ppose h(q) = 0. What is q?
-2, 0
Let d(b) be the first derivative of 3*b**4/5 + 17*b**3/5 - 66*b**2/5 - 36*b/5 + 137. Factor d(a).
3*(a - 2)*(a + 6)*(4*a + 1)/5
Let b(m) be the first derivative of m**4 + m**3/3 + m**2 - 7*m - 3. Let r(q) = -3*q**3 - 3*q + 6. Let n(g) = -6*b(g) - 7*r(g). Factor n(f).
-3*f*(f - 1)*(f + 3)
Let t(k) = 3*k**3 - 13*k**2 - 23*k + 3. Let m(o) = o**3 - o**2 + o. Let c(u) = 4*m(u) - t(u). Let p(v) be the first derivative of c(v). Factor p(q).
3*(q + 3)**2
Let i(q) be the third derivative of 0*q**3 - 23*q**2 + 0 - 1/315*q**7 - 1/30*q**5 - 1/36*q**4 - 1/60*q**6 + 0*q. Factor i(s).
-2*s*(s + 1)**3/3
Let d(f) be the third derivative of 43*f**2 + 1/80*f**5 + 5/24*f**3 + 0*f - 3/32*f**4 + 0 + 1/480*f**6. Find c such that d(c) = 0.
-5, 1
Factor 4/9*l + 1/9*l**2 - 4/3.
(l - 2)*(l + 6)/9
Suppose -16*p - 2 = -17*p. Let l = -248 - -1738/7. Factor 0 - 4/7*n**p + 2/7*n**3 + l*n.
2*n*(n - 1)**2/7
Let t be (-60)/(-35) + (-4)/(-14). Factor 19*k**2 - 11*k**t - 6*k**5 + 8*k**5 - 6*k**4.
2*k**2*(k - 2)**2*(k + 1)
Let t = -6390 - -6393. Factor 0 + 1/5*x**t + 7/5*x**2 + 6/5*x.
x*(x + 1)*(x + 6)/5
What is c in -1/6*c**5 + 2/3*c**3 - 1/2*c + 1/3*c**2 - 1/3 + 0*c**4 = 0?
-1, 1, 2
Let x be ((0 + 0)/(-4))/1. Suppose x = -h + 2*g + 22, 0 = -3*h - 0*h - g + 87. Let 1 + 26*w**2 - 2 - h*w**2 - 7 - 8*w = 0. Calculate w.
-2
Solve -162 - 25/2*t**2 - 90*t = 0 for t.
-18/5
Determine i, given that 0 - 4/7*i - 30/7*i**5 + 34/7*i**3 - 26/7*i**4 + 26/7*i**2 = 0.
-1, 0, 2/15, 1
Find j, given that 192/7*j - 2304/7 - 4/7*j**2 = 0.
24
Let r be (2 + (-14)/4)*(-10)/3. Let a(n) be the third derivative of -9/8*n**4 + 0*n - 1/2*n**r - n**3 - 3/40*n**6 + 0 - n**2. Suppose a(h) = 0. What is h?
-2, -1, -1/3
Let m(z) be the second derivative of 9*z + 14/39*z**3 - 49/13*z**2 - 1/78*z**4 + 0. Factor m(i).
-2*(i - 7)**2/13
Let d(s) be the third derivative of -s**6/300 + s**5/3 + 53*s**4/15 + 72*s**3/5 - 3*s**2 + 8. Factor d(j).
-2*(j - 54)*(j + 2)**2/5
Let u(h) be the second derivative of h**6/165 - 3*h**5/110 - h**4/66 + h**3/11 - 2*h + 1. Factor u(a).
2*a*(a - 3)*(a - 1)*(a + 1)/11
Let j(g) be the second derivative of g**7/7560 - 5*g**4/12 - 11*g. Let o(q) be the third derivative of j(q). Factor o(t).
t**2/3
Let r(j) be the third derivative of j**5/300 - 2*j**4/3 + 160*j**3/3 + 2*j**2 + 10*j. Factor r(b).
(b - 40)**2/5
Suppose g + 2*x = 15, 34*x = 5*g + 33*x - 20. Find p, given that -16/3*p**2 - 14/3*p - 4/3 + 4/3*p**4 - 4/3*p**3 + 2/3*p**g = 0.
-1, 2
Let n(k) = 20*k**2 + 461*k + 28. Let j be n(-23). Let l(y) be the third derivative of 0*y**3 - 1/8*y**4 + 0*y + 0 - 1/20*y**j - 6*y**2 + 1/20*y**6. Factor l(r).
3*r*(r - 1)*(2*r + 1)
Let s(k) = -7*k**2 - 15*k - 36. Let p(g) = -g**2 - g. Let f(h) = -18*p(h) + 2*s(h). Factor f(x).
4*(x - 6)*(x + 3)
Let w(d) be the third derivative of 0*d - 18*d**2 + 7/30*d**3 - 1/300*d**5 + 0 + 1/20*d**4. Factor w(h).
-(h - 7)*(h + 1)/5
Let j(k) be the first derivative of -k**6/120 + k**5/30 + k**4/8 + 5*k**2 + 28. Let y(i) be the second derivative of j(i). Factor y(r).
-r*(r - 3)*(r + 1)
Let b = -109 - -113. Let f(x) be the first derivative of 16*x - 4/3*x**3 + 4*x**2 - 1/2*x**b - 6. Solve f(p) = 0 for p.
-2, 2
Let q(m) be the second derivative of m**8/6720 + m**7/2520 - m**6/360 + 25*m**4/12 - 24*m. Let d(p) be the third derivative of q(p). Factor d(l).
l*(l - 1)*(l + 2)
Let l(a) = a**3 + 5*a**2 - 6*a + 2. Let d be l(-6). Let c = -262 - -264. Factor 4*g**c + 11*g - 7*g - d*g**2.
2*g*(g + 2)
Let z(k) be the first derivative of -21*k**5/100 + 9*k**4/20 - k**3/5 - 11*k - 12. Let g(i) be the first derivative of z(i). Find j, given that g(j) = 0.
0, 2/7, 1
Let m be -3*(1568/(-12))/8. Let n be ((-78)/56)/(-3) + 14/m. Let 0 + 3/4*o - n*o**2 = 0. Calculate o.
0, 1
Let f be (87/15 + -1)*1730/13148. Solve -16/19 - 24/19*r - 2/19*r**3 - f*r**2 = 0 for r.
-2
Suppose -62*f + 29486 + 7494 - 798*f + 5*f**2 = 0. What is f?
86
Let f(i) be the first derivative of -i**7/1260 + i**6/720 + i**5/90 - i**4/36 + 5*i**2 + 5. Let z(j) be the second derivative of f(j). Factor z(p).
-p*(p - 2)*(p - 1)*(p + 2)/6
Let h(n) be the third derivative of -n**6/840 - n**5/140 - n**4/84 + 2*n**2 + 111. Let h(a) = 0. Calculate a.
-2, -1, 0
Factor 1/3*l**2 - 1/3*l**3 - 4 + 8/3*l.
-(l - 2)**2*(l + 3)/3
Let d be (1 - -59)/(-4) - 3. Let r be (20/6)/((-12)/d). Factor 9*y**5 - 14*y**4 + 5*y**r - 6*y**5 + 2*y**2 + 4*y**3.
2*y**2*(y - 1)**2*(4*y + 1)
Let m(w) be the second derivative of w**6/60 + w**5/5 + 7*w**4/8 + 11*w**3/6 + 2*w**2 - 70*w. Solve m(p) = 0 for p.
-4, -2, -1
Let c(z) be the third derivative of -z**10/151200 + z**9/7560 - z**8/1260 + z**5/2 - 9*z**2 + 1. Let s(y) be the third derivative of c(y). Factor s(o).
-o**2*(o - 4)**2
Suppose 3 = -2*s - 7, 4*s = 5*c - 395. Suppose 5*a = -z + c, -4*z - 9 - 6 = -a. Solve 21*r**4 - 42 + 42 + 6*r**3 + a*r**5 = 0.
-1, -2/5, 0
Suppose -2*j - 4*m = -4, -4*j + 11 = -6*m + 11*m. Let t(f) = -f**3 + 6*f**2 + 8*f - 5. Let b be t(7). Factor -6*i**3 + 7*i + i - j*i**b + 2*i**3 + 0*i**3.
-4*i*(i - 1)*(i + 2)
Suppose 0 = -5*q - 14 + 99. Suppose s - 19 + q = 0. Let 16/3*o - 8/3 + 2/3*o**3 - 10/3*o**s = 0. Calculate o.
1, 2
What is w in 0 - 4/3*w**2 - 16*w = 0?
-12, 0
Let t(p) = p**2 - 5*p + 14. Let x(u) = u**2 - u - 2. Let h(s) = 5*t(s) - 10*x(s). What is n in h(n) = 0?
-6, 3
Let k be 1/13 - (-4224)/858. Let f(x) be the first derivative of -3/5*x**k + 6*x - 9/4*x**4 - x**3 + 9/2*x**2 - 3. Factor f(d).
-3*(d - 1)*(d + 1)**2*(d + 2)
Factor 9*w + 0 - 1/2*w**2.
-w*(w - 18)/2
Factor 45 + 5*d**2 - 52*d + 34 + 7*d + 11.
5*(d - 6)*(d - 3)
Let u = -937/14 - -67. Let t(m) be the second derivative of 0*m**2 - 5*m - 2/21*m**3 + 0 - 1/70*m**5 + u*m**4. Factor t(n).
-2*n*(n - 2)*(n - 1)/7
Suppose -k - c - 5 = 26, -3*k - 95 = 5*c. Let y be (0 - 9/(-6))/(k/(-8)). Factor y + 0*g - 2/5*g**2.
-2*(g - 1)*(g + 1)/5
Let c(d) = 15*d**3 + 39*d**2 - 26*d - 28. Let h(t) = 4*t**3 + 10*t**2 - 7*t - 7. Let g(v) = -6*c(v) + 22*h(v). Let g(y) = 0. Calculate y.
-7, -1, 1
Let c(g) = 7*g**2 - 2*g - 4. Let k(s) = -27 - 15*s + 15*s**2 + 52*s**2 - 19*s**2. Let h(i) = 27*c(i) - 4*k(i). Solve h(y) = 0.
0, 2
Let d(v) = -v**3 + 4*v**2 - 14*v + 95. Let p be d(5). Let l be (-6)/4 + (-42)/(-12). Factor 0*c + 3/2*c**3 + 3*c**l + p.
3*c**2*(c + 2)/2
Let z be ((-3)/2)/((-27)/(-18)) - -6. Suppose 3*l - z*l + 12 = -2*t, 3*t = 2*l - 16. Determine p so that 1/7*p - 1/7*p**4 + 3/7*p**3 + 0 - 3/7*p**l = 0.
0, 1
Let s(f) be the second derivative of 5/399*f**7 + 4/57*f**4 - 8/285*f**6 - 33*f - 9/190*f**5 + 0*f**2 + 0 + 4/57*f**3. Suppose s(z) = 0. Calculate z.
-1, -2/5, 0, 1, 2
Let n(v) be the second derivative of v**7/56 - v**6/24 - 7*v**5/80 + 7*v**4/16 - 2*v**3/3 + v**2/2 - 9*v - 9. Factor n(x).
(x - 1)**3*(x + 2)*(3*x - 2)/4
Let h(n) be the second derivative of -2*n**7/7 - 2*n**6/15 - 30*n. Factor h(s).
-4*s**4*(3*s + 1)
Let j be (-34)/(-6)*39/13. Factor -15*r**3 + j*r + 3*r - 20*r**2 + 0*r.
-5*r*(r + 2)*(3*r - 2)
Let w = 2607/100 + -633/25. What is q in 9*q**2 - 39/4*q**3 - 3*q - w*q**5 + 0 + 9/2*q**4 = 0?
0, 1, 2
Let a(u) be the third derivative of -u**5/60 + 5*u**4/3 - 82*u**2 - u. Factor a(s).
-s*(s - 40)
Let r(u) = -8*u**2 - 20*u - 14. Let v(f) = -f**3 - 8*f**2 - 19*f - 15. Let d(b) = -3*r(b) + 2*v(b). Solve d(q) = 0 for q.
-1, 6
Suppose -2 = -f + i, 3*f + 688*i = 686*i + 16. Let l(m) = m**2 + 2*m + 1. Let g be l(-1). Determine v, given that g*v**2 + 0*v + 2/3*v**f + 4/3*v**3 + 0 = 0.
-2, 0
Let l(r) be the second derivative of -2*r**7/35 - 34*r**6/15 - 182*r**5/5 - 294*r**4 - 3430*r**3/3 - 4802*r**2/5 + 222*r - 2. Let l(y) = 0. Calculate y.
-7, -1/3
Let j = 1040 - 1038. Let q(v) be the second derivative of -11*v + 0*v**3 - 1/60*v**5 + 0*v**j + 1/36*v**4 + 0. Let q(d) = 0. Calculate d.
0, 1
Let c(i) = -i**3 + 6*i**2 - 5*i + 5. Let s be c(5). Solve 531*r**3 - 558*r**4 + 179*r**3 - 402*r**2 + 96*r + 223*r**s - 8 - 61*r**5 = 0.
2/9, 1
Let c(x) be the third derivative of 7*x**6/150 - 8*x**5/15 + 22*x**4/15 + 32*x**3/15 + 193*x**2. Factor c(f).
4*(f - 4)*(f - 2)*(7*f + 2)/5
Suppose 80/23*t + 64/23 - 2/23*t**4 - 4/23*t**3 + 24/23*t**2 = 0. What is t?
-2, 4
Let o(t) be the third derivative of -5*t**2 + 32*t**3 + 1/70*t**7 + 13/5*t**5 + 0 + 3/10*t**6 + 0*t + 12*t**4. Factor o(h).
3*(h + 2)**2*(h +