rd derivative of 13*b**5/60 + b**4/8 + b**3/3 + 6*b**2. Let n be l(-1). Find j such that 5*j**3 - 21*j + 13*j - 9*j**3 + n*j**2 = 0.
0, 1, 2
Let i(a) be the first derivative of 26 + 8*a**2 - 3*a**4 + 0*a + 0*a**3 - 4/5*a**5. Factor i(d).
-4*d*(d - 1)*(d + 2)**2
Let t(d) = -3*d**2 + 46*d - 28. Let g be t(20). Let l be g/(-66)*(-2)/(-7). Factor 2/15*k**2 + 10/3 - l*k.
2*(k - 5)**2/15
Suppose 0 = -129*d - 490*d + 8666. Find x, given that -2/9*x**2 + 124/9*x + d = 0.
-1, 63
Let h(b) be the first derivative of 5*b**4/4 - 5*b**3 - 1260*b**2 - 19440*b + 3607. Factor h(k).
5*(k - 27)*(k + 12)**2
Let i be ((-80)/6)/2*(-627)/(-22). Let p be (-4)/(-8) - 5/(i/(-7)). Determine t, given that 4/19 + 2/19*t**2 + p*t = 0.
-2, -1
Let f = 219 - 110. Suppose -25 = -v + r, 2*r = 4*v + r - f. What is y in 5*y**4 + 20*y + 8*y**3 + 5*y**3 - v*y**2 - 3*y**3 - 7*y**2 = 0?
-4, 0, 1
Let c(h) = -2*h**2 + 14. Let m be c(0). Suppose -3*p + m = 8. Factor -10*l**2 + 11*l**p + 4*l + 0*l - 3*l.
l*(l + 1)
Let t(p) = 43 + 2*p**2 + 38 - p - 84. Let w be t(-2). Find b, given that -30*b**2 + 2 - w*b**4 + 24*b**4 - 4*b**3 - 7*b**4 + 32*b - 10 = 0.
-2, 2/5, 1
Let a = 1 + 7. Find p such that -52*p**4 - 16 - 128*p**3 - a*p**5 - 285*p**2 - 42*p + 137*p**2 - 38*p = 0.
-2, -1, -1/2
Let t(l) be the second derivative of -1/20*l**5 - 5/36*l**4 + 5*l + 13/9*l**3 + 1 - 4/3*l**2. Factor t(b).
-(b - 2)*(b + 4)*(3*b - 1)/3
Let k(a) be the first derivative of a**3/3 + 305*a**2/2 - 326. Factor k(w).
w*(w + 305)
Factor -1/4*h**3 + 12*h**2 - 93/4*h + 23/2.
-(h - 46)*(h - 1)**2/4
Let 13*x - 13*x + 6315*x**2 - 6247*x**2 - 4*x**3 = 0. Calculate x.
0, 17
Let h(u) be the first derivative of u**6/6 - 8*u**5/5 + 2*u**4 + 32*u**3/3 - 24*u**2 - 5200. Solve h(m) = 0 for m.
-2, 0, 2, 6
Let l(f) be the second derivative of f**5/120 - 7*f**4/72 + 2*f**3/9 - 57*f**2/2 - 33*f. Let k(s) be the first derivative of l(s). Factor k(n).
(n - 4)*(3*n - 2)/6
Let f(d) be the second derivative of -d**7/42 + 6*d**6/5 - 61*d**5/5 - 120*d**4 - 800*d**3/3 - 923*d. Factor f(l).
-l*(l - 20)**2*(l + 2)**2
Let a(v) = -v + 1. Let w = -356 - -341. Let k(y) = -y**4 + y**3 + 6*y**2 - 3*y + 3. Let h(n) = w*a(n) + 5*k(n). Factor h(z).
-5*z**2*(z - 3)*(z + 2)
Let j(h) be the first derivative of h**4/96 + 3*h**3/16 - 63*h + 63. Let m(o) be the first derivative of j(o). Let m(n) = 0. What is n?
-9, 0
Let g be (-12)/18*(3 + -18). Factor -7*q - g*q + 2*q**2 + 15*q - q**3 + 3*q + 7*q.
-q*(q - 4)*(q + 2)
Let z(h) be the second derivative of 2/3*h**3 + 4*h**2 - 1/20*h**5 + 0 - 71*h - 1/6*h**4. Factor z(k).
-(k - 2)*(k + 2)**2
Let k(j) = 5*j**2 + 14*j + 67. Let h be k(-6). Let x = 163 - h. Factor 0*f + 1/3*f**2 + 0*f**3 + x - 1/3*f**4.
-f**2*(f - 1)*(f + 1)/3
Let i be (-12 - (-2 + -3)) + 2. Let v be (-1)/(-1) + 5 + i. Determine a, given that 4*a + 24*a - v - 15 - 12*a - 4*a**2 = 0.
2
Let u(b) be the first derivative of 3*b**4/4 + 166*b**3 + 10080*b**2 - 42336*b - 769. Determine n, given that u(n) = 0.
-84, 2
Let x(k) = -k**3 - k**2 - 2*k + 2. Let a be x(0). Factor -23 + 162*p**3 - 157*p**3 + 5*p - 7 + 20*p**a.
5*(p - 1)*(p + 2)*(p + 3)
Let g be 224/36 + 10/75*(-80)/(-24). Let l(m) be the first derivative of 8/3*m**6 - g*m**3 + 4*m**2 - 4/5*m**5 - 26 + 0*m - 12*m**4. What is b in l(b) = 0?
-1, 0, 1/4, 2
Let x(q) be the third derivative of -q**8/2856 + 2*q**7/595 - 3*q**6/340 - 2*q**5/255 + q**4/17 + 2*q**2 - 2199. What is g in x(g) = 0?
-1, 0, 2, 3
Suppose 0 = -3*n - 183 + 186, 4*v - 48 = 4*n. Let z(y) be the first derivative of 1/2*y**3 - 9/8*y**2 - v + 0*y. Factor z(h).
3*h*(2*h - 3)/4
Let p(g) be the first derivative of g**7/30 + 11*g**6/30 + 47*g**5/60 + 5*g**4/12 - 27*g**2 + 50. Let l(c) be the second derivative of p(c). Factor l(n).
n*(n + 1)*(n + 5)*(7*n + 2)
Let c(z) = 2*z**2 - 46*z - 51. Let m be c(26). Let j be 15/78*84/m. Factor -10/13*r**2 + 6/13*r + 18/13 + j*r**3.
2*(r - 3)**2*(r + 1)/13
Let m(d) be the third derivative of 13 - 3*d**4 - 1/70*d**7 + 0*d - 3*d**2 + 0*d**3 + 1/4*d**6 - 13/20*d**5. Factor m(p).
-3*p*(p - 8)*(p - 3)*(p + 1)
Let i(w) = -9*w**3 + 42*w**2 - 228*w + 6. Let d(m) = -16*m**3 + 89*m**2 - 458*m + 10. Let v(c) = 3*d(c) - 5*i(c). Factor v(a).
-3*a*(a - 13)*(a - 6)
Let u(n) be the second derivative of 5*n**4/12 + 620*n**3/3 - 1250*n**2 + 172*n - 3. Determine w so that u(w) = 0.
-250, 2
Let f(x) be the third derivative of -x**6/360 - 61*x**5/180 - 115*x**4/72 + 59*x**3/6 + 3866*x**2. Solve f(b) = 0.
-59, -3, 1
Suppose 435*o - 436*o + 1 = 0, -2*b + 54 = -2*o. Let d be b/(17/((-136)/(-240))). Factor d*g - 2/3*g**2 - 2/5 + 2/15*g**3.
2*(g - 3)*(g - 1)**2/15
Let o(v) = 18*v - 234. Let u be o(13). Factor -3 + 16*d - 6 - 4 + u*d**2 - 5 + 2*d**2.
2*(d - 1)*(d + 9)
Let j(l) be the second derivative of -l**6/20 + 7*l**5/10 + 149*l**4/24 - 35*l**3/6 - 26*l**2 - 1944*l. Suppose j(r) = 0. Calculate r.
-4, -2/3, 1, 13
Let o(y) be the first derivative of 2*y**3/15 - 4304*y**2/5 + 9262208*y/5 - 4647. What is g in o(g) = 0?
2152
Solve 1584*b**2 + 147136/7*b + 260/7*b**3 - 340736/7 + 2/7*b**4 = 0.
-44, 2
Let m(h) be the third derivative of 25*h**8/336 + 11*h**7/21 - 5*h**6/24 - 23*h**5/6 + 5*h**4 + h**2 + 67*h - 7. Determine q so that m(q) = 0.
-4, -2, 0, 3/5, 1
Let o(j) be the second derivative of -65*j + 0 - 2/15*j**3 + 1/6*j**4 + 7/50*j**5 + 0*j**2. Find d such that o(d) = 0.
-1, 0, 2/7
Let l(s) be the second derivative of 0 - 1/50*s**5 + 40*s**2 + 10*s - 3/5*s**4 - 4*s**3. Suppose l(b) = 0. Calculate b.
-10, 2
Suppose 5/4*j**2 + 24046245/4 + 10965/2*j = 0. Calculate j.
-2193
Suppose 0 = -5*v + 14*v - 45. Let c(q) = -q**3 + q**2 - 1. Let l(x) = 8*x**3 - 13*x**2 + 9*x + 3. Let a(z) = v*l(z) + 35*c(z). Solve a(k) = 0.
1, 4
Let j(w) be the second derivative of -w**5/5 + 1352*w**4 - 3655808*w**3 + 4942652416*w**2 + 3329*w. Suppose j(y) = 0. Calculate y.
1352
Let o(h) = -76*h**2 - 1370*h - 14. Let p be o(-18). Let w(u) be the second derivative of 0 + p*u - 1/6*u**4 + 2*u**2 + 1/3*u**3. Factor w(d).
-2*(d - 2)*(d + 1)
Let t(g) be the second derivative of 0*g**2 - 28*g + 3/26*g**5 - 10/39*g**3 - 19/195*g**6 + 1/91*g**7 - 1 + 9/26*g**4. Determine p so that t(p) = 0.
-1, 0, 1/3, 2, 5
Let u(x) be the first derivative of 63 - 2/5*x**5 - 19/7*x**2 + 19/14*x**4 + 26/21*x**3 - 12/7*x. Determine v, given that u(v) = 0.
-1, -2/7, 1, 3
Let p(y) = 3*y**3 - 370*y**2 + 371*y + 4. Let z(n) = -12*n**3 + 1485*n**2 - 1488*n - 15. Let c(t) = 15*p(t) + 4*z(t). Find a such that c(a) = 0.
0, 1, 129
Let k(c) be the second derivative of 1/20*c**5 - 108*c + 0 + 31/3*c**3 - 23/12*c**4 - 20*c**2. Factor k(d).
(d - 20)*(d - 2)*(d - 1)
Let y be (1*-1)/((-355)/710). Let h(i) be the second derivative of 0 + 1/30*i**4 + 36/5*i**y + 12*i - 4/5*i**3. Factor h(r).
2*(r - 6)**2/5
Suppose 4*t = -168 - 80. Let m = t - -62. Factor -5*v**2 - 6 + 0 + m*v**2 - 10*v + 1.
-5*(v + 1)**2
Let m = 156208 + -156203. Let -3/2*p**4 + 3/2*p**m + 0 - 9/2*p**3 + 15/2*p**2 - 3*p = 0. What is p?
-2, 0, 1
Let n be -2*2/6*(-6)/2. Solve 27*c + 33*c - 365 + c**n + 815 + c**2 = 0.
-15
Let x(y) be the second derivative of 1/2*y**3 + 3/2*y**2 - 3/20*y**5 - 3 - 1/4*y**4 - 8*y. Factor x(v).
-3*(v - 1)*(v + 1)**2
Factor 1/10*v**2 + 271441/10 + 521/5*v.
(v + 521)**2/10
Let k(j) be the first derivative of -3*j**5/25 + 12*j**4/5 - 49*j**3/5 - 99*j**2/5 - 3264. Suppose k(c) = 0. Calculate c.
-1, 0, 6, 11
Let f(h) be the third derivative of -163*h**5/240 + 491*h**4/96 - h**3/4 + 2126*h**2. Factor f(n).
-(n - 3)*(163*n - 2)/4
Let a = -215 + 285. What is f in 12*f**2 - a*f**4 - 67*f**4 - 8*f + 133*f**4 = 0?
-2, 0, 1
Let y(w) = 2*w**3 + 39*w**2 + 172*w - 17. Let i be y(-7). Factor -i*r**2 + 4/3*r + 8/3.
-4*(r - 1)*(3*r + 2)/3
Let n(h) be the second derivative of -49*h**6/10 - 546*h**5/5 - 1107*h**4/2 - 756*h**3 - 891*h**2/2 + 3862*h. Find q, given that n(q) = 0.
-11, -3, -3/7
Let h(v) be the second derivative of -v**7/105 - 7*v**6/120 + v**5/12 + v**4/6 + 155*v**2/2 + 4*v + 6. Let d(m) be the first derivative of h(m). Factor d(y).
-y*(y - 1)*(y + 4)*(2*y + 1)
Let n(t) be the third derivative of 1/525*t**7 + 0 - 2*t - 1/120*t**4 + 0*t**3 - 3*t**2 + 1/1680*t**8 - 1/150*t**5 + 0*t**6. Let n(v) = 0. Calculate v.
-1, 0, 1
Find l, given that -496/3*l + 284*l**2 + 2/3*l**5 + 16*l**4 + 0 - 406/3*l**3 = 0.
-31, 0, 1