(-6)) + 11. Let c(g) be the second derivative of 1/50*g**5 + 0*g**3 + 0 - 1/15*g**4 + a*g**2 + 20*g. Factor c(l).
2*l**2*(l - 2)/5
Let m = 383115 - 383113. Determine g, given that -85/4*g - 5/4*g**3 - 10 - 25/2*g**m = 0.
-8, -1
Let v(t) be the first derivative of -t**4/38 + 332*t**3/19 + 2004*t**2/19 + 4016*t/19 - 2468. Factor v(n).
-2*(n - 502)*(n + 2)**2/19
Let x(l) be the first derivative of 80 + 15*l**2 + 3/2*l**5 - 55/6*l**3 - 10*l + 5/8*l**4 - 5/12*l**6. Find p such that x(p) = 0.
-2, 1, 2
What is c in 722 - 140*c**3 - 160*c - 722 + 8*c**4 - 392*c**2 = 0?
-2, -1/2, 0, 20
Let v be 97428/(-3360) + 24 + -4 + 2 + 7. Let f(o) be the third derivative of 0 - 1/140*o**5 - 1/56*o**4 + v*o**6 + 0*o - 2*o**2 + 1/14*o**3. Factor f(z).
3*(z - 1)**2*(z + 1)/7
Let 4/9*k - 1/9*k**3 - 16/9 + 4/9*k**2 = 0. What is k?
-2, 2, 4
Suppose -5*q = 4*z - 480, 626 = 5*q + 3*z + 146. Factor 44*i**3 - 8*i**4 + 1/2*i**5 - q*i**2 + 0 + 72*i.
i*(i - 6)**2*(i - 2)**2/2
Let f be 1/(-60)*(2500/(-8))/5. Let r(v) be the third derivative of 1/12*v**5 + 0*v + f*v**4 - 7*v**2 + 0 + 0*v**3. Let r(y) = 0. Calculate y.
-5, 0
Let q(w) be the second derivative of 91*w**4/24 + 137*w**3/9 + w**2/3 - 29*w + 4. Factor q(h).
(h + 2)*(273*h + 2)/6
Let u(m) = 5*m**2 + 8*m + 12. Let a be u(-4). Factor -60*o**2 - 48*o + 64 + a*o**2 + 4*o**3.
4*(o - 2)**2*(o + 4)
Let h(v) be the first derivative of 2 - 11/2*v**2 + 0*v + 1/3*v**3 - 1/24*v**4 - 1/60*v**5. Let c(z) be the second derivative of h(z). Solve c(t) = 0.
-2, 1
Let v(j) be the third derivative of 1/60*j**5 + 51*j**2 + 0*j + 8/3*j**3 + 0 + 1/3*j**4. Factor v(k).
(k + 4)**2
Let v(y) be the third derivative of 2*y**7/3 - 25*y**6/24 - y**5/4 - 6*y**2 - 14*y. What is w in v(w) = 0?
-3/28, 0, 1
Let t(p) = 2*p**2 + 25*p - 12. Let k(v) = -v - 2. Let n(c) = 2*c + 4. Let j(w) = -13*k(w) - 6*n(w). Let y(q) = 5*j(q) - t(q). Find r such that y(r) = 0.
-11, 1
Let r be -3 + 1 + 19880/((-40)/8). Let j be (-47880)/r - 12 - (-2)/17. Solve -8/13*v + 8/13 + j*v**2 = 0 for v.
2
Let l(n) be the third derivative of n**6/120 + 19*n**5/60 + 195*n**2. Let k be l(-19). Factor -3/2*v**3 - 9*v + k - 15/2*v**2.
-3*v*(v + 2)*(v + 3)/2
Let v be (-99)/(-330) + 10429/70. Let f = v - 148. Factor 6/7*o**3 + 3/7 + 6/7*o**2 - f*o**4 - 9/7*o + 3/7*o**5.
3*(o - 1)**4*(o + 1)/7
Let q(i) be the first derivative of i**6/180 - i**5/30 - 5*i**2/2 + 6*i + 67. Let c(u) be the second derivative of q(u). Let c(l) = 0. What is l?
0, 3
Let d(l) = -300*l**2 + 4405*l + 4810. Let c(o) = o**3 + 299*o**2 - 4387*o - 4811. Let b(m) = 5*c(m) + 6*d(m). Factor b(w).
5*(w - 31)**2*(w + 1)
Let g(q) = 40*q**3 + 530*q**2 - 6806*q + 1308. Let o(m) = -10*m**3 - 132*m**2 + 1702*m - 328. Let v(h) = 4*g(h) + 18*o(h). Factor v(n).
-4*(n - 8)*(n + 21)*(5*n - 1)
Let g(k) = -k**2 + 19*k + 22. Let c = 52 + -32. Let d be g(c). Suppose -7*w**2 + 6*w**3 + 3*w**5 + 11*w**d - 5*w**5 + 0*w**3 = 0. Calculate w.
-1, 0, 2
Let h(b) be the first derivative of -69 - 9*b**2 - 8/3*b**3 - 4*b. Suppose h(d) = 0. Calculate d.
-2, -1/4
Suppose -5234 = -14*u - 2140. Suppose -21*y + u = 158. Determine s so that -1/8*s**2 - 1/8*s**y + 1/8*s + 1/8 = 0.
-1, 1
Let f(o) be the second derivative of -23*o**6/135 + 22*o**5/45 + 16*o**4/9 - 176*o**3/27 - 16*o**2/9 + 1364*o. Let f(w) = 0. Calculate w.
-2, -2/23, 2
Let s(g) be the second derivative of 7*g**6/60 + 17*g**5/60 - 5*g**4/6 + 2*g**3/3 - 35*g**2/2 + 23*g. Let u(i) be the first derivative of s(i). Factor u(t).
(t + 2)*(2*t - 1)*(7*t - 2)
Let g(x) be the first derivative of 7*x**6/135 + 3*x**5/5 - 8*x**4/27 - 66*x + 2. Let r(k) be the first derivative of g(k). Factor r(d).
2*d**2*(d + 8)*(7*d - 2)/9
Let v(q) be the first derivative of -2/65*q**5 - 131 - 968/13*q + 924/13*q**2 - 794/39*q**3 - 21/13*q**4. Let v(r) = 0. Calculate r.
-22, 1
Let p be 65/(-70)*412/(-1339). Factor -p*v + 2/7 + 2/7*v**3 - 2/7*v**2.
2*(v - 1)**2*(v + 1)/7
Let q(u) be the third derivative of -u**6/480 + u**5/60 + 5*u**4/8 - 1276*u**2. Determine t so that q(t) = 0.
-6, 0, 10
Let r(o) be the second derivative of 0 + 8/15*o**5 - 96*o + 0*o**2 + 11/18*o**4 + 7/45*o**6 + 2/9*o**3. Factor r(j).
2*j*(j + 1)**2*(7*j + 2)/3
Let a(z) be the first derivative of -76 - 4/3*z**3 - 4/3*z**2 + 0*z - 1/3*z**4. Find y such that a(y) = 0.
-2, -1, 0
Factor 10/9*r**2 + 0 + 4/3*r.
2*r*(5*r + 6)/9
Let w(a) = -29*a**2 - 9*a - 20. Let g(f) = -23*f**2 - 11*f - 20. Let r(y) = 5*g(y) - 4*w(y). Suppose r(v) = 0. What is v?
-1, 20
Let c(v) be the second derivative of -1/45*v**6 + 1/15*v**5 + 0*v**3 - 281*v + 0*v**2 + 0*v**4 + 0. Solve c(m) = 0.
0, 2
Let r(q) be the first derivative of 0*q + 0*q**2 - 2/7*q**5 - 2/7*q**3 - 1/2*q**4 - 1/21*q**6 - 185. Determine n, given that r(n) = 0.
-3, -1, 0
Let t be -11 + 13 + (-8)/(-4). Factor 62*d**t + 5*d**5 + 19*d**2 + 33*d**4 + 32*d - 48*d**4 + 109*d**2 + 138*d**3.
d*(d + 1)*(d + 4)**2*(5*d + 2)
Let i(b) be the first derivative of -4*b**6/3 + 132*b**5/5 - 133*b**4 + 524*b**3/3 + 30*b**2 - 176*b - 680. Solve i(c) = 0 for c.
-1/2, 1, 4, 11
Let r be (72/(-192) + (-3)/(-72))*(-15 + -17). Suppose -2/9*v**3 - 128/9 - r*v + 10/3*v**2 = 0. Calculate v.
-1, 8
Let t(q) be the second derivative of 9/2*q**2 - 14*q + 0 - 1/90*q**5 - 1/36*q**4 + 2/9*q**3. Let y(i) be the first derivative of t(i). Factor y(z).
-2*(z - 1)*(z + 2)/3
Factor -4/5*v**3 + 288/5*v**2 + 60*v - 584/5.
-4*(v - 73)*(v - 1)*(v + 2)/5
Let k(i) be the third derivative of -3/280*i**6 - i**2 - 1/490*i**7 + 0*i**3 + 0*i + 91 + 1/140*i**5 + 3/784*i**8 + 0*i**4. Solve k(g) = 0.
-1, 0, 1/3, 1
Let z = -171 - -172. Suppose 3*g + 2*g - 25300 = 0. Suppose g*d**2 + z - 16 - 5057*d**2 + 0*d + 12*d = 0. Calculate d.
-5, 1
Let c(r) = -767*r**2 - 809*r - 90. Let l(j) = 257*j**2 + 269*j + 30. Let i(q) = -3*c(q) - 8*l(q). Solve i(o) = 0.
-1, -6/49
Let g(h) be the second derivative of h**7/294 + 187*h**6/210 - 759*h**5/140 + 953*h**4/84 - 191*h**3/21 + 1615*h + 1. Find q, given that g(q) = 0.
-191, 0, 1, 2
Let u(b) be the third derivative of b**8/840 - 4*b**7/175 - 29*b**6/300 + 2*b**5/25 + 7*b**4/15 + 72*b**2 + 7*b - 2. Solve u(y) = 0 for y.
-2, -1, 0, 1, 14
Let a(d) be the first derivative of 8 + 6*d + 1/4*d**4 + 3/2*d**2 - d**3. Let n(r) be the first derivative of a(r). Factor n(u).
3*(u - 1)**2
Let d(y) be the second derivative of -y**4/6 - 91*y**3/3 + 92*y**2 + 1347*y. Let d(f) = 0. What is f?
-92, 1
Let a(s) be the second derivative of 5*s**7/42 - 7*s**6/3 + 35*s**5/2 - 65*s**4 + 255*s**3/2 - 135*s**2 - 406*s. Suppose a(i) = 0. What is i?
1, 3, 6
Factor 81/2 - 1/2*u**5 + 27/2*u - 27*u**2 - 21*u**3 - 11/2*u**4.
-(u - 1)*(u + 3)**4/2
Factor 464*j**3 - 463*j**3 - 3*j**2 + 95*j + 21*j**2 + 126.
(j + 2)*(j + 7)*(j + 9)
Let u(p) = 3*p**3 + 18*p**2 - 125*p + 86. Let m(n) = n**3 - 10*n**2 - 2*n + 2. Let g(l) = -4*m(l) + 2*u(l). Factor g(a).
2*(a - 2)*(a - 1)*(a + 41)
Let h = -5942 + 41642/7. Factor 3/7*z + 0 + 72/7*z**3 - 27/7*z**2 - h*z**4.
-3*z*(z - 1)*(4*z - 1)**2/7
Let o = 24 - 23. Let p be (o - -24) + (0 - 1). Factor -2*w**2 + 23*w - w**2 + p*w - 75 - 17*w.
-3*(w - 5)**2
What is h in 97/6*h**3 - 49/6*h**5 + 71/6*h**2 - 6 - 8*h - 35/6*h**4 = 0?
-1, -6/7, 1
Let x(t) be the first derivative of 0*t**2 + 0*t + 1/14*t**6 + 186/35*t**5 - 75 + 0*t**3 + 2883/28*t**4. Let x(s) = 0. Calculate s.
-31, 0
Let i be (-114)/30*5/(-3) - 15*8/40. Suppose 64/3*c + 8 + i*c**2 = 0. Calculate c.
-6, -2/5
Let h = 15509 + -15509. Let -2/3*y**3 - 5/6*y + 7/2*y**2 + h = 0. What is y?
0, 1/4, 5
Let t(p) be the first derivative of -p**6/3 - 72*p**5 + 193*p**4/2 + 4288*p**3/3 - 5052*p**2 + 5792*p + 12240. What is v in t(v) = 0?
-181, -4, 1, 2
Let b(q) be the first derivative of 9/20*q**5 + 3/8*q**4 + 0*q + 111 + 0*q**3 + 0*q**2 + 1/8*q**6. Factor b(l).
3*l**3*(l + 1)*(l + 2)/4
Let i(a) be the third derivative of -a**5/2 + 3307*a**4/8 + 993*a**3/2 - 32*a**2 + 3*a - 2. Solve i(f) = 0 for f.
-3/10, 331
Suppose -7*f = -6*f - 16. Suppose -2*v - f = -4*r + 2*v, 4*r - 16 = 5*v. Determine w, given that -10094*w - 4*w**2 + 10094*w + r*w**4 = 0.
-1, 0, 1
Let m(k) be the first derivative of k**5/60 + k**4/12 - 4*k**3/3 + 205*k**2/2 - 83. Let r(w) be the second derivative of m(w). Factor r(a).
(a - 2)*(a + 4)
Suppose 15*z = -5*m + 12*z - 303, -4*z - 4 = 0. Let c be m/264*(-8)/10. Determine f, g