n**2 + 131*n**4 - 170*n + 136*n**4 = 0.
-13, -3, -1/2, 2/7
Factor -32*q**2 + 795*q + 61*q**2 - 32*q**2 - 293 + 1091.
-3*(q - 266)*(q + 1)
Let g(p) be the second derivative of p**7/105 - 2*p**6/15 + 21*p**5/50 + 1647*p. Let g(t) = 0. What is t?
0, 3, 7
Let c(s) = -28*s**2 - 3*s - 2. Let m be c(3). Let q = m - -542. Factor 0*w**2 + 17*w**2 - 291 + q + 5*w**3 + 8*w.
(w + 2)**2*(5*w - 3)
Let z(b) be the second derivative of b**6/165 + 2197*b**5/110 + 268278*b**4/11 + 131276880*b**3/11 + 392223168*b**2/11 + 9*b - 56. Factor z(f).
2*(f + 1)*(f + 732)**3/11
Let o(c) be the first derivative of -9*c**5/35 + 19*c**4/28 + 46*c**3/21 - 4*c**2 + 2496. Suppose o(t) = 0. What is t?
-2, 0, 1, 28/9
Let o(w) be the second derivative of 3*w**5/4 + 61*w**4/4 - 53*w**3/2 - 39*w**2/2 + w - 6497. Determine f so that o(f) = 0.
-13, -1/5, 1
Let z = -550 - -554. Let d(s) be the first derivative of 0*s - 10*s**3 - 14 - 9/2*s**z - 2/5*s**5 + 25*s**2. Determine y, given that d(y) = 0.
-5, 0, 1
Suppose -2*r = p + 6, 0*r - 16 = 4*r. Suppose 5*b + b**p + 3*b**2 + 13*b - 6 - 4 = 0. Calculate b.
-5, 1/2
Factor -729/2 + 3/4*d**2 + 723/4*d.
3*(d - 2)*(d + 243)/4
Let k(m) = -4*m + 5. Let n be k(0). Suppose -3*z = -n*z + 6. Factor -6*j**z + 6*j**4 - 2*j**5 - 28*j**2 + 17*j**2 + 13*j**2.
-2*j**2*(j - 1)**3
Let a be ((1243/(-132) - 5) + 15)/(378/(-192) + 2). Determine r so that 725/3*r + 1682/3 + 1/3*r**3 - a*r**2 = 0.
-2, 29
Let u be (27 - -3)*(-1263)/(-5894). Suppose -u*s**3 - 129/7*s**2 - 127/7*s - 6 - 1/7*s**4 = 0. Calculate s.
-42, -1
Let c(p) be the first derivative of -2*p**3 + 0*p + 0*p**4 - 1/2*p**6 + 6/5*p**5 + 3/2*p**2 + 37. Factor c(h).
-3*h*(h - 1)**3*(h + 1)
Let d(i) be the first derivative of -32/5*i + 7/2*i**4 + 12/25*i**5 + 16/3*i**3 - 4*i**2 - 87. Let d(q) = 0. What is q?
-4, -2, -1/2, 2/3
Factor 0 + 16/3*j + 38/3*j**2 - 5/3*j**3.
-j*(j - 8)*(5*j + 2)/3
Let u(t) = -11*t**2 + 4*t + 5. Let m(h) = -17*h**2 + 14*h + 2. Let i(v) = -v**2 + 2*v - 1. Let c(k) = 4*i(k) - m(k). Let j(q) = -5*c(q) - 6*u(q). Factor j(x).
x*(x + 6)
Suppose 4*s - 1 = 5*h + 1, 4*h + 7 = 5*s. Suppose 42 + 123*i**2 + 18 - 118*i**h + 65*i = 0. Calculate i.
-12, -1
Let p(j) be the first derivative of -j**6/24 - 5*j**5/4 + 111*j**4/16 - 143*j**3/12 + 29*j**2/4 + 2307. Suppose p(t) = 0. Calculate t.
-29, 0, 1, 2
Let y(n) = 2*n**2 + 2269*n - 41490. Let g be y(18). Factor 2/5*p**3 + 0*p**2 + 0*p + g + 0*p**4 - 2/5*p**5.
-2*p**3*(p - 1)*(p + 1)/5
Let n(f) be the first derivative of -6*f**5 + 95*f**4/4 + 320*f**3/3 - 155*f**2/2 - 350*f - 757. Solve n(k) = 0.
-2, -1, 7/6, 5
Suppose -108*o = -139*o + 62. Let p(w) be the third derivative of 0*w + 1/6*w**4 - 2/15*w**5 - 8*w**o + 4/3*w**3 - 1/30*w**6 + 0. Determine s so that p(s) = 0.
-2, -1, 1
Suppose 2*p + 5*l - 18 = 0, 0*l = -3*p - 5*l + 22. Find y such that 148*y**2 - 180*y**3 + 48*y - 7*y**4 + 0*y**p - 9*y**4 = 0.
-12, -1/4, 0, 1
Let q(c) = 8*c**2 + 81*c + 207. Let l(t) = -3*t**2 - 26*t - 68. Let k(o) = 11*l(o) + 4*q(o). Factor k(p).
-(p - 40)*(p + 2)
Suppose v**4 - 314 + 11*v**4 - 10 - 153*v**2 - 75*v**3 + 9*v**4 + 675*v = 0. What is v?
-3, 4/7, 3
Let o(m) = m**3 + 15*m**2 - 228*m - 36. Let w be o(-24). Let y be (-1413)/w*-7 + -9. What is s in 21*s + y*s**2 + 5 + 33/2*s**3 + 9/4*s**4 = 0?
-5, -1, -2/3
Let u(y) be the third derivative of -2*y**7/105 - 2*y**6/5 - 43*y**5/15 - 10*y**4 - 56*y**3/3 - 196*y**2. Factor u(d).
-4*(d + 1)*(d + 2)**2*(d + 7)
Let c(w) = 5*w**2 - 3*w. Let j = 9 + -5. Let k(f) = 6*f**2 - 2*f. Let l(i) = j*c(i) - 3*k(i). Factor l(z).
2*z*(z - 3)
Factor 2384/3*g - 2/9*g**2 - 710432.
-2*(g - 1788)**2/9
Let l be (2/(-4))/(12/(-1272)). Suppose r + 291 = 4*r. Solve k - k**3 + l*k**2 - k**4 - r*k**2 + 45*k**2 = 0.
-1, 0, 1
Let d = -1879 + 1904. Suppose 76 = d*r - 6*r. Let 0 + 3/4*h**r - 21/4*h**2 + 0*h**3 + 9/2*h = 0. What is h?
-3, 0, 1, 2
Let h be 0 + (12/10)/((-6)/20). Let i be ((1 - 2) + 2)/(h/(-12)). Let 0*w**2 - 5*w**2 + 13*w - 375*w**i + 370*w**3 - 3*w = 0. What is w?
-2, 0, 1
Let k(d) be the first derivative of -d**6/48 - 11*d**5/20 - 23*d**4/4 - 92*d**3/3 - 88*d**2 - 128*d + 2665. Factor k(u).
-(u + 2)*(u + 4)**3*(u + 8)/8
Factor 588/5*j**2 - 387/5*j - 402/5*j**3 - 3/5*j**5 + 96/5 + 108/5*j**4.
-3*(j - 32)*(j - 1)**4/5
Let a(r) be the second derivative of -4*r**4/3 - r**3 - 4*r**2 + 30*r + 1. Let m(q) = -q**2 + 2*q. Let i(x) = -a(x) + 10*m(x). Determine t, given that i(t) = 0.
-4, -1/3
Let z be 58/18 - (-6)/(-27). Suppose 0 = z*q, 5*p - 4 = 4*q + 6. Suppose 10*h + 2*h**3 + 7*h**2 - 7*h - h**p + h = 0. Calculate h.
-2, -1, 0
Suppose 8*t + 0 = 16. Suppose -t*w - 2*h - 15 = -3*w, 5*h = 3*w - 40. Let -3*g - 9*g + w*g**2 + 2*g - 25*g = 0. Calculate g.
0, 7
Let n = 7981 - 7977. Let x(p) be the third derivative of 0*p - 49/18*p**3 - 1/180*p**5 + 7/36*p**n + 0 + 16*p**2. Factor x(l).
-(l - 7)**2/3
Determine b, given that -6/5*b**3 - 116/5*b**2 - 146/5*b - 36/5 = 0.
-18, -1, -1/3
Let j(o) be the first derivative of 2*o**3/3 - 1044*o**2 + 2086*o - 14091. Find r, given that j(r) = 0.
1, 1043
Solve -1/4*d**2 - 193/4*d + 97/2 = 0.
-194, 1
Let q(x) be the second derivative of x**7/189 + 11*x**6/270 + 7*x**5/180 - 13*x**4/54 - 4*x**3/9 + 2*x - 15. Find n, given that q(n) = 0.
-4, -2, -1, 0, 3/2
Let v be ((-28)/70 + 18/20)*(-24)/(-48). Factor -7/4 + v*t**2 + 3/2*t.
(t - 1)*(t + 7)/4
Let l(p) be the second derivative of 0 + 28/15*p**3 + 104*p + 0*p**2 + 1/75*p**6 - 4/5*p**4 + 3/50*p**5. Factor l(n).
2*n*(n - 2)**2*(n + 7)/5
Factor 676*y**2 + 2/11*y**4 + 6962/11 + 240/11*y**3 + 14160/11*y.
2*(y + 1)**2*(y + 59)**2/11
Suppose 16/5 + 1/5*n**4 - 8/5*n**3 + 16/5*n + 1/5*n**5 - 8/5*n**2 = 0. Calculate n.
-2, -1, 2
Factor -155/7*q + 1/7*q**3 - 150/7 - 4/7*q**2.
(q - 15)*(q + 1)*(q + 10)/7
Let n be (-88)/22*(72/(-8) + 8). Let x(z) be the third derivative of 0 + 1/14*z**3 + 0*z**n + 0*z - 1/140*z**5 - 2*z**2. Solve x(l) = 0.
-1, 1
Let o = 3029/41622 - 4/2973. Let m(d) be the second derivative of 5/84*d**4 - 1/140*d**5 - 9/14*d**2 - 26*d + 0 - o*d**3. Find r such that m(r) = 0.
-1, 3
Factor -25*w**3 - 10*w**2 + 831 - 1829 + 100*w + 1038.
-5*(w - 2)*(w + 2)*(5*w + 2)
Suppose 4*s = -2*i + 184, -5*i - 2*s + s + 496 = 0. Let r be 5*((-584)/i - -6). Factor -1/5*p**2 + r*p - 4/5.
-(p - 2)**2/5
Let z = -342 - -347. Factor -29*u**3 + 5*u**4 + 5*u - 22*u**3 - z*u**2 + 46*u**3.
5*u*(u - 1)**2*(u + 1)
Let f(h) = -h**3 - 36*h**2 - 29*h + 211. Let j be f(-35). Let k be (4 + -1 - 3)/(3 - j). Suppose k - 2/5*a**2 + 0*a - 2/5*a**4 + 4/5*a**3 = 0. Calculate a.
0, 1
Suppose 1/3*a**4 - a**3 - 10 - 9*a**2 + 59/3*a = 0. What is a?
-5, 1, 6
Let i(n) be the second derivative of -n**3/2 + n**2 - 12*n. Let j be i(-1). Factor -41*o**3 + 2*o**5 + 53*o**3 - 8*o**4 + 2*o - 8*o**2 + 0*o**j.
2*o*(o - 1)**4
Find s, given that -13*s - 4317*s**3 - 40*s + s**4 + 5*s + 4284*s**3 + 2*s**4 + 78*s**2 = 0.
0, 1, 2, 8
Let n = -98284183/17889015 - 2/210459. Let d = -39/17 - n. Find b, given that 0*b**2 + 4/5*b**3 - 1/5*b**4 + 16/5 - d*b = 0.
-2, 2
Let f = -54/23 - -484/69. Let v = -1/47 - -97/141. Factor -2*a - 12 + f*a**3 + 26/3*a**2 + v*a**4.
2*(a - 1)*(a + 2)*(a + 3)**2/3
Factor 126*o**2 - 496*o**2 + 123*o**2 + 126*o**2 + 484*o + 125*o**2 + 5232.
4*(o + 12)*(o + 109)
Let b(g) be the first derivative of -g**6/3 - 6*g**5/5 + 39*g**4/2 + 230*g**3/3 - 150*g**2 + 1176. Let b(o) = 0. What is o?
-5, 0, 1, 6
Factor -1248*m**2 + 60*m**3 + 768*m + 59*m**3 + 384*m - 2*m**4 - 21*m**3.
-2*m*(m - 24)**2*(m - 1)
Let k(f) = -270*f**2 + 2163*f - 34. Let l(u) = 2970*u**2 - 23792*u + 371. Let g(r) = -23*k(r) - 2*l(r). Factor g(a).
5*(a - 8)*(54*a - 1)
Let f be 1/(-3) + (1136/(-120) - -12) + -2. Let k(t) be the first derivative of -3/10*t**2 + f*t**3 - 16 - 3/5*t + 3/20*t**4. Factor k(b).
3*(b - 1)*(b + 1)**2/5
Suppose 0 = -4*l - 41 + 17. Let a(f) = 4*f**3 - 26*f**2 - 117*f - 123. Let j(p) = -2*p**3 + 14*p**2 + 59*p + 61. Let q(v) = l*a(v) - 10*j(v). Factor q(o).
-4*(o - 8)*(o + 2)**2
Solve 494/3*d**3 + 1310/3*d**2 + 236*d - 2/3*d**5 - 110/3*d**4 + 0 = 0 for d.
-59, -1, 0, 6
Suppose 62 = -4*o - 7*h, -110*o = -112*o + 2*h + 24. Factor 2058/11 - 882/11*g + 126/11*g**o - 6/11*g**3.
-6*(g - 7)**3/11
Let i(a) be the first derivative of 4/5*a**5 - 8*a**3 + 0*a - 244 - 16*a**2 + 3*a**4. Find n such that i(n) = 0.
-4, -1