1305 + 1902 = 199*c. Solve -64/11 - 156/11*i**2 + 10/11*i**4 + 224/11*i - 14/11*i**c = 0.
-4, 2/5, 1, 4
Let r(p) be the first derivative of -p**4/8 + 11*p**3/6 + 101*p**2 + 378*p + 9943. Factor r(h).
-(h - 27)*(h + 2)*(h + 14)/2
Let n be (-394 - -391)/(5 + (-10)/10 + 1 + -6). Let 9/2*i**2 + 2 + 1/2*i**n - 1/2*i**4 + 11/2*i = 0. Calculate i.
-1, 4
Let v = 729 + -579. Factor 5*p**3 - v + 19*p**2 - 82*p + p**2 + 27*p.
5*(p - 3)*(p + 2)*(p + 5)
Let l be 1 + 3/(-60)*-28. Let b = -83/5 - -87/5. Factor l*i**4 + 0*i - 12/5*i**3 + 4/5*i**2 - b*i**5 + 0.
-4*i**2*(i - 1)**3/5
Let u(g) be the third derivative of g**6/1320 + 13*g**5/330 - 29*g**4/88 + 2*g**2 + 139. Factor u(h).
h*(h - 3)*(h + 29)/11
Factor 2011*v**2 - 15131*v**2 + 4827*v + 4*v**5 - 328*v**4 + 1573*v + 7044*v**3.
4*v*(v - 40)**2*(v - 1)**2
Let x(i) = 7*i - 4. Let l be x(-3). Let w be -16*(l/20 + 1). Factor -148*v**2 + 28*v**w - 10*v - 24 - 53*v + 5*v - 66*v - 20*v**3.
4*(v - 3)*(v + 1)**2*(7*v + 2)
Let s(v) = 3*v**3 - 15*v**2 + 12*v + 27. Let j(a) = a. Suppose 3*r = 9*r - 6. Let q(x) = r*s(x) - 3*j(x). Factor q(h).
3*(h - 3)**2*(h + 1)
Let u be (-1)/5*-55 - 773. Let c = u + 762. Solve 2/7*n**3 + c*n**2 - 6/7*n + 4/7 = 0.
-2, 1
Determine q, given that -2/7*q**3 + 0 - 8/7*q**2 + 0*q = 0.
-4, 0
Let b(q) = q**3 + q**2 + 2*q + 1. Let o(l) = 8*l**3 + 732 - 130*l - 23*l - 248*l - 377*l + 88*l**2. Let k(d) = 20*b(d) - 2*o(d). Let k(t) = 0. Calculate t.
1, 19
Suppose -i - 9*j - 2080 = -10*j, -2*j - 2071 = i. Let h = -2077 - i. Factor 2*w**3 - 2*w**4 + 0 - 2/3*w**2 + h*w + 2/3*w**5.
2*w**2*(w - 1)**3/3
Let k be -1 + -1 - 12/(4 + -6). Factor 2069*i + 3859*i + 121*i**3 - 312 - 3194*i**2 - 2*i**k - 2341 + 35*i**3 - 235.
-2*(i - 38)**2*(i - 1)**2
Let j(m) be the first derivative of 1/4*m**3 + m**2 - 1/20*m**5 + 8 - 1/8*m**4 + m. Determine c, given that j(c) = 0.
-2, -1, 2
Let z(k) be the first derivative of -k**5/10 - k**4/2 + 37*k**3 - 287*k**2 + 931*k/2 - 319. Determine f, given that z(f) = 0.
-19, 1, 7
Let f(s) be the first derivative of 43*s**2/2 - 514*s - 653. Let i be f(12). Factor 0 + 2/9*p + 2/3*p**i.
2*p*(3*p + 1)/9
Let r be 607 + ((-5)/45)/((-2)/18). Let i = r + -606. Factor i*j + 2 + 1/2*j**2.
(j + 2)**2/2
Let f(g) be the second derivative of g**6/60 - 8*g**5/15 + 19*g**2/2 - 136*g. Let x(k) be the first derivative of f(k). Factor x(s).
2*s**2*(s - 16)
Let c be -24*(-2)/1*34/136. Let p(l) be the second derivative of -4/3*l**4 + 2/15*l**6 + 8/3*l**3 + 0*l**2 - c*l + 0 + 0*l**5 - 1/42*l**7. Factor p(k).
-k*(k - 2)**3*(k + 2)
Let y = -1012 - -1016. Suppose 0 = 22*r - 20*r - y*w + 8, -5*r - w + 13 = 0. Factor -2/5*m**r + 2/5*m + 0.
-2*m*(m - 1)/5
Let w(x) be the first derivative of 5*x**4/4 + 200*x**3/3 + 165*x**2/2 - 1170*x - 2168. Factor w(r).
5*(r - 2)*(r + 3)*(r + 39)
Let j(p) be the second derivative of p**4/3 - 466*p**3 - 1400*p**2 - 739*p - 2. Factor j(d).
4*(d - 700)*(d + 1)
Let o(j) be the third derivative of 8*j**7/525 + 19*j**6/100 + 71*j**5/150 - 2*j**4 - 16*j**3/15 - 891*j**2. What is i in o(i) = 0?
-4, -1/8, 1
Let -576738/7 - 2148/7*i - 2/7*i**2 = 0. What is i?
-537
Factor -50*d - 24*d**2 - 43*d + 3*d**4 - 27 + 10*d**3 - 37*d + 7*d + 33*d.
(d - 3)*(d + 3)**2*(3*d + 1)
Let i(n) = -28*n**3 + n**2 + 5*n. Let u be i(-3). Let -1197*l + 0*l**5 - u - 38*l**4 - 276*l**3 - 2*l**5 - 253*l - 588*l**2 - 352*l**2 = 0. Calculate l.
-5, -3, -1
Suppose 74*i = 76*i + 278. Let w = 835/6 + i. Factor -1/3*a + 1/6 + w*a**2.
(a - 1)**2/6
Let h be (2/(-32))/(828/(-2208)). Let q(s) = -3*s + 9. Let w be q(2). Factor 1/6 - 1/6*g - 1/6*g**2 + h*g**w.
(g - 1)**2*(g + 1)/6
Let o(g) = g**3 - 23*g**2 + 3*g - 26. Let a be o(26). Suppose a = -d + 2082. Factor 1 - 6/5*r + 1/5*r**d.
(r - 5)*(r - 1)/5
Suppose -560 + 145 = -112*l - 191. Determine n, given that 1/7*n**l - 17/7 + 16/7*n = 0.
-17, 1
Let c(g) = -15*g + 3 + 2*g**4 + 12*g**2 + 4*g**3 - 14*g**2 - 11*g**2. Let s(v) = v**2 + v - 1. Let k(r) = 2*c(r) + 6*s(r). What is w in k(w) = 0?
-3, -1, 0, 2
Let m(t) be the first derivative of -t**4/5 - 64*t**3/15 - 138*t**2/5 - 216*t/5 - 1674. Suppose m(n) = 0. What is n?
-9, -6, -1
Let n = -717939/8 - -89612. Let v = -130 - n. Factor -v*k**3 + 3/8*k**2 - 1/8*k + 1/8*k**4 + 0.
k*(k - 1)**3/8
Let c(q) be the second derivative of -1/6*q**4 - 1/50*q**5 + 0 + 1/15*q**3 + q**2 + 37*q. Find z, given that c(z) = 0.
-5, -1, 1
Let i(v) be the third derivative of v**5/210 - 149*v**4/7 + 266412*v**3/7 - 4671*v**2. Suppose i(f) = 0. Calculate f.
894
Let a(n) be the second derivative of -3*n**5/28 - 9*n**4/28 + 5*n**3/14 + 27*n**2/14 - 36*n - 7. Suppose a(c) = 0. Calculate c.
-9/5, -1, 1
Let n(i) be the first derivative of 2*i**5/45 + 5*i**4/18 - 14*i**3/27 - 5*i**2/9 + 4*i/3 - 1354. Solve n(t) = 0 for t.
-6, -1, 1
Let n(y) = 22*y**3 + 2132*y**2 + 2494*y + 522. Let x(c) = -45*c**3 - 4264*c**2 - 4963*c - 1043. Let d(v) = -13*n(v) - 6*x(v). Let d(b) = 0. What is b?
-132, -1, -1/4
Let q(o) be the third derivative of -o**2 - 68/3*o**3 + 0*o + 1/15*o**5 + 5/2*o**4 + 0. Let q(m) = 0. What is m?
-17, 2
Let y(c) be the first derivative of -c**3/21 - 66*c**2/7 - 512*c/7 + 2861. Factor y(o).
-(o + 4)*(o + 128)/7
Let c = -357663 + 357663. Determine h so that c - 3/5*h**2 + 0*h - 6*h**3 = 0.
-1/10, 0
Let c(w) be the first derivative of -256 + 16/3*w**3 + 8/3*w + 13/6*w**4 + 17/3*w**2 + 4/15*w**5. Solve c(g) = 0.
-4, -1, -1/2
Let t(s) be the first derivative of -149 - 11/3*s**2 + 0*s - 1/18*s**4 + 68/27*s**3. Factor t(j).
-2*j*(j - 33)*(j - 1)/9
Let o(d) be the second derivative of 1/20*d**5 + 0*d**4 + 0*d**2 + 3 + 0*d**3 - 3*d - 1/90*d**6. Solve o(z) = 0.
0, 3
Suppose -3*x - 4*x + 140 = 0. Let r(j) = -x*j - 3*j + 29*j**2 - 36 - 7*j - 26*j**2. Let h(o) = -1. Let z(i) = 3*h(i) - r(i). Factor z(n).
-3*(n - 11)*(n + 1)
Find o, given that 0 - 358/9*o**2 - 88/9*o**3 - 8/3*o = 0.
-4, -3/44, 0
Let o(b) = -3*b**3 + b**2 + 4*b + 1. Let k(l) = 4*l**4 - 79*l**3 + 621*l**2 - 1652*l + 1097. Let v(g) = -k(g) - 3*o(g). Solve v(x) = 0.
1, 5, 11
Let t = 20399/9216 - -9/1024. Let o(r) be the first derivative of -7/6*r**4 + 16/9*r + t*r**2 - 15 + 4/27*r**3 - 2/5*r**5. Let o(d) = 0. Calculate d.
-2, -2/3, 1
Let z(b) be the second derivative of 1/16*b**4 - 1/4*b**3 + 0*b**2 - 38*b + 0. Factor z(v).
3*v*(v - 2)/4
Suppose -5*b + 4 = 3*f, -33*f + 28*f = 2*b + 6. Let m(v) be the first derivative of -3/14*v**b + 4/7*v**3 - 36 - 2/7*v - 1/4*v**4. Factor m(g).
-(g - 1)**2*(7*g + 2)/7
Solve -18/5*f - 52/5*f**2 + 468/5 + 2/5*f**3 = 0.
-3, 3, 26
Let x(n) = -n**3 - 14*n**2 + 74*n + 43. Let t be x(-18). Let l(b) be the first derivative of 9/7*b - 3/7*b**2 - t + 1/21*b**3. Let l(f) = 0. What is f?
3
Let d be 332 + -301 + (-339)/11. Let v = -3/344 + 3473/3784. Factor 4/11 - 2/11*l**3 + 6/11*l**2 + v*l - d*l**4.
-2*(l - 2)*(l + 1)**3/11
Let n(q) be the third derivative of q**8/420 - 64*q**7/525 + 44*q**6/75 - 26*q**5/75 - 89*q**4/30 + 116*q**3/15 - 665*q**2 - 2*q. Solve n(x) = 0 for x.
-1, 1, 2, 29
Determine m so that -5*m**4 - 480*m + 95*m**3 - 123*m**2 - 115*m**2 - 142*m**2 = 0.
-1, 0, 8, 12
Suppose 513*m = 516*m - 6. What is k in 23 - 30*k**4 + 5*k**5 - 19*k**3 + 14*k**m - 255*k - 11*k**3 + 206*k**2 + 67 = 0?
-3, 1, 6
Let b be 2983/114 + -27 + (-17)/(-6). Solve -2/3 - 2/3*n**b - 4/3*n = 0.
-1
Factor 1/3*p**3 + 173/3 + 175/3*p**2 + 347/3*p.
(p + 1)**2*(p + 173)/3
Let m(s) be the first derivative of 1/18*s**3 + 1/30*s**5 - 1/12*s**2 + 7/72*s**4 + 21 + 18*s. Let k(q) be the first derivative of m(q). Factor k(l).
(l + 1)**2*(4*l - 1)/6
Let p(j) be the first derivative of -19 - 3/4*j**4 + 0*j - j**3 + 0*j**2. Let p(i) = 0. What is i?
-1, 0
Find y such that -32*y**3 + 58*y**3 + 2*y**4 - 2*y**5 - 108*y**2 + y**5 + 9*y - 54 + 126*y = 0.
-6, 1, 3
Suppose -3*x + 16*x = 221. Let k be (8 - x) + 6 - -5. Find n such that 3 - 1/2*n**3 + 0*n**k + 7/2*n = 0.
-2, -1, 3
Let l(a) = -a**3 + 6*a**2 - 25. Let j be l(5). Let m be (2 + -2)/(0 - -2). Factor m - 1/4*s**4 - 1/2*s**3 - 1/4*s**2 + j*s.
-s**2*(s + 1)**2/4
Let w(v) = -70*v**3 + 1775*v**2 + 7085*v - 8960. Let l(x) = -5*x**3 + 127*x**2 + 506*x - 640. Let j(k) = 85*l(k) - 6*w(k). Factor j(f).
-5*(f - 32)*(f - 1)*(f + 4)
Factor 61*z**2 + 62*z**2 - 246*z**2 + 60*z**2 + 56*z**2 - 15*z**3 - 2*z**4.
-z**2*(z + 7)*(2*z + 1)
Suppose 119*r - 140*r = -98