-159*m**2 + 32*m + 31. Let h be q(-1). Let r = 160 + h. Factor -1/3*y**3 + 0*y**2 + 0 + r*y.
-y**3/3
Let k(p) be the second derivative of p**5/70 - 19*p**4/42 - p**3/21 + 19*p**2/7 + 389*p. Factor k(o).
2*(o - 19)*(o - 1)*(o + 1)/7
Factor -4605*q - 1212*q**2 + 393 + 193068*q**4 - 3276 - 66*q**3 - 193069*q**4 + 575*q.
-(q + 1)*(q + 3)*(q + 31)**2
Let y(x) be the first derivative of -8/9*x**2 - 8/3*x + 1/18*x**4 - 2 + 2/27*x**3. Factor y(o).
2*(o - 3)*(o + 2)**2/9
Let q(y) be the second derivative of 17*y + 0*y**3 - 1/210*y**5 + 0*y**4 - 19/2*y**2 + 0. Let l(n) be the first derivative of q(n). Factor l(a).
-2*a**2/7
Let y(c) be the first derivative of -4*c**3/15 - 628*c**2/5 + 2528*c/5 - 2115. Factor y(v).
-4*(v - 2)*(v + 316)/5
Solve -1832/13*s**3 - 415848/13*s**2 - 1692800/13 - 2/13*s**4 + 1685440/13*s = 0.
-460, 2
Find k such that -4*k**2 + 7*k**3 - 64 + 14*k**2 + 31*k**5 - 4*k**4 + 64 - 32*k**5 = 0.
-5, -1, 0, 2
Let i(c) = 7*c**3 - 122*c**2 - 146*c + 2413. Let x(k) = -2*k**3 + 40*k**2 + 48*k - 804. Let z(y) = -4*i(y) - 13*x(y). Factor z(b).
-2*(b - 4)*(b + 10)**2
Factor -1/2*d**2 + 7 + 13/2*d.
-(d - 14)*(d + 1)/2
Let u(g) be the second derivative of -7*g**5/20 - 79*g**4/12 - 116*g**3/3 - 102*g**2 - 2873*g. Factor u(z).
-(z + 2)**2*(7*z + 51)
Let w(n) be the third derivative of -n**7/70 - n**6/4 + 39*n**5/20 - n**4/2 - 26*n**3 - 912*n**2. Find c, given that w(c) = 0.
-13, -1, 2
Let p be (2 + 0)*(-4)/(-26). Let z(g) = g**2 - 37*g + 188. Let b be z(6). Determine w, given that 0*w**3 - 4/13*w**b + 0 - 2/13*w**5 + p*w**4 + 2/13*w = 0.
-1, 0, 1
Let w be 28/(-288) + 56/336. Let x(c) be the second derivative of -10*c + 0*c**2 + 0 - 1/36*c**6 - w*c**4 - 1/12*c**5 + 0*c**3. Factor x(b).
-5*b**2*(b + 1)**2/6
Find x such that -432/5*x + 44/5*x**4 + 4/5*x**5 - 444/5*x**2 + 28/5*x**3 + 0 = 0.
-9, -4, -1, 0, 3
Let x(q) be the third derivative of q**5/330 + 37*q**4/132 + 70*q**3/33 - 1004*q**2. Factor x(r).
2*(r + 2)*(r + 35)/11
Suppose 0 = 676*h - 658*h. Let j be 4/(-22) - 185/330*-3. Factor -3*b**3 + j*b**4 + h + 3/2*b**2 + 0*b.
3*b**2*(b - 1)**2/2
Let g be (-23646)/(-21)*-6*(-1)/4. Let w = -1687 + g. Let -2*l**3 - 10*l + 23/3*l**w + 25/6 + 1/6*l**4 = 0. Calculate l.
1, 5
Suppose 4*t - 19 = -3*f, 4*f + 2*t - 29 = f. Suppose -3*m - 3*i + 18 = 0, -3*i = -3*m - i + f. Factor 21 + 28 - r**3 - 68*r + m*r**2 + 5*r + 10*r**2.
-(r - 7)**2*(r - 1)
Suppose 6 = 4*o - 2. Factor -21*d**o + 6 + 13*d**2 + 11*d**2 + 9*d.
3*(d + 1)*(d + 2)
Let p be (-15)/(2475/242) + 6/4. Let k(w) be the first derivative of 1/6*w + 23 + 1/3*w**3 + 1/6*w**4 + 1/3*w**2 + p*w**5. Let k(j) = 0. Calculate j.
-1
Let r = -329 - -333. Suppose -3*h**5 + 25*h**2 + 37*h**2 + 112*h**4 + 285*h - 66*h**3 + 34*h**2 + 150 - 142*h**r = 0. What is h?
-5, -1, 2
Let h(o) = 11*o**2 + 205*o + 4793. Suppose 26*p + 64 = 10*p. Let t(q) = -5*q**2 - 102*q - 2397. Let y(k) = p*h(k) - 9*t(k). Factor y(n).
(n + 49)**2
Suppose -4*x - 2*j = -46, 14 = -4*x - 154*j + 156*j. What is u in 1/3*u**x + 1/2*u**5 - 1/3 + 7/6*u - 5/3*u**3 + 0*u**2 = 0?
-2, -1, 1/3, 1
Let z be 94/70 - 738/(-410). Find k, given that 25/7*k**4 + 26/7*k - 5/7 - 20/7*k**2 - 4/7*k**5 - z*k**3 = 0.
-1, 1/4, 1, 5
Suppose 2*x = 3*k - 21, -36 = -2*k + x - 24. Let l(h) be the second derivative of 6*h**2 + 8*h - 1/10*h**6 - 3/20*h**5 + 9/4*h**4 + 0 - 11/2*h**k. Factor l(p).
-3*(p - 1)**3*(p + 4)
Let r(l) be the first derivative of -l**9/1008 - l**8/560 + l**3 + 3*l**2 + 74. Let b(g) be the third derivative of r(g). Suppose b(w) = 0. What is w?
-1, 0
Let t be (4/10)/(3*(-1)/(-15)). Solve 11*w**2 - 98*w**t - 52*w**3 - 585*w + 111*w**3 - 62*w**3 + 675 = 0 for w.
-15, 1
Let d be 2 - (-7 + 1921/221). Factor -2/13*h**4 + 2/13 + d*h**3 + 0*h**2 - 4/13*h.
-2*(h - 1)**3*(h + 1)/13
Let q(g) be the third derivative of g**7/2940 + g**6/1260 - g**5/70 + 25*g**3/6 + 87*g**2. Let h(c) be the first derivative of q(c). Let h(y) = 0. What is y?
-3, 0, 2
Let r = -4157/141 + 2787/94. What is h in -67/6*h**2 + 544/3*h + r*h**3 + 578/3 = 0?
-1, 34
Let f be 4 - (2 - (-4 - -2)). Let c be (-25)/70*(32/(-20) + f). Let 2/7 + c*j**2 - 6/7*j**4 - 8/7*j + 8/7*j**3 = 0. What is j?
-1, 1/3, 1
Suppose 8*t + 40 = 4*t, -3*i - t + 5 - 9 = 0. Find r, given that 0 - 8/3*r**4 + 8/3*r**i - 8/3*r + 2/3*r**5 + 2*r**3 = 0.
-1, 0, 1, 2
Suppose -6*l - l = 399. Let n = 57 + l. Find x, given that n + 1/3*x - 1/3*x**2 = 0.
0, 1
Let t(d) = d**2 + 14*d - 6. Let w be t(-15). Determine u, given that 669*u + 9 - w*u**2 + 10*u**3 - 40*u**3 - 639*u = 0.
-1, -3/10, 1
Let t(r) be the second derivative of r**5/140 - 122*r**4/21 - 979*r**3/42 - 35*r**2 - 238*r - 2. Determine v, given that t(v) = 0.
-1, 490
Let p(b) be the first derivative of -b**3/3 + 13*b**2 + 27*b - 943. Let p(c) = 0. Calculate c.
-1, 27
Suppose -10*x = -8*x - 4. Determine n so that 290*n**3 - 32 + 16*n - 10*n - 50*n**4 + 53*n + 141*n - 408*n**x = 0.
2/5, 1, 4
Let x(j) = 2*j**2 - 20. Let c(p) = 9*p**2 - 42*p - 505. Let y(i) = c(i) - 5*x(i). Solve y(h) = 0 for h.
-27, -15
Let j(l) be the first derivative of -3*l**4/4 - 120*l**3 - 711*l**2/2 - 354*l + 1159. Let j(q) = 0. What is q?
-118, -1
Let w(t) be the third derivative of 9*t**7/70 - 21*t**6/20 - 17*t**5/5 - 3*t**4 - 4*t**2 - 174. Suppose w(s) = 0. Calculate s.
-2/3, 0, 6
Let t(o) = -5*o**3 + 1225*o**2 + 1310*o - 10. Let c(p) = 3*p**2 - 5*p + 1. Let n(v) = 10*c(v) + t(v). Factor n(g).
-5*g*(g - 252)*(g + 1)
Let v be -7 - (10/(-4))/(((-145)/(-50))/29). Let x(k) be the first derivative of -6*k**2 + 36*k - v - 20/3*k**3 - k**4. Find h such that x(h) = 0.
-3, 1
Let f = 46348/15 + -15448/5. Solve 0 + 2/15*d**3 + f*d - 2/5*d**2 = 0.
0, 1, 2
Let q be (1 - -4) + -1 + 27/(-8). Let n(x) be the third derivative of q*x**4 + 0*x + 0*x**3 + 7*x**2 + 0 + 1/6*x**5 + 1/72*x**6. Suppose n(y) = 0. What is y?
-3, 0
Let x(u) be the second derivative of 4*u**5/5 + 77*u**4/3 + 328*u**3 + 2088*u**2 + 1105*u. What is h in x(h) = 0?
-29/4, -6
Let k(t) be the second derivative of 1/4*t**5 + 0 - 145*t + 125/2*t**2 - 15/4*t**4 + 25/2*t**3. Factor k(n).
5*(n - 5)**2*(n + 1)
Let r(i) = -i**3 + 56*i**2 - 462*i + 92. Let p be r(46). Let j(w) be the second derivative of 4*w + 0 - 2/9*w**3 + 1/30*w**5 - 1/18*w**4 + p*w**2. Factor j(v).
2*v*(v - 2)*(v + 1)/3
Let q(l) be the first derivative of -l**6/30 - 21*l**5/25 + 3*l**4/20 + 61*l**3/15 - 21*l**2/5 - 2244. Determine r so that q(r) = 0.
-21, -2, 0, 1
Suppose -1000/9 + 50*g - 448/9*g**3 - 2/9*g**5 + 940/9*g**2 + 20/3*g**4 = 0. What is g?
-1, 1, 5, 20
Suppose 76*m - 166 = -14. Let r(u) be the third derivative of -1/180*u**6 - 8/45*u**3 + 1/1575*u**7 + 0*u + 1/75*u**5 + 0 + 22*u**m + 1/45*u**4. Solve r(z) = 0.
-1, 2
Let f be 312/416 - (-2594)/(-3416). Let k = 866/1281 + f. Determine r, given that -4*r**2 + k*r**3 + 4 - 2/3*r = 0.
-1, 1, 6
Let h(j) = -j**3 - 5*j**2 - 5*j - 2. Let x = -35 + 31. Let m be h(x). Determine g, given that 631*g**m + 3*g**3 - 3*g**4 - 631*g**2 = 0.
0, 1
Let s(y) = y**4 - 63*y**3 + 1018*y**2 - 2646*y - 46310. Let t(q) = -2*q**4 + 125*q**3 - 2034*q**2 + 5292*q + 92619. Let v(z) = 9*s(z) + 5*t(z). Factor v(h).
-(h - 21)**3*(h + 5)
Suppose -2*i + 2 = 28. Let y = i - -21. Factor -2 + 9*a**2 + 3*a**2 + a - a**2 + y*a.
(a + 1)*(11*a - 2)
Let v(o) be the first derivative of -13 - 2/3*o**3 - 6*o**2 + 0*o. Solve v(l) = 0.
-6, 0
Suppose 0 = -4*h + 4*m + 11404, 4*m = h + 684 - 3544. Suppose 0 = -6*s + h - 658. Find t, given that -24 + s*t - 361*t + t**2 + 3*t**2 = 0.
-3, 2
Solve 222/13*x**3 + 8/13 + 238/13*x + 452/13*x**2 = 0 for x.
-1, -4/111
Let d = 358 + -356. Let v be (-7 - -4) + 5 + 1. Factor -51*s + 6 - 42*s**v + 18 - 177*s**d + 21*s.
-3*(s + 4)*(2*s + 1)*(7*s - 2)
Let f(r) be the third derivative of r**7/140 + 21*r**6/80 - r**5/40 - 21*r**4/16 + 4217*r**2. Factor f(m).
3*m*(m - 1)*(m + 1)*(m + 21)/2
Factor -96 + 74/7*v - 2/7*v**2.
-2*(v - 21)*(v - 16)/7
Let u(s) be the second derivative of -3/4*s**4 + 26*s + 0 + 9/10*s**5 - 4/25*s**6 + 9/10*s**2 - s**3. Solve u(i) = 0.
-1/2, 1/4, 1, 3
Let -5*u**2 + 25*u**3 + 3726042*u - 20*u**4 - 3726042*u = 0. Calculate u.
0, 1/4, 1
Let k(z) be the second derivative of -z**6/180 - 7*z**5/30 - 2*z**4 + 11*z**3/3 + z**2/2 - 153*z. Let a(x) be the second derivative of k(x). Factor a(j).
-2*(j + 2)*(j + 12)
Let v = 62 - 60. So