 6*f - 21*f**2 - 36*f**3 + p*f**3 = 0. Calculate f.
-2, -1, 0
Determine w, given that -12 - 7*w**2 - 202*w**2 + 418*w**2 - 66*w**3 - 200*w + 13*w**3 = 0.
-3/53, 2
Suppose -2*r = -0*r - 5*x - 48, -5*r - 3*x = -151. Suppose -6*t = -r + 5. Solve 456 + t*w + w - 456 + 5*w**2 = 0.
-1, 0
Let u be -1*-7*3*3/9. Suppose 10*j - 15 = u*j. Factor 10*s**4 + 0*s**5 + 18*s - 13*s - 10*s**2 - 5*s**j.
-5*s*(s - 1)**3*(s + 1)
Find l, given that 27456*l + 5832/7*l**3 - 165/7*l**4 - 278784/7 + 1/7*l**5 + 80924/7*l**2 = 0.
-6, 1, 88
Let h(i) be the third derivative of i**5/20 + 63*i**4/8 - 65*i**3 - 29*i**2 + 3*i. What is r in h(r) = 0?
-65, 2
What is u in -1 - 5/3*u**2 - 7/3*u - 1/3*u**3 = 0?
-3, -1
Let t = -30533/21 + 1454. Let m(s) be the second derivative of t*s**4 + 0*s**2 + 0*s**3 + 0 + 3/70*s**5 + 6*s - 1/147*s**7 + 0*s**6. Factor m(o).
-2*o**2*(o - 2)*(o + 1)**2/7
Let c(o) be the second derivative of -o**8/2016 + o**7/1260 + o**6/720 - o**5/360 + 53*o**2/2 + 73*o. Let k(g) be the first derivative of c(g). Factor k(i).
-i**2*(i - 1)**2*(i + 1)/6
Suppose 684023 + 1873997 - 8070*z - 481139 + 57*z**2 + 1179364 - 52*z**2 = 0. Calculate z.
807
Let g = 474 - 459. Suppose 16*z = 11*z + g. Factor -55/6*a - 5*a**2 - 5/6*a**z - 5.
-5*(a + 1)*(a + 2)*(a + 3)/6
Suppose -4*r - 10 = 2*v, -4*v + 12 = -2*r - 8. Let g(j) be the third derivative of 0*j + 0 - 3/10*j**v - 16/75*j**5 - 2/5*j**4 + 7*j**2. Factor g(c).
-(8*c + 3)**2/5
Let z(n) = -2*n**3 + 190*n**2 + 140*n - 196. Let y(w) = 6*w**3 - 572*w**2 - 397*w + 589. Let a(m) = -6*y(m) - 17*z(m). Factor a(p).
-2*(p - 101)*(p - 1)*(p + 1)
Let v(k) be the first derivative of -k**6/18 + 2*k**5/5 - 3*k**4/4 + 4*k**3/9 + 3667. Solve v(f) = 0.
0, 1, 4
Let n(f) be the second derivative of 3*f**5/5 + 14*f**4/3 + 16*f**3/3 + 1677*f. Solve n(d) = 0 for d.
-4, -2/3, 0
Let u be (-38 + 19448/510)*250/8. Factor -u - 1/6*n**3 - 35/6*n - 11/6*n**2.
-(n + 1)*(n + 5)**2/6
Find w, given that 12 - 1/4*w**5 + 13/4*w**4 + 139/4*w**2 - 34*w - 63/4*w**3 = 0.
1, 3, 4
Determine g so that -34/7*g + 32/7*g**3 + 27/7*g**4 + 2/7*g**5 + 24/7 - 51/7*g**2 = 0.
-12, -2, -1, 1/2, 1
Solve 9203*n + 11304*n**3 - 8912*n + 28*n**4 - 14826*n + 7996*n**2 + 6448 - 11241*n = 0.
-403, -2, 2/7, 1
Let i(c) be the first derivative of 5*c**3/3 + 190*c**2 - 1600*c - 5442. Factor i(k).
5*(k - 4)*(k + 80)
Let v(d) be the third derivative of -d**5/30 + 605*d**4/3 + 807*d**3 - 11525*d**2. Let v(u) = 0. What is u?
-1, 2421
Let c(p) be the third derivative of -p**8/1680 - p**7/210 + 3*p**6/200 + 13*p**5/300 - 7*p**4/30 + 2*p**3/5 - 5918*p**2. Factor c(j).
-(j - 1)**3*(j + 2)*(j + 6)/5
Determine p, given that -734*p + 1004*p + 75*p**2 + 200 + 5*p**3 + 0 = 0.
-10, -4, -1
Let u be 629/185 - (-1 + (-14)/(-10)). Suppose u*i - b - 5 = -0, -2*i = 4*b - 8. Factor 7*p + i*p**2 - 100 - 47*p - 6*p**2.
-4*(p + 5)**2
Let a(r) be the first derivative of 75/7*r**3 - 5625/14*r**2 + 46875/7*r - 6 - 3/28*r**4. Suppose a(n) = 0. What is n?
25
Find a, given that -31*a**3 + 6*a**3 - 80*a**2 - 96*a + 114*a**5 - 9*a**4 + 65*a**3 + 29*a**4 - 118*a**5 = 0.
-2, -1, 0, 2, 6
Let t = -4 + 61. Suppose t = 4*z + 3*x, 23 = -5*z - 4*x + 95. Solve 19 - 5 + 2 + z*q**2 - 4*q**4 + 32*q - 8*q**3 = 0.
-2, -1, 2
Let m(d) be the second derivative of -d**6/90 + 7*d**5/20 - 2*d**4 - 24*d**3 + 2*d - 91. Determine v, given that m(v) = 0.
-3, 0, 12
Let o(l) be the third derivative of 19683/5*l**3 + 1/100*l**6 + 0*l + 2187/20*l**4 + 81/50*l**5 + 0 + 25*l**2. Solve o(p) = 0 for p.
-27
Let u(z) be the first derivative of z**4/26 + 12*z**3/13 + 81*z**2/13 + 891. Determine w, given that u(w) = 0.
-9, 0
Let n(d) be the third derivative of d**7/6300 + d**6/200 + 2*d**5/75 - 7*d**4/3 + 2*d**2 - 3*d. Let p(m) be the second derivative of n(m). Solve p(c) = 0 for c.
-8, -1
Let v(o) = -2*o**3 + 14*o**2 - 5*o - 45. Let i be v(6). Let b be -8 + 4 + i - -9. Find y, given that -64/5*y - 2/5*y**b - 512/5 = 0.
-16
Let o(w) be the third derivative of w**7/84 + w**6/20 + w**5/20 - w**4/12 - 185*w**3/6 - w**2 + 35. Let y(l) be the first derivative of o(l). Factor y(t).
2*(t + 1)**2*(5*t - 1)
Let d(h) be the second derivative of -5*h**3/6 - 3*h**2/2 + 24*h. Let l be d(-2). Factor -l*g**2 + 8*g**2 + 20*g - 6*g**2.
-5*g*(g - 4)
Let z be 8 - 2/(12/30). Determine d so that -50*d**2 - 4*d**4 - 121*d**2 + 91*d**2 - 48*d - 36*d**z = 0.
-6, -2, -1, 0
Let d(k) be the third derivative of k**8/2016 - 9*k**7/140 + 77*k**6/720 + 241*k**5/360 - 13*k**4/24 - 40*k**3/9 - 4866*k**2. Suppose d(u) = 0. Calculate u.
-1, 1, 2, 80
Let w = -83793 + 83795. Solve -2/9 - 2/9*a**w - 4/9*a = 0 for a.
-1
Let j(k) be the first derivative of k**6/600 - 13*k**5/100 + 49*k**3/3 + 6. Let a(q) be the third derivative of j(q). Suppose a(b) = 0. Calculate b.
0, 26
Let k(j) be the second derivative of j**4/14 + 2066*j**3/7 + 3201267*j**2/7 - 2171*j - 2. Factor k(i).
6*(i + 1033)**2/7
Let l(j) = j**3 + 108*j**2 - 243*j + 130. Let v(m) = -3*m**2 + 2. Let b(z) = l(z) - 4*v(z). Factor b(k).
(k - 1)**2*(k + 122)
Let j(i) be the second derivative of i**4/12 + 5*i**3/2 - 8*i**2 + i + 25. Let b be j(-16). Factor b - 6/11*t - 2/11*t**2.
-2*t*(t + 3)/11
Factor 69*y**4 + 441 + 570*y**3 + 1450*y**2 - 141206*y**5 + 1365*y - 24*y**4 + 141207*y**5.
(y + 1)**3*(y + 21)**2
Suppose 3*o + 3*b + 11 = 32, -3*o - 19 = -5*b. Factor -6*q**2 - 38*q - 42*q + 2*q**o + 60*q.
-4*q*(q + 5)
Solve 16*y - 56*y**3 + 2*y**4 - 2384*y**2 + 2382*y**2 + 40*y + 0*y**4 = 0.
-1, 0, 1, 28
Let s(x) = 11*x**3 + 879*x**2 + 39588*x + 38714. Let r(d) = -12*d**3 - 878*d**2 - 39586*d - 38713. Let m(c) = 6*r(c) + 7*s(c). Factor m(o).
5*(o + 1)*(o + 88)**2
Let d = 20 - 17. Let p be ((-6)/5)/(d/(-5)). What is s in 7*s**4 + 3*s**4 - 35*s**5 - 10*s**p + 40*s**5 - 5*s = 0?
-1, 0, 1
Let m be ((24/20)/3)/((-1089)/165 - -8). Suppose -4 = -5*w - 2*z, -3*z - 6 - 13 = -5*w. Factor k**3 + 12/7*k**w - m + 3/7*k.
(k + 1)**2*(7*k - 2)/7
Let p be 2461/69 - (10 + 21). What is i in 2*i + 0 + p*i**2 + 10/3*i**3 + 2/3*i**4 = 0?
-3, -1, 0
Let l(z) be the second derivative of z**4/4 + 305*z**3/2 - 230*z - 3. Factor l(h).
3*h*(h + 305)
Let d(q) be the third derivative of q**5/60 - 59*q**4/6 - 79*q**3/2 + 1001*q**2. Solve d(k) = 0 for k.
-1, 237
Let y = -6859 - -6861. Let m(g) be the first derivative of -2/9*g**3 - 7 + 4/3*g**y - 8/3*g. Solve m(p) = 0 for p.
2
Let a(q) = 5*q**4 + q**2 + q + 1. Let i(u) = -8*u**4 + 28*u**3 + 126*u**2 + 226*u + 124. Let d(k) = 2*a(k) + i(k). Determine w, given that d(w) = 0.
-7, -3, -1
Let v(c) be the third derivative of c**11/665280 + c**10/151200 + c**9/120960 + 7*c**5/15 + c**2 - 28. Let q(s) be the third derivative of v(s). Factor q(j).
j**3*(j + 1)**2/2
Let q(n) be the second derivative of 0 - 4/21*n**7 + 5/4*n**5 - 105*n + 5/12*n**4 - 7/30*n**6 - 17/6*n**3 + n**2. Solve q(k) = 0 for k.
-2, -1, 1/8, 1
Suppose 1206 = -6*u + 1446. Suppose -3*p + u = 37. Find t, given that -2*t + 1/4*t**5 - p - 1/4*t**2 + 5/4*t**4 + 7/4*t**3 = 0.
-2, -1, 1
Let f be (-18)/8 - 273/(-26). Determine t so that 0 + f*t**4 - 3*t - 105/4*t**3 + 21*t**2 = 0.
0, 2/11, 1, 2
Let l(i) be the second derivative of -1/15*i**5 + 7*i + 16/3*i**2 + 1 + 8/9*i**3 - 2/3*i**4 + 2/45*i**6. Factor l(o).
4*(o - 2)**2*(o + 1)*(o + 2)/3
Let q(g) be the second derivative of 0 + 34*g**3 - 1/15*g**6 + 45*g**2 + 164*g + 34/3*g**4 + g**5. Factor q(u).
-2*(u - 15)*(u + 1)**2*(u + 3)
Let u(l) be the second derivative of l**6/120 + 81*l**5/20 - 979*l**4/48 + 109*l**3/4 - 8621*l. Solve u(x) = 0.
-327, 0, 1, 2
Factor 100/3*m**2 - 800/3*m + 2000/3 - 4/3*m**3.
-4*(m - 10)**2*(m - 5)/3
Determine u so that 13*u**3 + 220*u**2 - 39*u + 2*u**4 - 67*u**3 + 12*u + 27*u = 0.
0, 5, 22
Let l be (-20)/(-9) - (-18)/(-81). Let h be ((-6)/(-2) + -3)/l. Factor 0 - 1/8*q**5 + 0*q + h*q**4 + 3/8*q**3 - 1/4*q**2.
-q**2*(q - 1)**2*(q + 2)/8
Let a(q) be the first derivative of q**3/3 - q**2 - 2*q - 2. Let r(o) = -7 - 7*o**2 + 5 - 2 + o**2 + 8*o**2 - 5*o. Let j(m) = 7*a(m) - 3*r(m). Factor j(d).
(d - 1)*(d + 2)
Let h(y) be the second derivative of -11*y**5/40 - 35*y**4/24 + 7*y**3/12 + 39*y**2/4 - 3*y + 1. Factor h(r).
-(r - 1)*(r + 3)*(11*r + 13)/2
Let c(a) be the second derivative of -5*a**4/36 + 1990*a**3/9 - 396010*a**2/3 + 1151*a. Factor c(p).
-5*(p - 398)**2/3
Let p(l) be the first derivat