be the first derivative of -3*b**4/20 - 346*b**3/5 + 417*b**2/2 - 1044*b/5 + 9431. Solve w(v) = 0.
-348, 1
Let u(d) be the first derivative of d**4/16 - 17*d**3/6 - 37*d**2/8 + 35*d/2 - 1406. Factor u(w).
(w - 35)*(w - 1)*(w + 2)/4
Let g be (-3)/(-3 + -1 - 14/(-4)). Find q, given that 29*q**5 - 3*q + 2*q**3 + 4*q**3 + 6*q**4 - 12*q**2 - 32*q**5 + g = 0.
-1, 1, 2
Factor 26*y + 1/4*y**2 + 0.
y*(y + 104)/4
Suppose 5*z - l - 22 = 0, -2*z - z + 16 = -2*l. Suppose 50 = z*p - 4*j - 14, 8 = -4*j. Factor -26*g + p*g - 2 + 18 - 4*g**2.
-4*(g - 1)*(g + 4)
Let c(t) = 211*t - 2954. Let h be c(14). Let j(a) be the first derivative of -a**2 + 0*a**3 + 1/8*a**4 + h*a - 28. Factor j(o).
o*(o - 2)*(o + 2)/2
Let -608/3*h - 2/3*h**2 + 610/3 = 0. What is h?
-305, 1
Let p be ((-5510)/4959)/((1/(-12))/(4/56)). Suppose -8/7 - p*w**2 - 46/21*w + 2/21*w**3 = 0. What is w?
-1, 12
Let v be 704/16*170/4675. Let o = 2/299 + 3578/1495. Let 4/5*c**2 - o*c + v = 0. Calculate c.
1, 2
Let m(h) = -h**2 + 13*h - 12. Suppose 4*r = 2*i - 10, 3*r + 9 = 3. Let y(n) = -n**2 + n. Let z(w) = i*m(w) - 2*y(w). Factor z(p).
(p - 1)*(p + 12)
Let z(s) be the third derivative of s**11/498960 - s**10/68040 + s**9/90720 + 8*s**5/15 + 12*s**2 + s. Let k(c) be the third derivative of z(c). Solve k(g) = 0.
0, 1/3, 3
Let p(c) be the first derivative of -2*c**3/3 - 1570*c**2 - 1232450*c + 4442. Factor p(m).
-2*(m + 785)**2
Let m(q) = 19*q**2 + 80*q + 121. Suppose 13*s - 18 = 10*s. Let o(y) = 3*y**2 + 13*y + 20. Let l(d) = s*m(d) - 39*o(d). Solve l(u) = 0 for u.
-6, -3
Let h(o) be the third derivative of -13/12*o**4 + 0*o + 7/60*o**5 - 4/3*o**3 - o**2 + 7. Determine t, given that h(t) = 0.
-2/7, 4
Let y(l) = -14*l**3 - 6 - l**2 - l + 2*l + 5 + 13*l**3. Let j(a) = -4*a**3 - 14*a**2 + 13*a - 5. Let c(r) = j(r) - 5*y(r). Factor c(z).
z*(z - 8)*(z - 1)
Let k = 229493 + -229489. What is f in -20 - 115/3*f**2 + 5/3*f**5 + 5*f**3 + 35/3*f**k - 160/3*f = 0?
-6, -1, 2
Suppose -24*n + 73 = -23. Let b be (106/8)/(1/4). Find a such that -55*a - a**n + 3*a**2 + b*a + a**3 - a**3 = 0.
-2, 0, 1
Let 16*b - 39*b**3 + 72*b**3 - 4*b**2 + 16 - 37*b**3 = 0. What is b?
-2, -1, 2
Let c(z) be the second derivative of -z**6/10 + 69*z**5/10 + z**4/4 - 23*z**3 + 2650*z. Factor c(v).
-3*v*(v - 46)*(v - 1)*(v + 1)
Factor -93304/5*k - 2/5*k**3 - 183184/5 - 172*k**2.
-2*(k + 2)*(k + 214)**2/5
Let z = -62479 - -62482. Suppose -23*d**2 - 29/2*d**3 - 63/4*d - 4 - z*d**4 + 1/4*d**5 = 0. What is d?
-1, 16
Suppose 26*d**4 - 9*d - 9*d**3 + 56*d**3 + d**2 - 42*d**4 + 35*d**4 - 21*d**5 + 3*d = 0. Calculate d.
-1, -3/7, 0, 1/3, 2
Let j = 70435 + -70435. Let t be -2 + ((-15)/(-6) - -2). Let -2*n**4 - n**2 + 1/2*n**5 + 0 + t*n**3 + j*n = 0. What is n?
0, 1, 2
Suppose -295 = 4*v - 25*j + 30*j, -4*v = j + 299. Let u be (36/42)/(v/(-210)). Determine b, given that 0 + u*b**2 - 9/5*b - 3/5*b**3 = 0.
0, 1, 3
Determine h, given that -144 + 70218049*h + 2*h**3 + 16*h**2 - 2*h**2 - 70218061*h = 0.
-6, -4, 3
Suppose 0 = -0*w - 4*w - 3*n - 2, -2*w = 2*n + 2. Let x(o) = 702*o**2 - 2*o + 3. Let f be x(w). Factor -5*m**2 - 643*m - m**2 + f*m + m**2 - 55.
-5*(m - 11)*(m - 1)
Let r(l) = 13*l**3 - 70*l**2 + 51*l - 34. Let u(z) = 17*z**3 - 92*z**2 + 68*z - 45. Let h(k) = 13*r(k) - 10*u(k). Find j such that h(j) = 0.
1, 8
Suppose 4*u + 4*l + 37 - 81 = 0, 28 = 4*u - 4*l. Let o be (u - (-27)/(-3))/(-7). Factor 3/4*r**5 + 0*r + o + 3*r**4 + 0*r**3 + 0*r**2.
3*r**4*(r + 4)/4
Let q(a) be the first derivative of -a**7/840 - a**6/30 - 7*a**5/40 - 5*a**4/12 - 47*a**3 + 117. Let h(u) be the third derivative of q(u). Factor h(c).
-(c + 1)**2*(c + 10)
Let m(p) be the first derivative of 2*p**3/9 - 5*p**2/2 + 6*p + 8966. Factor m(w).
(w - 6)*(2*w - 3)/3
Determine i, given that -1455*i**3 + 138720*i - 21864*i**2 + 669299 - 5*i**5 + 195*i**4 + 215041 + 3589*i**2 = 0.
-6, 17
Let s be ((-36)/20)/(54/180). Let p be -1*(s - (-198)/30) - -1. Find h such that -p*h**3 + 6/5 + 2/5*h**2 + 2*h = 0.
-1, 3
Let k(a) be the first derivative of a**7/168 - 17*a**6/72 + 21*a**5/8 + 135*a**4/8 + 46*a**3 - 72. Let r(w) be the third derivative of k(w). Factor r(s).
5*(s - 9)**2*(s + 1)
Let i be ((-2576)/2464)/(69/(-12)). Factor -8/11 - 2/11*n**3 + i*n**2 + 8/11*n.
-2*(n - 2)*(n - 1)*(n + 2)/11
Suppose 179*j + 93 = 210*j. Let d(x) be the first derivative of -1/15*x**j - 4/5*x**2 - 16/5*x - 13. Factor d(f).
-(f + 4)**2/5
Suppose 92657*b - 32 = 92649*b. Solve -2/5*v**b + 0 - 22/5*v**2 - 12/5*v - 12/5*v**3 = 0.
-3, -2, -1, 0
Find c such that 4*c**4 + 2674*c + 192336*c**3 - 1090*c - 192184*c**3 - 1020*c**2 = 0.
-44, 0, 3
Let x(r) be the first derivative of 3*r**5/5 - 459*r**4/4 - r**3 + 459*r**2/2 - 4277. Find k, given that x(k) = 0.
-1, 0, 1, 153
Let a(b) be the third derivative of 0*b - 4/51*b**3 + 0 + 1/255*b**6 - 45*b**2 - 1/51*b**4 + 1/170*b**5 + 1/1785*b**7. Find c such that a(c) = 0.
-2, -1, 1
Let j(w) = -12*w**4 + 1297*w**2 + 2560*w + 1268. Let r(v) = v**4 - v**2 + 1. Let h(g) = j(g) + 7*r(g). Suppose h(n) = 0. Calculate n.
-15, -1, 17
Let r(b) = 2*b**2 + b + 27. Let z(k) = -126*k - 294. Let d(j) = 2*r(j) - z(j). Factor d(w).
4*(w + 3)*(w + 29)
Let d(a) be the first derivative of 1/9*a**4 - 130 - 68/27*a**3 + 160/9*a**2 - 256/9*a. Suppose d(h) = 0. Calculate h.
1, 8
Let d(x) be the first derivative of -x**4/9 - 4*x**3/27 + 16*x**2/9 + 16*x/3 + 4299. Find w, given that d(w) = 0.
-2, 3
Let b(s) be the third derivative of -1/180*s**6 + 7/45*s**5 + 20*s - s**2 + 0 - 19/12*s**4 + 8*s**3. Let b(r) = 0. Calculate r.
3, 8
Let m(t) be the second derivative of -t**6/6 + 7*t**5/4 + 65*t**4/4 + 265*t**3/6 + 55*t**2 + 937*t. Determine r so that m(r) = 0.
-2, -1, 11
Find t such that 4*t**3 + 66*t - 4*t**2 - 86*t - 8*t**2 + 20*t**2 - 24 = 0.
-3, -1, 2
Determine k, given that 295*k**3 + 4*k**5 + 11*k**4 + 20*k**2 - 562*k**3 + 311*k**3 + 17*k**4 = 0.
-5, -1, 0
Let d be (8 + (-406)/49)*3332/(-357). Solve 8/3*a - 92/3*a**2 + 2*a**5 + d*a**4 - 50/3*a**3 + 16 = 0 for a.
-2, -1, 2/3, 3
Let k(n) be the second derivative of 2 + 1/14*n**7 + 6049/2*n**4 - 36501/2*n**2 + 2379/10*n**5 - 1587/2*n**3 - 91*n + 69/10*n**6. Factor k(a).
3*(a - 1)*(a + 1)*(a + 23)**3
Let 0*k + 0 + 2/3*k**5 - 9826/3*k**2 + 578*k**3 - 34*k**4 = 0. Calculate k.
0, 17
Let h(l) be the first derivative of -112*l**5/25 + 83*l**4/5 + 4*l**3/5 - 2026. Solve h(j) = 0 for j.
-1/28, 0, 3
Let d(r) be the second derivative of -7/25*r**6 - 151/30*r**4 + 59/25*r**5 + 0 + 62/15*r**3 - 8/5*r**2 - 99*r. Solve d(k) = 0.
2/7, 1/3, 1, 4
Factor -21*k**4 + 21*k**3 + 12*k**2 + 78*k**2 - 19*k**4 + 45*k**4 + 80*k + 19*k**3 + 25.
5*(k + 1)**3*(k + 5)
Let x be (-8)/(-9) - 7/(-63). Let b be x/1*(0 - 2) + 46. Find y, given that 2*y**3 - 124*y**2 + 2 + b*y**2 - 2*y + 39*y**2 + 39*y**2 = 0.
-1, 1
Suppose 7*o - 9*o = 0. Suppose o = -12*i + 6*i + 54. Factor 9*w**3 - i*w + 3*w**2 - 5*w**3 - 6 + 5*w**3 + 3*w**2.
3*(w - 1)*(w + 1)*(3*w + 2)
Factor 3*a**3 - 28*a**2 - 185 - 185 + 577 - 195 + 3*a**3 + 26*a.
2*(a - 3)*(a - 2)*(3*a + 1)
Suppose -52*t - t - 11*t = 0. Let k(z) be the second derivative of 0*z**2 + 0 - 7*z + 0*z**3 + 0*z**4 - 1/60*z**6 + 1/84*z**7 + t*z**5. Factor k(r).
r**4*(r - 1)/2
Suppose -11*k = 209 - 275. Let m be (259/(-74))/(k/(-4)). Factor -2/3*h - m*h**3 + 3*h**2 + 0.
-h*(h - 1)*(7*h - 2)/3
Let b be (58/(-319))/(-8 + (-312)/(-44)). Solve 0 + 1/5*j**4 - b*j**2 - 7/5*j**3 + 7/5*j = 0 for j.
-1, 0, 1, 7
Let x = 376571 - 376567. Find p, given that 2/5*p**x - 8/5 + 6/5*p**2 - 8/5*p + 8/5*p**3 = 0.
-2, -1, 1
Factor -177*a**4 - 11*a**3 - 12*a**2 + 347*a**4 - 169*a**4.
a**2*(a - 12)*(a + 1)
Suppose -1462 = 129413*m - 130144*m. Factor -21/4*w + 3/4*w**m + 9/2.
3*(w - 6)*(w - 1)/4
Factor -2/3*o**2 - 921984 + 1568*o.
-2*(o - 1176)**2/3
Suppose 21*k + 10 = 5*s + 26*k, -s = 5*k + 6. Suppose 16 - 4 = 4*f. Let 4*o**2 + 11*o**f - 3*o**3 - s*o**3 - 4*o - 4 = 0. What is o?
-1, 1
Let k(l) = l**2 + 7*l + 14. Let g be k(-4). Suppose g*z - 10 = -4. Suppose -80*m**z + 0 - 256/3*m - 4/3*m**5 - 52/3*m**4 - 448/3*m**2 = 0. What is m?
-4, -1, 0
Let z(t) be the third derivative of -t**6/120 + t**5/10 - 4*t**3/3 + 12*t**2. Let y be z(5). Let -y*q**2 + 11*q + 9*q + 21*q**2 = 0. Calculate q.
-5, 0
Let h(y) be the second derivative of 1 + 1/3*y**3 + 23*y + 1/20*y**5 + 0*y**2 + 1/4*y**4. 