be the first derivative of -214 + 23805*x + 5/3*x**3 + 345*x**2. Solve w(a) = 0 for a.
-69
Let l(u) be the third derivative of u**5/20 - 247*u**4/4 + 61009*u**3/2 + 57*u**2. Factor l(v).
3*(v - 247)**2
Let n be (-66)/18 + 2/(-6). Let c be (n/14)/((-27)/378). Factor c*m**2 + 2*m**2 - 3*m - 6*m**4 - 3*m**5 + 6*m.
-3*m*(m - 1)*(m + 1)**3
Solve 22 + 4555*a + 10028*a**2 + 8 + 5207*a**2 - 7227*a**2 + 7567*a**2 = 0 for a.
-2/7, -3/445
Let i(b) = -4 - 3911308*b**2 + 4 - b + 3911307*b**2. Let f(l) = -2*l**2 - 5*l. Let v be -1 + 4*(-3)/(-2). Let h(a) = v*i(a) - f(a). Factor h(u).
-3*u**2
Let b(v) be the third derivative of -1/630*v**7 + 0 - 2*v - 5/72*v**4 + 2/9*v**3 + 1/72*v**6 - 1/60*v**5 + 24*v**2. Solve b(a) = 0.
-1, 1, 4
Let b(n) = -n**4 - 8*n**3 - 5*n**2 + 6*n. Let p(i) = 3*i**4 + 17*i**3 + 11*i**2 - 13*i. Let c = -99 - -108. Let x(w) = c*b(w) + 4*p(w). Solve x(m) = 0 for m.
-2/3, 0, 1
Let y(m) be the second derivative of -71/24*m**4 - 1/2*m**3 + 1/6*m**7 + 11 + 71/20*m**5 - 29/20*m**6 + 2*m**2 - 2*m. Determine u, given that y(u) = 0.
-2/7, 1/2, 1, 4
Suppose 3*t = 4*o + 1, 0*t + 4 = -o + 2*t. Factor u**o - 436*u - 3*u**2 + 55 + 386*u - 3*u**2.
-5*(u - 1)*(u + 11)
Let k(f) = -3*f**3 + 6*f**2 + 3*f - 9. Let s(z) = 40*z**2 - 80*z**2 + 3*z**3 + 34*z**2 + 8 - 3*z. Let r(v) = 2*k(v) + 3*s(v). Factor r(w).
3*(w - 2)*(w - 1)*(w + 1)
Let k(s) = -7*s + 625. Let o be k(89). Find b, given that -3/2*b**o - 18 - 21/2*b = 0.
-4, -3
Let i be -20 + ((-17408)/(-96))/8. Determine r so that 4/3 - 2*r**5 - 2*r + 4*r**3 - i*r**2 + 4/3*r**4 = 0.
-1, 2/3, 1
Let x(j) be the first derivative of -j**3/12 + 45*j**2/4 - 44*j - 565. Find l, given that x(l) = 0.
2, 88
Solve 2/13*z**3 + 250/13*z - 128/13*z**2 - 124/13 = 0 for z.
1, 62
Let l(f) = 50*f**4 + 316*f**3 + 513*f**2 + 6*f - 3. Let k(w) = 99*w**4 + 631*w**3 + 1036*w**2 + 11*w - 7. Let g(d) = -3*k(d) + 7*l(d). Factor g(u).
u*(u + 3)**2*(53*u + 1)
Let h be 63/5 - (-473)/1118*-26. Determine w, given that 0*w + 0*w**2 - h*w**4 - 4/5*w**3 + 0 + 12/5*w**5 = 0.
-1/3, 0, 1
Factor 2/7*f**2 - 72/7*f + 0.
2*f*(f - 36)/7
Suppose 0*q = q - 2, 2*q = 3*a + 1. Let p(f) = f + 1. Let l(w) = w**2 - 18*w - 6. Let y(k) = a*l(k) + 6*p(k). Suppose y(c) = 0. What is c?
0, 12
Let t(u) be the second derivative of -2 - 5*u + 16/69*u**3 - 5/138*u**4 - 3/23*u**2. Factor t(n).
-2*(n - 3)*(5*n - 1)/23
Let m(k) be the first derivative of -k**4/8 - 421*k**3/6 - 11130*k**2 - 22050*k - 1043. Determine x so that m(x) = 0.
-210, -1
Suppose 2*x - 12*w + 15*w + 975 = 0, 0 = 2*x - 5*w + 983. Let d = -489 - x. Find h, given that d + 20*h**3 + 9/2*h + 8*h**4 + 33/2*h**2 = 0.
-1, -3/4, 0
Let x be 1*(-342)/3*(-2)/6. Suppose 9*v + 2 - x = 0. Solve -2*p + 3*p**4 + 33*p**2 + 24*p - 28*p**3 + 2*p**4 - v*p = 0.
-2/5, 0, 3
Suppose -204 - 4/3*n**2 - 72*n = 0. What is n?
-51, -3
Let p(n) = 5. Let f(t) = -2 - t**3 + 6 - 2*t**2 + t**2 + t**4 + t**5. Suppose k = 5*i - 15, -21*i - 23 = -3*k - 23*i. Let g(r) = k*f(r) - 4*p(r). Factor g(c).
5*c**2*(c - 1)*(c + 1)**2
Let p(y) be the second derivative of 0 + 1/6*y**5 + 6*y**2 - 5/6*y**3 + 5/24*y**4 + 9*y. Let d(i) be the first derivative of p(i). Factor d(x).
5*(x + 1)*(2*x - 1)
Suppose 0 = -9*g + g + 16. Factor 6*l**3 + 0*l**3 + l**4 - 3*l**3 - g*l**2 - 2*l**3.
l**2*(l - 1)*(l + 2)
Let n(s) = -4*s**4 + 33*s**3 + 65*s**2 - 5. Let d(i) = -2*i**4 + 14*i**3 + 32*i**2 - 2. Let r(b) = 5*d(b) - 2*n(b). Suppose r(w) = 0. What is w?
-3, 0, 5
Let j(k) be the first derivative of k**4/8 - 7*k**3/6 - 11*k**2 + 1076. Solve j(p) = 0 for p.
-4, 0, 11
Let c(b) be the second derivative of b**4/54 - 34*b**3/27 + 11*b**2/3 - 6*b - 154. Factor c(t).
2*(t - 33)*(t - 1)/9
Let j(v) = -90*v**2 - 1560*v - 21. Let q(h) = 17*h**2 + 312*h + 4. Let z(s) = -4*j(s) - 21*q(s). Factor z(i).
3*i*(i - 104)
Let r = -369016 - -369021. Suppose 4/3 + 32/3*n**3 + 12*n**2 + 40/9*n**4 + 2/3*n**r + 58/9*n = 0. What is n?
-3, -1, -2/3
Let p(b) be the second derivative of -b**7/21 + 2*b**6/27 - b**5/90 - 17*b + 268. Factor p(u).
-2*u**3*(u - 1)*(9*u - 1)/9
Let r(n) be the third derivative of n**5/90 + 3*n**4/4 + 6*n**2 - 155*n. Factor r(j).
2*j*(j + 27)/3
Let l(g) be the third derivative of -g**5/240 + 383*g**4/96 - 18*g**2 - 257*g - 1. Factor l(w).
-w*(w - 383)/4
Let h(p) be the first derivative of p**3/5 - 849*p**2/5 + 240267*p/5 + 1050. Let h(k) = 0. What is k?
283
Let i = 17 + -35. Let w = i - 17. Let c(h) = -h**2 + 1. Let o(n) = -8*n**2 - n + 9. Let x(y) = w*c(y) + 5*o(y). Factor x(t).
-5*(t - 1)*(t + 2)
Let t(g) = -56*g**2 - 4129*g + 1112. Let x be t(-74). Factor 3/4*f**x + 0*f - 3/4.
3*(f - 1)*(f + 1)/4
Suppose -19 = p - 21. Factor -12*h**2 + 29*h**p - 15*h**2 + 6*h.
2*h*(h + 3)
Let q(d) = 5*d**3 + 8*d**2 - 19 - 9*d**4 + 6*d**2 + 10 - 13*d**3. Let n(p) = -17*p**4 - 14*p**3 + 27*p**2 - 17. Let a(u) = 4*n(u) - 7*q(u). Solve a(z) = 0.
-1, 1
Suppose s - 3*n - 6 = 0, 10*s - 4 = 8*s + 2*n. Let v(o) be the second derivative of 5/2*o**2 + 5/2*o**3 - 14*o + s - 5/3*o**4. Solve v(p) = 0.
-1/4, 1
Let y(p) = -6*p**3 - 2*p**2 - 9*p - 9. Let m be y(-5). Let v = 8098/11 - m. Determine z so that -6/11 - v*z**3 - 2/11*z**2 + 10/11*z = 0.
-3, 1
Let k(h) = -85*h**4 - 51*h**3 - 120*h**2 - 28*h - 42. Let t(y) = 4*y**4 + y**2 - y + 2. Let u(b) = 4*k(b) + 84*t(b). Factor u(x).
-4*x*(x + 1)**2*(x + 49)
Suppose 3 - 63 = -5*o. Let a(j) = -2*j**3 - j + 1. Let i(k) = -2*k**4 - 14*k**3 + 6*k**2 + 80*k - 58. Let g(y) = o*a(y) + 2*i(y). Determine t so that g(t) = 0.
-13, -2, 1
Let j be (-708)/(-354) + (7 - 6). Factor 2/5*p**j + 2*p + 0 - 1/5*p**4 + 13/5*p**2.
-p*(p - 5)*(p + 1)*(p + 2)/5
Let s(w) = -9*w**3 + 4010*w**2 + 7982*w + 4013. Let i(u) = 10*u**3 - 4012*u**2 - 7976*u - 4014. Let p(l) = -5*i(l) - 6*s(l). Let p(o) = 0. Calculate o.
-1, 1002
Suppose -278 + 2 = 129*i - 267*i. Factor -54/5*o - 3/5*o**i + 57/5.
-3*(o - 1)*(o + 19)/5
Find z, given that -1908*z + 2*z**2 + 1738*z + 34 + 3*z**2 - 70 - 139 = 0.
-1, 35
Let g(m) be the third derivative of -m**5/12 - 640*m**4/3 - 655360*m**3/3 - 2*m**2 + 14*m - 15. Factor g(k).
-5*(k + 512)**2
Let f(i) be the third derivative of 3*i**8/896 + 5*i**7/112 + 63*i**6/320 + 39*i**5/160 - 13*i**4/32 - 3*i**3/2 - i**2 - 80. Let f(x) = 0. Calculate x.
-4, -3, -1, 2/3
What is i in -4*i**2 + 40584*i - 20530*i - 992 - 20318*i = 0?
-62, -4
Let g(w) be the first derivative of -12*w**3 + 76*w**2 - 160*w + 964. What is j in g(j) = 0?
2, 20/9
Let s(v) = v**2 - v + 2. Let w = 26 - 24. Let c be s(w). Suppose 98 - 98 + c*y**2 = 0. What is y?
0
Let d(r) = -16*r**2 + 765*r - 738. Let c(a) = -7*a**2 + 381*a - 369. Let m(w) = -11*c(w) + 5*d(w). Let m(o) = 0. Calculate o.
-123, 1
Suppose 53 = w + 13. Let d be -1 - (39/(-4))/(15/w). Factor -4*m**2 - m**3 + 3*m**2 + m**2 + d - 15*m - 9*m**2.
-(m - 1)*(m + 5)**2
Let o be ((-18)/(-24))/(2/8) - 1. Suppose -58*u + 59 - 641*u**2 - 634*u**o + 1274*u**2 = 0. Calculate u.
-59, 1
Let x(m) be the second derivative of -1/3*m**4 + 3/35*m**5 + 16/7*m**2 + 0 + 63*m - 44/21*m**3. Factor x(k).
4*(k - 4)*(k + 2)*(3*k - 1)/7
Suppose 6963*p = 6509*p + 1362. Suppose 27/5*f**2 - 39/5*f**4 + 12/5 + 96/5*f + 9*f**5 - 141/5*f**p = 0. What is f?
-1, -2/15, 1, 2
Let r(l) be the second derivative of l**4/48 + 203*l**3/4 - 1219*l**2/8 + 6606*l. Solve r(z) = 0 for z.
-1219, 1
Suppose 5*w = -5*n + 1094 + 1211, n = 3*w - 1387. Let o be 3311/w - (-1)/(-2). Determine t, given that -8/3*t + 0 + o*t**3 + 8/3*t**4 + 4/3*t**2 = 0.
-2, -1, 0, 1/2
Let g = 3549 + -3543. Let x(o) be the second derivative of 0 + 3/5*o**5 - 6*o - g*o**3 - 1/10*o**6 - 27/2*o**2 + 1/2*o**4. Find j, given that x(j) = 0.
-1, 3
Let y(d) be the third derivative of d**9/9072 - d**7/2520 + d**3/6 - 2*d**2 - 61*d. Let v(n) be the first derivative of y(n). Determine r, given that v(r) = 0.
-1, 0, 1
Let f be ((-2478)/(-2))/(-7)*-2. Let m = -351 + f. Suppose -4/5 + 2/5*w**4 - 6/5*w**2 - 2*w + 2/5*w**m = 0. Calculate w.
-1, 2
Let s be 451/220 + (-25)/(325/26). Let l(t) be the second derivative of -1/12*t**4 - 2/3*t**3 + 2*t**2 + 0 - 21*t + s*t**5. Factor l(q).
(q - 2)*(q - 1)*(q + 2)
Let d(o) be the second derivative of -2*o**7/21 + 32*o**6/15 + 19*o**5 - 1142*o**4/3 - 14840*o**3/3 - 19600*o**2 + 2*o - 112. Suppose d(h) = 0. Calculate h.
-5, -2, 14
Let m(i) be the third derivative of -7/36*i**4 + 