ose -2*d + 2*p = 452 - 436, p + 3*p = 40. Determine b, given that 0 + 216/11*b**d + 972/11*b**3 + 16/11*b + 1458/11*b**4 = 0.
-2/9, 0
Let i(m) be the third derivative of -m**6/240 - 8*m**5/5 + 65*m**4/4 - 196*m**3/3 - 4*m**2 - 2*m + 31. Factor i(n).
-(n - 2)**2*(n + 196)/2
Let l(h) = 3*h**2 + 16*h. Let g(c) = -6*c**2 - 34*c. Let s(b) = 6*g(b) + 13*l(b). Factor s(y).
y*(3*y + 4)
Let h = -328 + 739. Factor 864*w - h*w**2 - 268 + 51*w**2 + 34*w**3 + 3724 - w**4.
-(w - 12)**3*(w + 2)
Let v = -1/7028 - -2011/21084. Let u be (-4 - -3) + (-23)/(-21). Solve u*o**2 + 0*o - 2/21*o**4 + 0 + 2/21*o**5 - v*o**3 = 0.
-1, 0, 1
Let p = -54 - -59. Suppose -3*s + 7 = -g, 3*g + p*s + 8 = 29. Determine n so that -1/2*n**3 + 1/2*n**g + n + 0 = 0.
-1, 0, 2
Let h(y) be the third derivative of -y**6/120 - 7*y**5/30 - 13*y**4/8 + 9*y**3 + 2365*y**2. Determine m, given that h(m) = 0.
-9, -6, 1
Let o be (5 + 0 + -4)/(8*4/64). Let d(y) be the first derivative of 4/7*y**3 - 1/14*y**4 - 9/7*y**o + 23 + 8/7*y. Find p, given that d(p) = 0.
1, 4
Let i = -523 - -526. Let h(a) = a**3 - 3*a**2 - a + 6. Let r be h(i). Factor -3/2 + 1/4*n**r - 3/2*n**2 + 11/4*n.
(n - 3)*(n - 2)*(n - 1)/4
Suppose -306*k + 155*k + 157*k - 18 = 0. Determine m, given that -2*m**2 + 5/3*m**k + 0 + 1/3*m = 0.
0, 1/5, 1
Let m be 95/76 + 226/(-8). Let f be -2*(-3)/m - 29/(-9). Factor 26 - f*t**2 - 3*t**2 + 3*t**2 - 23.
-3*(t - 1)*(t + 1)
Let w(f) = -14*f**5 + 4*f**4 + 85*f**3 - 5*f. Let g(p) = 152*p**5 - 44*p**4 - 934*p**3 + 54*p. Let r(v) = 5*g(v) + 54*w(v). Find s such that r(s) = 0.
-4, 0, 5
Let c(q) be the first derivative of -q**3 - 123*q**2 - 480*q - 3148. Factor c(t).
-3*(t + 2)*(t + 80)
Let q = 4887 - 410503/84. Let i(b) be the second derivative of -1/8*b**6 + 0 - 9*b - 15/8*b**3 + 5/4*b**2 + 65/48*b**4 + q*b**7 - 5/16*b**5. Solve i(m) = 0.
-2, 1/2, 1
Let h(f) be the first derivative of -f**7/28 + 3*f**6/10 - 27*f**5/40 - 10*f + 8. Let l(y) be the first derivative of h(y). Factor l(s).
-3*s**3*(s - 3)**2/2
Let m(z) be the first derivative of -z**6/15 + 7*z**5/10 - 5*z**4/2 + 13*z**3/3 - 4*z**2 + 199*z + 212. Let a(q) be the first derivative of m(q). Factor a(y).
-2*(y - 4)*(y - 1)**3
Let u be (0*(-5)/10)/(-4). Let b = u + 4. Factor -13*a + 3*a + 6*a + b*a**3.
4*a*(a - 1)*(a + 1)
Let a = -4403 - -4405. Let b(w) be the third derivative of -3/56*w**4 + 0*w + 1/7*w**3 + 0 - 3*w**a + 1/280*w**6 + 0*w**5. Let b(s) = 0. Calculate s.
-2, 1
Let o(n) be the second derivative of n**5/2 - 23*n**4 + 79*n**3/3 + 54*n**2 - 1102*n. Let o(k) = 0. Calculate k.
-2/5, 1, 27
Let q(y) = -6*y**3 + 4*y**2 + 5*y. Let m = 225 + -220. Let r(h) = 10*h**3 - 6*h**2 - 8*h. Let c(a) = m*r(a) + 8*q(a). Factor c(j).
2*j**2*(j + 1)
Let v(g) be the third derivative of 1/105*g**6 + 0*g**5 + 0*g - 6*g**2 + 1/196*g**8 + 0*g**4 - 1 + 2/147*g**7 + 0*g**3. Find n such that v(n) = 0.
-1, -2/3, 0
Let t(w) = w**4 - 275*w**3 - 875*w**2 + 325*w + 874. Let d(l) = -3*l**4 + 826*l**3 + 2624*l**2 - 971*l - 2621. Let h(c) = -10*d(c) - 29*t(c). Solve h(v) = 0.
-3, -1, 1, 288
Let 194*k**2 + 1825346/3 + 2/3*k**3 + 18818*k = 0. What is k?
-97
Let i = -1655716/45 - -36794. Let o(j) be the first derivative of 13/9*j**4 - 8/9*j + i*j**5 + 43 + 2*j**3 + 4/9*j**2. Determine x so that o(x) = 0.
-2, -1, 2/7
Find h such that 251/3*h**3 + 76/3*h**4 - 1052/3*h - 514/3*h**2 + h**5 + 280 = 0.
-21, -5, -2, 2/3, 2
Let h(n) be the first derivative of -n**3/9 + 49*n**2 - 293*n/3 + 3568. What is w in h(w) = 0?
1, 293
Let t(w) = 16*w**4 + 50*w**3 + 67*w**2 + 38*w + 5. Let i(c) = -19*c**4 - 52*c**3 - 65*c**2 - 38*c - 6. Let y(u) = 5*i(u) + 6*t(u). Find a, given that y(a) = 0.
-38, -1, 0
Let d(g) = 15*g**2 + 6550*g + 1069305. Let v(p) = 23*p**2 + 9826*p + 1603959. Let m(t) = -8*d(t) + 5*v(t). Factor m(s).
-5*(s + 327)**2
Let j(c) be the first derivative of c**6/27 - 4*c**5/9 - 101*c**4/18 - 572*c**3/27 - 332*c**2/9 - 272*c/9 + 1801. Solve j(y) = 0 for y.
-2, -1, 17
Let o(s) = -6*s**4 + 4*s**2 - 8*s. Let m(x) = -56*x**4 - x**3 + 35*x**2 - 75*x + 2. Let i(h) = -2*m(h) + 19*o(h). Find p, given that i(p) = 0.
-1, 1, 2
Let y(l) = l + 49. Let d(b) = 7. Let f(z) = -14*d(z) + 2*y(z). Let v(p) = 10*p**2 + 6*p. Let n(r) = -4*f(r) + v(r). Factor n(k).
2*k*(5*k - 1)
Let g(u) be the first derivative of 0*u + 11/6*u**3 + 1/8*u**4 + 9/2*u**2 + 207. Factor g(r).
r*(r + 2)*(r + 9)/2
Suppose -9*p = 3*n - 4*p - 10, -4*n = -3*p + 6. Let r be n/((2 - 7) + 7) - -3. Suppose 6/5*k**4 - 22/5*k**r + 6/5*k + 2*k**2 + 0 = 0. What is k?
-1/3, 0, 1, 3
Factor 16/3*i + 2/9*i**3 - 4*i**2 + 256/9.
2*(i - 16)*(i - 4)*(i + 2)/9
Let g(n) be the second derivative of n**4/18 + 19*n**3/9 - 14*n**2 - 2605*n. Let g(u) = 0. What is u?
-21, 2
Let a = -7359 - -7359. Let i(d) be the second derivative of -5*d**2 + 5/2*d**3 - 5/12*d**4 + a - 28*d. Factor i(p).
-5*(p - 2)*(p - 1)
Let k be (-6 + 6)/(12 - 15 - -4). Factor k*d - 10/9*d**3 - 2/9*d**4 - 8/9*d**2 + 0.
-2*d**2*(d + 1)*(d + 4)/9
Suppose v + 23 - 6 = 4*w, -2*w + 13 = v. Suppose h - 5*y = -28, 5*h - 34 = -10*y + 6*y. Factor -v*b**4 + 3/4*b**5 + 0 - 3/2*b**h + 15/4*b**3 + 0*b.
3*b**2*(b - 2)*(b - 1)**2/4
Let l = -192924 + 192929. Factor 32/5*j**2 + 24/5*j**4 - 48/5*j**3 - 4/5*j**l + 0 + 0*j.
-4*j**2*(j - 2)**3/5
Let o(t) be the second derivative of t**5/130 + 31*t**4/78 - 100*t**3/39 + 68*t**2/13 - 1515*t. Find x, given that o(x) = 0.
-34, 1, 2
Let d(q) = -7*q**3 + 1436*q**2 + 2878*q + 1430. Let b(v) = 30*v**3 - 5742*v**2 - 11511*v - 5718. Let f(l) = 5*b(l) + 21*d(l). Suppose f(z) = 0. What is z?
-480, -1
Let b(a) be the second derivative of -a**4/60 - 83*a**3/30 - 266*a**2/5 + 7*a - 8. Factor b(x).
-(x + 7)*(x + 76)/5
Factor -96/5*d - 4/5*d**2 - 176/5.
-4*(d + 2)*(d + 22)/5
Factor 488*z + 42*z - 86*z + 3*z**2.
3*z*(z + 148)
Let h be ((-8)/96)/((-428)/(-1808)). Let b = -2/107 - h. Factor 2/9 + 1/9*m**2 - b*m.
(m - 2)*(m - 1)/9
Suppose 3*y - 1080 = 3*u, -2*y + 168 = -5*u - 537. Suppose y + 4*d - 737 + 372 - d**2 = 0. Calculate d.
0, 4
Let a(o) = -2*o - o + o - 98 + 138. Let d be a(16). Factor d*g + 2/3*g**2 + 0.
2*g*(g + 12)/3
Let y(b) be the first derivative of -b**7/231 - b**6/165 + b**5/110 + b**4/66 + 117*b - 34. Let t(z) be the first derivative of y(z). Let t(g) = 0. Calculate g.
-1, 0, 1
Let v(l) be the second derivative of -l**4/30 + 716*l**3/15 - 128164*l**2/5 - 1107*l - 2. Determine o so that v(o) = 0.
358
Let j = 766 + -733. Let q be 21/(-3) + 275/j. Factor 4/3*b**2 + 2/3 - 2/3*b**5 + 2*b - q*b**3 - 2*b**4.
-2*(b - 1)*(b + 1)**4/3
Let q(m) = 83*m**2 - 5*m - 3. Let x be q(-2). Let s = 339 - x. Factor -3/2*l**2 + 3/4*l**3 + 0*l + s.
3*l**2*(l - 2)/4
Let f(l) = l**3 + 887*l**2 - 24*l - 16. Let s(v) = 3*v + 2. Let p(k) = 5*f(k) + 40*s(k). Factor p(x).
5*x**2*(x + 887)
Let q = 10808 + -10808. Let l(u) = -u**2 + 6*u + 30. Let z be l(9). Factor -2/3 - 4/3*y**2 + 2/9*y**4 + q*y**z + 16/9*y.
2*(y - 1)**3*(y + 3)/9
Let i(b) be the second derivative of b**4/12 - 5*b**3/2 - 31*b**2/2 + 20*b. Let a be i(17). Factor -46*r**4 + 0*r**2 - 20*r**a - 28*r + 36*r**2 + 50*r**4 + 8.
4*(r - 2)*(r - 1)**3
Let h(t) be the third derivative of 4/3*t**3 + 0 - 1/360*t**6 + 11/90*t**5 + 0*t + 148*t**2 + 47/72*t**4. Determine d, given that h(d) = 0.
-1, 24
Let t = 156662/35 - 4476. Let q(l) be the first derivative of 6/7*l**2 - 3/7*l**4 + 16/21*l**3 + t*l**5 - 18/7*l - 16. Factor q(k).
2*(k - 3)**2*(k - 1)*(k + 1)/7
Let w = -195939555/13 - -15081609. Let a = w - 9330. Factor -2/13*l**2 - a - 24/13*l.
-2*(l + 6)**2/13
Let o(v) be the third derivative of -2*v**7/75 + 167*v**6/600 + 17*v**5/25 - v**4/24 - 7*v**3/15 - 7981*v**2. Let o(n) = 0. Calculate n.
-1, -2/7, 1/4, 7
Let b(j) be the first derivative of j**3/30 + 322*j**2/5 + 207368*j/5 + 652. Solve b(i) = 0.
-644
Let j(a) be the second derivative of -a**5/40 - 7*a**4/4 - 40*a**3 - 416*a**2 + 793*a - 6. Determine m so that j(m) = 0.
-26, -8
Let d = -1 - -4. Let l be ((-72)/(-72))/(1/7). Solve -35*v**3 + 44*v**3 - v**4 + d*v + l*v**2 + 4*v**4 + 2*v**2 = 0 for v.
-1, 0
Let h(q) be the second derivative of 26*q**4/3 - 386*q**3/3 - 30*q**2 + 2784*q. Suppose h(j) = 0. Calculate j.
-1/13, 15/2
Let b(j) be the first derivative of -j**3/9 - 10*j**2 - 300*j - 1342. Let b(t) = 0. Calculate t.
-30
Let c(i) = -i**5 - 7*i**4 + 15*i**3 - 8*i**2