+ 5*k**7/1008 + k**6/48 + k**5/60 - 7*k**2. Let p(c) be the third derivative of g(c). Factor p(w).
-5*(w - 3)*(w + 1)**2
Let s be (-290)/20 - -10 - (-6 - -1). Let y(l) be the second derivative of -1/2*l**3 - 1/20*l**5 + s*l**2 - 8*l + 0 + 1/4*l**4. Suppose y(k) = 0. Calculate k.
1
Let o(u) be the second derivative of 2*u**4/3 + 14*u**3/3 + 6*u**2 + 498*u. Factor o(x).
4*(x + 3)*(2*x + 1)
Let d be (10 - -2)*(-5)/10. Let q(u) = -u**4 + 6*u**3 + 8*u**2 + 6*u + 5. Let f(t) = -t**4 + 5*t**3 + 7*t**2 + 5*t + 4. Let h(c) = d*f(c) + 5*q(c). Factor h(o).
(o - 1)**2*(o + 1)**2
Let f(z) be the first derivative of -z**3 + 6*z - 3/2*z**2 - 8. Factor f(i).
-3*(i - 1)*(i + 2)
Let q be 5/(-1) + (12 - 2) + -3. Let x(l) be the first derivative of -4/5*l - 1 - 16/5*l**3 - 9/10*l**4 - 13/5*l**q. Factor x(j).
-2*(j + 2)*(3*j + 1)**2/5
Let o(b) = 2*b**4 + 12*b**3 + 84*b**2 + 94*b - 12. Let v(t) = 4*t**4 + 26*t**3 + 169*t**2 + 189*t - 22. Let y(k) = 11*o(k) - 6*v(k). Factor y(f).
-2*f*(f + 2)*(f + 5)**2
Let n(c) be the first derivative of 4/3*c**3 - 14/3*c**2 + 9 - 8*c. Factor n(v).
4*(v - 3)*(3*v + 2)/3
Suppose 12 = 431*i - 433*i + 3*u, 16 = -5*i + 4*u. Let r be 0 + ((-10)/(-8))/5. Determine f so that -1 + i*f + r*f**2 = 0.
-2, 2
Suppose 5*v + 11 = 5*t + 41, 3*v = 4*t + 24. What is b in 1/4*b**5 + v*b + 1/4*b**3 + 0 - 1/2*b**4 + 0*b**2 = 0?
0, 1
Let m be 1/(-36)*-114 + 25/(-10) + 1. Suppose -10/3*v**3 + 10/3*v - 5/3*v**4 + m*v**2 + 0 = 0. Calculate v.
-2, -1, 0, 1
Let r(i) be the first derivative of 2*i**3/51 + 8*i**2/17 + 14*i/17 - 489. Factor r(j).
2*(j + 1)*(j + 7)/17
Let g(n) = -n**3 - 53*n**2 + 5 + 2*n**3 + 38*n**2. Let f be g(15). Let -27*v**4 - 4*v**5 - 6*v**3 + 3*v**5 + 4*v**f + 24*v**4 = 0. Calculate v.
-1, 0, 2
Let x(i) = 32 - 10*i + 0*i**2 + 4*i**2 + 0*i**2 - 2*i**2. Let z(k) = k**2 - 3*k + 11. Let m(f) = 3*x(f) - 8*z(f). Determine g so that m(g) = 0.
-4, 1
Let m be (0 + (-4)/6)*74/(-296). Let h(z) be the second derivative of 8/3*z**3 - m*z**4 - 16*z**2 - 5*z + 0. Factor h(r).
-2*(r - 4)**2
Let m(n) = n + 3. Let r be m(-4). Let d be 1*2*r/(-2). Factor 2 - 6*x + 2*x**2 + d + 5*x**2 - 4*x**2.
3*(x - 1)**2
Let s(b) be the second derivative of -b**8/43680 + b**7/5460 - b**6/2340 + b**4 + 13*b. Let g(q) be the third derivative of s(q). Factor g(w).
-2*w*(w - 2)*(w - 1)/13
Let n(g) = g**2 + g - 2. Let y be n(-4). Solve -5 + y - 28*b**2 + 6 + 4*b**4 + 4*b**3 + 13 - 4*b = 0 for b.
-3, -1, 1, 2
Factor 12*j**2 - 272*j**2 - 3508*j**3 - 252 + 7009*j**3 - 508*j - 3505*j**3.
-4*(j + 1)**2*(j + 63)
Let n(i) = 9*i**2 - 18*i - 12. Let y(j) = -20*j**2 + 34*j + 22. Let f(g) = 11*n(g) + 6*y(g). Let f(d) = 0. What is d?
0, 2/7
Let g(a) be the third derivative of 2*a**7/735 + a**6/84 - 5*a**4/84 - 2*a**3/21 + 79*a**2 + 2*a. Suppose g(w) = 0. What is w?
-2, -1, -1/2, 1
Let -17/9*a**3 + 0 - 5/9*a**4 + 4*a + 28/3*a**2 = 0. What is a?
-6, -2/5, 0, 3
Let r(w) = 18*w**2 + 107*w + 170. Let o(z) = -8*z**2 - 53*z - 86. Let h(p) = -7*o(p) - 3*r(p). Suppose h(t) = 0. Calculate t.
-23, -2
Let l(p) be the second derivative of 0 + 15/28*p**4 - 17/14*p**3 + 2*p + 3/7*p**2. What is i in l(i) = 0?
2/15, 1
Let m(h) be the first derivative of -1/18*h**3 - 5/6*h + 1/2*h**2 - 4. Solve m(o) = 0.
1, 5
Let h = 116 - 216. Let c be (-4)/(96/h) + -4. Factor 1/6*l**5 - 1/3*l**4 + 0 + 0*l**2 + 0*l + c*l**3.
l**3*(l - 1)**2/6
Suppose -3*s + 198 = -2*s. Let r = 799/4 - s. Factor -3/4 - r*b - 5/4*b**2 - 1/4*b**3.
-(b + 1)**2*(b + 3)/4
Let l(g) be the third derivative of 1/100*g**5 + 8*g**2 + 0*g + 0 - 7/20*g**4 + 49/10*g**3. Suppose l(f) = 0. What is f?
7
Suppose -5*l + 15 = -0*l. Let a be 4 - -4 - (l - 0). Let -5*d**4 + 19*d**5 - 10*d**a - d**4 = 0. What is d?
0, 2/3
Let m = -35 + 37. Suppose -m*b = 3*b, -4*a = 2*b - 24. Find i, given that a + 2/3*i**2 + 4*i = 0.
-3
Let m = 3174 + -47608/15. Factor -m*t**2 - 4/15*t - 2/15.
-2*(t + 1)**2/15
Let r(c) = 3*c + 7. Let i be r(11). Determine p so that -i*p**4 + 27*p**5 + 2*p**3 + 61*p**4 - 8*p**3 = 0.
-1, 0, 2/9
Let a(c) be the first derivative of -9/5*c**2 - 2/15*c**3 - 16/5*c + 39. Suppose a(d) = 0. What is d?
-8, -1
Let n = -368 - -444. Suppose z = u - 0*z, -3*z = u - 16. Factor b**2 + 4*b**5 - 80*b**4 + n*b**u - b**2.
4*b**4*(b - 1)
Let n(l) be the first derivative of -5*l**4/4 + 40*l**3/3 - 50*l**2 + 80*l + 30. Factor n(v).
-5*(v - 4)*(v - 2)**2
Suppose 300/7*j - 72/7 - 81*j**3 + 6/7*j**2 - 159/7*j**4 + 6*j**5 = 0. Calculate j.
-2, -1, 2/7, 1/2, 6
Let o(g) be the second derivative of -g**5/60 + g**4/12 + g**3/2 - 9*g**2/2 - 70*g. Factor o(j).
-(j - 3)**2*(j + 3)/3
Let b(r) be the third derivative of -r**6/40 - r**5/10 + 5*r**4/8 + 3*r**3 - 65*r**2. Factor b(p).
-3*(p - 2)*(p + 1)*(p + 3)
Let o = -583 + 583. Factor -2/23*b**5 + 0*b**3 + 0*b**4 + o + 0*b**2 + 0*b.
-2*b**5/23
Let o(w) be the second derivative of 28*w + 0 - 1/180*w**6 + 1/24*w**4 + 1/36*w**3 - 1/120*w**5 - 1/6*w**2. Find j, given that o(j) = 0.
-2, -1, 1
Let w = 242 + -241. Let y(p) be the first derivative of -w + 2/3*p**2 - 4/3*p - 1/9*p**3. Factor y(v).
-(v - 2)**2/3
Factor 0 + 26/7*g**2 - 48/7*g - 1/7*g**3.
-g*(g - 24)*(g - 2)/7
Let n(x) be the second derivative of -x**7/147 - x**6/35 + 11*x**5/70 + 17*x**4/14 + 62*x**3/21 + 24*x**2/7 + 6*x. Suppose n(o) = 0. What is o?
-3, -2, -1, 4
Let w(q) = 98*q + q**2 + 2 - 3 - 99*q. Let k(i) = -3*i**3 + 9*i + 3. Let o(s) = -k(s) - 3*w(s). Solve o(u) = 0.
-1, 0, 2
Solve 0 - 4/7*u - 2/7*u**4 + 4/7*u**3 + 2/7*u**2 = 0.
-1, 0, 1, 2
Let m be (-276)/(-989)*(-2 - 0)/(-2). Let d = 948/301 + m. Factor -d*a**2 + 0 - 12/7*a**3 - 16/7*a - 2/7*a**4.
-2*a*(a + 2)**3/7
Let -10/7*u**2 - 6/7 - 2*u - 2/7*u**3 = 0. What is u?
-3, -1
Factor 0 - 23/3*o**2 - 1/3*o**3 + 50/3*o.
-o*(o - 2)*(o + 25)/3
Let x be (-7)/14*11/(-440). Let j(p) be the third derivative of -x*p**6 + 0*p**3 + 0 + 0*p + 0*p**4 + 2*p**2 - 1/60*p**5 - 1/420*p**7. What is h in j(h) = 0?
-2, -1, 0
Factor 20*w**4 + 32*w**3 + 5*w**5 - 167*w - 2*w**5 + 167*w + w**5 + 16*w**2.
4*w**2*(w + 1)*(w + 2)**2
Let t be 45*(-2 - 5)/(-63) + -3. Factor 8/7 - 4/7*d**t - 4/7*d.
-4*(d - 1)*(d + 2)/7
Factor 12/5*h**2 + 2/15*h**3 + 144/5 + 72/5*h.
2*(h + 6)**3/15
Let f(g) be the third derivative of 0 + 1/5*g**6 + 1/112*g**8 + 0*g + 0*g**3 - 1/5*g**5 + 0*g**4 - 1/14*g**7 - 8*g**2. Factor f(t).
3*t**2*(t - 2)**2*(t - 1)
Let u(c) = -c**3 + 2*c**2 + 3*c. Let x be u(-2). Suppose -s = -12 + x. Solve -2/3*t**s + 0*t - 2*t**4 - 2*t**3 - 2/3*t**5 + 0 = 0 for t.
-1, 0
Let i(d) be the third derivative of -1/420*d**6 + 0 + 0*d + 1/420*d**5 - 1/1470*d**7 + 11*d**2 + 1/84*d**4 + 0*d**3. What is q in i(q) = 0?
-2, -1, 0, 1
Suppose -3*n = 3*l, n = 4*l + 22 - 7. Let k be l/6 - (-12)/16. Suppose 0 + k*z**2 + 1/4*z = 0. What is z?
-1, 0
Solve 54*c**2 - 4*c**5 - 8*c**4 - 34*c - 28*c + 2*c + 51*c**3 - 4*c**4 - 5*c**5 - 24 = 0 for c.
-2, -1/3, 1, 2
Let i(h) be the third derivative of 1/54*h**4 + 0 - 3*h**2 + 0*h - 1/6*h**3 - 11/540*h**5 + 1/180*h**6. Let o(d) be the first derivative of i(d). Factor o(f).
2*(f - 1)*(9*f - 2)/9
Let m(x) = -22*x**3 + 130*x**2 - 396*x + 422. Let c(j) = 7*j**3 - 43*j**2 + 132*j - 141. Let q(k) = 10*c(k) + 3*m(k). Determine s, given that q(s) = 0.
3, 4
Let p(i) = i**3 - 3*i**2 - i + 3. Let v(q) = q**3 - q. Let s be (12/10)/((-9)/(-30)). Suppose -g - 3 = -s*g. Let a(w) = g*p(w) - 4*v(w). Factor a(r).
-3*(r - 1)*(r + 1)**2
Let j(i) be the third derivative of -i**7/945 + i**6/90 + i**5/90 - 5*i**4/27 + 4*i**3/9 + 44*i**2. What is k in j(k) = 0?
-2, 1, 6
Factor -8 - 12*z**2 - 1/2*z**4 + 4*z**3 + 16*z.
-(z - 2)**4/2
Let l = 5711/60186 + 1/2866. Factor -l*r**2 - 8/21*r + 2/21*r**3 + 8/21.
2*(r - 2)*(r - 1)*(r + 2)/21
Find m, given that 0 - 16/21*m**2 + 16/21*m**4 - 2/21*m**5 - 6/7*m + 20/21*m**3 = 0.
-1, 0, 1, 9
Suppose -8 = 23*m - 54. Let d(k) be the third derivative of 0 - 1/300*k**5 + 0*k**3 + 0*k + 1/1050*k**7 + 1/120*k**4 + 8*k**m - 1/600*k**6. Solve d(s) = 0.
-1, 0, 1
Factor 15*f**3 + 25281*f - 561*f**2 - 9*f**3 - 110995 - 3*f**3 + 84*f**2 - 335636.
3*(f - 53)**3
Let q(n) be the third derivative of n**6/480 - 7*n**5/80 + 5*n**4/4 - 25*n**3/6 - 2*n**2 - 102. Factor q(z).
(z - 10)**2*(z - 1)/4
Suppose 0 = y + 2*f, 8*y - 4*y + 5*f = 0. Factor -10/3*h**4 + 25/3*h**5 + 0*h**3 + 0*h**2 + 0 + y*h.
5*h**4*(5*h - 2)/3
Suppose 