t(z) = -2*n(z) - 18*r(z). Factor t(p).
4*(p + 777)**2
Let v(c) be the third derivative of c**7/42 + 173*c**6/24 - 175*c**5/12 - 865*c**4/24 + 145*c**3 + 1339*c**2 - 2. Factor v(t).
5*(t - 1)**2*(t + 1)*(t + 174)
Find b, given that -13*b**4 - 2592*b + 750*b**2 - 2*b**3 + 15*b**3 + 16*b**4 + 1920 - 94*b**3 = 0.
1, 8, 10
Let a(w) be the third derivative of 2*w**2 - 13/6*w**4 + 0*w**3 - 1/15*w**5 - 12*w + 0. Factor a(h).
-4*h*(h + 13)
Let s(c) = -3*c**2 + 7*c. Let o(p) = -9*p**2 + 20*p + 3. Let r(z) = 2*o(z) - 7*s(z). Let r(n) = 0. Calculate n.
1, 2
Let k(h) be the third derivative of -h**6/540 - 104*h**5/135 + h**4/108 + 208*h**3/27 + 2561*h**2. Find n such that k(n) = 0.
-208, -1, 1
Let f = -68 - -72. Let -6*s**2 - 16*s**4 + 7*s + 9*s - 16*s**3 + 18*s**f + 4*s**2 = 0. What is s?
-1, 0, 1, 8
Factor -1918/5*f - 1/5*f**2 - 919681/5.
-(f + 959)**2/5
Solve -421/4*g**3 - 137/4*g**2 + 137/4*g**4 + 0 + 1/4*g**5 + 105*g = 0.
-140, -1, 0, 1, 3
Let c(z) be the third derivative of -2*z**7/105 + 110*z**6 - 272250*z**5 + 374343750*z**4 - 308833593750*z**3 - 7*z**2 - 95*z. Factor c(l).
-4*(l - 825)**4
Factor 362/3*r - 406/3 + 46/3*r**2 - 2/3*r**3.
-2*(r - 29)*(r - 1)*(r + 7)/3
Let h = -116198 + 1510576/13. Find o, given that -14/13*o**3 - 2*o + 30/13*o**2 + 8/13 + h*o**4 = 0.
1, 4
Let y(f) be the second derivative of 1/20*f**5 - f**3 + 0 - 6*f**2 + 15*f + 1/8*f**4. Let z(k) be the first derivative of y(k). Factor z(t).
3*(t - 1)*(t + 2)
Solve -588*m**2 - 2*m**3 - 510*m**2 - 2*m**3 - 1173*m**2 + 583*m**2 = 0 for m.
-422, 0
Let x be (-3)/(-5) + 7245/175. Let j be (6/(-3))/12 + 91/x. Suppose 6 - 4*o + 2/3*o**j = 0. What is o?
3
Let h be 4 + ((-114)/532 - (-304)/(-84)). Determine y so that 0 + 1/3*y + h*y**3 + 1/2*y**2 = 0.
-2, -1, 0
Let r(p) be the second derivative of -p**7/11340 - p**6/3240 - 5*p**4/2 - p**3/3 - 40*p + 1. Let t(i) be the third derivative of r(i). Factor t(y).
-2*y*(y + 1)/9
Let t(n) = n**3 + 3*n**2 - n + 14. Let g be t(-4). Factor 5*q + 3*q**2 + q**g - 5*q**2 + 2*q**2.
q*(q + 5)
Let p(j) be the first derivative of -j**6/30 - 3*j**5/4 - 13*j**4/4 - 37*j**3/6 - 6*j**2 + 42*j - 70. Let a(w) be the first derivative of p(w). Solve a(v) = 0.
-12, -1
Let u(q) = 11*q**2 - 381*q - 380. Let w(v) = 10*v**2 - 380*v - 380. Let x(j) = -5*u(j) + 6*w(j). Factor x(a).
5*(a - 76)*(a + 1)
Let a be ((-3)/2)/1*-2. Suppose a*j - 2*y = 2 - 4, 3*j = 5*y - 5. Factor 21*s + j*s + 5*s**2 - s.
5*s*(s + 4)
Let o(x) be the first derivative of x**3 - 33*x**2 + 336*x + 1409. Factor o(y).
3*(y - 14)*(y - 8)
Let d(j) be the second derivative of -5*j**6/54 - 28*j**5/9 - 373*j**4/54 - 116*j**3/27 - 7*j**2/6 + 2039*j. Solve d(b) = 0 for b.
-21, -1, -1/5
Find j, given that 1/12*j**5 + 203*j**3 - 6076/3*j**2 + 5488/3*j + 0 - 85/12*j**4 = 0.
0, 1, 28
Let h(g) = -2*g**3 + 3*g**2 + 8*g - 12. Let s be h(2). Let y(w) be the first derivative of -4/15*w**3 + 1/10*w**4 + 0*w**2 + 11 + 2/25*w**5 + s*w. Factor y(l).
2*l**2*(l - 1)*(l + 2)/5
Let z(c) = -c**4 + 105*c**3 + 263*c**2 + 372*c + 160. Let v(o) = o**4 - 9*o**3 + o**2. Let m(r) = 5*v(r) + z(r). Find n such that m(n) = 0.
-8, -5, -1
Let n = 2203 + -2203. Let a = 11/2 - 5. Find y, given that n + 0*y**2 + 0*y + 1/4*y**3 + a*y**4 + 1/4*y**5 = 0.
-1, 0
Let c(h) = -5*h**2 + 11*h - 6. Let f = 7 + -13. Let a(g) = -20*g**2 + 45*g - 25. Let n(s) = f*a(s) + 25*c(s). Solve n(j) = 0.
0, 1
Let w(k) be the first derivative of -17*k**4/4 - 127*k**3 - 3417*k**2 + 7220*k - 192. Let c(y) = -2*y**3 - y**2 + y. Let j(v) = 6*c(v) - w(v). Factor j(s).
5*(s - 1)*(s + 38)**2
Let n(k) = -59*k**3 + 60*k**2 + 100*k. Let f(x) = -185*x**3 + 180*x**2 + 300*x. Let j(m) = -8*f(m) + 25*n(m). Factor j(t).
5*t*(t + 2)*(t + 10)
Suppose -2*t - 18 = -5*l, -27*l = -24*l + 12*t + 108. Factor 81/2*a**4 + l*a - 1599/2*a**3 + 0 - 1681/2*a**2 - 1/2*a**5.
-a**2*(a - 41)**2*(a + 1)/2
Let q be 93*(-30)/(-20)*(-4)/(-6). Suppose 0 = 2*a + 3*k - q, -2*k - 64 = -5*a + 4*a. Factor 119 + 3*f**2 + a*f + 66 + 58.
3*(f + 9)**2
Let y = 289069 + -289066. Factor 2/11*t**y + 126/11*t - 30/11*t**2 - 98/11.
2*(t - 7)**2*(t - 1)/11
Let c(v) = 5*v**3 + 50*v**2 + 120*v - 23. Let s be c(-5). Let k be (1 + -3 + 2)/2. Solve -2/7*z**5 + 4/7*z**s + k*z - 10/7*z**3 + 8/7*z**4 + 0 = 0 for z.
0, 1, 2
Let k(f) be the second derivative of f**7/21 - 2*f**6/15 + f**5/10 + 114*f**2 + 8*f - 10. Let s(j) be the first derivative of k(j). Factor s(t).
2*t**2*(t - 1)*(5*t - 3)
Let g(a) be the first derivative of -a**4/36 - a**3/9 - a**2/6 + 29*a + 41. Let v(c) be the first derivative of g(c). Determine j so that v(j) = 0.
-1
Let f(c) be the second derivative of 0*c**2 + 0*c**3 + 0*c**4 - 1/168*c**7 + 0 - 7/80*c**5 - 1/15*c**6 + 88*c. Factor f(h).
-h**3*(h + 1)*(h + 7)/4
Let x be 1/(3/5 + (-88)/55). Let w = 1 - x. Factor -y**3 + y**2 - 5*y**4 + w + 6*y**4 - 4*y**2 + y.
(y - 2)*(y - 1)*(y + 1)**2
Let i(c) be the second derivative of c**4/3 - 50*c**3/3 + 252*c**2 + 761*c. Suppose i(n) = 0. Calculate n.
7, 18
Let y = -14568 + 14570. Let u(l) = -10*l - 3. Let j be u(-3). Factor 60*n - j*n**y - 21*n**2 - 15*n + 28*n**2.
-5*n*(4*n - 9)
Let h be (-27)/(-12) + -2 - 2259/9180. Let m(w) be the third derivative of 0 - h*w**5 + 0*w + 5*w**2 - 1/51*w**3 + 1/68*w**4. Let m(i) = 0. What is i?
1/2, 1
Suppose g = o + 2*o + 9, 2*g + 15 = -5*o. Determine l so that -7*l**4 + 3*l**4 + g*l**3 + 2*l**2 - 2*l**3 + 2*l - l**4 + 3*l**4 = 0.
-1, 0, 1
Factor -9672/11*n - 12168/11 - 1922/11*n**2.
-2*(31*n + 78)**2/11
Let -3807 + 2145*h**2 - 132*h**4 - 118*h**3 - 106*h + 134*h**4 - 6993 + 2626*h - 477*h**2 = 0. What is h?
-3, 2, 30
Let l(y) be the second derivative of -13*y + 0*y**2 - 1/360*y**6 + 9/2*y**3 - 1/36*y**4 + 0 + 1/72*y**5. Let k(u) be the second derivative of l(u). Factor k(f).
-(f - 1)*(3*f - 2)/3
Suppose -414 - 3/4*b**3 + 414*b**2 + 3/4*b = 0. Calculate b.
-1, 1, 552
Factor -525/2*m - 3/2*m**3 + 75/2*m**2 + 1125/2.
-3*(m - 15)*(m - 5)**2/2
Let y(v) = -3*v + 31. Let a be y(10). Suppose a = -3*c + 5*i + 7, 3*i - 4 = -2*c. Factor -10*u**4 - 4*u**2 + 14*u**c + 5*u - 5*u**5 + 0*u**4.
-5*u*(u - 1)*(u + 1)**3
Let f = 1483/1112 + -1/3336. Let y(o) be the second derivative of 0 - 8*o**2 - f*o**4 + 37*o - 34/3*o**3. Factor y(r).
-4*(r + 4)*(4*r + 1)
Let k(b) be the second derivative of b**4/18 - 20*b**3/3 + 416*b**2/3 + 254*b. Factor k(a).
2*(a - 52)*(a - 8)/3
Let m = -351 + 353. Let -2205 + 12045*k - 3*k**2 - m*k**2 - 11835*k = 0. What is k?
21
Let j(k) be the third derivative of -k**6/84 - 3*k**5/10 + 13*k**4/42 + 1252*k**2. Let j(t) = 0. What is t?
-13, 0, 2/5
Suppose 809*z = 799*z + 9520. Let n = z + -3807/4. Factor -n + 1/4*d**2 + 0*d.
(d - 1)*(d + 1)/4
Let b = 926 + -1561. Let m = b + 637. Find s, given that 2/9*s**m + 0 - 8/9*s = 0.
0, 4
Let w(r) be the third derivative of -r**6/24 - 3125*r**5/4 - 48828125*r**4/8 - 152587890625*r**3/6 + 1921*r**2. Find m such that w(m) = 0.
-3125
Let t(m) = 22*m - 4. Let r be t(6). Suppose 18*v = 33 + 3. Solve -r + 126 - a + 6*a + 7*a**v = 0 for a.
-1, 2/7
Let h be 2/(-5) + (-6 + 84/15)/(385/(-2660)). Find v, given that -h*v + 2/11*v**3 - 20/11 - 4/11*v**2 = 0.
-2, -1, 5
Suppose 3 = -21*m + 24*m. Let z = 4 - m. Factor 2*f**z - 32*f**3 - 103*f + 14*f**2 + 101*f + 18*f**4.
2*f*(f - 1)*(3*f - 1)**2
Determine i so that 14/3*i**3 - 40*i**2 - 224/3*i + 2/3*i**4 + 1408/3 = 0.
-11, -4, 4
Let n(s) = s**3 + 53*s**2 + 54*s + 100. Let g be n(-52). Let o be (g/(-16))/((-20)/(-240)). Factor -6/7*c - 2/7*c**o - 6/7*c**2 - 2/7.
-2*(c + 1)**3/7
Factor -25/3*z**3 + 1/3*z**4 + 25/3*z - 1/3*z**2 + 0.
z*(z - 25)*(z - 1)*(z + 1)/3
Let 0*x + 0*x + 76069*x**2 - 76041*x**2 - 144 + 4*x**3 = 0. What is x?
-6, -3, 2
Suppose 111 = 3007*m - 2970*m. Determine k, given that 1/7*k**5 + 5/7*k**4 + 0 + 4/7*k**2 + 0*k + 8/7*k**m = 0.
-2, -1, 0
Let v(n) be the third derivative of -n**6/30 + 2*n**5/15 + 35*n**4/6 + n**2 + 1308*n. Factor v(q).
-4*q*(q - 7)*(q + 5)
Let n(q) = 16*q**2 + 79*q - 16. Let z be (-3)/(3 + 36/(-8)). Let o(y) = -236*y + 4 - 47*y**2 + 15 - z*y**2 + 30. Let w(d) = 11*n(d) + 4*o(d). Factor w(r).
-5*(r + 4)*(4*r - 1)
Find l such that 0 + 3/4*l**3 - 261/4*l**2 + 129/2*l = 0.
0, 1, 86
Let t(r) be the third derivative of 0*r + 0 + 17/21*r**3 + 1/140*r**5 + 42*r**2 - 53/168*r**4. Factor t(m).
(m - 17)*(3*m - 2)/7
Let w(h)