*3*(9*l + 4)
Let i(z) be the first derivative of 2*z**6/15 - z**4 - 4*z**3/3 + 85*z - 51. Let o(m) be the first derivative of i(m). Factor o(s).
4*s*(s - 2)*(s + 1)**2
Factor 26*y + 17/2*y**3 - 28*y**2 + 0 - 1/2*y**4.
-y*(y - 13)*(y - 2)**2/2
Let m = -478 - -485. Factor 2*v**3 + 135 + 45*v + 3*v**2 - 6*v**2 + v**2 - 13*v**2 - m*v**3.
-5*(v - 3)*(v + 3)**2
Let u(r) be the third derivative of -r**8/112 + 11*r**7/70 + 3*r**6/10 - 2*r**2 + 98*r. Factor u(o).
-3*o**3*(o - 12)*(o + 1)
Let z(m) be the second derivative of 45*m + 1/210*m**5 + 1/63*m**3 + 0 - 1/63*m**4 + 0*m**2. Find h such that z(h) = 0.
0, 1
Factor 111/2*y + 90 - 1/2*y**3 + 7*y**2.
-(y - 20)*(y + 3)**2/2
Suppose -138/11*o**3 - 130/11*o**4 - 4/11*o - 42/11*o**5 + 0 - 54/11*o**2 = 0. What is o?
-1, -2/21, 0
Let r(h) be the second derivative of 10*h**5 + 2710*h**4/3 + 1081*h**3/3 + 54*h**2 + 3881*h. Factor r(k).
2*(k + 54)*(10*k + 1)**2
Let d = 55 + -53. Suppose -d = -3*k + 4. Solve i**2 - i**k + i**2 + 9*i - 12*i = 0 for i.
0, 3
What is s in -1/4*s**2 + 603/4 + 301/2*s = 0?
-1, 603
Let y(b) be the second derivative of -11*b**5/5 - 16*b**4/3 + 130*b**3/3 - 76*b**2 - 113*b. Determine n so that y(n) = 0.
-38/11, 1
Factor 31/5*k**2 + 737/5*k - 1/5*k**3 + 141.
-(k - 47)*(k + 1)*(k + 15)/5
Let j(a) be the first derivative of 2*a**3/3 + 28*a**2 + 264*a + 8954. Factor j(x).
2*(x + 6)*(x + 22)
Let w = -422872 + 5497416/13. Factor -2/13*t**2 - 2*t - w.
-2*(t + 5)*(t + 8)/13
Let d(w) be the second derivative of -w**6/165 - 6*w**5/55 - 2*w**4/3 - 16*w**3/11 - 4*w - 91. Solve d(t) = 0.
-6, -4, -2, 0
Factor 1175/4 + 37/4*h**2 - 445/4*h + 1/4*h**3.
(h - 5)**2*(h + 47)/4
Let -1/9*g**4 + 0 + 2*g**3 + 16/9*g**2 - 32/9*g - 1/9*g**5 = 0. Calculate g.
-4, -2, 0, 1, 4
Let y(d) = 35*d**3 + 3195*d**2 - 252765*d - 518435. Let w(a) = 48*a**3 + 4793*a**2 - 379148*a - 777651. Let r(o) = -5*w(o) + 7*y(o). Solve r(q) = 0 for q.
-2, 161
Let u = -308019/5 + 61604. Solve 0*v**2 + 0 + 0*v + 1/5*v**3 - u*v**4 = 0 for v.
0, 1
Factor -1/3*c**3 - 110/3 + 37*c + 0*c**2.
-(c - 10)*(c - 1)*(c + 11)/3
Let a(i) be the third derivative of -147/5*i**3 + 8*i**2 + 0 - 7/10*i**4 - 1/150*i**5 - 21*i. Factor a(b).
-2*(b + 21)**2/5
Let m(d) be the second derivative of -d**5/4 + 10*d**4 + 395*d**3/6 + 135*d**2 - 1458*d. Suppose m(c) = 0. Calculate c.
-2, -1, 27
Let a(l) be the first derivative of -l**7/630 - 7*l**6/1080 - l**5/108 - l**4/216 + 3*l**2/2 - 5*l + 73. Let q(m) be the second derivative of a(m). Factor q(k).
-k*(k + 1)**2*(3*k + 1)/9
Let s(y) be the second derivative of y**5/360 - 13*y**4/144 + y**3/3 + 22*y**2 + 43*y. Let a(c) be the first derivative of s(c). What is q in a(q) = 0?
1, 12
Factor 11/2*g**3 + 0 + 0*g + 9*g**2.
g**2*(11*g + 18)/2
Suppose 237/2 + 1/4*v**2 + 161/4*v = 0. What is v?
-158, -3
Let u(i) be the third derivative of -8*i**7/315 + 19*i**6/30 - 14*i**5/3 + 193*i**4/18 - 8*i**3 - 1910*i**2. Solve u(q) = 0 for q.
1/4, 1, 4, 9
Let r = 170 + 38. Factor r*u + 10 - 2569 - 145 - 4*u**2.
-4*(u - 26)**2
Let j(q) = -350943*q**3 - 32849*q**2 - 751*q + 153. Let k(u) = -58491*u**3 - 5475*u**2 - 125*u + 27. Let c(v) = 6*j(v) - 34*k(v). Factor c(s).
-4*s*(171*s + 8)**2
Let b(s) be the first derivative of -79 - 12*s + 4/3*s**3 - s**2. Factor b(y).
2*(y - 2)*(2*y + 3)
Let r(q) = q**4 + 2*q**3 - q**2 + 16*q. Let v(d) = -16*d**4 - 116*d**3 + 368*d**2 - 288*d. Let c(l) = 36*r(l) + 2*v(l). Let c(f) = 0. What is f?
0, 5, 35
Solve -35*t + 57*t - 504 + 23*t**2 + 22*t - 19*t**2 = 0.
-18, 7
Let d(y) be the third derivative of 7/75*y**5 - 2*y**2 + 82 + 1/3*y**4 + 1/150*y**6 + 0*y + 0*y**3. Factor d(u).
4*u*(u + 2)*(u + 5)/5
Let c(p) be the third derivative of 2*p**7/315 - 97*p**6/90 + 277*p**5/5 - 6815*p**4/18 + 8836*p**3/9 + 4893*p**2. What is b in c(b) = 0?
1, 2, 47
Let j = -15277/2 - -7640. Suppose -39/2*l + 33 + j*l**2 = 0. What is l?
2, 11
Factor 297*k**3 - 835*k**2 + 53*k**2 - 13 + 93*k**2 - 790*k**2 - 1812*k - 23.
3*(k - 6)*(k + 1)*(99*k + 2)
Factor -16/3*j + 2/15*j**3 - 22/15*j**2 - 56/15.
2*(j - 14)*(j + 1)*(j + 2)/15
Suppose -150 + 39*i**3 - 3/2*i**5 - 96*i**2 - 555/2*i + 6*i**4 = 0. Calculate i.
-4, -1, 5
Let x(a) = -27*a**4 - 73*a**3 + 7*a**2 + 73*a + 31. Let o(p) = -9*p**4 - 24*p**3 + 2*p**2 + 24*p + 11. Let d(s) = 11*o(s) - 4*x(s). Find l, given that d(l) = 0.
-3, -1, -1/9, 1
Solve -23*k**4 - 240*k**2 - 76*k**3 + 3030*k**5 + 212*k**3 + 3036*k**5 - 6065*k**5 = 0 for k.
0, 4, 15
Suppose 284*x - 450 = 266*x. Let k(b) = -b**3 + 25*b**2 - 5*b + 128. Let h be k(x). Solve -4 - 1/2*a**2 - h*a = 0.
-4, -2
Let n(c) = -5*c**2 + 370*c + 315. Let d(m) = -2. Let t(b) = 2*b**2 + 10*b - 78. Let k be t(-8). Let r(s) = k*d(s) + n(s). Factor r(p).
-5*(p - 75)*(p + 1)
Let z be 3/(-2) - (-121)/22. Let l(w) be the second derivative of 18*w**2 + 4*w**3 - 7*w + 1/3*w**z + 0. What is b in l(b) = 0?
-3
Let 12*l**3 + 147/4 - 62*l - 1/4*l**4 + 27/2*l**2 = 0. Calculate l.
-3, 1, 49
Let t be ((-1)/(-280))/((16/(-12))/(21/(-27))). Let o(g) be the third derivative of 0*g - 24*g**2 + 0*g**3 - t*g**6 + 0 + 1/240*g**5 + 0*g**4. Factor o(x).
-x**2*(x - 1)/4
Let q(m) be the second derivative of 1/18*m**4 + 0*m**2 + 2/9*m**3 + 103*m + 0. Determine f, given that q(f) = 0.
-2, 0
Let l(p) be the first derivative of 117 - 1/12*p**3 + 1/2*p**2 - p. Factor l(k).
-(k - 2)**2/4
Let i = -17/5 + 141/40. Suppose 214*a + 310*a - 24*a - 917 = 1083. Factor i*l**a - l**3 + 5/2*l**2 + 0 - 2*l.
l*(l - 4)*(l - 2)**2/8
Suppose -37*p - 30 = -47*p. Factor -7*n - 15*n**3 - 9*n**3 + p*n**2 - 4*n**4 - 39*n**2 - 9*n.
-4*n*(n + 1)**2*(n + 4)
Let f be (60 + -1 + -59)/3. Solve 0*o + f*o**2 - 1/2*o**3 + 0 = 0 for o.
0
Let j(w) be the first derivative of 21 + 2/5*w**5 - w**3 - 7/4*w**2 + 7/8*w**4 + w. Find k such that j(k) = 0.
-2, -1, 1/4, 1
Let h(a) be the third derivative of 0*a - 2/3*a**5 + 0 + 0*a**3 + 3/20*a**6 + 1/3*a**4 + 69*a**2. Solve h(z) = 0.
0, 2/9, 2
Let q(x) be the third derivative of -7*x**6/160 - 17*x**5/20 - 23*x**4/8 + 4*x**3 - 1390*x**2 - 2*x. What is f in q(f) = 0?
-8, -2, 2/7
Solve -113/7 - 16*a + 1/7*a**2 = 0 for a.
-1, 113
Solve -3/2*v**4 + 307200 - 51456*v - 3*v**3 + 2448*v**2 = 0 for v.
-50, 16
Let z be (-4)/24*-56 + 36*(-12)/48. Find t, given that -4/3*t + 0*t**2 + t**3 + 0 - z*t**4 = 0.
-1, 0, 2
Factor 41466/7*c**2 + 81224/7*c + 2/7*c**4 + 40328/7 + 572/7*c**3.
2*(c + 1)**2*(c + 142)**2/7
Factor 6/5*c**3 + 9/5*c**4 + 0*c**2 + 0 + 3/5*c**5 + 0*c.
3*c**3*(c + 1)*(c + 2)/5
Let p(u) = -u**3 - 167*u**2 - 4*u + 152. Let f(o) = -82*o**2 - 2*o + 76. Let v(h) = 5*f(h) - 2*p(h). Let v(b) = 0. Calculate b.
-1, 1, 38
Let d(i) be the third derivative of -i**7/924 - 27*i**6/220 + 49*i**5/330 - 34*i**3 + 53*i**2. Let o(k) be the first derivative of d(k). Solve o(z) = 0 for z.
-49, 0, 2/5
Let h(g) be the first derivative of 35/2*g + 1/6*g**3 + 3*g**2 - 125. Factor h(a).
(a + 5)*(a + 7)/2
Let f = -1/7328 + 3665/7328. Solve 3/2*d**2 + f*d**5 + 7/2*d**3 + 0*d + 0 + 5/2*d**4 = 0.
-3, -1, 0
Let j(r) = 265*r**3 - 1275*r**2 - 117475*r + 47430. Let h(b) = -19*b**3 + 91*b**2 + 8392*b - 3388. Let c(z) = -85*h(z) - 6*j(z). Find t, given that c(t) = 0.
-17, 2/5, 20
Let o = -7154767/6868 + 7/1717. Let d = o - -1042. Factor 0 - d*m**4 + 0*m**2 + m - 3/4*m**3.
-m*(m - 1)*(m + 2)**2/4
Factor 1480/9 + 362/9*k - 2/9*k**2.
-2*(k - 185)*(k + 4)/9
Suppose i - k = 28 - 12, 0 = 4*k. Let t(w) be the third derivative of -1/60*w**5 + 0 + 0*w + 0*w**3 + 0*w**4 - i*w**2. Factor t(b).
-b**2
Let h = -48964 - -244832/5. Factor -3/5*j**4 - h*j + 11/5*j**2 + 4/5 - 1/5*j**3 + 1/5*j**5.
(j - 2)*(j - 1)**3*(j + 2)/5
Let k(h) be the third derivative of h**8/5880 + h**7/196 + h**6/20 + 7*h**5/60 - 6*h**3 + 2*h**2 + 90. Let g(w) be the first derivative of k(w). Factor g(o).
2*o*(o + 1)*(o + 7)**2/7
Let d(j) be the first derivative of j**3/12 - 7*j**2 + 147*j + 5122. Factor d(k).
(k - 42)*(k - 14)/4
Let g(u) = u**4 - u - 6. Let l(m) = -4*m**4 - 3*m**3 - 6*m**2 + 13*m + 30. Let h(c) = -5*g(c) - l(c). Factor h(k).
-k*(k - 4)*(k - 1)*(k + 2)
Let k(o) be the second derivative of 1/12*o**4 + 0 + 0*o**2 - 14/3*o**3 + 71*o. Factor k(p).
p*(p - 28)
Let c(t) be the first derivative of 3*t**4/4 + 9*t**3 + 39*t**2 + 72*t - 326. Factor c(o).
3*(o + 2)*(o + 3)*(o + 4)
Let u(w) = 2*w**2 + 6*w - 8. Let b be u(3). Let i = -