What is v?
-29
Suppose -9*b**2 + 77*b**2 + 19*b**2 + 60*b**3 - 39*b**2 - 848*b + 384 + 160*b**2 = 0. What is b?
-6, 8/15, 2
Let c(d) be the first derivative of 0*d - 237 + 3*d**5 + 0*d**2 - 6*d**4 + 4*d**3 - 1/2*d**6. Suppose c(l) = 0. Calculate l.
0, 1, 2
Let o(t) be the second derivative of 15*t + 0 + 0*t**3 - 1/12*t**5 - 5/8*t**4 - 17/2*t**2. Let v(u) be the first derivative of o(u). Factor v(s).
-5*s*(s + 3)
Factor 244*f + 2*f**3 + 287/2*f**2 - 70.
(f + 2)*(f + 70)*(4*f - 1)/2
Let y(m) be the second derivative of -17/2*m**4 + 11/2*m**3 + 0*m**2 - 10 + 9/20*m**5 - 3*m. Factor y(r).
3*r*(r - 11)*(3*r - 1)
Let h(k) be the second derivative of k**5/5 - 25*k**4/3 - 106*k**3/3 - 54*k**2 - 713*k + 3. Factor h(t).
4*(t - 27)*(t + 1)**2
Let v(w) be the first derivative of -89 - 3920/3*w - 5/9*w**3 - 140/3*w**2. Factor v(m).
-5*(m + 28)**2/3
Let t(g) be the third derivative of 233*g**2 + 7/600*g**5 + 1/3360*g**8 - 1/300*g**7 + 0 - 1/20*g**4 + 11/1200*g**6 + 0*g + 0*g**3. Find b such that t(b) = 0.
-1, 0, 1, 3, 4
Let a(f) be the second derivative of f**5/15 + 11*f**4/3 - 842*f**3/9 + 258*f**2 + f - 2953. Factor a(t).
4*(t - 9)*(t - 1)*(t + 43)/3
Let g = 4924/21 - 1576/7. Suppose -26/3*k + 2/3*k**2 - g = 0. What is k?
-1, 14
Let 0 - 3/4*q**4 - 3/2*q + 9/4*q**2 + 0*q**3 = 0. Calculate q.
-2, 0, 1
Suppose 77*u + 1695 = 72*u. Let f = -336 - u. Factor 0 - 8/3*y**2 + 2*y + 2/3*y**f.
2*y*(y - 3)*(y - 1)/3
Let l(q) be the second derivative of -58*q + 16*q**3 + 0 + 1/10*q**5 + 2*q**4 + 64*q**2. Factor l(k).
2*(k + 4)**3
Suppose -2*p = -12*p + 590. Let r = 62 - p. Solve -8/19*k**r - 2/19*k**5 - 4/19 - 4/19*k**2 + 8/19*k**4 + 10/19*k = 0.
-1, 1, 2
Find h such that -731 + 5*h**2 - 99 + 45 + 2599*h - 1819*h = 0.
-157, 1
Let a(q) be the third derivative of q**7/210 - 21*q**6/40 + 81*q**5/4 - 2187*q**4/8 - 4793*q**2. Factor a(m).
m*(m - 27)**2*(m - 9)
Let z(h) = 23*h + 49. Let l be z(-2). Let m be 3 + -1 + (-6 - (-15)/l). Solve 4/3*v + 1/3*v**2 + m = 0 for v.
-3, -1
Let v(u) = 22*u - 2 - 41*u + 18*u. Let y(f) = 7*f**2 + 27*f + 2. Let g(b) = -6*v(b) + 2*y(b). Factor g(z).
2*(z + 4)*(7*z + 2)
Let h(f) be the third derivative of -f**6/2520 + 11*f**5/840 - 3*f**4/28 + 17*f**3/3 + 42*f**2. Let w(g) be the first derivative of h(g). Factor w(t).
-(t - 9)*(t - 2)/7
Determine s so that 2/7*s**2 + 0 - 1798/7*s = 0.
0, 899
Let w be 0 - 344 - (-6 + (-110)/(-15)). Let i = w - -346. Factor -2/3*m + 0 + i*m**2.
2*m*(m - 1)/3
Let d = 837069/4 - 209267. What is v in d*v**3 - 9/4*v**2 + 11/4*v - 1 + 1/4*v**4 = 0?
-4, 1
Let b = 1377/3784 - -21/1892. Let l(c) be the third derivative of -23*c**2 - 1/16*c**4 + 0*c + 1/240*c**5 + b*c**3 + 0. Find z such that l(z) = 0.
3
Let s be (((-16)/(-4))/4)/(-4 - -3). Let i be 9/s + 686/70. Suppose i + 2*v + 2/5*v**3 + 8/5*v**2 = 0. What is v?
-2, -1
Let b be ((-23)/4)/(3/((-36)/3)). Let a = b + -21. Factor 24*i + 12 - 6*i**2 - 34*i + a*i**3 + 2*i**2.
2*(i - 3)*(i - 1)*(i + 2)
Find l such that -1/3*l**2 - 271803 - 602*l = 0.
-903
Let b(z) be the third derivative of z**7/525 - z**6/300 - 7*z**5/75 + 2*z**4/5 + 1851*z**2. Factor b(s).
2*s*(s - 3)*(s - 2)*(s + 4)/5
Let t(i) be the second derivative of i**9/52920 + i**8/3360 + i**7/882 + 9*i**4/2 + i**3/3 - 205*i. Let a(j) be the third derivative of t(j). Factor a(v).
2*v**2*(v + 2)*(v + 5)/7
Let l be 1184/444 + 4/3. Let j(d) be the third derivative of -1/9*d**l - 1/180*d**6 + 0 - 1/18*d**5 + 0*d**3 + 0*d - 2*d**2. Let j(m) = 0. Calculate m.
-4, -1, 0
Let z(m) be the third derivative of -1/2*m**3 + 0*m + 11*m**2 - 1/8*m**4 - 5 - 1/80*m**5. Factor z(c).
-3*(c + 2)**2/4
Let p(t) be the third derivative of 0*t + 2*t**2 + 13/28*t**4 - 1/70*t**5 - 9 - 12/7*t**3. Factor p(w).
-6*(w - 12)*(w - 1)/7
Let j be (125/(-35) - 12/28)/(-1). What is g in -7*g**3 + 648 + 756*g + 2*g**3 + 46*g**2 + j*g**4 + 278*g**2 + 65*g**3 = 0?
-6, -3
Let z(r) be the second derivative of -r**4/30 - 1856*r**3/5 - 7750656*r**2/5 - 7897*r. Factor z(l).
-2*(l + 2784)**2/5
Let i(q) be the first derivative of -q**4/2 - 6044*q**3/27 - 84448*q**2/3 + 12544*q + 1173. Determine y, given that i(y) = 0.
-168, 2/9
Let b(g) = 13*g + 133. Let n be b(-10). Let v be (-80)/(-45) - 2/(-9). Let -4802*p - 2/5*p**5 + 33614/5 + 14*p**4 - 196*p**n + 1372*p**v = 0. What is p?
7
Suppose 0 = 20*m - 3601 - 8499. Let r = m + -603. What is h in -8/7 - 4/7*h - 32/7*h**4 + 20/7*h**5 - 16/7*h**3 + 40/7*h**r = 0?
-1, -2/5, 1
Let c(z) be the third derivative of z**8/15680 - z**7/1470 - z**6/1680 + z**5/70 - 7*z**4/2 - 168*z**2. Let k(u) be the second derivative of c(u). Factor k(p).
3*(p - 4)*(p - 1)*(p + 1)/7
Let a(q) be the second derivative of 31*q + 1/16*q**4 - 9/2*q**3 + 243/2*q**2 + 0. Determine j, given that a(j) = 0.
18
Let s(f) be the second derivative of 238*f + 5/3*f**2 + 0 - 1/36*f**4 - 1/6*f**3. Factor s(v).
-(v - 2)*(v + 5)/3
Let d(v) be the second derivative of v**4/3 - 3668*v**3/3 + 1681778*v**2 + 4721*v. Factor d(p).
4*(p - 917)**2
Let f be 275/(-1050) + 9 + 98/(-12). Let 17424/7 - 528/7*z + f*z**2 = 0. What is z?
66
Let s(v) be the first derivative of -60 + 7/3*v + 1/9*v**3 + 4/3*v**2. Factor s(n).
(n + 1)*(n + 7)/3
Let m(c) be the second derivative of 3/5*c**5 + 0*c**2 - 12 - 5/4*c**4 + c**3 - 1/10*c**6 - 3*c. What is z in m(z) = 0?
0, 1, 2
Let o(j) be the third derivative of 0 + 1/2*j**3 + 96*j**2 - 3/100*j**5 + 0*j + 1/20*j**4. Determine q so that o(q) = 0.
-1, 5/3
Let w(b) be the first derivative of -2*b**4 + 2*b**4 + 11*b**4 - 5*b**3 - b**5 + 33 - 6*b**4 - 127. Factor w(p).
-5*p**2*(p - 3)*(p - 1)
Suppose 2*j + 175 = -5*f + 69, -j = 4*f + 83. Let h = 23 + f. Let 40*m**2 - 12*m - 14*m**h + 0*m**2 + 6*m**2 = 0. What is m?
0, 2/7, 3
Let s(h) = -2*h**3 + 4*h + 1. Let u(l) = -5*l**4 - 40*l**3 + 65*l**2 + 150*l + 25. Let j(x) = -25*s(x) + u(x). Factor j(b).
-5*b*(b - 5)*(b + 1)*(b + 2)
Let j(g) be the first derivative of 2*g**3/45 + 91*g**2/15 - 184*g/15 + 493. Suppose j(h) = 0. Calculate h.
-92, 1
Let u(n) be the first derivative of n**8/5040 - n**7/360 + 2*n**6/135 - n**5/30 - 19*n**3 - 63. Let h(m) be the third derivative of u(m). Factor h(g).
g*(g - 3)*(g - 2)**2/3
Let l = -271 - -294. Suppose -l*d**2 + 31*d**2 + 30*d + 27*d**2 + 5*d**3 = 0. Calculate d.
-6, -1, 0
Let g(z) be the second derivative of 5*z**4/12 - 74*z**3/15 - 6*z**2/5 + 1386*z. Factor g(k).
(k - 6)*(25*k + 2)/5
Let q(b) be the third derivative of -b**8/4200 + b**7/700 - b**6/450 + 11*b**3/2 - 6*b**2 + 1. Let h(j) be the first derivative of q(j). Factor h(f).
-2*f**2*(f - 2)*(f - 1)/5
Let a(x) be the first derivative of -x**8/560 + x**7/40 - x**6/20 - 4*x**3/3 + x**2/2 - 70. Let o(d) be the third derivative of a(d). Factor o(b).
-3*b**2*(b - 6)*(b - 1)
Let p(m) be the third derivative of m**6/100 + 13*m**5/5 - 533*m**4/20 + 402*m**3/5 - 906*m**2 - 3. Factor p(w).
6*(w - 3)*(w - 1)*(w + 134)/5
Let o(v) be the third derivative of 21*v**6/40 - 494*v**5/5 + 46577*v**4/8 - 2209*v**3 + 90*v**2 + v - 3. Factor o(d).
3*(d - 47)**2*(21*d - 2)
Let b = -525200 - -1575610/3. Determine r so that -5/3*r - b*r**3 - 1/3*r**5 + 1/3 + 10/3*r**2 + 5/3*r**4 = 0.
1
Let x(u) = -52*u**2 - 1355*u - 76. Let m be x(-26). Determine l so that 9/2*l**3 - 69/2*l**m + 60*l + 24 = 0.
-1/3, 4
Let a(h) be the second derivative of 79/35*h**5 + 34/105*h**6 + 50*h + 47/21*h**4 - 128/7*h**2 - 160/21*h**3 + 2/147*h**7 + 0. What is d in a(d) = 0?
-8, -1, 1
Let w be (5/(-105))/(16/(-48)). Let a(g) be the first derivative of -75/7*g - 1 - w*g**3 - 15/7*g**2. What is d in a(d) = 0?
-5
Suppose -3*a - m - 3 = 0, 11 - 5 = -4*a - 2*m. Let l(j) be the first derivative of 3/20*j**4 + 0*j**5 - 1/30*j**6 - 2/15*j**3 - 26 + 0*j + a*j**2. Factor l(t).
-t**2*(t - 1)**2*(t + 2)/5
Let -18*i**4 + 105*i - 52*i**2 - i**5 - 33783342*i**3 - 126*i**2 + 196 + 33783238*i**3 = 0. What is i?
-7, -4, -1, 1
Let -96 + 8712*v**3 - 164*v + 2006*v - 130*v + 1604*v**2 - 10250*v**2 = 0. Calculate v.
4/33, 3/4
Let g(y) be the third derivative of -y**8/168 + 94*y**7/105 - 23*y**6/15 - 47*y**5/15 + 31*y**4/4 - 4*y**2 - 21*y. What is q in g(q) = 0?
-1, 0, 1, 93
Determine f so that 19/3*f**3 + 13/3*f**4 - 40/3*f + 44/3 - 37/3*f**2 + 1/3*f**5 = 0.
-11, -2, 1
Let x(j) be the second derivative of j**6/10 - 5052*j**5/5 + 4253784*j**4 - 9551163008*j**3 + 120631