or m(p).
-5*(p - 4)*(p + 1)*(p + 2)
Suppose -131 = -49*u + 65. Let m(v) be the second derivative of -31/70*v**6 - 1/14*v**u + 9/28*v**5 - 8*v + 9/49*v**7 + 0*v**2 + 0 + 0*v**3. Solve m(f) = 0.
0, 2/9, 1/2, 1
Let i(m) be the first derivative of m**3 + 0*m**4 + 0*m - 1/270*m**6 + 0*m**2 + 1/360*m**5 - 5. Let q(z) be the third derivative of i(z). Factor q(x).
-x*(4*x - 1)/3
Let g(t) be the first derivative of -t**8/5040 + t**7/630 - t**6/270 - 16*t**3/3 - 2. Let i(f) be the third derivative of g(f). Factor i(c).
-c**2*(c - 2)**2/3
Let c(w) = -w**5 - w**4 + w**3 - 7*w**2 - 4*w + 4. Let o(u) = -u**5 - u**4 - 8*u**2 - 5*u + 5. Let h(k) = -5*c(k) + 4*o(k). Factor h(v).
v**2*(v - 1)**2*(v + 3)
Let c = 17/65 - -7/13. Let n(f) be the first derivative of 3 + 3/5*f**2 - c*f + 2/3*f**3. Solve n(g) = 0 for g.
-1, 2/5
Let r(u) be the third derivative of u**7/840 + 3*u**6/160 - 23*u**5/240 - 3*u**4/32 + 11*u**3/12 + 250*u**2. Find z such that r(z) = 0.
-11, -1, 1, 2
Let o(w) = 110*w**3 - 660*w**2 + 255*w - 40. Let t(v) = v**3 - v**2 + 1. Let a(u) = -o(u) - 15*t(u). Factor a(k).
-5*(k - 5)*(5*k - 1)**2
Let b(h) be the second derivative of -h**6/75 + h**5/25 + h**4/10 - 8*h**3/15 + 4*h**2/5 + 99*h. Determine n so that b(n) = 0.
-2, 1, 2
What is o in -4*o**2 + 0*o**2 + 0*o**2 + 9 - 8*o + 0 - 13 = 0?
-1
Factor 20*o**3 - 24*o**4 + 4*o**5 - 17*o**3 - 16*o**2 + 25*o**3 + 8*o**3.
4*o**2*(o - 4)*(o - 1)**2
Let v(x) be the third derivative of -x**6/1260 + 2*x**5/35 - 12*x**4/7 - 37*x**3/6 - 11*x**2. Let a(p) be the first derivative of v(p). What is u in a(u) = 0?
12
Suppose -93*p + 120 = -33*p. Let u(s) be the first derivative of 1/18*s**6 + 1/3*s**5 + 10/9*s**3 + 1/3*s + 5/6*s**p - 9 + 5/6*s**4. Factor u(c).
(c + 1)**5/3
Let -25088/15 - 448/15*j - 2/15*j**2 = 0. Calculate j.
-112
Let y(g) = -8*g + 77. Let q be y(9). Let j = 15 + -11. Determine z so that 4*z**3 - 6*z - 8*z**4 - 3*z + j*z**q + 9*z = 0.
0, 1
Let u(c) be the first derivative of c**4/2 + 2*c**3 - 154. Determine b so that u(b) = 0.
-3, 0
Let i be ((-16)/(-6))/(336/252). Factor 0*c - 8/5*c**i - 8/5*c**3 + 0 - 2/5*c**4.
-2*c**2*(c + 2)**2/5
Suppose -28*c - 57 = -47*c. Suppose 0*g**2 + 4/13*g**5 + 0*g**c - 6/13*g**4 + 0*g + 0 = 0. What is g?
0, 3/2
Let c(s) be the second derivative of -s**9/15120 + s**8/6720 + s**7/1260 - 13*s**4/6 - 25*s. Let w(z) be the third derivative of c(z). Factor w(x).
-x**2*(x - 2)*(x + 1)
Let n(g) be the third derivative of 0 - 1/15*g**3 + 1/24*g**4 - 1/120*g**6 + 0*g + 1/150*g**5 + 14*g**2. Solve n(k) = 0 for k.
-1, 2/5, 1
Let q(a) be the first derivative of -28*a - 5*a**3 - 5*a**3 - 2*a**4 - 13 - 2*a**3 - 30*a**2 + a**4. Solve q(g) = 0 for g.
-7, -1
Suppose 2*r = 6*r - 8. Suppose r*g + 0*g = 10. Determine i so that 4/3*i**4 + 0*i**3 + 0 - 4/3*i**2 + 2/3*i - 2/3*i**g = 0.
-1, 0, 1
Let f = -5 + 28. Let v = 25 - f. Let -10*l**2 + 0 - 1 + 2*l + 9*l**v - 4*l = 0. Calculate l.
-1
Let o(m) be the second derivative of -m**7/14 + 8*m**6/15 + 3*m**5/5 + 173*m - 1. Factor o(z).
-z**3*(z - 6)*(3*z + 2)
Let o be 46/4 + (-7)/(-14). Let g = o + -8. Factor 0*k + 2*k - 2*k - 3*k**g - 3*k**2 + 6*k**3.
-3*k**2*(k - 1)**2
Find k such that 30*k**2 + 2*k**2 + 2*k**3 + 42*k - 56*k**2 - 27 + 7 = 0.
1, 10
Let q(f) be the second derivative of 5*f**4/12 + 5*f**3/6 - 110*f. What is w in q(w) = 0?
-1, 0
Let g be (68/(-20) + 3)*-5. Suppose g*x + 2*f = -0*x + 8, 5*f = 3*x + 4. Factor 3*w + 46*w**2 + 6 - 45*w**x - 4.
(w + 1)*(w + 2)
Let t = -1800 - -12616/7. Factor 16/7*j - t - 4/7*j**2.
-4*(j - 2)**2/7
Solve -24*w - 7278*w**2 - 3*w**3 + 6*w**3 + 7284*w**2 = 0 for w.
-4, 0, 2
Suppose 85 = 13*b + 33. Let g(u) be the third derivative of -1/525*u**7 + 0*u**b - 8*u**2 + 0*u**6 + 0*u**5 + 0 + 0*u**3 + 0*u. Factor g(a).
-2*a**4/5
Let x = -207 - -212. Let o(t) be the third derivative of 0*t + 0*t**3 + 0 - 3*t**2 - 1/300*t**x + 0*t**4. Suppose o(f) = 0. Calculate f.
0
Let r = 13074 - 13071. Factor 14/9*v**2 - 8/9*v**r - 4/9*v - 2/9.
-2*(v - 1)**2*(4*v + 1)/9
Let b(v) = 3*v**3 + 26*v**2 + 47*v. Let l(u) = 2*u**3 + 14*u**2 + 23*u. Let m(p) = -3*b(p) + 7*l(p). Suppose m(c) = 0. What is c?
-2, 0
Let a(g) be the first derivative of 5*g**6/6 + 7*g**5 - 45*g**4/4 - 35*g**3/3 + 20*g**2 + 293. Factor a(f).
5*f*(f - 1)**2*(f + 1)*(f + 8)
Let m(l) = -4*l**2 - 90*l - 570. Let t(d) = 4*d**2 + 89*d + 569. Let o(q) = 7*m(q) + 6*t(q). Let o(p) = 0. Calculate p.
-12
Let n(w) be the third derivative of -3*w**6/40 - w**5/4 - w**4/4 - 60*w**2. Factor n(l).
-3*l*(l + 1)*(3*l + 2)
Suppose -10 = -3*x - 6*v + 10*v, 0 = -x + 5*v + 7. Factor -4*s**x + s**3 - 5*s**2 - 126*s + 4 - 3*s**3 + 123*s.
-(s + 1)*(s + 4)*(2*s - 1)
Let s = 221/1971 + -2/1971. Let w(k) be the first derivative of -2/27*k**3 - 6 + s*k - 1/18*k**2. Factor w(i).
-(i + 1)*(2*i - 1)/9
Factor 9*b**2 - 54*b + 49 + 22*b - 10*b.
(3*b - 7)**2
Let j(v) = -8*v**3 - 15*v**2 + 24*v + 149. Let p(r) = -39*r**3 - 75*r**2 + 120*r + 744. Let o(w) = -24*j(w) + 5*p(w). Find u such that o(u) = 0.
-4, 3
Let b = 491 - 491. Let h(l) be the third derivative of 0 + 0*l**3 + 0*l**5 + 0*l**4 - 5*l**2 + 1/2856*l**8 + 0*l + b*l**7 - 1/1020*l**6. Factor h(p).
2*p**3*(p - 1)*(p + 1)/17
Let q(p) be the first derivative of -2*p**3/21 + 99*p**2/7 - 25. Factor q(g).
-2*g*(g - 99)/7
Let g = 2639 + -2639. Factor -8/3*a**2 + g - 4/3*a - 4/3*a**3.
-4*a*(a + 1)**2/3
Let z(l) be the first derivative of -2*l**6 + 4*l**5 + 2*l**4 - 324. Factor z(m).
-4*m**3*(m - 2)*(3*m + 1)
Let l(m) be the second derivative of -m**6/15 + 7*m**5/5 - 15*m**4/2 + 52*m**3/3 - 20*m**2 - m - 5. Suppose l(j) = 0. What is j?
1, 2, 10
Suppose -7 + 29 = 4*a + 2*y, 4*y = 3*a. Let n(b) be the first derivative of a - 1/6*b + 1/4*b**2 - 1/6*b**3 + 1/24*b**4. Suppose n(l) = 0. Calculate l.
1
Let u = -36/917 - -267014/917. Let t = -291 + u. Factor 0*z + 0 + t*z**2.
z**2/7
Suppose 2*g - 3 = -11. Let s be (-7)/g - 18/24. Let o(x) = 1. Let m(a) = 27*a**2 - 3*a - 3. Let h(u) = s*o(u) + m(u). Factor h(q).
(3*q - 1)*(9*q + 2)
Let z be (1 - 2)*(-18)/36 + (-5)/(-6). Suppose 2/3*w**2 + z + 2*w = 0. What is w?
-2, -1
Let g(m) = -9*m + 121. Let k be g(13). Let s(c) be the second derivative of 2/27*c**3 + 7/54*c**k + 0 + 1/18*c**5 - c + 0*c**2. Suppose s(y) = 0. Calculate y.
-1, -2/5, 0
Let p(x) be the third derivative of -x**6/60 + x**5/15 + 2*x**4/3 - 42*x**2. Determine b so that p(b) = 0.
-2, 0, 4
Let t(k) be the third derivative of k**8/26880 + k**7/420 + k**6/15 + k**5/60 + 6*k**2. Let l(c) be the third derivative of t(c). Factor l(u).
3*(u + 8)**2/4
Let -156*v**4 + 72*v**2 + 264*v - 264*v**3 - 96 - 45/2*v**5 = 0. What is v?
-4, -2, 2/5, 2/3
Let p be (2/(-3))/(40/1080). Let c be p*(-6 - (-267)/45). Suppose -9/5*j - c + 0*j**2 + 3/5*j**3 = 0. What is j?
-1, 2
Suppose -41 = -8*t - 17. Let a(u) = 8*u - 22. Let d be a(t). Factor 3/2*v**d - 3/4*v + 3/4*v**3 - 3/2.
3*(v - 1)*(v + 1)*(v + 2)/4
Let g(o) be the third derivative of -o**8/1008 + 23*o**7/630 - 139*o**6/360 - 3*o**5/4 + 27*o**4 + 162*o**3 - 3*o**2 + 7*o. Factor g(c).
-(c - 9)**3*(c + 2)**2/3
Find m such that 7*m**5 - 38 + 38 + 4*m**3 + 8*m**5 + 3*m**2 - 27*m**4 + 5*m**3 = 0.
-1/5, 0, 1
Let v(a) = -2*a**3 - 10*a**2 - 4*a + 8. Let d(j) = j**2 - 5*j + 1. Let f be d(5). Let x(n) = n**2 + n - 1. Let l(c) = f*v(c) + 8*x(c). Solve l(r) = 0.
-2, 0, 1
Factor -128*t**2 + 6*t**3 + 29*t**2 - 120*t - 3*t**4 + 17 - 24*t**3 - 65 - 12*t**3.
-3*(t + 1)**2*(t + 4)**2
Let k(b) be the third derivative of -b**6/60 - b**5/60 + 3*b**4/4 + 3*b**3/2 + 234*b**2. Factor k(f).
-(f - 3)*(f + 3)*(2*f + 1)
Let -5149 + g**4 + 10298 + 19*g**2 - 11*g**3 - 9*g - 5149 = 0. What is g?
0, 1, 9
Let b = 118 + -115. Let 36*z**5 - 12*z**2 - 39*z**5 + 3*z**3 + 3*z**4 + 9*z**b = 0. Calculate z.
-2, 0, 1, 2
Factor 1/8*q**2 + 961/2 + 31/2*q.
(q + 62)**2/8
Let k = -137 + 140. Let c(v) = -2*v**3 - 54*v**2 - 486*v - 1458. Let w(l) = 2*l**3 + 54*l**2 + 486*l + 1458. Let t(s) = k*c(s) + 2*w(s). Factor t(y).
-2*(y + 9)**3
Let v(m) be the second derivative of 5*m**4/12 + 25*m**3/3 + 40*m**2 - m - 1. Solve v(u) = 0 for u.
-8, -2
Let u = 24983/30 - 833. Let i = 4/15 - u. Find z, given that z**3 + 0*z + 0 + i*z**2 = 0.
-1/2, 0
Let b be 1*(-6 + 3 + (0 - -5)). Let h(j) be the first derivative of -1/18*j**4 + 0*j**b - 2/27*j**3 + 0*j + 3. Factor h(q).
-2*q*