(p) = -7*p**2 + 5*p. Let v(d) = -7*m(d) + r(d). Factor v(w).
-2*(w - 1)*(6*w + 97)
Let h(v) be the first derivative of 3*v**5/70 - 2*v**4/21 - 4*v**3/21 + 45*v - 54. Let y(f) be the first derivative of h(f). Solve y(g) = 0 for g.
-2/3, 0, 2
Let v = -2989/4 + 748. Let a(z) be the first derivative of 16 + 0*z**3 - v*z**2 + z + 1/8*z**4. Factor a(f).
(f - 1)**2*(f + 2)/2
Let p(c) be the second derivative of 1/7*c**7 + c - 1/6*c**2 + 35/72*c**4 - 31/60*c**6 + 27 - 1/36*c**3 + 5/24*c**5. Let p(b) = 0. Calculate b.
-1/3, 1/4, 1, 2
Let d = 19777/52696 + -2/6587. Let i(q) be the third derivative of 1/20*q**5 + 11*q**2 + q**3 + 0*q - d*q**4 + 0. Factor i(t).
3*(t - 2)*(t - 1)
Determine g so that -456*g**2 - 12*g**4 - 4*g**5 - 23*g**3 + 5*g**5 - 417*g - 3*g**5 + 5*g**5 - 132 - 163*g**3 = 0.
-4, -1, 11
Let f(q) be the first derivative of -3*q**5/40 - 3*q**4/32 + q**3/2 + 3*q**2/4 + 1130. Determine x, given that f(x) = 0.
-2, -1, 0, 2
Find x such that 482/9 - 482/9*x**2 + 2/9*x**3 - 2/9*x = 0.
-1, 1, 241
Determine w so that 1110/17*w**3 + 6962/17*w**2 + 12168/17 + 18096/17*w + 2/17*w**5 + 78/17*w**4 = 0.
-13, -6, -1
Let y(t) = -6*t - 74. Let d be y(-13). What is w in 12*w**2 - 3*w**5 + 3*w**3 - 8*w**2 - 7*w**2 - w**4 + d*w**4 = 0?
-1, 0, 1
Solve 253/8 + 17/4*s + 1/8*s**2 = 0.
-23, -11
Let u(p) be the first derivative of -2/21*p**3 + 2/35*p**5 + 1/14*p**4 - 101 + 0*p - 1/7*p**2. Solve u(f) = 0.
-1, 0, 1
Let a(v) be the first derivative of -v**3/3 + 49*v**2 + 735*v + 4375. Factor a(b).
-(b - 105)*(b + 7)
Suppose -20721*r**4 - 344*r + 183 + 27*r**3 + 20717*r**4 + 11 - 3*r**3 - 14 + 144*r**2 = 0. What is r?
-5, 1, 9
Let s be 3 + -6 + ((-1463)/(-38) - 34). Factor 1/4*x**3 + 0 - s*x**2 + 9/4*x.
x*(x - 3)**2/4
Find f, given that -96*f + 360*f**4 - 368*f**5 + 520*f**2 + 741*f**5 - 3 + 3 - 820*f**3 - 337*f**5 = 0.
-12, 0, 1/3, 2/3, 1
Factor -4/3*g**2 + 292/3 - 194*g.
-2*(g + 146)*(2*g - 1)/3
Suppose j = -9*j + j + j. Let d(p) be the third derivative of 0*p - 1/4*p**5 + 1/10*p**6 - 1/70*p**7 - 20*p**2 + j*p**3 + 0 + 1/4*p**4. Factor d(u).
-3*u*(u - 2)*(u - 1)**2
Let h = 411 + -407. Factor -1800*c**4 + 1815*c**h + 41*c + 20 + 39*c + 115*c**2 + 70*c**3.
5*(c + 1)**2*(c + 2)*(3*c + 2)
Let k(r) = -2*r**2 - 2*r + 4. Let h(a) = 2*a**3 - 48*a**2 + 1066*a - 4420. Let j(y) = h(y) + 16*k(y). Determine g, given that j(g) = 0.
11, 18
Let c(g) = g - 8. Let z be c(8). Suppose 6*d + 3*d = -0*d. Factor -2/5*w**5 + d*w**3 + z + 0*w**2 + 4/5*w**4 + 0*w.
-2*w**4*(w - 2)/5
Let l(x) be the third derivative of 1/84*x**7 + 2 + 0*x + 1/672*x**8 + 5*x**2 + 0*x**4 + 1/30*x**5 + 1/30*x**6 + 0*x**3. Factor l(f).
f**2*(f + 1)*(f + 2)**2/2
Let x(r) = 7*r**3 - 131*r**2 + 281*r - 137. Let l(m) = 3*m**3 - 67*m**2 + 141*m - 69. Let t(s) = -15*l(s) + 6*x(s). Factor t(q).
-3*(q - 71)*(q - 1)**2
Let 38*i - 36*i**3 - 44*i**4 + 25*i**2 + 30 - 114 - 2*i**5 + 38*i**2 + 65*i**2 = 0. Calculate i.
-21, -2, -1, 1
Let l(b) = 14*b**2 + 534*b + 1062. Let p(z) = z**2 + z + 3. Let r(h) = l(h) - 10*p(h). Solve r(t) = 0 for t.
-129, -2
Let w = 390 - 378. Suppose -5*i = -5*a - 15, -4*i - 9*a = -11*a - w. Determine m, given that 5/6*m - 5/6*m**i - 5/6 + 5/6*m**2 = 0.
-1, 1
Let p(n) = -4*n**2 + 3*n. Let a(k) = -11*k**2 + 8*k. Let j(b) = 3*a(b) - 8*p(b). Let h(m) = 10*m**2 + 3*m. Let r(q) = 2*h(q) + 18*j(q). Factor r(f).
2*f*(f + 3)
Let p(t) be the second derivative of t**4/3 - 19*t**3/12 - 27*t**2/4 + 409*t + 5. Solve p(z) = 0.
-1, 27/8
Let a(g) be the second derivative of 19/6*g**3 + 0*g**2 + 0 + 1/72*g**6 + 0*g**4 - 13*g - 1/24*g**5. Let v(w) be the second derivative of a(w). Factor v(y).
5*y*(y - 1)
Let d(z) be the second derivative of -z**5/300 - z**4/12 - 7*z**3/10 - 33*z**2/2 + z - 138. Let p(w) be the first derivative of d(w). Factor p(j).
-(j + 3)*(j + 7)/5
Let o(l) be the second derivative of 2*l**6/15 - 4*l**5/5 - 80*l**4/3 + 352*l**3 - 1440*l**2 + 1376*l. Let o(f) = 0. Calculate f.
-10, 2, 6
Let c(a) be the second derivative of 3*a**4/20 - 2*a**3/3 + 174*a + 1. Factor c(i).
i*(9*i - 20)/5
Determine w so that 6/11*w**4 + 18/11*w**3 - 120/11*w**2 + 384/11 - 288/11*w = 0.
-4, 1, 4
Find o such that -22/3*o**3 - 8/9*o - 136/9*o**2 + 0 = 0.
-2, -2/33, 0
Let m(h) be the third derivative of h**5/330 + 430*h**4/33 + 739600*h**3/33 - 4928*h**2. Suppose m(v) = 0. Calculate v.
-860
Let y(b) be the first derivative of 4*b**3/3 + 90*b**2 - 184*b + 7512. Solve y(l) = 0 for l.
-46, 1
Let d(l) = 37*l**2 - 43*l + 75. Let r(s) = 20*s**2 - 22*s + 38. Suppose -4*t - 21 = 2*b - 55, 4*b = -t + 47. Let f(k) = b*r(k) - 6*d(k). Factor f(u).
-2*(u - 4)**2
Let t(d) be the second derivative of d**5/100 + 293*d**4/60 + 583*d**3/30 + 291*d**2/10 + 2973*d. Solve t(n) = 0 for n.
-291, -1
Suppose -3*x - 21 = 2*p - 5*p, x = 3*p - 23. Let w be (11/(-264))/(4/p)*-2. Find f such that 0 - 1/6*f**3 - 1/6*f**2 + w*f**4 + 1/6*f = 0.
-1, 0, 1
Let k(m) be the first derivative of 3*m**4/28 - 50*m**3/21 - 39*m**2/2 + 1108. Factor k(i).
i*(i - 21)*(3*i + 13)/7
Let c = 4336 - 4336. Let z(b) be the third derivative of c*b + 0*b**4 + 1/72*b**6 - 12*b**2 - 1/36*b**5 + 0*b**3 + 0. Factor z(a).
5*a**2*(a - 1)/3
Let m(u) be the first derivative of 49/5*u**5 - 16*u**3 - 8*u**2 - 7*u**4 + 5 + 13*u. Let h(a) be the first derivative of m(a). Solve h(t) = 0 for t.
-2/7, 1
Let m(x) be the third derivative of -1/12*x**4 + 0*x + 7*x**2 + 1/40*x**5 - 3 + 1/9*x**3. Factor m(d).
(3*d - 2)**2/6
Let k be ((-441)/56)/9*(-96)/168. Let u = 2 - 0. Factor u*n - k*n**2 - 2.
-(n - 2)**2/2
Suppose 0 = 330*f - 501 + 175 - 334. Factor -9/2 - 15/4*d + 3/4*d**f.
3*(d - 6)*(d + 1)/4
Let s(x) = -x**3 - 9*x**2 - 11*x - 20. Let p(f) = -f - 11. Let y be p(-3). Let v be s(y). Solve -2*h**5 - 5*h**4 + 10*h**4 - 7*h**4 + v*h**5 = 0 for h.
0, 1
Let u(w) be the first derivative of 3*w**4/4 - 8670*w**3 + 37584450*w**2 - 72412707000*w + 8256. Factor u(h).
3*(h - 2890)**3
Let n(x) be the first derivative of 3*x**5/100 + x**4/2 + 5*x**3/2 - 34*x + 33. Let m(w) be the first derivative of n(w). Solve m(z) = 0.
-5, 0
Factor -1/2*g**2 - 9/2*g + 18.
-(g - 3)*(g + 12)/2
Let q = -288538 - -288542. Factor 0 + 0*b - 16/9*b**3 + 4/3*b**2 + 4/9*b**q.
4*b**2*(b - 3)*(b - 1)/9
Let l(u) be the first derivative of -65 - 1/18*u**4 + 0*u + 4/27*u**3 + 1/3*u**2. Factor l(r).
-2*r*(r - 3)*(r + 1)/9
Let x(q) be the second derivative of 7/9*q**4 + 0 + 5/3*q**2 - 19/9*q**3 + 251*q. Factor x(m).
2*(m - 1)*(14*m - 5)/3
Find d, given that -1503/8 + 993/8*d - 161/8*d**2 - 1/8*d**3 = 0.
-167, 3
Let m be ((-99)/144)/(80801/(-6732) - -12). Factor -33/2*z + m + 1/4*z**2.
(z - 33)**2/4
Let q(i) be the second derivative of -1/18*i**4 + 0 + 0*i**2 + 1/45*i**6 - 1/3*i**3 - 12*i + 1/10*i**5. Suppose q(s) = 0. What is s?
-3, -1, 0, 1
Suppose 39/2*v**2 + 3*v**3 - 57*v + 36 - 3/2*v**4 = 0. What is v?
-4, 1, 2, 3
Let w(r) be the third derivative of r**8/784 + 37*r**7/245 + 683*r**6/140 - 8*r**5/5 - 4255*r**4/56 - 1369*r**3/7 - 163*r**2. Find k such that w(k) = 0.
-37, -1, 2
Let a(y) = y**2 + 28*y + 286. Let f(v) = 14*v + 8*v - 4*v + v**2 + 287 + 12*v. Let z(o) = -2*a(o) + 3*f(o). Factor z(n).
(n + 17)**2
Let q(d) be the first derivative of -11/21*d**3 + 1/14*d**5 + 14*d + 2/21*d**4 + 2/7*d**2 - 19. Let y(v) be the first derivative of q(v). Factor y(g).
2*(g - 1)*(g + 2)*(5*g - 1)/7
Factor -162*o - o**2 - 2895547 + 5586*o + 1726217 - 3084909 - 3100705.
-(o - 2712)**2
Let d(b) be the first derivative of -4*b**3/3 - 1520*b**2 - 577600*b - 1105. Suppose d(z) = 0. What is z?
-380
Let n(s) be the third derivative of 0 + 0*s + 30*s**2 + 1/300*s**5 - 7/30*s**3 + 1/20*s**4. Factor n(f).
(f - 1)*(f + 7)/5
Let c be 2/(-28)*(-135)/180. Let h(z) be the third derivative of c*z**4 + 37*z**2 + 0*z + 0*z**3 - 1/140*z**5 + 0. Let h(r) = 0. Calculate r.
0, 3
Let o(f) be the first derivative of -2*f**5/45 + 373*f**4/2 - 278258*f**3 + 155685351*f**2 + 9487. Let o(q) = 0. What is q?
0, 1119
Let o(r) be the first derivative of -55*r**3/3 + 20*r**2 + 13091. What is f in o(f) = 0?
0, 8/11
Suppose 0 = 8*n + 18 - 34. Factor 8*v + 0*v**n + 2*v**4 + 11*v**2 + 0*v - 2*v**3 - 19*v**2.
2*v*(v - 2)*(v - 1)*(v + 2)
Let n = -613 - -733. Let w = n + -120. Suppose w + 32/5*p**2 + 0*p**4 - 12/5*p + 4/5*p**5 - 24/5*p**3 = 0. Calculate p.
-3, 0, 1
Determine l so that 1/8*