*w + 51/2*w**2 - 40 = 0.
-8, -5, -2, 1
Let p = -784/1051 + 6556/3153. Suppose -1/3*v**2 + 4/3*v - p*v**3 + 1/3 = 0. Calculate v.
-1, -1/4, 1
Let b(k) be the third derivative of -1/540*k**5 + 8/27*k**3 + 0*k + 50*k**2 - 1/36*k**4 + 0. Find v, given that b(v) = 0.
-8, 2
Let g = 3532/68079 - -18/2063. Let t(s) be the first derivative of 0*s + 4/11*s**2 + 42 + g*s**3. What is l in t(l) = 0?
-4, 0
Let v(o) be the third derivative of -o**6/240 + 117*o**5/20 - 41067*o**4/16 + 16*o**2 + 96. Factor v(l).
-l*(l - 351)**2/2
Let f(x) be the first derivative of x**3/3 + 282*x**2 + 2690. Factor f(b).
b*(b + 564)
Let h = 507 - 505. Let 3 + 4*c + 64*c**h + 0 - 63*c**2 = 0. Calculate c.
-3, -1
Let z(x) be the second derivative of 0*x**2 + 0 - 66*x + 2/21*x**7 + 0*x**4 + 1/25*x**5 + 0*x**3 - 4/25*x**6. Let z(d) = 0. What is d?
0, 1/5, 1
Let o(w) be the first derivative of -w**4/2 - 422*w**3/3 + 425*w**2 - 426*w - 338. Factor o(a).
-2*(a - 1)**2*(a + 213)
Let a(f) be the first derivative of f**3 - 141*f**2/2 + 138*f + 2008. Solve a(n) = 0.
1, 46
Suppose -34/7*i**2 + 292/7*i - 160/7 = 0. What is i?
10/17, 8
Let c(n) be the first derivative of 2*n**5/5 - 3*n**4/2 - 8*n**3/3 - 2118. Suppose c(m) = 0. Calculate m.
-1, 0, 4
Let p(i) be the third derivative of -i**7/1785 + 19*i**6/1020 - i**5/15 + 4*i**2 - 170. Find h, given that p(h) = 0.
0, 2, 17
Suppose -2*l + 8 = 3*r, -548 = -2*l - 5*r - 540. Suppose 7/8*j**l - 2*j - 19/8*j**3 - 1/8*j**5 + 25/8*j**2 + 1/2 = 0. What is j?
1, 2
Let s be 1875/150 - (-315)/(-30). Suppose -16 - 52/3*q**s + 4/3*q**3 - 100/3*q + 4/3*q**4 = 0. What is q?
-3, -1, 4
Let g(b) = 0*b + 0 - b**2 + 5 - 5*b - 1. Let o(p) = -p + 1. Suppose 0 = -6*h + h - 15. Let d(f) = h*g(f) + 12*o(f). Factor d(s).
3*s*(s + 1)
Let b be (40/16)/(3/6). Let k be (-4)/(16/(-20)) - (-4 + b). Let -4/5*h**2 - 14/5*h**k - 18/5*h**3 + 0 + 0*h = 0. Calculate h.
-1, -2/7, 0
Suppose 23*l = 6*l + 34. Suppose 27*j + j**5 + 10 + 4904*j**l - 2*j**3 - 4884*j**2 - 6*j**4 - 2*j**5 = 0. Calculate j.
-5, -1, 2
Let i = -13818971/2046 - 8327/186. Let u = i - -6814. Let -6*p**2 - u*p**3 + 8/11 - 42/11*p**5 - 142/11*p**4 + 8/11*p = 0. What is p?
-1, -2/3, 2/7
Factor -1/6*v**2 + 1/6*v**3 - 7/2*v + 15/2.
(v - 3)**2*(v + 5)/6
Let r(y) be the first derivative of 5*y**9/756 - 17*y**8/336 + 17*y**6/72 - y**5/6 + 4*y**3/3 - 98. Let s(p) be the third derivative of r(p). Solve s(z) = 0.
-1, 0, 1/4, 1, 4
Let q = 560 + -545. Let y be (96/q)/(-7 - (-492)/60). Factor 2/3*u**3 + y*u + 10/3*u**2 + 8/3.
2*(u + 1)*(u + 2)**2/3
Find x such that -1791/2*x + 3/2*x**2 + 0 = 0.
0, 597
Let x(h) be the second derivative of h**6/1020 - 8*h**5/255 + 14*h**2 + 48*h. Let o(c) be the first derivative of x(c). Factor o(d).
2*d**2*(d - 16)/17
Let l(s) be the first derivative of -s**6/480 + s**5/40 + 7*s**4/96 + s**2 + 8*s - 41. Let a(j) be the second derivative of l(j). Factor a(u).
-u*(u - 7)*(u + 1)/4
Let z(o) be the second derivative of 5*o**4/12 - 455*o**3 + o - 2687. Factor z(u).
5*u*(u - 546)
Factor -34*l**2 - 33*l + 67/2 + 33*l**3 + 1/2*l**4.
(l - 1)**2*(l + 1)*(l + 67)/2
Let v(r) = 2*r + 39. Let m be v(-17). Suppose 0 = 2*n - 3*n + m, -2*a - n = -179. Solve -2*f**3 - a*f + 64 - 12*f**2 + 87*f = 0.
-4, 2
Let z be (-156)/416 + (-19)/(-8). Let d(k) be the first derivative of 12 - 2/35*k**5 + 2/7*k**3 - 1/14*k**4 + 5/7*k**z + 4/7*k. Solve d(w) = 0 for w.
-1, 2
Let h(g) be the third derivative of -g**9/272160 + g**8/45360 - g**7/22680 - g**5/20 + g**4/6 - 57*g**2. Let m(t) be the third derivative of h(t). Factor m(o).
-2*o*(o - 1)**2/9
Let r(b) be the second derivative of b - 5/2*b**3 - 1/50*b**6 + 3/100*b**5 - 1 + 5/4*b**4 + 0*b**2. Factor r(n).
-3*n*(n - 5)*(n - 1)*(n + 5)/5
Let j(u) = 16*u**2 - u + 3. Let l be j(-3). Suppose 11*q - 122 = -32 + 31. Factor q - 88*y**2 - 19 - 14*y**3 + 2 - 30 - l*y.
-2*(y + 3)**2*(7*y + 2)
Let u(q) be the third derivative of q**5/12 - 325*q**4/2 + 3895*q**3/6 - 97*q**2 - 1. Factor u(k).
5*(k - 779)*(k - 1)
Let g(f) be the first derivative of -343*f**4/20 + 539*f**3/5 - 2541*f**2/10 + 1331*f/5 + 576. Find m such that g(m) = 0.
11/7
Let q be 2*225/(-30) + 18. Let i = 17 + -12. Factor -7*b**4 - b**2 + 4*b**i + 2*b**2 - 788*b**3 + 790*b**q.
b**2*(b - 1)**2*(4*b + 1)
Factor -3/5*b**4 + 0 - 69/5*b**3 + 0*b - 36*b**2.
-3*b**2*(b + 3)*(b + 20)/5
Let t(i) be the second derivative of -i**5/5 - 48*i**4 - 568*i**3/3 + 3300*i. Factor t(s).
-4*s*(s + 2)*(s + 142)
Let r(w) be the first derivative of -2*w**5/21 + 13*w**4/42 - 8*w**3/21 - w**2/2 - 2*w + 8. Let j(h) be the second derivative of r(h). Let j(p) = 0. What is p?
1/2, 4/5
Factor 216 - 17623*u**3 + 17625*u**3 + 24*u - 28*u**2 - 10*u**2.
2*(u - 18)*(u - 3)*(u + 2)
Let p(q) be the third derivative of q**8/1344 - q**7/840 - 3*q**6/160 + q**5/240 + 5*q**4/24 + q**3/2 - q**2 - 170*q. Solve p(b) = 0.
-2, -1, 2, 3
Let a(t) = 34*t**3 - 437*t**2 + 321*t + 72. Let n(z) = -36*z**3 + 436*z**2 - 320*z - 72. Let x(c) = -4*a(c) - 5*n(c). Factor x(l).
4*(l - 9)*(l - 1)*(11*l + 2)
Let o(r) be the third derivative of 5*r**8/336 + 67*r**7/21 + 4745*r**6/24 + 4225*r**5/3 - r**2 + r - 936. Factor o(x).
5*x**2*(x + 4)*(x + 65)**2
Find x such that -60 - 121/2*x - 1/2*x**2 = 0.
-120, -1
Let k(h) be the first derivative of -h**3/3 + 19*h**2/2 - 78*h + 1521. Let k(v) = 0. What is v?
6, 13
Determine t so that -30/13*t - 100/13 - 2/13*t**2 = 0.
-10, -5
Let u(k) be the third derivative of -k**6/30 - 38*k**5/15 - 139*k**4/6 - 68*k**3 + k**2 + 3*k + 243. Factor u(t).
-4*(t + 1)*(t + 3)*(t + 34)
Let c be (-1 + 21/(-6))*66/(-9). Suppose -45 + c = -3*u. Suppose 10*b + 150*b**4 - 21*b**2 + 5*b**3 - 140*b**u - 5*b**2 + b**2 = 0. What is b?
-2, 0, 1/2, 1
Let w(k) be the third derivative of 0*k - 2/525*k**7 - 80*k**2 + 1/2520*k**8 + 0 + 1/45*k**4 + 0*k**3 + 13/900*k**6 - 2/75*k**5. Factor w(h).
2*h*(h - 2)**2*(h - 1)**2/15
Let z(g) be the third derivative of g**8/448 - g**7/70 - g**6/40 + g**5/5 + g**2 - 173. Let z(p) = 0. What is p?
-2, 0, 2, 4
Factor -108 - 3*g**2 - 245*g - 40*g - 6*g - 34*g.
-(g + 108)*(3*g + 1)
Factor 124 + 97*w + 37/2*w**2 + 1/2*w**3.
(w + 2)*(w + 4)*(w + 31)/2
Let x(v) be the first derivative of -v**4 + 244*v**3/3 - 2480*v**2 + 33600*v - 4376. Find f, given that x(f) = 0.
20, 21
Let m be (9/(-15)*(2 - -1))/((-26424)/11010). What is o in -1/4*o**2 + m*o + 0 = 0?
0, 3
Let x(b) = b**4 - b**3 - b**2 + 1. Let n(d) = -4*d**4 - 345*d**3 + 5*d**2 - 5. Let q(v) = -n(v) - 5*x(v). Factor q(t).
-t**3*(t - 350)
Suppose -170 - 420 = -180*g + 199 - 69. Solve 288/5 + 334/5*c**3 - 336/5*c - 238/5*c**2 - 10*c**g + 2/5*c**5 = 0.
-1, 1, 12
Let o(p) be the second derivative of -3*p**5/20 + 123*p**4/2 - 731*p**3/2 + 729*p**2 - 3274*p. What is n in o(n) = 0?
1, 2, 243
Let j(c) be the third derivative of c**5/360 + 3*c**4/8 + 81*c**3/4 + 9*c**2 - 34. Suppose j(a) = 0. Calculate a.
-27
Let h(d) be the first derivative of 0*d**2 + 2/3*d**3 + 1/2*d**4 - 7 + 1/10*d**5 - 9*d. Let n(z) be the first derivative of h(z). Find a, given that n(a) = 0.
-2, -1, 0
Let o(u) = -39*u - 30*u + 30 + 65*u. Let s be o(7). Factor -5*r + 1 + r**s - 6 - 1.
(r - 6)*(r + 1)
Let t(z) be the third derivative of 3/70*z**7 + 3*z - 3/20*z**5 - 1/20*z**6 + 0*z**3 + 1/4*z**4 + 0 - 10*z**2. Factor t(h).
3*h*(h - 1)*(h + 1)*(3*h - 2)
Find y, given that 9/5*y**2 + 21/5 + 6*y = 0.
-7/3, -1
Let y(l) be the second derivative of -l**8/26880 + l**7/2520 + l**6/576 - l**4/6 - 31*l. Let h(d) be the third derivative of y(d). Factor h(k).
-k*(k - 5)*(k + 1)/4
Let z = 90864 - 90860. Factor 5/2*y**3 - 25/2*y - 5/2*y**z + 5 + 15/2*y**2.
-5*(y - 1)**3*(y + 2)/2
Let j(z) = -z**3 + 12*z**2 - 7*z + 84. Let m be j(12). Let q = 33 + -361/11. Solve 0*b - q*b**4 + 0*b**2 + m + 0*b**3 = 0.
0
Let w(t) = -4*t**4 - 246*t**3 + 744*t**2 - 800*t + 252. Let f(k) = 12*k**4 + 737*k**3 - 2232*k**2 + 2392*k - 756. Let n(b) = -6*f(b) - 17*w(b). Factor n(y).
-4*(y - 1)**3*(y + 63)
Let k be -7*(638/(-1155))/29. Suppose -n - 3 = 5*z, -4*z + 0*z + 2 = 3*n. What is h in 4/5*h**n + 0*h + 0 + k*h**3 = 0?
-6, 0
Factor -2*h**3 + 67 + 77 - 320*h**2 + 217*h - 26*h + 13*h - 26*h**3.
-4*(h - 1)*(h + 12)*(7*h + 3)
Let u(v) = v**2 + 91*v - 7627. Let l be u(53). Let m(h) be the second derivative of 0*h**2 - 4/105*h**6 + 3/70*h**l + 1/42*h**4 + 2*h + 0*h**3