vative of -l**6/40 - 17*l**5/10 + 23*l**4/8 + 3174*l**3 + 105*l**2 - 13. Factor o(q).
-3*(q - 12)*(q + 23)**2
Factor -118864*y**2 - 4*y**4 + 38614472 - 281378*y**2 - 2020*y**3 + 61566*y**2 - 18621772*y + 0*y**4.
-4*(y - 2)*(y + 169)**3
Let x = -128021 - -128024. Determine d, given that -2*d**2 + 2/7*d**4 - 12/7 + 26/7*d - 2/7*d**x = 0.
-3, 1, 2
Let f(p) be the first derivative of 0*p - 9/2*p**2 - 3/5*p**5 + 5*p**3 - 3/4*p**4 - 65. Let f(r) = 0. What is r?
-3, 0, 1
Let c(s) = -430*s**3 + 3578*s**2 - 1680*s + 138. Let m(j) = -2*j**3 + 2*j**2 + 2. Let u(v) = -c(v) + 5*m(v). Let u(n) = 0. What is n?
2/21, 2/5, 8
Let d(n) = -12 + 8*n - 7*n + 11*n. Suppose 225 = -6*o + 51*o. Let q(s) = -s**2 - 24*s + 25. Let w(a) = o*d(a) + 3*q(a). Solve w(y) = 0.
-5, 1
Let g(s) be the first derivative of -s**3/9 + 7*s**2/6 - 4*s - 6719. Determine d so that g(d) = 0.
3, 4
Let s(v) = v**3 - 10*v**2 + 23*v + 8. Let n be s(6). Determine r, given that -3*r**3 + 132*r**2 + r**3 - 68*r**n = 0.
0, 32
Let w(z) be the second derivative of -z**7/420 - z**6/60 + 73*z**5/200 - 127*z**4/120 + z**3 + 919*z. Solve w(s) = 0.
-12, 0, 1, 5
Let b(w) be the first derivative of 3*w**4/4 - 30*w**3 + 729*w**2/2 - 1122*w - 6283. Suppose b(y) = 0. Calculate y.
2, 11, 17
Factor 26/9*l - 80/9 - 2/9*l**2.
-2*(l - 8)*(l - 5)/9
Factor 5/6*u**3 - 205/3*u**2 - 660 - 865/2*u.
5*(u - 88)*(u + 3)**2/6
Let y(z) = -8*z**3 - 5*z**2 + 1. Let g(k) = 9*k**3 - 26*k**2 + 174*k - 145. Let x(b) = -2*g(b) - 2*y(b). Factor x(v).
-2*(v - 24)*(v - 6)*(v - 1)
Let a = 1/254061 + 3302791/508122. Find b, given that -15*b**2 - 2 + a*b**3 + 21/2*b = 0.
4/13, 1
Let z = -609 - -612. Suppose -3*r + z*f + 12 = 2*r, f = -4*r - 4. Factor 2/3*j**3 + r - 2/3*j**4 - 2/3*j + 2/3*j**2.
-2*j*(j - 1)**2*(j + 1)/3
Let y(c) = -224*c + 232. Let g(u) = -u**2 - 223*u + 236. Let k(p) = -4*g(p) + 6*y(p). Suppose k(a) = 0. Calculate a.
1, 112
Let i(y) be the third derivative of 47916/5*y**3 + 0 - 200*y**2 - 1089/10*y**4 + 0*y - 1/600*y**6 + 33/50*y**5. Let i(n) = 0. Calculate n.
66
Let p(u) be the first derivative of -3*u**3 - 92 + 0*u + 1/4*u**4 + 7*u**2. Factor p(w).
w*(w - 7)*(w - 2)
Let t be (3 + -9)/(-6) + (22 - -1). Suppose 51 = t*d - 7*d. Solve 16/7 - 36/7*o**2 - 24/7*o + 54/7*o**d = 0.
-2/3, 2/3
Suppose 2*k = 3*j - 230, -5*j + 9*j - 300 = 4*k. Find v such that -j - 66*v**4 - 42*v + 265*v**2 - 88*v - 90*v**4 - 25*v**5 - 29*v**4 + 155*v**3 = 0.
-8, -1, -2/5, 1
Let r = 229568/3441 + -56/1147. Suppose -380/3*d - r - 76*d**2 - 52/3*d**3 - 4/3*d**4 = 0. Calculate d.
-5, -2, -1
Suppose -1 = k + 3*y, -2*y + 11 = 4*k - 5*y. What is i in -4*i**4 + i**4 + 3*i**2 - i**2 + k*i**2 + i**5 = 0?
-1, 0, 2
Let f(a) = -a**2 + 424*a - 44860. Let s be f(203). Factor -128/11 + 96/11*j - 24/11*j**2 + 2/11*j**s.
2*(j - 4)**3/11
Let f = 181/8976 - -1/1496. Let x(w) be the second derivative of 1/8*w**2 + 1/80*w**5 + 21*w + 0 - f*w**4 - 1/24*w**3. Find i, given that x(i) = 0.
-1, 1
Let o(a) be the third derivative of 0*a + 0*a**4 - 3 - 1/80*a**5 - 3*a**2 + 1/6*a**3 + 1/480*a**6. Find q such that o(q) = 0.
-1, 2
Let j(w) = 55*w**2 + 220*w - 210. Let g be -1*4*(3 + (-7)/2). Let x(s) = -36 + 17 + 5*s**2 + 20*s - 5*s**g + 5*s**2. Let n(v) = -6*j(v) + 65*x(v). Factor n(u).
-5*(u - 1)*(u + 5)
Let z(o) be the second derivative of -o - 1/96*o**4 + 3/8*o**2 + 5/48*o**3 - 90. Determine g, given that z(g) = 0.
-1, 6
Suppose 3*n + 4*x - 27 - 17 = 0, 0 = 2*n - 3*x - 18. Factor -13005*s**2 - 510*s**3 - 5*s**4 - n + 3 + 9.
-5*s**2*(s + 51)**2
Let r(u) be the second derivative of -u**4/36 - 197*u**3/6 - 295*u**2/3 - 2083*u - 1. Factor r(v).
-(v + 1)*(v + 590)/3
Let t = -186 - -216. Let c be (4*3/t)/(3/15). Let 0 - 2/9*h - 50/9*h**4 - 70/9*h**3 - 22/9*h**c = 0. Calculate h.
-1, -1/5, 0
Let j(v) be the first derivative of -5*v**3/3 - 200*v**2 - 395*v - 2050. Suppose j(x) = 0. What is x?
-79, -1
Let r(x) be the third derivative of -17*x**6/200 + 19*x**5/15 - 163*x**4/120 + 7*x**3/15 + 59*x**2 + 17. Solve r(t) = 0 for t.
2/17, 1/3, 7
Let d(q) be the third derivative of -q**5/390 - 241*q**4/156 + 162*q**3/13 + 3*q**2 + 1467*q. Factor d(h).
-2*(h - 2)*(h + 243)/13
Suppose 34*d - 14*d = 2460. Let f = d + -120. Let 0 + 2/7*y - 2/7*y**f + 0*y**2 = 0. Calculate y.
-1, 0, 1
Let g(u) be the second derivative of 1 + 2/7*u**3 - 6/7*u**2 + 16*u - 3/35*u**5 + 3/28*u**4 + 1/70*u**6. Suppose g(f) = 0. What is f?
-1, 1, 2
Let w(z) = -1281*z - 84541. Let h be w(-66). Factor -1/4*v**2 - 19/4 - h*v.
-(v + 1)*(v + 19)/4
Let p(k) = -2*k**4 - k**3 - 3*k**2 - k - 1. Let c(b) = 177*b**4 + 132*b**3 - 183*b**2 - 144*b - 30. Let m(q) = -c(q) + 6*p(q). Find l such that m(l) = 0.
-1, -4/9, -2/7, 1
Let q(a) be the third derivative of a**8/2016 + 61*a**7/2016 + 5*a**6/96 - a**5/30 + a**3/2 - 31*a**2. Let p(v) be the third derivative of q(v). Solve p(b) = 0.
-15, -1/4
Let c(k) = -11*k - 3*k**2 + 16*k**2 - 18 - 5*k**2 + 4 + k**3. Let j be c(-9). Let 41*b**4 - j*b**3 + 2*b**3 - 40*b**4 - 1 + 2*b = 0. Calculate b.
-1, 1
Let i(g) be the first derivative of 5*g**3/3 - 9865*g**2/2 - 9870*g + 10261. Factor i(c).
5*(c - 1974)*(c + 1)
Let j = 243513 + -243510. Solve 3*n - 3/4*n**j - 2 + 1/4*n**4 - 1/2*n**2 = 0.
-2, 1, 2
Let n = 65 - 323/5. Let t be -2 - 18 - 20564/(-970). Factor -n*m**2 - 4/5 + t*m.
-2*(m - 2)*(m - 1)/5
Let l be 0 - 2/(-4)*-12. Let v = 9 + l. Let -3*b**3 + 3*b**2 + v*b + 6*b**2 - 5 - 4 + 0 = 0. What is b?
-1, 1, 3
Suppose 0*v - w = 5*v - 28, 3*w = -v. Find k, given that -24*k**2 - 7*k + 0*k**2 + 3*k**2 + v + 22*k = 0.
-2/7, 1
Let t(v) be the first derivative of -4/5*v - 2/45*v**3 - 130 + 7/15*v**2. Factor t(k).
-2*(k - 6)*(k - 1)/15
Let r(y) be the third derivative of -63*y**2 + 0*y + 1 + 203/5*y**4 + 29/100*y**6 + 392/5*y**3 + 897/100*y**5 + 1/350*y**7. Solve r(i) = 0.
-28, -1
Let b(z) be the second derivative of z**4/10 + 433*z**3/5 + 1296*z**2/5 + 705*z - 5. Determine i so that b(i) = 0.
-432, -1
Find p such that -1360/9*p**2 + 0 + 231200/9*p + 2/9*p**3 = 0.
0, 340
Let b(s) = 2*s**2 + 1. Let i(c) be the first derivative of -c**4/4 - 8*c**3/3 + 5*c - 39. Let d(g) = -10*b(g) + 2*i(g). Determine h so that d(h) = 0.
-18, 0
Solve -95/3*b**2 + 0 + 10/3*b = 0.
0, 2/19
Suppose 2*b + 20 = -5*o + 4, -5 = 5*b - 5*o. Let z(i) = -i**2 - 4*i - 1. Let c be z(b). Factor 0*h - 30 + 46*h**3 - 5*h - 51*h**3 + 20*h**c.
-5*(h - 3)*(h - 2)*(h + 1)
Let b(q) be the second derivative of -4/3*q**2 + 1/15*q**5 + 10/27*q**4 + 0 + 2/27*q**3 - 76*q. Factor b(r).
4*(r + 1)*(r + 3)*(3*r - 2)/9
Let u(n) be the second derivative of -33*n + 0*n**3 + 1/120*n**5 - 1/16*n**4 + 29/2*n**2 + 0. Let o(v) be the first derivative of u(v). Factor o(j).
j*(j - 3)/2
Let a(u) = 9*u**4 + 58*u**3 + 13*u**2 - 172*u + 196. Let c(p) = p**4 + 2*p**2 + 10. Let h(j) = 3*a(j) - 24*c(j). What is w in h(w) = 0?
-58, -2, 1
Suppose 2754*t - 2788*t + 68 = 0. Let u = -19 - -20. Factor m + u + 1/4*m**t.
(m + 2)**2/4
Let k = 151300/264579 + -16/37797. What is j in 25600/7 - 640/7*j + k*j**2 = 0?
80
Let v be 140/16*136/119 - 34/6. What is y in -v*y - 1/6*y**2 - 169/6 = 0?
-13
Let m be 3 - (2 - -2) - -126. Let x be 6 + (-2 - m/35). Let -x*d**3 - 648/7 - 54/7*d**2 - 324/7*d = 0. What is d?
-6
Factor -8155*t**2 - 85 + 21 - 101 - 156*t**3 - 2315*t - 89*t**3.
-5*(t + 33)*(7*t + 1)**2
Let d(u) = -6*u**2 - 3*u + 12. Let i(l) = -l**2 + 2. Suppose 126*t = 127*t + 3. Let p(j) = t*i(j) + d(j). Let p(y) = 0. Calculate y.
-2, 1
Let a(k) be the first derivative of k**5/75 - 4*k**4/15 - 8*k**3/3 - k**2 - 32*k + 199. Let d(l) be the second derivative of a(l). Factor d(t).
4*(t - 10)*(t + 2)/5
Let m(j) be the second derivative of -j**5/60 - j**4/24 + j**3/3 + 109*j**2 + 2*j - 2. Let u(w) be the first derivative of m(w). Factor u(c).
-(c - 1)*(c + 2)
Suppose -762 + 766 = -4*p - 2*l, 0 = 2*p + 5*l + 34. Solve -6*x**2 - 3 - 3/2*x**p - 15/2*x = 0.
-2, -1
Let h(o) be the third derivative of o**7/1470 - 19*o**5/210 - 3*o**4/7 - 5*o**3/6 + 578*o**2. What is r in h(r) = 0?
-5, -1, 7
Let m be ((-220)/(-66))/(15/18). Suppose -5*h = 7*g - 8*g - 5, m*g + 4*h = 4. Factor -3/4*q**3 + 0*q - 3/4*q**4 + g*q**2 + 0.
-3*q**3*(q + 1)/4
Let k(i) be the second derivative of -3/2*i**3 - 39/8*i**2 + 0 + 1/16*i**4 - 34*i. Determine m so that k(m) = 0.
-1, 13
Let l(u) be the first derivative of -10/3*