ve of 2*k**6/15 + 422*k**5 + 494208*k**4 + 691879936*k**3/3 - 1395654656*k**2 - 2*k + 246. What is u in i(u) = 0?
-704, 2
Let p(m) be the second derivative of m**6/25 + 147*m**5/100 - 67*m**4/10 + 29*m**3/10 + 81*m**2/5 - 271*m. Find i, given that p(i) = 0.
-27, -1/2, 1, 2
Let c be (97 + -98)*(0 + (-7)/(-2)) + 156/40. What is b in -c*b**5 - 4/5*b**4 + 12/5*b**2 + 0 + 2*b**3 + 0*b = 0?
-3, -1, 0, 2
Suppose 2*f = 5*d + 24, 4*d + 77 = -3928*f + 3933*f. Factor 85/8*q**d - 1 - 7/4*q - 63/8*q**3.
-(q - 1)*(7*q - 4)*(9*q + 2)/8
Let q = 79739 + -398614/5. Let j = 2489/155 + 22/155. Let -j + 3/5*o**3 - 27/5*o**2 + q*o = 0. Calculate o.
3
Factor -10*x + 76/7*x**2 - 148/7 - 2/7*x**3.
-2*(x - 37)*(x - 2)*(x + 1)/7
Factor 10/7*c**2 - 116/7*c + 66/7.
2*(c - 11)*(5*c - 3)/7
Suppose 5*g = -343 + 488. Factor g*p**2 - 142*p**2 - 20*p**2 - 71*p**2 - 4*p**3 - 19652 - 3468*p.
-4*(p + 17)**3
Let l(w) be the third derivative of -1/2*w**3 + 0 + 0*w - 13/24*w**4 - 23*w**2 - 19/120*w**6 + 7/12*w**5. Suppose l(c) = 0. What is c?
-3/19, 1
Let w be (-80)/(-176)*(-12)/45*(-143)/130. What is h in -6*h**2 - w*h**4 - 36/5 + 54/5*h + 22/15*h**3 = 0?
2, 3
Let k(p) = -17*p**3 - 30*p**2 + 513*p + 532. Let l(a) = 15*a**3 + 30*a**2 - 510*a - 530. Let x(h) = -5*k(h) - 6*l(h). Factor x(c).
-5*(c - 8)*(c + 1)*(c + 13)
Suppose -5*j - 5*g = -65, 5*j - g - 53 = -0*j. Find a, given that -j*a**2 + 193*a**3 - a**2 - 197*a**3 + 16*a = 0.
-4, 0, 1
Let g be (-165)/(-33) + (-5 - -2). Factor 7*w**2 + 4*w**2 - g + 5*w - 10*w**2 + 8 - 12*w.
(w - 6)*(w - 1)
Let v(p) be the third derivative of -19*p**7/1680 - 11*p**6/144 + p**5/40 + 49*p**3/3 - 8*p**2. Let k(f) be the first derivative of v(f). Factor k(h).
-h*(h + 3)*(19*h - 2)/2
Let t(j) be the second derivative of 1 - 9/50*j**5 - 29/30*j**4 - 13/5*j**3 - 1/75*j**6 - 98*j - 18/5*j**2. Solve t(b) = 0.
-3, -2, -1
Let p(n) be the second derivative of n**4/54 + 31*n**3/27 + 28*n**2/3 + 564*n. Factor p(t).
2*(t + 3)*(t + 28)/9
Factor -726/5*o**3 - 3456/5*o - 8928/5*o**2 + 0 - 3*o**4.
-3*o*(o + 24)**2*(5*o + 2)/5
Suppose -x + 2*z = -15 - 3, 0 = -x - 5*z - 17. Factor 10 - 2 + 8*q - 3 - 4*q**4 - 1 - x*q**3.
-4*(q - 1)*(q + 1)**3
Let y = -334763/18 - -18598. Let j(s) be the first derivative of 2/9*s**2 + 42 + y*s**4 + 0*s + 2/9*s**3. What is c in j(c) = 0?
-2, -1, 0
Factor -1/6*v**3 - 113/6*v - 37/3 - 20/3*v**2.
-(v + 1)*(v + 2)*(v + 37)/6
Let x(p) be the third derivative of 0*p**4 + 2/105*p**7 + 1/15*p**5 - 27*p**2 + 0*p + 0 + 0*p**3 - 1/15*p**6. Let x(n) = 0. Calculate n.
0, 1
Let r(w) = -7*w**2 + 6212*w + 3226107. Let x(m) = -9*m**2 + 8283*m + 4301476. Let j(s) = -13*r(s) + 10*x(s). Factor j(p).
(p + 1037)**2
Let d(z) be the third derivative of z**7/525 - 99*z**6/100 + 59*z**5/15 + 13383*z**2. Factor d(x).
2*x**2*(x - 295)*(x - 2)/5
Let o(y) = y**2 - 13456*y. Let z be o(0). Factor 4/3*u + z - 2/9*u**3 + 2/9*u**2.
-2*u*(u - 3)*(u + 2)/9
Let k(f) be the second derivative of f**8/1680 + f**7/420 - f**6/120 + 11*f**3/2 - 72*f. Let y(w) be the second derivative of k(w). Solve y(o) = 0.
-3, 0, 1
Let h = -823 + 827. Let -60*d - 346340*d**4 + 80*d**2 + 65*d**3 + 346340*d**h - 5*d**5 - 80 = 0. Calculate d.
-2, -1, 1, 4
Let q(g) = -g**2 - 7*g. Let b be q(-6). Let a be 3/(-2)*(3*-4)/b. Solve 66*w**3 + 57*w**2 + 9*w**5 + 24*w + 4 - w**3 + 2*w**a + 39*w**4 = 0 for w.
-1, -2/3
Let q(h) = 32*h + 98. Let n be q(8). Let d = 2125/6 - n. Find m such that 1/6*m**2 + 0 + d*m = 0.
-1, 0
Let q(d) be the second derivative of d**4/12 - 167*d**3 + 251001*d**2/2 - 2*d - 350. Factor q(w).
(w - 501)**2
Let i(v) be the third derivative of -1/315*v**7 - 1/36*v**6 + 1/9*v**4 + 1/504*v**8 + 0 + 13*v**2 + 1/18*v**5 - 4/9*v**3 + 0*v. Solve i(m) = 0.
-2, -1, 1, 2
Let t(y) be the third derivative of -y**5/150 + 7*y**4/15 + 3178*y**2. Suppose t(d) = 0. What is d?
0, 28
Let k(u) be the first derivative of -u**6/2700 - u**5/100 - u**4/10 + 140*u**3/3 - 51. Let h(w) be the third derivative of k(w). Solve h(c) = 0 for c.
-6, -3
Let p(x) = -2*x**2 - 11*x + 38. Let l be p(-14). Let v = 1008/5 + l. Factor -2/5*r + 2*r**3 + 0 + v*r**2.
2*r*(r + 1)*(5*r - 1)/5
Let b(s) be the third derivative of -23/108*s**4 + 1/270*s**5 + 113*s**2 + 0*s**3 + 0 + 0*s. Let b(z) = 0. Calculate z.
0, 23
Let j(s) be the third derivative of -s**8/84 + s**7/14 - 5*s**5/12 - s**4/4 - 1495*s**2. What is i in j(i) = 0?
-1, -1/4, 0, 2, 3
Suppose 0 = 2605*z - 3793 - 5754 - 873. Suppose -39/2*h**z - 6*h**5 - 3*h**2 - 33/2*h**3 + 0*h + 0 = 0. Calculate h.
-2, -1, -1/4, 0
Let 0 + 0*t - 2/9*t**3 - 304/9*t**2 = 0. Calculate t.
-152, 0
Let a(g) be the second derivative of -g**5/60 + 79*g**3/18 - 35*g**2 + 2549*g. Find r, given that a(r) = 0.
-10, 3, 7
Let w = -235 + 126. Let z = w + 117. Solve 7*v**3 - 2*v**3 + 3595*v**2 - 7*v**4 - z*v**4 - 3585*v**2 = 0.
-2/3, 0, 1
Let n(t) be the first derivative of -t**5/4 + 305*t**4/16 - 850*t**3/3 - 10115*t**2/2 - 3503. Factor n(g).
-5*g*(g - 34)**2*(g + 7)/4
Let x(d) = 13*d**2 - 211*d - 6. Let k(m) = -200*m**2 + 3166*m + 92. Let n(z) = 6*k(z) + 92*x(z). Factor n(g).
-4*g*(g + 104)
Suppose -53 - 152 - 118*t**2 - 107 + 544*t + 6*t**3 = 0. What is t?
2/3, 6, 13
Let h(o) = 13*o - 3. Let s = 88 - 87. Let q be h(s). Determine t so that -24*t**4 - 24*t**2 + 44*t**4 - 21*t**4 + 22*t - 7 + q*t**3 = 0.
1, 7
Determine x, given that 744 + 6420*x - 10*x**2 - 2034*x - 2530*x = 0.
-2/5, 186
Let s(o) be the first derivative of 2/3*o**3 - 33/2*o**2 + 0*o - 12 + 5/6*o**4 + 3/20*o**5. Let d(a) be the second derivative of s(a). Solve d(y) = 0.
-2, -2/9
Suppose 3*m - 12 = -0. Suppose m*p = -2*t + 24, t - 4*t + 12 = 0. Solve -4*u**4 - 3*u**5 + 7*u**5 - 21*u**3 + 16 + p*u**2 + u**3 + 32*u = 0 for u.
-1, 2
Let v(s) be the second derivative of s**4/60 - 339*s**3/5 + 1034289*s**2/10 - 13162*s. Suppose v(f) = 0. Calculate f.
1017
What is z in 1/8*z**4 - 173/8*z - 35/4 - 135/8*z**2 - 31/8*z**3 = 0?
-2, -1, 35
Let u(a) = -6*a - 5 + 32*a - 42*a**2 - 3*a + 4*a**3. Let w(t) = 4*t**3 - 40*t**2 + 24*t - 4. Let k(q) = 4*u(q) - 5*w(q). Factor k(m).
-4*m*(m - 7)*(m - 1)
Suppose 3*k + 2*j = 298, 374 = 4*k + 8*j - 10*j. Let h be (2/(-24))/((-636)/k + 6). Factor -2/15*v**3 - h*v**2 + 2/3*v - 2/5.
-2*(v - 1)**2*(v + 3)/15
Factor -522*u + 40*u**4 - 66*u**3 - 591*u**2 + 59*u**4 - 96*u**4.
3*u*(u - 29)*(u + 1)*(u + 6)
Suppose -2*m = n - 7*m - 21, -4*m = -12. Let q = -33 + n. Find x, given that 10*x + 25*x**2 - 4*x**4 - x**4 + 44*x**q - 5*x**5 - 29*x**3 = 0.
-1, 0, 2
Let j(a) be the third derivative of 1/144*a**4 + 1/420*a**7 + 7/720*a**6 + 0*a**3 + 0*a - a**2 - 90 + 1/72*a**5. Find k, given that j(k) = 0.
-1, -1/3, 0
Let m(g) be the second derivative of 0*g**3 + 2/7*g**7 + 0*g**2 + 0*g**4 - 52/15*g**6 - 89 - 9/5*g**5 + 2*g. Suppose m(x) = 0. What is x?
-1/3, 0, 9
Factor -4890 + 1936*p + 69 + 2197 - 4*p**3 - 304*p**2.
-4*(p - 4)*(p - 2)*(p + 82)
Let r be (24/15*47)/((-3)/15). Let p = r - -755/2. Factor 0 - 3/4*z**5 + 0*z**3 - p*z**4 + 3/4*z + 3/2*z**2.
-3*z*(z - 1)*(z + 1)**3/4
Let v be (168/(-68))/((-23850)/36040). Determine l so that v*l**2 + 442/15*l + 2/15*l**3 + 676/15 = 0.
-13, -2
Let r(c) be the third derivative of -1/220*c**6 + 2/1155*c**7 - 2/55*c**5 - 11*c**2 + 0 + 2/11*c**3 + 0*c + 7/132*c**4. What is d in r(d) = 0?
-2, -1/2, 1, 3
Factor -10*s**2 + 2/9*s**3 + 1458 + 54*s.
2*(s - 27)**2*(s + 9)/9
Let g(b) be the first derivative of 0*b - 174 - 1/17*b**4 + 4/17*b**2 - 14/51*b**3. Suppose g(c) = 0. Calculate c.
-4, 0, 1/2
Let t be ((-1332)/185)/((-26)/(-50)). Let i = t + 1043/65. Determine h so that 6/5 + 13/5*h - 13/5*h**3 - i*h**2 + h**4 = 0.
-1, -2/5, 1, 3
Let d(j) = j**2 + 291*j + 14. Let k(p) = p - 2. Let f(v) = 3*d(v) + 21*k(v). Determine m so that f(m) = 0.
-298, 0
Suppose 5*s - 4*n + 9 = 0, 5*s - 33*n = -36*n + 33. Let k(w) = -w + 29. Let m be k(25). Factor 1/8*q - 1/4*q**s + 0 + 0*q**2 + 1/8*q**5 + 0*q**m.
q*(q - 1)**2*(q + 1)**2/8
Let y(o) be the second derivative of 9*o + 11/12*o**2 + 5/18*o**3 - 1/72*o**4 + 6. Factor y(h).
-(h - 11)*(h + 1)/6
Let r(g) = 29*g**2 + g + 30. Let n be r(6). Let x be n/5544 + 1/11. Factor -26/7*p**2 + x*p + 0.
-2*p*(13*p - 1)/7
Factor -c**4 + 9*c**3 + 2*c**3 + 4*c**3 + 15*c**3 - 160*c + 6*c**4.
5*c*(c - 2)*(c + 4)**2
Let d = 256 + -255. Let o be d/(-1) - (-1196)/104. Factor 27/4*v + 12*