2*c**3 + 58*c**2 - 60*c. Let t be g(a). Find i such that 3/4*i**2 + 3/2*i + t = 0.
-2, 0
Let p be (-20 + -2)/(40/(-160)). Suppose -p*q = -92*q. Determine c so that q + 4/7*c**2 + 0*c - 6/7*c**3 + 2/7*c**4 = 0.
0, 1, 2
Let q(p) be the third derivative of -p**7/70 + 9*p**6/40 - 3*p**5/10 - 7*p**4 + 3*p**2 - 11. Factor q(j).
-3*j*(j - 7)*(j - 4)*(j + 2)
Let s = 182 + -170. Let f be ((-10)/s)/(6/(-9)). Factor -f*m - m**2 + 0 + 1/4*m**3.
m*(m - 5)*(m + 1)/4
Suppose -4*k - r = -11, -5*r = 4*k - 26 + 3. Let n(j) = 2*j**2 - 127*j + 692. Let d be n(6). Solve t**4 + 10*t**3 + 24*t - 16*t**3 + k*t**4 - 12*t**d = 0 for t.
-2, 0, 2
Let o(c) be the third derivative of c**8/5040 - c**7/63 + 5*c**6/9 + c**5/30 + 9*c**3/2 - 3*c**2. Let g(j) be the third derivative of o(j). Factor g(i).
4*(i - 10)**2
Suppose -19*h + 2418 = 7*h. Let n be 10*(8/6)/(310/h). Factor 18/5*j**3 + 0*j**2 - 27/5*j + 1/5*j**5 + 8/5*j**n + 0.
j*(j - 1)*(j + 3)**3/5
Let b(v) = 8*v**3 + 2445*v**2 - 3688*v + 1229. Let x(z) = z**3 - 5*z + 1. Let h(c) = b(c) - 2*x(c). Factor h(u).
3*(u - 1)*(u + 409)*(2*u - 1)
Let -6*l - 334*l + 6*l**4 + 85*l**3 - 11*l**4 - 861 + 101 + 210*l**2 = 0. What is l?
-2, 2, 19
Let m(q) be the first derivative of -6*q**3/5 + 29*q**2/5 - 12*q/5 - 103. Factor m(l).
-2*(l - 3)*(9*l - 2)/5
Find y, given that 142*y**2 - 35*y**3 - 66*y**2 - 325*y + 264*y**2 - 210 - 310*y = 0.
-2/7, 3, 7
Let g(x) be the first derivative of 80 + 4*x**2 + 0*x + 4/3*x**3. Solve g(p) = 0.
-2, 0
Let n(r) be the first derivative of -r**3/5 - 27*r**2/10 + 66*r/5 + 2177. Suppose n(t) = 0. What is t?
-11, 2
Let j be (-762)/(-150) + (-18)/225. Let -1/3*o**4 + 20*o**2 - 32/3 - o**j + 38/3*o**3 - 8/3*o = 0. What is o?
-2, -1, 2/3, 4
Let f be (8/(-6))/(8/(-12)). Let u be (48/(-240))/(f/(-2)). Find m such that u*m**2 - 1/5*m**3 + 1/5*m - 1/5 = 0.
-1, 1
Suppose 36*c**4 - 57*c**3 - 36*c**2 - 17101*c**5 + 17098*c**5 + 57*c + 3*c = 0. What is c?
-1, 0, 1, 2, 10
Solve 0*i + 0 - 1872*i**3 - 4563/2*i**4 - 384*i**2 = 0.
-16/39, 0
Let w(b) = b**3 + 5*b**2 + 10*b + 14. Let u be w(-6). Let k be (-3)/2*41/u. Factor 0 + 1/4*l**3 - l**2 + k*l.
l*(l - 3)*(l - 1)/4
Suppose 30 - 28 = b. Suppose 4*f = -5*k + 140 + 45, 0 = 3*f - 15. Let k*d**b + 36*d + 28 - 29*d**2 + 4 = 0. What is d?
-8, -1
Let r(z) be the second derivative of z**5/10 - 617*z**4/6 + 31621*z**3 + 95481*z**2 - 43*z + 5. Factor r(k).
2*(k - 309)**2*(k + 1)
Let w(r) be the third derivative of -r**8/504 - 47*r**7/126 - 365*r**6/18 - 4639*r**5/36 - 1045*r**4/6 + 722*r**3 - 323*r**2 - 3. Find l, given that w(l) = 0.
-57, -2, 1/2
Let n(b) be the second derivative of 104*b + 0 - 125/6*b**3 - 11/4*b**5 - 1/6*b**6 - 20*b**2 - 45/4*b**4. Determine w so that n(w) = 0.
-8, -1
Suppose 0 = -2*y - 2*s + 4, s + 31 = 4*y + 8. Factor 4*w**3 - 17 - 16*w**2 + 41 + y*w - w.
4*(w - 3)*(w - 2)*(w + 1)
Let t(f) be the first derivative of -f**3/12 + 59*f**2/8 - 55*f - 1014. Factor t(a).
-(a - 55)*(a - 4)/4
Factor 23960/3*v**2 + 1280 - 19192/3*v + 50/3*v**3.
2*(v + 480)*(5*v - 2)**2/3
Let r(i) be the first derivative of 18 + 1/3*i**2 - 1/6*i**3 - 5/24*i**4 + 0*i + 1/10*i**5 + 1/36*i**6. Factor r(x).
x*(x - 1)**2*(x + 1)*(x + 4)/6
Let f(b) = -4*b + 74. Let v be f(14). Let -15*k**3 + 190*k - 568*k - 15*k**2 - 3*k**4 + 198*k + v + 195*k = 0. What is k?
-3, -2, -1, 1
Let c(x) = -x**2 + 29*x - 116. Suppose s - 4*h - 9 = -7*h, -95 = -5*s - 5*h. Let k be c(s). Solve 1/2*y**2 + 0 - 1/2*y**k + 1/4*y**5 - 1/4*y + 0*y**3 = 0.
-1, 0, 1
Let f(c) be the third derivative of -1/15*c**6 + 0*c + 11/30*c**5 + 0 + 1/4*c**4 + 0*c**3 + 51*c**2. Factor f(r).
-2*r*(r - 3)*(4*r + 1)
Let -602*x - 3*x**5 + 261*x**3 + 6*x**4 + 1068*x**2 + 991*x + 1003*x + 576 = 0. Calculate x.
-4, -1, 12
Let p(h) be the third derivative of -h**7/350 - 13*h**6/100 - 237*h**5/100 - 108*h**4/5 - 486*h**3/5 + 13*h**2 + 28. Solve p(q) = 0.
-9, -6, -2
Let i(p) = -p**2 - p. Let n(z) be the third derivative of -z**5/15 - 25*z**4/24 - 7*z**3/2 - 94*z**2. Let f(k) = -3*i(k) + n(k). Solve f(h) = 0.
-21, -1
Let -188*j**2 - 288*j**2 + 112 + 190*j**2 - 214*j**2 + 195*j**3 + 28*j**4 + 240*j - 75*j**3 = 0. What is j?
-7, -2/7, 1, 2
Solve -181/7*n**4 + 0 + 0*n + 0*n**3 + 1/7*n**5 + 0*n**2 = 0 for n.
0, 181
Let l be (56/(-7) + 7)/(-2 - -3). Let t be l + 146/16 - (-18 - -22). Factor 39/8*z**2 + t*z - 3/4.
3*(z + 1)*(13*z - 2)/8
Let i be ((-2)/6)/(3415/855 + -4). Let o be (-114)/i - 22/(-5). Factor -3/5*f**5 + o*f**2 + 0 - 18/5*f**3 + 12/5*f**4 - 3/5*f.
-3*f*(f - 1)**4/5
Let c(j) = j**3 + 5*j**2 + 50*j + 339. Let h be c(-6). Let x be ((-30)/(-9) - 3)*9. Solve 13*a**x - 7*a**3 + 19*a**h + 10*a**2 + 15*a**4 = 0 for a.
-1, -2/3, 0
Suppose 1195*i - 1202*i - 16 = -44. Let z(t) be the second derivative of -1/3*t**3 - 1/12*t**4 + i*t**2 - 33*t + 0. Determine l, given that z(l) = 0.
-4, 2
Find o such that 365/3*o**3 - 1105/3*o - 5/3*o**4 + 5*o**2 + 730/3 = 0.
-2, 1, 73
Suppose 31*x + 3120 = 61*x. Suppose 102*u = x*u. Factor -2/5*j**2 + 2/5*j**5 + 2/5*j**4 + u - 2/5*j**3 + 0*j.
2*j**2*(j - 1)*(j + 1)**2/5
Let p = -3 - -39. Determine u, given that 6076 - 24*u**4 + 4*u**5 - 6076 - 16*u**2 + p*u**3 = 0.
0, 1, 4
Let n(c) be the first derivative of -4*c**3/7 - 1066*c**2/7 - 1416*c/7 + 4253. Solve n(j) = 0 for j.
-177, -2/3
Let c = -50394 - -352806/7. Find b such that -c*b + 3/7*b**2 + 192/7 = 0.
8
Let o(i) be the second derivative of -4*i**6/195 + 159*i**5/130 - 934*i**4/39 + 2217*i**3/13 + 1782*i**2/13 - 42*i + 31. Determine r so that o(r) = 0.
-1/4, 9, 22
Let z(a) be the second derivative of -3*a**5/20 + 7*a**4 + 88*a. Let z(w) = 0. What is w?
0, 28
Let h be (-37 - -17)/360 + (1/15)/((-8)/(-20)). What is b in -4 + b + h*b**2 = 0?
-12, 3
Let w = 785941 + -785939. Suppose 8/13*n - 10/13*n**w - 18/13*n**3 + 0 = 0. Calculate n.
-1, 0, 4/9
Suppose 0 = 2*i - 4*j - 66, 34 = -2*i + 4*i + 4*j. Let y(s) = s**3 + 12*s**2 - 45*s + 8. Let r be y(-15). Let -5*f**2 - 12 - 2 + 2 - r + i*f = 0. Calculate f.
1, 4
Let p(a) = 285*a + 9*a**2 - 227*a + 9*a**2 - 24 - 6*a**3 + 6. Let k(v) = v**3 - v - 1. Let q(w) = -2*k(w) + p(w). Suppose q(c) = 0. Calculate c.
-2, 1/4, 4
Let t(q) be the second derivative of 21 + 0*q**4 + 0*q**2 + 0*q**5 + 0*q**3 - 5*q + 1/210*q**7 + 1/150*q**6. Factor t(r).
r**4*(r + 1)/5
Let c = 1570832 - 20420786/13. Factor -2/13*x**2 + c*x - 4.
-2*(x - 13)*(x - 2)/13
Let y = -27285/2 + 13643. Let i(v) be the second derivative of 14*v + y*v**3 - 1/16*v**4 + 15/8*v**2 + 0. Suppose i(l) = 0. Calculate l.
-1, 5
Let a(l) = -l**3 + 17*l**2 + 322*l + 20. Let p(r) = 2*r**3 - 36*r**2 - 644*r - 45. Let w(g) = -18*a(g) - 8*p(g). Factor w(c).
2*c*(c - 23)*(c + 14)
Let z(l) be the third derivative of -l**8/84 + 16*l**7/105 + 3*l**6/2 + 8*l**5/3 - 22*l**4/3 - 32*l**3 + 2*l**2 + 55*l. Determine g, given that z(g) = 0.
-2, -1, 1, 12
Suppose -960/7*t - 306/7*t**2 - 648/7 + 6/7*t**3 = 0. What is t?
-2, -1, 54
Let d(x) be the first derivative of 2*x**6/3 - 12*x**5/5 - x**4 + 4*x**3 + 781. Factor d(g).
4*g**2*(g - 3)*(g - 1)*(g + 1)
Let q(t) be the second derivative of -t**4/3 + 149*t**3/5 + 27*t**2 + 2596*t. Factor q(k).
-2*(k - 45)*(10*k + 3)/5
Let p = -28532 - -28535. Determine a, given that -2/5*a**2 + 2/5*a**p - 4/5*a + 0 = 0.
-1, 0, 2
Let a(h) be the first derivative of -2*h**5/5 + 9*h**4 + 42*h**3 + 6549. Factor a(v).
-2*v**2*(v - 21)*(v + 3)
Let r(y) be the second derivative of 0*y**2 + 2*y + y**4 + 2/3*y**3 + 3/5*y**5 - 5 + 2/15*y**6. Determine i so that r(i) = 0.
-1, 0
Let w(v) = -81 + 5*v**2 + 233*v**3 - 11*v**2 - 7*v**2 - 240*v**3 - 99*v. Let c(a) = -a**3 + a**2. Let n(z) = 6*c(z) - w(z). Factor n(j).
(j + 1)*(j + 9)**2
Let z(o) = o**2 - 18*o + 84. Let l be z(9). Let v(f) be the first derivative of 2/3*f**2 + 10 - 14/9*f**l + 0*f + 5/6*f**4. Factor v(n).
2*n*(n - 1)*(5*n - 2)/3
Let q(y) = 205*y - 320. Let c be q(7). Let h = -1113 + c. Solve 34/7*n**h + 12/7 + 2*n**3 + 34/7*n + 2/7*n**4 = 0 for n.
-3, -2, -1
Let p(k) be the third derivative of k**6/24 - 3*k**5/2 - 95*k**4/24 - 1527*k**2. Find h such that p(h) = 0.
-1, 0, 19
Let g(m) be the third derivative of m**7/8820 + m**6/140 - 23*m**4/6 - 2*m**2 + 65*m. Let s(r) be the second derivative of g(r). Factor s(u).
2*u*(u + 18)/7
Factor -67*b**2 - 474 + 0*b**2 - 6 + 28*b**2 + 3126*b.
-3*(b - 80)*(13*b - 2)
Let t be 3*