*x**2 - 7/5*x**3.
(x - 11)*(x + 1)**2*(x + 2)/5
Let q(a) be the second derivative of a**7/2016 + a**6/36 - 17*a**4/2 - 2*a - 13. Let i(z) be the third derivative of q(z). Factor i(k).
5*k*(k + 16)/4
Find v, given that -2429 + 3*v**2 + 3476256*v - 3476931*v - 3769 + 2040 = 0.
-6, 231
What is g in 410*g**2 - 175*g - 1252 - 103*g + 6*g**3 + 1114 = 0?
-69, -1/3, 1
Suppose 0 = -4*k + 5*k - 2. Suppose m - 3*l = -12, 1 - 6 = -5*m + k*l. Factor 8*x - 8 - x**3 + x + m*x - 3*x**3.
-4*(x - 1)**2*(x + 2)
Let u(z) be the second derivative of -1/120*z**6 - 5/2*z**2 + 0 - 12*z + 1/30*z**5 + 0*z**4 + 0*z**3. Let n(w) be the first derivative of u(w). Factor n(c).
-c**2*(c - 2)
Let m(p) be the first derivative of 174*p + 441/2*p**2 - 165 - 21/4*p**4 - 198*p**3. What is r in m(r) = 0?
-29, -2/7, 1
Suppose -4*s + 32 = 3*y, 4*s + 4*y = 20 + 12. Let j be (2/6)/((-81)/(-9) - s). Determine b so that 0*b + 4/3 - j*b**2 = 0.
-2, 2
Let l = -6020 - -6025. Let z be (-25)/(-10) + -3 - 34/(-20). Factor z*p**3 + 2/5*p**l + 0*p + 6/5*p**4 + 2/5*p**2 + 0.
2*p**2*(p + 1)**3/5
Let a be ((-4*212)/(-2))/(38/171). Suppose 9*r + a - 1935 = 0. Factor -2*h + 0 - 7/3*h**2 - 1/3*h**r.
-h*(h + 1)*(h + 6)/3
Find h, given that -2648/3*h**3 + 2/3*h**4 - 1165120*h + 1161600 + 881768/3*h**2 = 0.
2, 660
Let y = 158035/78 + -52635/26. Let -5/3*o**3 + 15*o + 15 - y*o**2 = 0. Calculate o.
-3, -1, 3
Let b = -5 + 10. Suppose 4*l - 8550 = 2*k, -b*l + 6920 = 5*k - 3805. Determine m, given that 2145*m**2 - 2 - 10*m - l*m**2 + 7 = 0.
1
Let k(t) be the first derivative of 2*t**3/3 + 50*t**2 - 318*t + 954. Factor k(b).
2*(b - 3)*(b + 53)
Let f(m) be the third derivative of -m**5/240 + 11*m**4/8 - 65*m**3/6 + 2692*m**2. Factor f(o).
-(o - 130)*(o - 2)/4
Suppose -75*o - 31*o = -424. Let f(t) be the first derivative of -40*t**3 - 5/4*t**o - 480*t**2 + 8 - 2560*t. Factor f(g).
-5*(g + 8)**3
Factor 1 - 641967*u**4 - 1 + 641965*u**4 - 98*u**2 - 28*u**3.
-2*u**2*(u + 7)**2
Let m(l) = l**2 - 4*l + 7. Let p be m(3). Let i be 0/(-3 + 3 - p)*-1. Factor i*x - 2/3*x**2 + 2/3.
-2*(x - 1)*(x + 1)/3
Let p(o) be the second derivative of -1/72*o**4 - 7/6*o**2 - 44 - 2*o - 5/12*o**3. Suppose p(h) = 0. What is h?
-14, -1
Let a = -13 - -18. Let k(n) = 6*n**4 + 8*n**2 + 4 - a*n**4 - 9*n**2 - 6*n + 6*n**3. Let f(b) = -6*b**3 + 6*b - 3. Let o(g) = -4*f(g) - 3*k(g). Factor o(s).
-3*s*(s - 2)*(s - 1)*(s + 1)
Let r(f) be the first derivative of f**5/250 + 11*f**4/75 + 121*f**3/75 + 239*f + 98. Let q(c) be the first derivative of r(c). Factor q(a).
2*a*(a + 11)**2/25
Let l(f) = f**3 + 17*f**2 - 16*f + 39. Let b be l(-18). Factor -28*p**2 + 29*p**2 + 4 - b*p - 2.
(p - 2)*(p - 1)
Suppose -963*r = -144*r + 13*r - 2841 - 487. Suppose -22/7*l + 20/7 - 18/7*l**2 + 22/7*l**3 - 2/7*l**r = 0. What is l?
-1, 1, 10
Suppose -a = -0*a - b, -3*b - 4 = -5*a. Let x be (-4)/5*a*(-10)/8. Find t, given that 7*t + 2*t**3 + 0*t - 4*t + 12*t**x + 7*t = 0.
-5, -1, 0
Let b be (-6)/(-27) - (-102)/27. Let g be -10*(-4)/(16/76). Find q, given that -190*q + q**3 + q**b + g*q = 0.
-1, 0
Suppose 5*z - 45 = -p, -4*z + 3*p - 6*p + 47 = 0. Let c be (12*4/z)/3. What is a in 2 - 5*a**2 - 5*a**3 + 1 + 5*a**4 - 1 - 2*a**4 + c*a**5 + 3*a = 0?
-2, -1, -1/2, 1
Find v, given that 2554/5*v - 6/5*v**2 - 340 = 0.
2/3, 425
Let m(t) = -8*t**2 - 9*t + 104. Let h(x) = 7*x**2 + 4*x - 104. Let f(a) = -3*h(a) - 2*m(a). Let f(v) = 0. Calculate v.
-4, 26/5
Suppose 502*i - 510*i + 232 = 0. Factor -48*g**3 + i*g**3 + 19*g**2 + 22*g**3 - 7*g**2.
3*g**2*(g + 4)
Let c be 98/(-126) - 272/(-72). Find n, given that -243/2 + 63/4*n**c - 411/4*n**2 - 3/4*n**4 + 837/4*n = 0.
1, 2, 9
Let y(k) be the second derivative of -169/5*k**2 + 2*k - 26/15*k**3 - 1/30*k**4 + 11. Factor y(d).
-2*(d + 13)**2/5
Let a be (-10)/155 - 1794/(-2821). Let s(n) be the first derivative of -2/7*n**3 - a*n - 5 + n**2. Factor s(x).
-2*(x - 2)*(3*x - 1)/7
Suppose 22*y - 12*y + 20 = 0. Let m be (-1)/y*0/1. Factor -8 + 12*z - 8 + 3*z**2 + m + 1.
3*(z - 1)*(z + 5)
Let o(f) be the third derivative of f**9/272160 - f**8/22680 - f**5/20 - 7*f**3/6 - 60*f**2. Let h(i) be the third derivative of o(i). Factor h(p).
2*p**2*(p - 4)/9
Factor 6/5*m - 1/5*m**4 + 0 + 7/5*m**2 + 0*m**3.
-m*(m - 3)*(m + 1)*(m + 2)/5
Let h(u) = 10*u**2 + 2*u + 1. Let i(b) = 4*b**2. Let n(y) = h(y) - 2*i(y). Let f(j) = 3*j**2 - 24*j + 75. Let v(d) = f(d) - 3*n(d). Factor v(q).
-3*(q - 2)*(q + 12)
Suppose -88 = 5*q - 16*q. Suppose 68 - q = 12*b. Factor 4*k**4 + 8*k**2 + 12*k**3 - b + 2 + 3.
4*k**2*(k + 1)*(k + 2)
Let p(v) be the third derivative of 0*v + 2/35*v**7 + 0 - 3/5*v**5 + 7/30*v**6 - 7/6*v**4 - 180*v**2 + 4*v**3. Find l such that p(l) = 0.
-3, -1, 2/3, 1
Let o(y) be the third derivative of 289*y**4 + 0 - 17/5*y**5 - 39304/3*y**3 - 43*y**2 + 0*y + 1/60*y**6. Find w such that o(w) = 0.
34
Solve 45*c**2 - 48*c**2 + 40*c + 3*c + 62*c + 24*c - 1350 = 0 for c.
18, 25
Suppose 5*t + 2*o + 6 = 48, 0 = -o - 4. Factor 7*r + 27 - 19 - t + 9*r**2.
(r + 1)*(9*r - 2)
Suppose -2*a = -7*a + 40. Let l be 4*((-676)/(-507))/((-40)/(-12)). Factor -l*q**5 - a*q**3 + 6*q**4 + 0*q + 4*q**2 - 2/5.
-2*(q - 1)**4*(4*q + 1)/5
Let c(u) be the second derivative of u**5/12 + 311*u**4/18 + 9734*u**3/9 + 3844*u**2/3 + 1253*u. Factor c(w).
(w + 62)**2*(5*w + 2)/3
Let y = -11501 + 11526. Let o(x) be the first derivative of 2/3*x - 1/5*x**5 - 1/3*x**3 - y + 1/2*x**2 - 7/12*x**4. Factor o(v).
-(v + 1)**3*(3*v - 2)/3
Let d = -871 - -874. Let n be (d/((-21)/(-4)))/((-8)/(-28)). Factor -9*w**n - 3/2 - 6*w**3 - 6*w - 3/2*w**4.
-3*(w + 1)**4/2
Let y(o) be the second derivative of -o**7/315 - 2*o**6/75 - o**5/30 + 2*o**4/15 - 66*o + 4. Suppose y(l) = 0. What is l?
-4, -3, 0, 1
Let n(o) be the second derivative of o**5/5 + 28*o**4/3 - 6*o**3 - 504*o**2 - 283*o + 6. Let n(s) = 0. What is s?
-28, -3, 3
Factor -2/9*n**2 + 46/9*n + 0.
-2*n*(n - 23)/9
Let d(g) be the third derivative of -25/6*g**3 + 1/60*g**5 + 2*g + g**4 - 48*g**2 + 0. Suppose d(y) = 0. What is y?
-25, 1
Let y(w) be the second derivative of -w**7/13860 + w**6/198 - 5*w**5/33 - 25*w**4/12 + 18*w - 1. Let q(u) be the third derivative of y(u). Solve q(i) = 0.
10
Let h(k) be the second derivative of k**6/600 - k**5/40 + 11*k**3/6 + 4*k**2 - k - 30. Let m(p) be the second derivative of h(p). Factor m(z).
3*z*(z - 5)/5
Let j(r) be the third derivative of -4*r**2 + 3 + 0*r**5 + 1/1344*r**8 + 0*r + 0*r**3 - 1/840*r**7 + 0*r**4 + 0*r**6. Suppose j(c) = 0. Calculate c.
0, 1
Solve 25/4*a**3 + 1/4*a**4 + 0 - 13*a - 7*a**2 = 0 for a.
-26, -1, 0, 2
Suppose 33*j - 28*j = -2*v - 284, 3*v = -2*j - 437. Let g be 343/v*6/(-7). Solve 32/3*o**g + 0 + 16/3*o**3 + 0*o - 4/3*o**5 - 8/3*o**4 = 0 for o.
-2, 0, 2
Find t such that 2/9*t**2 + 1832/9*t + 419528/9 = 0.
-458
Find c such that 220*c - 55 + 96*c**2 - 1960 + 89*c**2 - 190*c**2 = 0.
13, 31
Let o(i) be the third derivative of -2*i**7/105 - 77*i**6/30 - 407*i**5/5 + 2677*i**4/6 - 2756*i**3/3 - 4*i**2 + 2*i - 1465. Let o(q) = 0. What is q?
-53, -26, 1
Let r(j) be the second derivative of j**6/30 - 83*j**5/80 + 131*j**4/48 + 19*j**3/12 + 11*j - 109. Factor r(t).
t*(t - 19)*(t - 2)*(4*t + 1)/4
Let s(o) = 1196*o - 22722. Let r be s(19). Factor -3/2*l + 1 - 5/2*l**r.
-(l + 1)*(5*l - 2)/2
Let r(f) = 14*f**2 + 1102*f + 146900. Let n(x) = 44*x**2 + 3309*x + 440703. Let w(o) = -6*n(o) + 19*r(o). Factor w(a).
2*(a + 271)**2
Suppose -1784/5*q**4 - 4134/5*q**3 + 0 - 6/5*q**5 + 0*q - 236*q**2 = 0. Calculate q.
-295, -2, -1/3, 0
Let h(a) be the third derivative of 7*a**5/80 - 409*a**4/32 - 59*a**3/2 - 546*a**2. Factor h(v).
3*(v - 59)*(7*v + 4)/4
Let t(x) = -2*x + 2. Suppose -4*l = 3*i + 12, -2*i + 6*i + 16 = 4*l. Let g be t(l). Factor -12*c + 2 - 22 - c**g - 16.
-(c + 6)**2
Let g = 830 - 830. Let a(v) be the second derivative of 2*v + 5/24*v**3 - 1/4*v**2 + 1/80*v**5 + g - 1/12*v**4. Factor a(h).
(h - 2)*(h - 1)**2/4
Let z(g) be the third derivative of -g**8/4032 + 5*g**7/336 + g**5/30 + 2*g**4/3 + 78*g**2 - g. Let y(u) be the third derivative of z(u). Factor y(s).
-5*s*(s - 15)
Let s(l) be the second derivative of -l**7/3360 - l**6/20 + 307*l**3/6 + l**2/2 + 6*l + 1. Let x(j) be the second derivative of s(j). Factor x(b).
-b**2*(b + 72)/4
Let n(p) = 9*p**5 - 99*p**4 + 1026*p**3 - 4692*p**2 + 5097*p + 10941.