first derivative of -7/3*t - 5 - t**3 - 5/2*t**2 - 1/12*t**4. What is v in x(v) = 0?
-7, -1
Let m(s) be the third derivative of -5*s**2 - 8/3*s**3 + 0*s + 0 + 1/5*s**5 + 0*s**4 + 1/30*s**6. Factor m(j).
4*(j - 1)*(j + 2)**2
Let i = -8233 - -8233. Let n(j) be the second derivative of -1/10*j**4 + 22*j + 0 + 6/25*j**5 + 1/5*j**6 + 0*j**3 + i*j**2. Factor n(w).
6*w**2*(w + 1)*(5*w - 1)/5
Factor -728/3*r**2 + 4/3*r**3 + 3565/3*r - 1475.
(r - 177)*(2*r - 5)**2/3
Let z = 16 + 624. Factor -4520*o**2 + 50*o**5 - 465*o**4 + 2464*o**3 + 3360*o - z - 15*o**5 - 234*o**3.
5*(o - 4)**3*(o - 1)*(7*o - 2)
Let l(m) = -2*m**3 - 49*m**2 - 35*m - 262. Let i be l(-24). Let n(a) be the second derivative of 1/24*a**4 + a + 3 - 1/40*a**5 + 0*a**3 + 0*a**i. Factor n(z).
-z**2*(z - 1)/2
Let i(c) be the first derivative of c**3/7 + 21*c**2/2 - 3366*c/7 - 13889. Solve i(q) = 0.
-66, 17
Let o be 2/(-18) + (-724)/(-36). Suppose 0 = -4*r + o - 8. Factor -u - 11*u**3 + 4*u + 5*u**3 + r*u**5.
3*u*(u - 1)**2*(u + 1)**2
Let q(u) be the third derivative of 0*u**3 - 7/160*u**6 + 1/16*u**5 + 0*u - 2 - 7*u**2 + 1/16*u**4. Factor q(b).
-3*b*(b - 1)*(7*b + 2)/4
Let f = -487705 - -1463164/3. What is k in 0 + f*k - 1/3*k**2 = 0?
0, 49
Let q be 2/((-6)/(-27)) - -3. Let y(n) = -n + 14. Let h be y(q). Factor 8*t**2 + 32*t + 14 + h + 12*t**2 + 4*t**3.
4*(t + 1)*(t + 2)**2
Let j = -16594 + 16594. Let a(k) be the third derivative of 0*k + 1/24*k**6 - 1/6*k**5 + j*k**3 + 5/24*k**4 + k**2 + 0. Factor a(v).
5*v*(v - 1)**2
Let v(s) be the second derivative of 2/3*s**3 - 24 + 4/3*s**2 - 3*s + 1/6*s**4 + 1/60*s**5. Factor v(j).
(j + 2)**3/3
Find c such that -5/2*c**2 + 721 + 3603/2*c = 0.
-2/5, 721
Let p(i) be the third derivative of 125*i**8/1008 + 5*i**7/14 - 13*i**6/12 + 43*i**5/45 - i**4/3 - 3*i**2 - 271*i + 1. Factor p(u).
u*(u + 3)*(5*u - 2)**3/3
Let o be 42/6 + 1132 + -1. Let a = o + -7822/7. What is y in -48/7*y - a - 4/7*y**2 = 0?
-6
Let l(w) be the second derivative of -w**5/90 + 10*w**4/9 - 16*w**3 + 832*w**2/9 - 414*w. Suppose l(p) = 0. Calculate p.
4, 52
Determine l, given that 2/7*l**3 + 696/7 + 704/7*l + 26*l**2 = 0.
-87, -2
Let x(j) be the third derivative of 1/90*j**4 - 63*j**2 + 0*j + 0 - 1/450*j**5 + 0*j**3. Factor x(u).
-2*u*(u - 2)/15
Let v be 10/15*(-18)/(-12) - -471. Let q be (-16)/(-9) + -2 + v/180. Find h such that q*h**2 - 24/5 - 28/5*h = 0.
-2/3, 3
Let p(w) be the first derivative of -3*w**4/2 + 56*w**3/3 + 92*w**2 + 96*w - 8906. Factor p(f).
-2*(f - 12)*(f + 2)*(3*f + 2)
Let s = 44/3 + -14. Suppose -m - 3 + 30 = 3*g, g + 7 = 5*m. Factor 4/3 + 2/3*w - 4/3*w**2 - s*w**m.
-2*(w - 1)*(w + 1)*(w + 2)/3
Let k = 4484755/2883051 - 1/320339. Factor k*a**3 + 22/9*a - 32/9*a**2 - 4/9.
2*(a - 1)**2*(7*a - 2)/9
Suppose 14*d - 210 = -238. Let k be (3 + d)*(-124)/(-31). Solve -4/3*h + 10/3*h**2 - 10/3*h**k + 0 + 4/3*h**3 = 0 for h.
-1, 0, 2/5, 1
Let n(r) be the third derivative of -13*r**5/120 - 11*r**4/4 - 5*r**3/3 - 662*r**2 - 1. Factor n(k).
-(k + 10)*(13*k + 2)/2
Let i(s) be the second derivative of 28 + 21/2*s**2 + 1/98*s**7 + 53/14*s**4 + s + 19/2*s**3 - 11/70*s**6 + 3/14*s**5. Determine h so that i(h) = 0.
-1, 7
Let v(q) be the third derivative of -q**5/15 + 61*q**4/12 + 55*q**3 - 7420*q**2. Factor v(y).
-2*(y - 33)*(2*y + 5)
Let d(x) be the third derivative of -1/16*x**4 + 0*x + 5/36*x**3 + 1/720*x**6 + 0 + 1/120*x**5 - 143*x**2. Solve d(h) = 0 for h.
-5, 1
Let n be ((-1315)/(-19988))/((-5)/(-8))*19. Find s, given that 9/4*s + 1/4*s**n + 5 = 0.
-5, -4
Let -227*h - 391*h**3 + 532*h**2 - 188*h**4 + 94*h**4 - 5*h**5 + 186*h**4 + 71*h = 0. Calculate h.
0, 2/5, 2, 3, 13
Suppose 34/5*o + 14/5*o**2 - 2/5*o**3 + 18/5 = 0. What is o?
-1, 9
Let n(h) be the third derivative of -h**6/90 - h**5/6 - 11*h**4/18 + 5*h**3/3 + 7495*h**2. What is o in n(o) = 0?
-5, -3, 1/2
Let p = 238/95 + -524/285. Let -p*u**2 + 0 - 1/9*u = 0. What is u?
-1/6, 0
Let f(m) = 48*m**4 - 230*m**3 - 4030*m**2 + 2692*m - 424. Let a(z) = 46*z**4 - 229*z**3 - 4029*z**2 + 2690*z - 422. Let l(d) = -4*a(d) + 3*f(d). Solve l(s) = 0.
-8, 1/4, 2/5, 13
Find u such that 185/3 - 62*u + 1/3*u**2 = 0.
1, 185
Let s be (1/(-3))/((-4)/12). Let h(z) = 4*z**3 - 2*z**2 + 2*z + 2. Let f(j) = 173 - 173 - j**3. Let c(n) = s*h(n) + 6*f(n). Factor c(m).
-2*(m - 1)*(m + 1)**2
Let x(g) = -27*g**2 + 483*g + 486. Let w(i) = -22*i**2 + 483*i + 485. Let j(a) = -6*w(a) + 5*x(a). Solve j(s) = 0 for s.
-160, -1
Let t(q) be the first derivative of -6/7*q**3 - 37 - 1/14*q**4 - 48/7*q - 26/7*q**2. Factor t(h).
-2*(h + 2)*(h + 3)*(h + 4)/7
Let d(s) = 7*s**2 - 4*s + 1. Let l(v) = 9*v**2 - 4*v + 2. Let a(o) = -9*o + 13. Let q be a(2). Let f(w) = q*d(w) + 4*l(w). Factor f(k).
(k + 1)*(k + 3)
Suppose 195*m + 109 = 314 + 185. Factor -2/11*x**m - 48/11*x - 288/11.
-2*(x + 12)**2/11
Let -1/2*z**4 + 11/4*z**3 + 11*z + 10*z**2 - 1/4*z**5 + 4 = 0. Calculate z.
-2, -1, 4
Let o be (6 + -3)*(-5 - 68/(-12)). Let g(n) be the second derivative of 0 + 0*n**o + 7*n + 5/12*n**4 + 0*n**3. Find x such that g(x) = 0.
0
Let m = -562444 + 562446. Determine a so that 0 - 7/8*a**3 + m*a**2 - 1/2*a = 0.
0, 2/7, 2
Let s(o) be the first derivative of -2*o**3/9 + o**2/9 + 28*o/9 - 86. Factor s(m).
-2*(m + 2)*(3*m - 7)/9
Let z(r) = r**2 + 1. Suppose 11 = -6*u - 5*u. Let q(a) = -7*a**2 - 12*a - 17. Let w(p) = u*q(p) - 6*z(p). Let w(l) = 0. Calculate l.
-11, -1
Let t(r) = 6*r**2 - 96*r + 284. Let i(f) = 11*f**2 - 188*f + 569. Let p(x) = 4*i(x) - 7*t(x). Factor p(w).
2*(w - 36)*(w - 4)
Suppose -2973 = -853*u - 414. Factor -3 + 3/4*z**u + 3*z**2 - 3/4*z.
3*(z - 1)*(z + 1)*(z + 4)/4
Solve -3*f**2 + 21541*f + 20680*f - 43094*f + 876 = 0.
-292, 1
Suppose -6*u = -27*u - 189. Let p be 70/315 + (-505)/u. Factor -26/3*a - p - 1/3*a**2.
-(a + 13)**2/3
Let z(b) = -4*b**3 - 9*b**2 - 2*b. Let t(l) = -l**3 - 2*l**2 - 2*l. Let w(f) = -3*t(f) + z(f). Factor w(x).
-x*(x - 1)*(x + 4)
Let l(t) be the third derivative of t**7/210 - 2*t**6/45 + t**5/10 + 103*t**3/3 + 105*t**2. Let n(p) be the first derivative of l(p). Factor n(u).
4*u*(u - 3)*(u - 1)
Factor -2312*s + 0 - 49/2*s**3 + 476*s**2.
-s*(7*s - 68)**2/2
Factor -289*t - 433/3 - 2/3*t**2.
-(t + 433)*(2*t + 1)/3
Let k = -8708 + 8711. Let m(d) be the third derivative of 39*d**2 + 1/30*d**6 + 1/15*d**5 - 1/21*d**4 + 0 + 0*d + 0*d**k - 8/245*d**7. Solve m(j) = 0.
-2/3, 0, 1/4, 1
Let 2738/3 - 1/3*x**3 - 1517/3*x + 76/3*x**2 = 0. What is x?
2, 37
Let t(a) be the first derivative of -1/10*a**2 - 7/60*a**4 - 1/6*a**3 - 3/100*a**5 + 20 - 18*a. Let o(d) be the first derivative of t(d). Factor o(u).
-(u + 1)**2*(3*u + 1)/5
Let f(v) be the second derivative of -7/2*v**2 + 0 + 1/24*v**4 + 4*v - 5/12*v**3. Factor f(x).
(x - 7)*(x + 2)/2
Let t(n) be the third derivative of n**7/1680 + n**6/160 + n**5/480 - n**4/8 + n**3/3 - 138*n**2 + 2. Let t(f) = 0. What is f?
-4, 1
Let n(i) be the third derivative of -i**7/14 + 5*i**6/12 + 173*i**5/12 + 325*i**4/6 + 250*i**3/3 + 396*i**2 + 3*i. Determine s, given that n(s) = 0.
-5, -1, -2/3, 10
Factor -44/3*y**2 + 1/3*y**5 + 2*y**4 + 28*y + 0 - 5*y**3.
y*(y - 2)**2*(y + 3)*(y + 7)/3
Let b(h) = -36*h**3 + 3272*h**2 - 3086*h - 19350. Let q(s) = 7*s**3 - 654*s**2 + 617*s + 3870. Let u(k) = -2*b(k) - 11*q(k). Find t, given that u(t) = 0.
-2, 3, 129
Suppose 7*c - 99 = -50. Let i(m) be the second derivative of 0 + 0*m**3 - 1/10*m**5 - 1/15*m**6 - 19*m + 1/6*m**4 + 0*m**2 + 1/21*m**c. Factor i(n).
2*n**2*(n - 1)**2*(n + 1)
Factor -93171456/5*i + 116555888/5*i**2 - 30528*i**3 + 18629408/5 + 10*i**4.
2*(i - 1526)**2*(5*i - 2)**2/5
What is n in 721/3*n - 1/3*n**3 - 41/3*n**2 - 2695/3 = 0?
-55, 7
Let n(y) be the third derivative of y**6/1200 + y**5/15 + 209*y**4/240 + 17*y**3/6 + 69*y**2 + 4*y + 1. Factor n(i).
(i + 1)*(i + 5)*(i + 34)/10
Let x(d) be the third derivative of d**6/6 + 121*d**5/90 + 47*d**4/18 + d**3/3 - 1137*d**2 - 1. Let x(h) = 0. What is h?
-3, -1, -1/30
Suppose -58*z = 182 - 2328. Let k(y) be the first derivative of -z + 0*y**3 - 3/13*y**2 + 1/26*y**4 + 4/13*y. Let k(h) = 0. Calculate h.
-2, 1
Suppose 3*o + 15 = -2*o. Let w be o/9 - (-28)/12. Factor 13*y**2 - 8*y**2 - w*y**2 - 24*y + 48.
3*(y - 4)**2
Determine l, given that 58437/4*l**4 + 81/4*l**5 + 6490*l**3 + 721*l**2 + 0 + 0*l = 0.
-721, -2/9, 0
Let -8*o**5 - 6*o*