 5*m**2 - 25. Let c(q) = 21*q - 88. Let g be c(4). Let s(r) = 6*r**3 - r**2 - 4. Let x(j) = g*i(j) + 25*s(j). Solve x(f) = 0 for f.
0, 1/2
Let v(k) be the third derivative of -2*k**6/15 - 17*k**5/3 + 11*k**4 + 8180*k**2. Let v(y) = 0. What is y?
-22, 0, 3/4
Let v(j) be the second derivative of -1/78*j**4 + 24*j - 14/39*j**3 - j**2 - 2. Factor v(k).
-2*(k + 1)*(k + 13)/13
Let p(v) be the third derivative of -101*v**2 + 0*v**3 - 1/90*v**5 + 0*v**4 + 0 + 0*v. Solve p(g) = 0.
0
Let y be (10/1440)/((-7)/(-182)). Let x(g) be the third derivative of -18*g**2 - y*g**4 + 1/90*g**7 + 0 + 0*g + 1/9*g**3 + 3/20*g**5 - 23/360*g**6. Factor x(s).
(s - 1)**3*(7*s - 2)/3
Solve -3999269*s**3 - 815 + 3999349*s**3 + 1105*s**2 + 4*s**5 - 345*s**2 + 167 - 112*s**4 - 84*s = 0 for s.
-2, -1, 1, 3, 27
Let c = 5761/9 - 115217/180. Let d(a) be the second derivative of 0 - 13*a + c*a**6 + 7/9*a**3 + 2/3*a**2 + 17/36*a**4 + 17/120*a**5. Find t such that d(t) = 0.
-2, -1, -2/3
Suppose 18*i = 14*i + 2*d + 46, 4*d - 64 = -4*i. Suppose 3*s - i = -7. Factor 1/4*c**s + 0 - 1/2*c.
c*(c - 2)/4
Let s = 24151/65 - 4825/13. Factor -1/5*v**3 + s + 3/5*v + 0*v**2.
-(v - 2)*(v + 1)**2/5
Let d(o) = 10*o + 12. Let a be d(-1). Factor -84 + 26 - 4*c**a + 127*c + 49*c - c**2 - c**2.
-2*(c - 29)*(3*c - 1)
Let r = 21615 + -21615. Let x(w) be the third derivative of -1/420*w**7 + 0 + 0*w - 9*w**2 + r*w**4 + 0*w**3 - 1/30*w**5 - 1/60*w**6. Factor x(m).
-m**2*(m + 2)**2/2
Let b(v) be the first derivative of -82 + 0*v**2 + 1/6*v**4 + 0*v - 4/9*v**3 - 1/9*v**6 + 4/15*v**5. Determine h so that b(h) = 0.
-1, 0, 1, 2
Let i(b) = -b**2 + 6. Let f(h) = -4*h**2 - 53*h + 18. Let q(c) = f(c) - 3*i(c). Factor q(j).
-j*(j + 53)
Let p(w) = w**2 - 5*w - 12. Suppose -36 = -4*i - 2*h, h + 1 + 9 = 2*i. Let d be p(i). Factor 1/2*o**2 + 2*o + d.
(o + 2)**2/2
Suppose 5*w - 1248*c = -1253*c + 50, w + 4*c = 34. Let 9/2*g - 4 - 1/2*g**w = 0. What is g?
1, 8
Let o(b) be the second derivative of -b**5/25 - 22*b**4/15 + 34*b**3/5 + 144*b**2/5 - 4598*b. Factor o(r).
-4*(r - 3)*(r + 1)*(r + 24)/5
Let m be (-11)/(-4) + (-18)/24. Factor 120*f + 31*f**2 - 10*f**2 - m*f**3 + 0*f**2 + 3*f**3 + 100.
(f + 1)*(f + 10)**2
Let l(b) be the first derivative of -b**6/57 + 4*b**5/95 + 21*b**4/38 - 124*b**3/57 + 40*b**2/19 - 1974. Solve l(f) = 0.
-5, 0, 1, 2, 4
Let g(t) be the third derivative of -1/2160*t**6 + 0*t + 7/360*t**5 + t**2 - 49/144*t**4 + 0 - 2*t**3. Let v(d) be the first derivative of g(d). Factor v(h).
-(h - 7)**2/6
Let b be ((0/14)/5)/(19 + -5 + -12). Factor 5/3*o**2 - 125/3 + b*o.
5*(o - 5)*(o + 5)/3
Let b(v) be the first derivative of -v**6/360 - 13*v**5/60 - 2*v**4 + 16*v**3/3 + v**2/2 - 185. Let p(u) be the third derivative of b(u). Solve p(l) = 0.
-24, -2
Suppose 0 = 2*d + 17 + 7. Let a be (0 + 100/d)*-3. Factor -45*h**3 - 3*h**2 + 5*h - a*h**5 - 5*h + 13*h**2 + 60*h**4.
-5*h**2*(h - 1)**2*(5*h - 2)
Suppose 2*v + 4*b = 46, -111*v + 5*b - 38 = -107*v. Solve -39/5*j**2 + 12/5 - 3*j**v - 12/5*j = 0 for j.
-2, -1, 2/5
Let g(t) be the second derivative of t**5/5 + 85*t**4/3 - 93*t - 3. Determine a so that g(a) = 0.
-85, 0
Solve 3/8*u**2 - 831/8*u + 0 = 0 for u.
0, 277
Solve 4*u**2 - 29 - 9 - 2*u**2 - 27 - 43 - 106*u = 0 for u.
-1, 54
Let d(