/15 - 61*s**6/30 + 28*s**5/15 + 10*s**4 + 559*s**2. Suppose w(x) = 0. What is x?
-2, -1, 0, 1, 30
Suppose -48*g + 411 = 267. Factor 1/3*p**5 + 0*p**2 + 1/3*p**4 + 0*p**g + 0*p + 0.
p**4*(p + 1)/3
Let m = 15824/5 - 3164. Determine p, given that -4/5*p**4 + 0 + 0*p**3 + m*p**2 + 0*p = 0.
-1, 0, 1
What is o in -13 + 21/8*o - 1/8*o**2 = 0?
8, 13
Suppose 0 = -3*v + 108 - 102. Let s(z) be the first derivative of -2/33*z**3 - 18/11*z + 6/11*z**v + 4. Determine d, given that s(d) = 0.
3
Suppose 0 = -5*z + 14 - 4. Let h be (2 + (-3)/z)*2. Factor 7*g**2 - 3*g**3 + 4*g**4 - 2*g**2 + 3*g + h - 10*g**2.
(g - 1)**2*(g + 1)*(4*g + 1)
Let w(g) = 7*g**3 - 69*g**2 - 1005*g - 4376. Let j(k) = -k**3 - k**2 - k - 2. Let i(t) = 18*j(t) + 2*w(t). Solve i(f) = 0.
-13
Let a = -45 - -47. Factor -a*o**2 - o**3 + 133*o - 256*o + 126*o.
-o*(o - 1)*(o + 3)
Let h = -3658/2975 + 21/17. Let i(g) be the third derivative of -h*g**7 + 0 + 0*g**3 + 1/60*g**6 - 1/75*g**5 - 2*g**2 + 0*g + 0*g**4. Solve i(d) = 0.
0, 2/3, 1
Let b(p) be the first derivative of -p**3/9 + 42*p**2 - 5292*p + 260. Suppose b(k) = 0. Calculate k.
126
Let n(w) = 7*w**4 - 15*w**3 + 31*w**2 + 125*w + 77. Let j(a) = -4*a**4 + 7*a**3 - 16*a**2 - 63*a - 39. Let y = 8 + -13. Let s(i) = y*j(i) - 3*n(i). Factor s(r).
-(r - 6)**2*(r + 1)**2
Let b(x) be the first derivative of -x**5 - 35*x**4/4 - 80*x**3/3 - 30*x**2 - 77. Find w such that b(w) = 0.
-3, -2, 0
Let k(s) be the third derivative of s**5/390 - 43*s**4/78 + 1849*s**3/39 + 40*s**2. Factor k(j).
2*(j - 43)**2/13
Suppose -16/11*d**3 - 2/11*d**4 - 14/11*d**2 + 0 + 0*d = 0. Calculate d.
-7, -1, 0
Let u = 5/4 - 1. Let l be 1/2*(7 + 5) + -6. Factor l + u*r**2 - 1/4*r.
r*(r - 1)/4
Let o(d) be the third derivative of d**6/2160 + d**5/360 + d**4/144 - 25*d**3/6 + 22*d**2. Let p(l) be the first derivative of o(l). Factor p(r).
(r + 1)**2/6
Let c be (8/(-5))/(2/(-5)). Factor 10*o**c - 8*o**3 + 32*o**3 + 12*o - 10*o**3 + 46*o**2 + 30*o**3.
2*o*(o + 1)*(o + 3)*(5*o + 2)
Let a(c) be the second derivative of c**7/28 - 2*c**6/15 - c**5/5 + 7*c**4/12 + 5*c**3/12 - 3*c**2/2 + 93*c. Let a(x) = 0. Calculate x.
-1, 2/3, 1, 3
Let c(u) = -100*u - 1. Let y be c(-1). Let a be (0 + 12/y)*(-6)/(-4). Factor 0 - a*m + 0*m**2 + 2/11*m**3.
2*m*(m - 1)*(m + 1)/11
Let k be 20/35 + (-10)/(-7). Factor 3 - 2*s**2 + 8*s**k + 1 - 6*s - 4*s**2.
2*(s - 2)*(s - 1)
Let t be -4 + 1 + 6*70/120. Let -1/4*a + 1/4*a**3 - t + 1/2*a**2 = 0. What is a?
-2, -1, 1
Let c = 178 + -174. Let o(z) be the second derivative of 1/3*z**3 + 3*z + 0 - 1/9*z**6 - 2/3*z**2 - 1/10*z**5 + 7/18*z**c. What is y in o(y) = 0?
-1, 2/5, 1
Let l(y) be the second derivative of y**5/40 - y**4/3 - 11*y**3/4 - 244*y. Factor l(d).
d*(d - 11)*(d + 3)/2
Let x(g) = g**2 - 19. Let b be x(-8). Determine u, given that b*u**5 + 0*u + 10*u**3 + 0*u - 40*u**5 + 15*u**4 = 0.
-2, -1, 0
Factor 2/5*s**2 - 38/5*s - 8.
2*(s - 20)*(s + 1)/5
Let j(g) be the first derivative of 3/7*g**4 - 2/7*g**5 + 6/7*g + 1/21*g**6 + 4/21*g**3 - g**2 - 8. Factor j(z).
2*(z - 3)*(z - 1)**3*(z + 1)/7
Let a be (2/5)/((-15)/(-450)). Let i be (a/(-21))/(4/(-14)). Factor -4/5 - 1/5*n**i + 4/5*n.
-(n - 2)**2/5
Factor 41/3*k**2 - 3 - 7/3*k**3 - 19*k.
-(k - 3)**2*(7*k + 1)/3
Solve 2/3*f**5 + 5*f**3 - 20/3*f**2 - 4*f + 0 + 5*f**4 = 0 for f.
-6, -2, -1/2, 0, 1
Let m(x) be the third derivative of -5/1848*x**8 + 1/660*x**6 + 0*x + 0 - 4/385*x**7 - 35*x**2 + 1/33*x**4 + 0*x**3 + 2/55*x**5. Solve m(q) = 0 for q.
-2, -1, -2/5, 0, 1
Let t be (-9)/(-1)*(-16)/(-48). Suppose -t*c - 2*v + 29 = 0, 5*c + 4*v - 27 = 6*v. Suppose m**5 + 5/3*m**4 - 4/3 - c*m**2 - 16/3*m - 7/3*m**3 = 0. Calculate m.
-1, -2/3, 2
Let k(f) = 65*f**3 - 835*f**2 - 485*f + 3520. Let w(h) = -3*h**3 + 38*h**2 + 22*h - 160. Let c(g) = 2*k(g) + 45*w(g). Factor c(d).
-5*(d - 8)*(d - 2)*(d + 2)
Suppose 5*a - 28 = -3*f, 31 = 3*f - 0*a + 2*a. Factor -215 + f*w**2 - 13*w**2 + 15 - 40*w.
-2*(w + 10)**2
Let a be (-3)/27 - 1/(-9). Let s(h) be the second derivative of -1/48*h**4 + 0 + a*h**2 + 1/24*h**3 - 6*h. Let s(f) = 0. What is f?
0, 1
Let w(r) be the second derivative of 5*r**7/42 + r**6/2 - 5*r**5/4 - 5*r**4/4 + 10*r**3/3 - 66*r + 5. Determine s, given that w(s) = 0.
-4, -1, 0, 1
Let r(w) be the second derivative of -1/72*w**4 - 1/36*w**3 + 0 - 43*w + 0*w**2 + 1/60*w**5. Factor r(u).
u*(u - 1)*(2*u + 1)/6
Let p(c) be the first derivative of 4/3*c**3 + 16 + 0*c - c**4 + 0*c**2. Factor p(o).
-4*o**2*(o - 1)
Let w(x) = 8*x**2 - 715*x - 3. Let c(s) = 65*s**2 - 5715*s - 25. Let q(o) = 3*c(o) - 25*w(o). Let q(p) = 0. What is p?
0, 146
Let q be (-390)/(-72) - (-27)/(-36). Factor -2/3 - q*v - 4*v**2.
-2*(v + 1)*(6*v + 1)/3
Factor 36/7 - 6/7*u - 2/7*u**2.
-2*(u - 3)*(u + 6)/7
Let o be -1 + 3 - (75 + -75). Let c(t) be the second derivative of 0 + 3/40*t**5 + 7*t - 1/3*t**3 + 0*t**o - 1/6*t**4. Find a such that c(a) = 0.
-2/3, 0, 2
Let q(h) be the third derivative of 1/78*h**5 + 0*h**3 - 1/78*h**4 + 1/1365*h**7 + 0*h - 25*h**2 + 0 - 1/195*h**6. Determine y, given that q(y) = 0.
0, 1, 2
Let p be 1*(6 + 822/(-133)). Let k = p - -36/19. Find d, given that 0 + 3*d**3 + 12/7*d**4 - k*d - 9/7*d**5 - 12/7*d**2 = 0.
-1, -2/3, 0, 1, 2
Factor 4/3*t**2 + 340/3*t - 344/3.
4*(t - 1)*(t + 86)/3
Suppose -10024*u**4 + 16 + 2*u**5 + 10018*u**4 + 0*u**5 + 14*u**2 + 36*u - 14*u**3 = 0. Calculate u.
-1, 2, 4
Let j(n) = 4*n**2 + 5*n + 5. Let m(u) = -4*u**2 - 6*u - 6. Suppose -31 = -9*c + 14. Let d(k) = c*m(k) + 6*j(k). Let d(v) = 0. What is v?
0
Let a(l) be the third derivative of -7*l**5/75 - 331*l**4/30 - 188*l**3/15 - 40*l**2. Let a(v) = 0. Calculate v.
-47, -2/7
Let g = -2133 - -2142. Let r(i) be the first derivative of -g + 1/2*i - 1/6*i**3 + 7/16*i**4 - 7/8*i**2. What is x in r(x) = 0?
-1, 2/7, 1
Find v, given that -361*v - 12 + 3*v**2 - 5*v**2 + 371*v = 0.
2, 3
Let j = -9762 + 9766. Solve 0*w**2 + 0 + 0*w - 2/3*w**3 - 2/9*w**j = 0.
-3, 0
Let l(f) = -9*f**3 - 8*f**2 + 12*f + 12. Let x(t) = 16*t**3 + 14*t**2 - 24*t - 25. Let u(h) = 7*l(h) + 4*x(h). Let u(a) = 0. Calculate a.
-2, 4
Let r(t) be the second derivative of t**7/273 - t**6/39 + 17*t + 3. Let r(k) = 0. What is k?
0, 5
Let m(d) be the second derivative of -2*d**7/147 + 2*d**6/105 + d**5/7 - 5*d**4/21 - 8*d**3/21 + 8*d**2/7 + 3*d + 17. Let m(l) = 0. Calculate l.
-2, -1, 1, 2
Let i(q) = 120*q**3 + 220*q**2 - 275*q - 130. Let j(l) = 11*l**3 + 20*l**2 - 25*l - 12. Let f(v) = 6*i(v) - 65*j(v). Factor f(h).
5*h*(h - 1)*(h + 5)
Let w = 604 - 2415/4. Suppose -3 = -5*a + 7. Factor -1/4*z**3 - 1/4 + w*z**a + 1/4*z.
-(z - 1)**2*(z + 1)/4
Suppose -57*g**3 + 5571 + 52*g**3 - 20257 - 5557*g - 1559 + 565*g**2 - 10118*g = 0. What is g?
-1, 57
Let d(r) be the third derivative of -r**7/280 - r**6/40 - r**5/20 - 11*r**3/6 - 15*r**2. Let y(k) be the first derivative of d(k). Suppose y(q) = 0. What is q?
-2, -1, 0
Solve 32*g + 2/7*g**2 + 896 = 0 for g.
-56
Let g(q) be the second derivative of -q**4/114 + 8*q**3/57 - 404*q. Find p such that g(p) = 0.
0, 8
Let q(n) be the first derivative of -1/12*n**4 - 2/9*n**3 - 4 + 0*n + 0*n**2. Solve q(p) = 0 for p.
-2, 0
Let p(b) be the third derivative of 11*b**2 + 1/15*b**5 + 0*b - 1/2*b**4 + 0 + 0*b**3. Factor p(m).
4*m*(m - 3)
Let g(y) be the third derivative of y**7/840 + y**6/120 + y**5/120 - y**4/24 - y**3/8 + 78*y**2. Let g(f) = 0. Calculate f.
-3, -1, 1
Let q(k) = -16*k**4 - 36*k**3 + 34*k**2 + 66*k - 144. Let l(y) = y**4 + y**3 - 2. Let h(w) = 36*l(w) + 2*q(w). Factor h(i).
4*(i - 5)*(i - 3)**2*(i + 2)
Let x = -14 - -17. Suppose -3*t - 12 = -3*c, -15 + 3 = -5*t - x*c. Let 6/7*l + 9/7*l**2 + t + 3/7*l**3 = 0. Calculate l.
-2, -1, 0
Let w = 61/1680 + -3/112. Let k(y) be the third derivative of 0*y**3 + 2*y**2 + w*y**6 + 0 + 0*y + 1/42*y**5 + 1/84*y**4. Factor k(m).
2*m*(m + 1)*(4*m + 1)/7
Let k(w) = w**3 - w**2 - 7*w + 12. Let r be k(2). Let j(n) be the second derivative of -1/3*n**r + 0 + n + 0*n**3 + 1/18*n**4. Factor j(c).
2*(c - 1)*(c + 1)/3
Let v(u) be the first derivative of -3*u - 13/4*u**3 + 3*u**4 - 7 - 27/40*u**5 + 3/2*u**2. Let l(d) be the first derivative of v(d). What is x in l(x) = 0?
1/3, 2
Factor 19/4*z + 1/4*z**2 + 9/2.
(z + 1)*(z + 18)/4
Suppose -10*q - 126 = 4*q. Let f be q + 10 + -4 + 7. Solve 0 - 3/4*u**2 + 1/4*u**5 + 3/4*u**f - 1/2*u + 1/4*u*