/3*r - w = 0.
-2, -1
Let j(f) be the first derivative of 0*f - 5/4*f**2 - 4 - 5/2*f**3. Solve j(t) = 0.
-1/3, 0
Let p(l) be the third derivative of -l**8/10080 - l**7/1890 - 13*l**4/24 + 6*l**2. Let q(b) be the second derivative of p(b). Factor q(w).
-2*w**2*(w + 2)/3
Factor -y**2 + 0*y + 0 + 51/2*y**3 + 53/2*y**4.
y**2*(y + 1)*(53*y - 2)/2
Let g = -44 - -23. Let o = 23 + g. Let 39*z**2 - 5*z - 38*z**2 + o*z = 0. What is z?
0, 3
Let d(w) = -2*w - 13. Let r be d(-9). Let q(s) = -s**3 + 4*s**2 + 6*s + 4. Let f be q(r). Suppose 3*k - 6*k**2 - 9 + f = 0. Calculate k.
0, 1/2
What is x in 2*x**2 - 6*x + 48 + 7*x - 23*x = 0?
3, 8
Let o be (44/(-8) + 5)/(3/(18/(-4))). Suppose 9/4*u**2 + 3*u + o = 0. What is u?
-1, -1/3
Suppose 5*j + 14 = 14. Suppose -h + 4*h + j*h = 0. Factor -1/2*i**4 + 1/4*i**5 - i**3 + h + 0*i + 2*i**2.
i**2*(i - 2)**2*(i + 2)/4
Let h(z) be the second derivative of -z**5/130 + z**4/6 - 55*z**3/39 + 75*z**2/13 + 182*z - 1. Let h(q) = 0. Calculate q.
3, 5
Let s(h) = h**5 + 2*h - 1. Let r(p) = -15*p**5 - 70*p**4 - 65*p**3 + 1260*p**2 - 1640*p + 10. Let c(m) = -r(m) - 10*s(m). Factor c(w).
5*w*(w - 2)**2*(w + 9)**2
Let m(p) be the first derivative of 2*p**7/21 - 2*p**6/5 + 3*p**5/5 - p**4/3 - 5*p + 5. Let j(r) be the first derivative of m(r). Factor j(d).
4*d**2*(d - 1)**3
Let v(w) = -2*w**2 + w - 1. Let n(f) = -11*f**2 - 92*f - 265. Let i(q) = -n(q) + 4*v(q). Let i(r) = 0. Calculate r.
-29, -3
Suppose 7*o - 7 - 14 = 0. Determine r so that r**4 - 10*r**o + 0*r**4 - 4*r**4 - 2*r**4 = 0.
-2, 0
Factor 24/11*k + 6/11*k**2 - 24/11 - 6/11*k**3.
-6*(k - 2)*(k - 1)*(k + 2)/11
Let f = -13/132 - -2/11. Let s(j) be the third derivative of 0*j**3 - 1/60*j**5 - f*j**4 + 9*j**2 + 0*j + 0. Factor s(i).
-i*(i + 2)
Let f(g) be the first derivative of -g**6/2700 - g**5/45 - 5*g**4/9 + 31*g**3/3 - 34. Let x(a) be the third derivative of f(a). Factor x(w).
-2*(w + 10)**2/15
Factor 12*x**2 + 0 + 4/7*x**3 + 0*x.
4*x**2*(x + 21)/7
Let t be 305/(-75) - -5 - 6/10. Factor -t*h + 0 + 1/3*h**2.
h*(h - 1)/3
Let v(f) be the third derivative of -1/30*f**6 + 1/6*f**4 + 1/15*f**5 - 2/3*f**3 - 14*f**2 + 0*f + 0. Suppose v(w) = 0. Calculate w.
-1, 1
Let d(h) be the second derivative of -h**6/75 - 3*h**5/50 + h**4/3 + 152*h. What is a in d(a) = 0?
-5, 0, 2
Let x(n) be the third derivative of n**7/840 - n**6/80 - 7*n**5/240 + 3*n**2 - 18. Factor x(t).
t**2*(t - 7)*(t + 1)/4
Let g(k) = k**2 - 82*k + 1056. Let n be g(66). Factor 4/5*h**3 + 4*h**2 + 24/5*h + n.
4*h*(h + 2)*(h + 3)/5
Let a = -89/6 + 224/15. Let h(x) be the first derivative of -1/12*x**3 + 0*x - 2 + a*x**5 - 1/16*x**4 + 0*x**2. Determine l so that h(l) = 0.
-1/2, 0, 1
Factor 2*n**4 + 8789*n**5 + 2*n**4 - 8785*n**5.
4*n**4*(n + 1)
Let j(k) be the third derivative of -1/20*k**6 + 10*k**2 + 0 + 0*k - 3/280*k**7 - 1/16*k**4 + 0*k**3 - 7/80*k**5. Find g, given that j(g) = 0.
-1, -2/3, 0
Let o(q) = -79*q - 474. Let p be o(-6). Let -1/2*u**2 + 1/2 + p*u = 0. Calculate u.
-1, 1
Let c(w) be the first derivative of -w**4 + 28*w**3/3 - 8*w**2 - 48*w - 13. Let c(p) = 0. Calculate p.
-1, 2, 6
Let l(x) be the second derivative of -5*x**4/12 - 5*x**3 + 180*x**2 + 62*x. Factor l(f).
-5*(f - 6)*(f + 12)
Let q be 11 + (-28)/(3584/1392) - (-226)/112. Suppose 36/7 + 3/7*w**4 - 48/7*w - 3/7*w**5 + 27/7*w**3 - q*w**2 = 0. What is w?
-2, 1, 3
Let s(i) be the second derivative of -i**4/36 - 7*i**3/9 + 15*i + 1. Factor s(c).
-c*(c + 14)/3
Let y(a) be the third derivative of -1/300*a**6 + 0*a**4 - a**2 + 0*a + 2/525*a**7 + 0*a**3 - 1/150*a**5 + 0. Solve y(u) = 0 for u.
-1/2, 0, 1
Let d(l) be the third derivative of -3*l**2 - 1/120*l**5 + 1/720*l**6 - 1/36*l**3 + 0 + 0*l + 1/48*l**4. Determine k, given that d(k) = 0.
1
Let b(d) be the first derivative of 13*d**3/3 + 9*d**2 - 10*d - 8. Let q(m) = -14*m**2 - 19*m + 10. Let x(l) = 4*b(l) + 3*q(l). Factor x(n).
5*(n + 2)*(2*n - 1)
Suppose -605*b + k = -602*b - 7, -4*b + 5*k = -35. Factor b - 2/5*i**2 + 0*i - 2/5*i**3.
-2*i**2*(i + 1)/5
Let k(n) be the third derivative of -n**6/720 + n**5/72 - n**4/18 + n**3/9 - n**2 + 122. Factor k(q).
-(q - 2)**2*(q - 1)/6
Let -49*u + 0 - 1/2*u**3 - 99/2*u**2 = 0. What is u?
-98, -1, 0
Let r(j) be the third derivative of -13/8*j**4 + 5/14*j**7 - 1/40*j**6 + 0*j - 23/20*j**5 + 1/8*j**8 - j**3 + 0 + 8*j**2. Determine t so that r(t) = 0.
-1, -1/2, -2/7, 1
Let f be (-6)/45 + 23/69. Let p(z) be the first derivative of 4/15*z + 1 + 0*z**3 + 1/30*z**4 - f*z**2. Find t, given that p(t) = 0.
-2, 1
Let g(p) be the second derivative of -p**4/12 + 5*p**3/2 + 8*p**2 + 82*p. Factor g(y).
-(y - 16)*(y + 1)
Let p be 462/4950*5/(-2) - 4/(-12). Factor 98/5 + p*h**2 - 14/5*h.
(h - 14)**2/10
Let h = -64 - -104. Suppose -3*k + 17 = 11. Factor -24*b**2 - b**5 - 10*b**4 + k*b**5 - 36*b**2 + h*b**3 - 32 - 20*b**2 + 80*b.
(b - 2)**5
Let s(u) be the third derivative of -u**5/60 + 13*u**4/24 + 7*u**3/3 - u**2 + 80. Factor s(n).
-(n - 14)*(n + 1)
Let u(h) be the first derivative of -h**4/6 + 20*h**3/9 + 8*h**2 - 304. Factor u(w).
-2*w*(w - 12)*(w + 2)/3
Suppose 2*q - 5*p = -2*q, 2*p = -q - 2*q. Suppose -4/7*h + q - 1/7*h**2 = 0. Calculate h.
-4, 0
Let z(n) be the first derivative of -n**4 - 48*n**2 - 1 + 12*n**3 + 69*n - 1 - 5*n + 11. Factor z(g).
-4*(g - 4)**2*(g - 1)
Let u(g) be the third derivative of -g**5/30 + 11*g**4/6 + 25*g**3 - 183*g**2 - 1. Solve u(o) = 0.
-3, 25
Factor -7/5*x**2 - 117/5 + 69/5*x - 1/5*x**3.
-(x - 3)**2*(x + 13)/5
Suppose 13*f - 6*f + 546 = 0. Let q = 81 + f. Factor 0 + 8/5*z**4 + 0*z - 2/5*z**2 - 6/5*z**q.
2*z**2*(z - 1)*(4*z + 1)/5
Let n(v) be the third derivative of -v**7/5880 + v**6/840 - 11*v**4/12 - 29*v**2. Let i(k) be the second derivative of n(k). Factor i(p).
-3*p*(p - 2)/7
Let m(j) = 282*j**4 + 651*j**3 + 582*j**2 + 219*j + 6. Let f(x) = 40*x**4 + 93*x**3 + 83*x**2 + 31*x + 1. Let o(p) = 15*f(p) - 2*m(p). Solve o(z) = 0 for z.
-1, -1/3, -1/4
Let w(i) = 2*i**2. Let h(r) = -55*r**2 + 200*r - 205. Let u(z) = -h(z) - 30*w(z). Factor u(s).
-5*(s - 1)*(s + 41)
Let o be (0*(-7)/(-49))/(-1). Let p(l) be the third derivative of 0 - l**2 + o*l + 1/60*l**4 - 1/300*l**5 + 1/10*l**3. Factor p(f).
-(f - 3)*(f + 1)/5
Let j = -589 + 592. Factor 2/3*l**2 + 0 + 0*l + 1/3*l**j - 1/3*l**4.
-l**2*(l - 2)*(l + 1)/3
Let r(u) be the first derivative of u**4/20 + 31*u**3/15 + 112*u**2/5 - 256*u/5 - 43. Suppose r(q) = 0. Calculate q.
-16, 1
Let l be -34*((-413)/(-70) - 6) + -3. Factor -l*n**4 + 4/5*n + 2/5*n**2 - 4/5*n**3 + 0.
-2*n*(n - 1)*(n + 1)*(n + 2)/5
Let d be ((-880)/64)/((-2)/24). Let l be 9/6*88/d. Factor -l*m**4 - 8/5*m + 8/5*m**3 + 0 + 4/5*m**2.
-4*m*(m - 2)*(m - 1)*(m + 1)/5
Suppose 48*j - 52*j = -4*d + 8, -j - 6 = -2*d. Factor -9/11 + 6/11*t - 1/11*t**j.
-(t - 3)**2/11
Factor -2/7*v + 2/7*v**2 - 12/7.
2*(v - 3)*(v + 2)/7
Let u(t) = 2*t**2 + t + 4. Let n be u(0). Let p = -5 - -7. Determine w so that -8*w**3 - 83*w**n - w**p - 7*w**2 + 81*w**4 = 0.
-2, 0
Let v be ((-10 - 126/(-12))*-1)/((-14)/72). Factor -24/7*n**3 + v*n**2 + 0 + 8/7*n**4 - 4/7*n.
2*n*(n - 2)*(2*n - 1)**2/7
Let q be 805/(-483)*(-1)/(-3)*(-9)/30. Solve -5/6 - 2/3*l + q*l**2 = 0 for l.
-1, 5
Let y be (21/(-28))/((-2)/48). Suppose -2*z - 6 = -4*d, -2*d + 0*d = 2*z - y. Factor -78*t**2 + 31*t - z*t - 8 + 38*t.
-2*(3*t - 2)*(13*t - 2)
Let h(a) be the first derivative of -a**9/30240 + a**8/8400 - a**7/8400 + a**3 - 27. Let p(x) be the third derivative of h(x). Solve p(d) = 0.
0, 1
Let f be (-62)/360 - ((-108)/60)/9. Let n(p) be the second derivative of -7*p - 1/18*p**3 + 0 - f*p**4 + 1/6*p**2 + 1/60*p**5. Factor n(q).
(q - 1)**2*(q + 1)/3
Let n(i) be the second derivative of -6*i - 9/16*i**5 + 0 + 0*i**2 - 7/80*i**6 - 1/4*i**4 + 0*i**3. Determine o so that n(o) = 0.
-4, -2/7, 0
Let z = -84/23 - -275/69. Let i(r) be the first derivative of -1 - z*r**4 + 0*r - 1/15*r**5 - 1/3*r**2 - 5/9*r**3. Determine t, given that i(t) = 0.
-2, -1, 0
Let m = 921 - 165779/180. Let w(k) be the third derivative of -m*k**5 + 0*k**4 - 5*k**2 + 0*k + 0 + 0*k**3. Factor w(n).
-n**2/3
Let s(d) be the third derivative of d**7/11340 + d**6/540 + d**5/108 - 4*d**4/3 - 5*d**2. Let z(l) be the second derivative of s(l). Factor z(h).
2*(h + 1)*(h + 5)/9
Let a(m) be the third derivative of -m**6/540 - m**5/270 + m**4/18 + 4*m*