 + 3/4*n**3 - 1/16*n**4. Factor p(y).
-3*(y - 5)*(y - 1)/4
Solve 132/7 - 334/7*h + 10/7*h**2 = 0 for h.
2/5, 33
Factor -3*c**3 + 10800 + 197898*c - c**3 - 169*c**2 - 59*c**2 - 200778*c.
-4*(c - 3)*(c + 30)**2
Let j(i) be the first derivative of -55/3*i**2 + 605/3*i + 5/9*i**3 - 61. Suppose j(r) = 0. Calculate r.
11
Let u(a) be the first derivative of -21*a**4/4 - 157*a**3 - 660*a**2 + 912*a + 2259. What is t in u(t) = 0?
-19, -4, 4/7
Let o(u) be the first derivative of -u**4/20 + 4*u**3/5 + 199*u**2/10 + 462*u/5 + 3349. What is p in o(p) = 0?
-7, -3, 22
Let d(k) be the second derivative of -k**4/42 + 692*k**3/21 - 691*k**2/7 - 2134*k. Determine t, given that d(t) = 0.
1, 691
Suppose -186 = -24*t - 7*t. Let f be t/(-16) + (-300)/(-96). Factor -1/4*y**3 - f*y + 3/2*y**2 + 3/2.
-(y - 3)*(y - 2)*(y - 1)/4
Let i(j) be the third derivative of -j**6/25 + 99*j**5/100 + 17*j**4/10 - 39*j**3/10 + 34*j**2 - 11. Find d such that i(d) = 0.
-1, 3/8, 13
Let h(z) be the first derivative of 31*z**5/60 - 127*z**4/36 + 68*z**3/9 - 2*z**2 - 210*z - 64. Let m(c) be the first derivative of h(c). Factor m(s).
(s - 2)**2*(31*s - 3)/3
Let x = -1196938 + 1196942. Suppose -2/5*k + 8/5 + 2/5*k**3 - 9/5*k**2 + 1/5*k**x = 0. Calculate k.
-4, -1, 1, 2
Find k, given that -5*k**3 + 78 + 385*k + 81*k**2 - 212*k**2 - 155 - 54*k**2 - 118 = 0.
-39, 1
Let q(o) be the third derivative of 0 - 11/4*o**4 + 7/30*o**5 - 1/180*o**6 - 121/9*o**3 + 31*o**2 + o. Find m, given that q(m) = 0.
-1, 11
Let z(q) = 3275*q + 258730. Let p be z(-79). Determine n so that -27*n**4 + 15/2*n**p - 21/2*n + 3*n**3 - 9 + 36*n**2 = 0.
-1, -2/5, 1, 3
Let x = -306/5885 + 6803/17655. Factor -1/3*m**3 + x*m**4 - m**2 + 5/3*m - 2/3.
(m - 1)**3*(m + 2)/3
Let l(r) be the first derivative of -2*r**5/15 + 17*r**4/3 - 64*r**3/9 - 34*r**2/3 + 22*r - 1757. Let l(s) = 0. What is s?
-1, 1, 33
Factor -10*l - 86*l**3 + 2*l**2 - 85*l**3 + 10*l + 169*l**3.
-2*l**2*(l - 1)
Factor -888*a**3 - 73290*a + 66591*a**2 + 12*a**4 - 56364*a - 9*a**4.
3*a*(a - 147)**2*(a - 2)
Let c = -304 - -306. Suppose -4*z = b - c*b + 10, 0 = 3*b - 5*z - 16. Solve -1 + 5*l - 7/2*l**3 - 17/4*l**b = 0 for l.
-2, 2/7, 1/2
Let j be (-22)/825*-5 - -1*(-10)/(-15). Factor -676/5*n - j*n**4 + 20*n**3 - 572/5*n**2 + 0.
-4*n*(n - 13)**2*(n + 1)/5
Let j = 73419/25 + -73414/25. Determine s so that 132/5*s + j*s**2 + 4356/5 = 0.
-66
Let l(q) be the third derivative of q**6/420 - 4*q**5/105 - q**4/84 + 8*q**3/21 - 25*q**2 + 10*q. Let l(z) = 0. Calculate z.
-1, 1, 8
Let o(b) be the first derivative of -8/5*b**5 - 126 - b**4 - 1/2*b**2 - 2*b + 5/6*b**6 + 10/3*b**3. Let o(l) = 0. Calculate l.
-1, -2/5, 1
Let b(p) = -p**2 + p + 2. Let h(i) = 9*i**2 + 356*i + 6472. Let q(g) = -14*g + 99. Let t be q(7). Let r(n) = t*h(n) + 4*b(n). Factor r(a).
5*(a + 36)**2
Let k(w) = -w**3 + 3*w**2 - 3*w - 2. Let x be k(3). Let u be (4/6)/(x/(-99)). Factor -26*s**2 - 9*s + 0*s - u + 23*s**2.
-3*(s + 1)*(s + 2)
Let s = -8/19421 - -58354906/128819493. Let m = s - 6/737. Factor -4/9 - m*a**3 + 4/9*a + 4/9*a**2.
-4*(a - 1)**2*(a + 1)/9
Let v(u) be the first derivative of u**4/6 - 32*u**3/3 + 256*u**2 + 53*u + 36. Let c(j) be the first derivative of v(j). Factor c(a).
2*(a - 16)**2
Let x be (0 - 0)*((-276)/456 - 14/(-133)). Suppose x - 6*c**3 + c - 3/2*c**2 - 7/2*c**4 = 0. What is c?
-1, 0, 2/7
Let q(b) be the first derivative of -207 + 7*b + 1/3*b**3 + 4*b**2. Factor q(p).
(p + 1)*(p + 7)
Let g be (-1581)/(-1054)*(-3)/(-6). Find j such that 5/4*j**3 + g*j**2 + 1 - 3*j = 0.
-2, 2/5, 1
Let -16*k + 256/3 - 4/3*k**2 = 0. Calculate k.
-16, 4
Let k = 1725505/5176524 - -1/1725508. Factor 0*j + k*j**5 + 0 + 2/3*j**4 - j**3 + 0*j**2.
j**3*(j - 1)*(j + 3)/3
Let u be (70 - 0) + (6/(-2) - -3). Factor -5*p**3 + 136*p**2 - u*p**2 - 61*p**2.
-5*p**2*(p - 1)
Let j(d) be the third derivative of d**5/300 - 161*d**4/120 + 79*d**3/5 - 1264*d**2 + 2. Factor j(k).
(k - 158)*(k - 3)/5
Determine j so that 2112*j - 28*j**3 + 576 - 776*j**2 + 65/4*j**4 + j**5 = 0.
-12, -1/4, 4
Factor -60236*a**2 - 56 + 60232*a**2 - 102 + 92*a + 68*a + 2.
-4*(a - 39)*(a - 1)
Let r(n) be the third derivative of -38/15*n**3 + 0*n + 2*n**2 + 2/3*n**4 - 23/300*n**5 + 0 + 1/600*n**6. Factor r(m).
(m - 19)*(m - 2)**2/5
Let c(g) = 3*g**2 - 13*g - 54. Let h = -143 - -147. Let n(w) = 3*w**2 - 15*w - 54. Let i(z) = h*n(z) - 3*c(z). Factor i(s).
3*(s - 9)*(s + 2)
Suppose 423*o - 207*o - 216*o - 4*o**3 + 1682*o**2 + 2838*o**2 = 0. What is o?
0, 1130
Let g(q) = -2*q**3 - 6*q**2 + 7*q + 5. Let u(m) = -9*m + 59. Let p be u(7). Let r be g(p). Factor -48 + 3/4*c**3 - r*c**2 + 36*c.
3*(c - 4)**3/4
Let 45/4 - 6*w - 3/4*w**4 + 6*w**3 - 21/2*w**2 = 0. Calculate w.
-1, 1, 3, 5
Let r(c) be the first derivative of c**6/3 + 8*c**5/5 - 53*c**4/2 - 136*c**3 + 252*c**2 + 572. Factor r(b).
2*b*(b - 7)*(b - 1)*(b + 6)**2
Let v be 16/12*3/(72/12436). Let o = v - 690. Factor 8*d + 10*d**2 + o.
2*(3*d + 2)*(15*d + 2)/9
Let v be 9*(-7)/((-504)/40). Factor -1330 - v*u**2 - 94*u + 3*u**2 + 1426.
-2*(u - 1)*(u + 48)
Suppose -5*i = -3*n + 16, -i + 0*i + 6 = 4*n. Let m be ((-12)/10*40/12)/i. Factor -10*j**3 - 160*j**4 + 155*j**4 - 10*j**3 - 25*j**m - 10*j.
-5*j*(j + 1)**2*(j + 2)
Let c(y) = y**3 + 26*y**2 + 152*y - 14. Let v be c(-17). Factor 0*r + r**v + 0 + 1/2*r**2 + 1/2*r**4.
r**2*(r + 1)**2/2
Let n(j) = j**3 + 3*j. Let m(h) = -28*h**3 - 100*h**2 - 100*h - 12. Let p(y) = -m(y) - 4*n(y). Factor p(t).
4*(t + 1)*(t + 3)*(6*t + 1)
Let h be (-378)/(-135) - ((-9)/(-5) + -2). Factor 24 + h*v**2 + 18*v + 11 - 11.
3*(v + 2)*(v + 4)
Let h(v) be the first derivative of v**4/2 - 6*v**3 - 130*v**2 + 576*v - 1471. Find u, given that h(u) = 0.
-9, 2, 16
Suppose -2*c = 2*f + 2, 0 = 15*f - 20*f + 4*c + 4. Let w(n) be the second derivative of 5/3*n**3 + 5/12*n**4 + f + 4*n + 5/2*n**2. Suppose w(v) = 0. What is v?
-1
Let f(p) = -12*p**2 + 2*p + 6. Let r(c) = -c**2 + 1. Let i(x) = -f(x) + 8*r(x). Let u be i(2). Suppose -9*s + 7*s**2 - 6*s**2 + u*s**2 = 0. Calculate s.
0, 3/5
Let g(a) be the first derivative of a**3/12 - 25*a**2/2 + 49*a - 599. Factor g(c).
(c - 98)*(c - 2)/4
Suppose -3 = -3*y, 19*y - 12 = o + 14*y. Let j be 72/(-10) - o - (-4)/10. Let 0 - 4/5*g**3 + j*g - 3/5*g**2 = 0. Calculate g.
-1, 0, 1/4
Suppose -334*t + 327*t + 84 = 0. Suppose 13 = 5*d + 5*p + 28, 4*d - 4*p - t = 0. Factor -2/5*g**3 + 2/15*g**5 + 0*g + d*g**4 + 0 + 4/15*g**2.
2*g**2*(g - 1)**2*(g + 2)/15
Factor -223 - c**2 + 70 - 251 - 105*c.
-(c + 4)*(c + 101)
Let m(p) be the first derivative of 63 - 9/22*p**4 + 4/33*p**3 + 9/11*p**2 - 4/11*p. Solve m(y) = 0.
-1, 2/9, 1
Solve -1/4*i**3 - i + 11/4*i**2 - 15 = 0.
-2, 3, 10
Let i(l) = 4*l + 29. Let j be i(13). Factor 158*m**2 + 28*m - j*m**2 - 26 - 81*m**2 + 2.
-4*(m - 6)*(m - 1)
Let h(n) be the first derivative of -n**7/105 + 2*n**6/75 + n**5/50 - n**4/15 - 24*n + 89. Let s(r) be the first derivative of h(r). Find k such that s(k) = 0.
-1, 0, 1, 2
Let h = 507280/7 + -72468. Let 2/7 + h*u**4 - 6/7*u**2 + 2/7*u**3 - 2/7*u = 0. What is u?
-1, 1/2, 1
Let j(i) be the third derivative of 0*i + 0 - 1/32*i**4 + 0*i**3 - 60*i**2 + 1/240*i**5. Factor j(p).
p*(p - 3)/4
Solve 129/2*s**2 - 3/2*s**4 + 3/2*s - 63 - 3/2*s**3 = 0 for s.
-7, -1, 1, 6
Factor -433/3*h**3 + 46655/3*h**2 + 1/3*h**4 + 47089/3*h + 0.
h*(h - 217)**2*(h + 1)/3
Suppose -14 = -r - 4*p, 0*p + 5*p = 4*p + 3. Factor 0 - 4*y + 1/2*y**3 - y**r.
y*(y - 4)*(y + 2)/2
Suppose 10 = 19*l - 66. Factor 10*c**2 - 68*c**3 - 2*c**4 - 74*c**2 + 2*c**4 - l*c**4.
-4*c**2*(c + 1)*(c + 16)
Let i be ((-32)/40)/((-6)/15). Factor 20*m**3 - 8*m - 19*m**3 + 14*m - 5*m**i.
m*(m - 3)*(m - 2)
Let b be -9 + 28/(-13) - -11 - 346/(-2080). Let p(f) be the third derivative of 0*f - b*f**5 + 1/2*f**3 + 2*f**2 + 0*f**4 + 0. Factor p(v).
-3*(v - 2)*(v + 2)/4
Let v(s) = -s - 7. Let h be v(2). Let t be (h - -3) + 2 + 7. Factor 2/21*a**2 - 2/21 - 2/21*a + 2/21*a**t.
2*(a - 1)*(a + 1)**2/21
Let q(w) be the second derivative of 4*w**7/147 + 369*w**6/35 - 289*w**5/70 - 3329*w**4/42 - 461*w**3/7 + 554*w**2/7 + 5384*w. Find p, given that q(p) = 0.
-277, -1, 1/4, 2
Factor 592 + 1020*r + 2348 - 4*r**2 - 579*r + 4*r**2 + 3*r**2.
3*(r + 7)*(r + 140)
Factor -254/3*v + 4 + 14*v**2.
2*(v - 6)*(21*v - 1)/3
Let o(z) be the first derivative of -21/2*z**2 + 