(q) be the first derivative of 93/8*q**4 - 26*q**3 + 9*q**2 - 7/4*q**6 + 0*q + 24/5*q**5 - 48. What is g in p(g) = 0?
-2, 0, 2/7, 1, 3
Let a(r) be the first derivative of -r**5/150 - 13*r**4/120 + 7*r**3/30 + 78*r**2 + 140. Let q(l) be the second derivative of a(l). Suppose q(g) = 0. What is g?
-7, 1/2
Let q(m) = 3*m**3 + m**2 + m. Let s(o) = 47*o**3 - 26*o**2 - 400*o. Let u(a) = -80*q(a) + 5*s(a). Factor u(c).
-5*c*(c + 16)*(c + 26)
Factor 35*h**3 + 96*h + 2508*h**2 + 7 - 23 + 8172*h**3 + 21*h**3.
4*(11*h + 2)**2*(17*h - 1)
Let q be 576/128*2/3. Suppose 5*f - 48 - 76*f**2 + 140*f**3 - 156*f**q - 117*f = 0. Calculate f.
-2, -3/4
Solve -4/3*h**4 + 80/3 - 20/9*h**5 - 124/3*h**2 - 512/9*h + 388/9*h**3 = 0.
-5, -1, 2/5, 2, 3
Let x be ((36/16)/(-9))/((-1)/2732). Factor 11 + 38*d**2 + d**5 + 8*d**4 - 655*d + x*d + 25*d**3 - 3.
(d + 1)**2*(d + 2)**3
Let h(i) be the second derivative of -i**6/135 + 7*i**5/30 + 5*i**4/6 - 75*i**3 + 861*i + 2. Let h(k) = 0. What is k?
-9, 0, 15
Let b be 735/(-90) + -19 + 28. Let n(k) be the second derivative of 1/20*k**5 + 0*k**2 + 25*k + 25/6*k**3 + 0 - b*k**4. Factor n(u).
u*(u - 5)**2
Let h(f) be the first derivative of 94*f**3/21 + 1224*f**2/7 + 104*f/7 - 3951. Factor h(g).
2*(g + 26)*(47*g + 2)/7
Let q(r) be the first derivative of -9*r**4/2 - 4990*r**3/3 + 1948*r**2 + 1112*r - 4581. Factor q(g).
-2*(g - 1)*(g + 278)*(9*g + 2)
Let m(g) be the third derivative of g**8/1008 - 26*g**7/315 + 23*g**6/20 - 33*g**5/5 + 129*g**4/8 - 29*g**2 + 5*g. Factor m(j).
j*(j - 43)*(j - 3)**3/3
Factor 177*w**2 - 45*w**3 + 237*w - 2887 + 1485 + 1417.
-3*(w - 5)*(w + 1)*(15*w + 1)
Let u(f) be the third derivative of -f**6/40 - 3*f**5/5 + f**4/8 + 6*f**3 + 113*f**2 + 3*f + 1. Solve u(j) = 0 for j.
-12, -1, 1
Suppose 188 + y**2 - 413 + 13*y + 71*y - 412 = 0. What is y?
-91, 7
Let l(r) = r**2 - 12*r - 72. Suppose 0 = -20*i + 10*i + 230. Let t be l(i). Factor -12*u**2 - t*u + u**3 + 190*u + 2*u**3.
3*u*(u - 3)*(u - 1)
Determine s so that 164/7*s**2 + 32*s**3 - 32*s + 0 + 7*s**4 + 3/7*s**5 = 0.
-8, -7, -2, 0, 2/3
Let w(a) = a**3 + 7*a**2 + 6*a + 1. Let o be w(-6). Suppose o = g - 1. Factor -108 - 3*s**g - 33*s - 4*s + s.
-3*(s + 6)**2
Let x(p) be the first derivative of -p**6/90 - 2*p**5/15 - 7*p**4/12 - 11*p**3/9 - 4*p**2/3 - 17*p + 78. Let b(d) be the first derivative of x(d). Factor b(j).
-(j + 1)**2*(j + 2)*(j + 4)/3
Let h be 0/2 + 55 + 0. Let w be -2*3/6*-2. Factor h*i**w - 30*i**2 + 56*i**4 - 29*i**2 - i**3 - i**3.
2*i**2*(4*i + 1)*(7*i - 2)
Let k(d) be the second derivative of d**6/165 - 29*d**5/55 + 2568*d. Factor k(s).
2*s**3*(s - 58)/11
Let v(s) be the third derivative of s**7/210 - 14*s**6/15 + 11*s**5/3 - 26*s**2 - 13. Factor v(n).
n**2*(n - 110)*(n - 2)
Let i(q) be the third derivative of q**6/540 - 49*q**5/270 - 449*q**4/108 - 133*q**3/9 + 115*q**2 - 2*q - 4. Factor i(a).
2*(a - 57)*(a + 1)*(a + 7)/9
Let w(a) = 15*a**3 - 1200*a**2 - 7713*a - 6522. Let k(j) = -3*j**3 + 240*j**2 + 1543*j + 1305. Let v(d) = -24*k(d) - 5*w(d). Find l, given that v(l) = 0.
-5, -1, 86
Let n(s) be the second derivative of -s**6/75 + 114*s**5/25 - 592*s**4 + 503792*s**3/15 - 2431344*s**2/5 + 8*s + 177. Factor n(i).
-2*(i - 74)**3*(i - 6)/5
Let c(d) = 2*d**2 + 49*d - 256. Let a be c(-38). Let x be (-66)/a + 2/7. Suppose x*y**4 + 0 + 216/5*y + 18/5*y**3 + 108/5*y**2 = 0. Calculate y.
-6, 0
Let y(t) be the first derivative of -15*t**4/22 + 8*t**3/11 + 4*t**2/11 + 39*t + 31. Let q(p) be the first derivative of y(p). Determine d so that q(d) = 0.
-2/15, 2/3
Determine w, given that 2/13*w**4 + 0 + 2/13*w**3 + 0*w - 4/13*w**2 = 0.
-2, 0, 1
Let c be -27 - (722/190 + -31). Solve -1/5*i**2 + 2/5 - c*i = 0 for i.
-2, 1
Factor 9800/11 - 3010/11*f - 2/11*f**3 + 148/11*f**2.
-2*(f - 35)**2*(f - 4)/11
Suppose 2*l = 6, -7*h + 6*h = l - 3. Let d(o) be the first derivative of 3/28*o**4 - 1/14*o**6 - 1/7*o**3 + h*o + 0*o**2 + 27 + 3/35*o**5. Solve d(y) = 0 for y.
-1, 0, 1
Let s(m) be the first derivative of m**4 + 28*m**3/3 - 112*m**2 - 528*m - 202. Let s(y) = 0. Calculate y.
-11, -2, 6
Let h(p) = -7*p**4 - 23*p**3 - 22*p**2 - 2*p. Suppose -11*n + n = 10. Let q(r) = r**4 - r**3 + r**2 + r. Let a(b) = n*h(b) - 2*q(b). Factor a(z).
5*z**2*(z + 1)*(z + 4)
Let x = -42787/2 - -21397. Let 1/6*g**3 - 17/6*g**2 + 1/6*g**4 + 6 - x*g = 0. Calculate g.
-3, 1, 4
Let k(b) be the first derivative of -b**4/2 - 106*b**3 + 322*b**2 - 9685. Solve k(d) = 0.
-161, 0, 2
Let n(w) be the third derivative of w**7/2205 - w**6/180 - w**5/45 + 4*w**4/21 + 24*w**2 - w - 1. Factor n(j).
2*j*(j - 8)*(j - 2)*(j + 3)/21
Let b(y) be the second derivative of 5/12*y**4 + 0*y**2 - 72*y + 0 - 5*y**3. Factor b(f).
5*f*(f - 6)
Let 70/3*i - 19/3*i**2 + 1/3*i**3 + 0 = 0. Calculate i.
0, 5, 14
Let v(x) = x**3 + 12*x**2 - 14*x - 10. Let a be v(-13). Factor -13*d**4 + 35*d**2 - 10*d - 11*d**4 + 6*d**3 - 11*d**4 + 4*d**a.
-5*d*(d - 1)*(d + 1)*(7*d - 2)
Let -350/3 + 2/3*c**2 + 12*c = 0. Calculate c.
-25, 7
Let o(b) be the first derivative of 1/2*b**4 + 28*b + 32/3*b**3 + 29*b**2 + 181. What is w in o(w) = 0?
-14, -1
Let y = 529781/2196 + -548/549. Factor 31*w + 1 + y*w**2.
(31*w + 2)**2/4
Let d(k) = k**3 + 25*k**2 + 48*k + 47. Let i be d(-23). Let u be (5 + 348/(-72))*(i + 11). Solve 0*c**3 + 4/5*c**4 + 0 - 4/5*c**u - 2/5*c + 2/5*c**5 = 0 for c.
-1, 0, 1
Suppose 3*i - 3*u - 35 = 244, 0 = 5*i + 5*u - 425. Let q = -84 + i. Factor 4*c + 19*c + c**q + 24*c**3 - 6 - 11*c**2 - 8*c**4 - 23*c**2.
(c - 3)*(c - 2)*(c - 1)**3
Let t(i) be the second derivative of i**7/126 - i**6/5 + 103*i**5/60 - 11*i**4/2 + 56*i**3/9 + 6189*i. Suppose t(g) = 0. Calculate g.
0, 1, 2, 7, 8
Let o(j) = 2*j**2 - 14*j - 22. Let b be o(8). Let g be b/12 - (51/54 - 3). Factor 4/3 - g*k**2 + 38/9*k.
-2*(k - 3)*(7*k + 2)/9
Solve -1260*h - 9*h**2 + 4976 + 28*h**2 - 16*h**2 + h**2 = 0 for h.
4, 311
Let b = -228 - -234. Factor -85 - 60*j + 69 - b*j**3 + 4*j**5 - 80*j**2 - 34*j**3.
4*(j - 4)*(j + 1)**4
Let s(c) = c**2 + 7*c - 3. Let a be s(-8). Let d be 0 - 2 - (-20)/a. Determine z, given that 9*z**2 - z - 5*z - 6*z**d + 3 = 0.
1
Solve -294*z**2 - 2741*z - 293*z**2 - 2369*z + 592*z**2 = 0.
0, 1022
Let a = -376412 - -376544. Factor -363/5*d + 0 - a*d**2 - 3/5*d**5 - 234/5*d**3 + 12*d**4.
-3*d*(d - 11)**2*(d + 1)**2/5
Factor 720/7 + 4/7*p**2 - 116/7*p.
4*(p - 20)*(p - 9)/7
Factor -74/5*c**2 + 1/5*c**4 - 73/5*c**3 + 0*c + 0.
c**2*(c - 74)*(c + 1)/5
Let b = -6293/6 - -3148/3. Let z(i) be the third derivative of 16*i**2 - b*i**3 + 0 + 13/32*i**4 - 3/80*i**5 + 0*i. Solve z(r) = 0 for r.
1/3, 4
Let k(l) be the first derivative of -3*l**4/4 - 1627*l**3/9 - 629*l**2/3 + 120*l - 4230. Factor k(u).
-(u + 1)*(u + 180)*(9*u - 2)/3
Factor 3057*i - 4223*i**3 + 1015*i + 192*i**4 - 238*i + 243 + 815*i**3 + 14691*i**2.
3*(i - 9)**2*(8*i + 1)**2
Let f = 386 + 5. Factor -f*m**2 + 3*m - 5*m + 385*m**2.
-2*m*(3*m + 1)
Let 30*r - 11 + 8*r**2 + 7 - 5*r**2 - 17 + 69 = 0. What is r?
-8, -2
Let j(l) be the second derivative of -l**9/7560 - l**8/1120 + l**6/90 - 20*l**4/3 - 99*l. Let q(d) be the third derivative of j(d). Solve q(p) = 0 for p.
-2, 0, 1
Let t(q) be the first derivative of -q**6/90 + q**5/6 - 25*q**4/36 - 52*q + 8. Let c(v) be the first derivative of t(v). Factor c(o).
-o**2*(o - 5)**2/3
Let y(w) = -3*w**2 - 40*w + 42. Let o(q) = q**2 + 2*q. Let p(l) = -6*o(l) - y(l). Let g(a) = 2*a**2 - 27*a + 43. Let k(d) = -2*g(d) - 3*p(d). Factor k(x).
5*(x - 4)*(x - 2)
Suppose -8*n - 607 = 5*l - 6*n, l + 3*n = -124. Let p = 121 + l. Suppose 2/11*s**5 - 2*s + 20/11*s**3 + p*s**2 - 12/11 + 12/11*s**4 = 0. What is s?
-3, -2, -1, 1
Let z be (-1233)/959 + 0 + (-2836)/(-28). Factor 1/4*s**2 - 10*s + z.
(s - 20)**2/4
Let o(s) = -4*s**2 - 60*s - 172. Let v(a) = 12*a**2 + 181*a + 514. Let q(m) = -13*o(m) - 4*v(m). Suppose q(c) = 0. What is c?
-9, -5
Suppose 3 + 19015/4*r**2 - 33781/4*r**3 + 6889/2*r**4 + 244*r = 0. What is r?
-2/83, 1, 3/2
Solve -64766*a + 21*a**2 + 12*a**2 - 2*a**3 - 22 - 5*a**2 - 6*a**2 + 64768*a = 0 for a.
-1, 1, 11
Let l be ((-77)/33)/((4466/(-36))/29). Determine j so that 56/11 - 2/11*j**3 + l*j**2 + 48/11*j = 0.
-2, 7
Let t(g) be the second derivative of -3*g**5/20 - 9*g**4/4 - 10*g**3 - 18*g**2 + g + 735. Factor t(v).
-3*(v + 1)*(v + 2)*(v + 6)
Suppose 2*k - 5*b