 + 2)/4
Let h(j) be the third derivative of 15*j**2 + 0 - 1/9*j**3 - 1/24*j**4 - 1/180*j**5 + 0*j. What is l in h(l) = 0?
-2, -1
Let u(l) be the second derivative of l**5/210 + l**4/84 + 15*l**2/2 + l. Let m(i) be the first derivative of u(i). Solve m(n) = 0 for n.
-1, 0
Find n such that 2*n - 14/3*n**3 - 8/3*n**2 + 0 = 0.
-1, 0, 3/7
Let w be ((-308)/462)/(4/(-3)). Let q = 1 - -1. Factor 3/4*u**q + 2*u - 1/4*u**4 + 1 - w*u**3.
-(u - 2)*(u + 1)**2*(u + 2)/4
Let s be (2/(-3))/(112/(-15096)). Let c = 90 - s. Solve 4/7 + c*g**2 - 4/7*g = 0 for g.
2
Let o be ((-24)/(-18))/(28/105) - 2. Let r(v) be the second derivative of 0 - 4/15*v**o + 11*v + 4/15*v**4 + 3/50*v**5 + 0*v**2 - 3/25*v**6. Solve r(z) = 0.
-1, 0, 2/3
Let u(j) = -j**5 + j + 2. Let y(g) = 6*g**5 - 41*g**4 + 122*g**3 - 124*g**2 + 22*g - 4. Let x(w) = 2*u(w) + y(w). Find l, given that x(l) = 0.
0, 1/4, 2, 6
Let g be ((-382)/(-22729))/(1/21). Factor 2/17*a**2 + g*a + 4/17.
2*(a + 1)*(a + 2)/17
Factor 39*l + 351*l - 70 + 30*l**3 - 15*l + 265*l**2.
5*(l + 2)*(l + 7)*(6*l - 1)
Suppose -2*k = l - 3, 4*l + 3*k - 16 - 1 = 0. Suppose -5*p**3 - 4*p**4 + 5*p**2 - 19*p**5 - p**4 + 24*p**l = 0. What is p?
-1, 0, 1
Factor -99 - 2395*q**2 - 18*q + 2394*q**2 - 2*q.
-(q + 9)*(q + 11)
Let z be ((-9)/(-135))/(24/10). Let i(s) be the second derivative of z*s**4 + 0*s**2 - 1/9*s**3 + 0 + 2*s. Suppose i(m) = 0. What is m?
0, 2
Let h(a) = -a**2 - 9*a - 1. Let n be h(-8). Suppose 4*y - 5 = -g, -5*g + 0 = 4*y + n. Factor -d**2 - 12*d**5 - 3*d**4 + 4*d**2 + d**3 - y*d + 13*d**5.
d*(d - 2)*(d - 1)**2*(d + 1)
Suppose 2*l + 5*o + 13 = 0, 5*l - 2*o + 4*o + 1 = 0. Suppose -6*j + 8*j = 152. Factor -l - 71*g + j*g + g**2 + 5.
(g + 1)*(g + 4)
Let q(u) be the second derivative of 2*u**6/15 + 3*u**5/10 - 11*u**4/6 - 2*u**3 + 39*u + 2. Factor q(w).
2*w*(w - 2)*(w + 3)*(2*w + 1)
Let l(a) be the second derivative of 0 - 7*a - 1/5*a**2 + 1/30*a**4 + 0*a**3. Let l(m) = 0. Calculate m.
-1, 1
Factor 32/3*f + 0 + 16/3*f**2 + 2/3*f**3.
2*f*(f + 4)**2/3
Let f(r) be the third derivative of -r**8/1176 - 2*r**7/147 - 3*r**6/140 - r**2 - 1. Suppose f(v) = 0. What is v?
-9, -1, 0
Let k(i) = -i - 3. Let s be k(-8). Let -7*u**5 - u - 2*u**2 + 2*u**4 + 20*u**5 - 12*u**s = 0. What is u?
-1, 0, 1
Let u(h) = 3*h**4 + 5*h**3 - 18*h**2 + 14*h - 9. Let f(j) = 5*j**4 + 7*j**3 - 27*j**2 + 21*j - 14. Let c(y) = -5*f(y) + 8*u(y). Solve c(s) = 0.
1, 2
Let y(u) be the third derivative of u**6/120 - 14*u**5/15 + 53*u**4/24 + 55*u**3/3 + 59*u**2. Let y(s) = 0. What is s?
-1, 2, 55
Let l(o) be the third derivative of -22*o**2 + 0 + 0*o - 10/3*o**3 + 1/12*o**5 + 0*o**4. Determine y so that l(y) = 0.
-2, 2
Suppose 0 = g + p - 6 - 2, -g - 5*p + 28 = 0. Factor -3 + g*q**2 - 2*q**2 + 3 - 1.
(q - 1)*(q + 1)
Suppose 8217*o + 70 = 8231*o. Let h(n) be the third derivative of 2/3*n**3 + 0 - 11*n**2 + 1/12*n**4 + 1/240*n**o + 0*n. Factor h(k).
(k + 4)**2/4
Let o(r) = r**3 - 7*r + 13. Let s be o(3). Factor -12*a**2 + 4*a**4 - 40 - 41*a - 8*a + 16*a**3 + 4*a**3 - s*a.
4*(a - 2)*(a + 1)**2*(a + 5)
Let b(r) be the third derivative of -r**8/336 + r**7/70 - r**6/60 + 68*r**2. Suppose b(z) = 0. Calculate z.
0, 1, 2
Let y(r) be the third derivative of r**9/80640 - r**8/6720 + r**7/2240 - r**5/10 + 10*r**2. Let t(o) be the third derivative of y(o). Find c such that t(c) = 0.
0, 1, 3
Factor -1/3*q**2 + 7/3*q - 2.
-(q - 6)*(q - 1)/3
Suppose 4*b = -21*b + 50. Factor 1/5*k**b + 3/10*k**3 + 0 - 1/10*k.
k*(k + 1)*(3*k - 1)/10
Factor -16/3 - 52/3*u**2 + 65/3*u + u**3.
(u - 16)*(u - 1)*(3*u - 1)/3
Let y = -2122 - -6376/3. Factor 25/6*z + 5/6*z**2 + y.
5*(z + 1)*(z + 4)/6
Let g(q) be the second derivative of -16*q - 1/10*q**5 - 1/24*q**4 + 0 + 1/2*q**2 + 1/168*q**7 + 7/24*q**3 - 1/60*q**6. Find w, given that g(w) = 0.
-1, 1, 4
Let y = -6311/2 + 3156. Factor 0*a**3 + 1/2*a**2 + 0*a - y*a**4 + 0.
-a**2*(a - 1)*(a + 1)/2
Let p = 15/76 + -431/2280. Let n(t) be the third derivative of -2*t**2 + 1/105*t**7 + 0 + 0*t + 0*t**4 + p*t**6 + 0*t**5 + 0*t**3. Let n(g) = 0. Calculate g.
-1/2, 0
Suppose 0 = 2*f - 4*x + 12, -5*f + 25 = 4*x - 1. Let o be 0 + f*37/2. What is h in 63*h - 31*h + 5*h**3 + 10 - o*h - 10*h**2 = 0?
-1, 1, 2
Let o be (-4)/10*5 - 2/(-1). Let z(a) be the third derivative of 9/8*a**4 - a**3 + o + 5*a**2 + 3/40*a**6 - 1/2*a**5 + 0*a. Factor z(v).
3*(v - 2)*(v - 1)*(3*v - 1)
Determine w, given that 100 - 5*w**2 + 124*w - 9*w - 20*w = 0.
-1, 20
Suppose 135*z - 140*z + 10 = 0. Factor -33 - 3*q + 16 - 2*q**z + 16.
-(q + 1)*(2*q + 1)
Factor f**4 - 2 + 4*f**3 - 8*f**3 + 3*f + f**2 + f**3.
(f - 2)*(f - 1)**2*(f + 1)
Let w(f) = 4*f**2 - f - 3. Let d be w(-3). Let i be ((-4)/d)/(4/(-24)*1). Suppose -2/3*v**5 + i*v + 0 + 0*v**3 - 4/3*v**2 + 4/3*v**4 = 0. Calculate v.
-1, 0, 1
Let -8*b**2 - 110/7*b**3 + 0 + 968/7*b**4 + 8/7*b = 0. What is b?
-1/4, 0, 2/11
Let n(w) be the first derivative of 5*w**3/12 - 15*w**2/4 + 10*w - 484. Find o such that n(o) = 0.
2, 4
Let n(u) be the third derivative of 12*u**2 + 7/360*u**6 + 29/90*u**5 + 0 + 16/9*u**4 + 0*u + 16/9*u**3. Find a such that n(a) = 0.
-4, -2/7
Suppose 0 = -5*a + 12 + 8. Factor 2*q + 13*q**3 + 2*q**3 + a*q + 21*q**2.
3*q*(q + 1)*(5*q + 2)
Let t = 19214/1505 - -10/301. Solve -57/5*b**4 - 9/5*b**5 - 127/5*b**3 - 12/5 - 131/5*b**2 - t*b = 0.
-3, -1, -2/3
Let b(f) be the first derivative of -f**3/7 - 3*f**2/7 - 3*f/7 + 12. Suppose b(z) = 0. Calculate z.
-1
Let c be (-47)/(-52) - (-32)/(-208). Let n be 4/(-16) + 0 - -1. Let 0*t + n*t**3 + 0 - c*t**2 = 0. What is t?
0, 1
Let s = -7221 + 4758641/659. Let z = s + 1288/9885. What is k in 2/5 + 2/3*k + 2/15*k**2 - z*k**3 = 0?
-1, 3
Let o(c) = -13*c**2 - 9*c + 4. Let h(d) = d**2 + d. Suppose 0 = -2*f + 11 + 33. Let v(m) = f*h(m) + 2*o(m). Find t such that v(t) = 0.
-1, 2
Let v(t) be the first derivative of 0*t - 5 - 1/10*t**5 - 1/8*t**4 + 0*t**2 + 0*t**3. Factor v(f).
-f**3*(f + 1)/2
Let x(l) be the second derivative of 5*l**7/84 - 13*l**6/12 + 35*l**5/8 + 245*l**4/24 - 162*l. Determine m so that x(m) = 0.
-1, 0, 7
Suppose 8/9*l**4 + 4/3*l**2 + 2*l**3 + 0 + 2/9*l = 0. Calculate l.
-1, -1/4, 0
Suppose 0 = 5*g, p - 28 = -3*p + 2*g. What is r in 5*r**3 + p*r**2 + 0*r**3 - r + 3*r**2 + 6*r = 0?
-1, 0
Let h(o) be the third derivative of o**8/20160 + o**7/5040 + 13*o**5/60 + 10*o**2. Let q(l) be the third derivative of h(l). Suppose q(x) = 0. What is x?
-1, 0
Let g(n) be the third derivative of -3*n**6/5 - 41*n**5/5 + 11*n**4/3 + 14*n**3/3 + 105*n**2. Factor g(h).
-4*(h + 7)*(3*h - 1)*(6*h + 1)
Let r = -71 - -125. Let g = -52 + r. Factor 2/13*f**g + 4/13*f + 0.
2*f*(f + 2)/13
Let r(w) be the first derivative of -6/95*w**5 + 0*w - 5/38*w**4 - 2/57*w**3 + 0*w**2 - 34 + 3/19*w**6. Factor r(u).
2*u**2*(u - 1)*(3*u + 1)**2/19
Suppose -7*r - 46 = -5*r. Let l = -137/6 - r. Determine v, given that -1/6*v**3 + 0 - l*v**4 + 1/6*v**2 + 1/6*v = 0.
-1, 0, 1
Determine m so that -48*m - 3*m**3 - 21*m**2 + 0*m**3 + 1 - 37 = 0.
-3, -2
Let i(p) be the second derivative of p**5/25 + 14*p**4/5 + 538*p. Let i(j) = 0. Calculate j.
-42, 0
Let n(z) be the first derivative of -z**4/16 + 7*z**3/24 + 17*z**2/16 - 5*z/4 + 266. Determine m, given that n(m) = 0.
-2, 1/2, 5
Let o(b) = -3*b**2 - 4*b. Let g(k) = 11*k + 70. Let t be g(-6). Let i(y) = -y**2 - 13 + 13 - y. Let n(x) = t*i(x) - o(x). Suppose n(f) = 0. What is f?
0
Let t(i) be the first derivative of i**5/70 - i**3/21 + 2*i - 9. Let v(q) be the first derivative of t(q). Let v(r) = 0. Calculate r.
-1, 0, 1
Suppose 4*v - 435 = -5*r, -6*v = -v + 5*r - 545. Let j = v + -106. Factor 1/4*t**5 + 1/4*t**j - 3/4*t**3 + 1/2*t + 0 - 1/4*t**2.
t*(t - 1)**2*(t + 1)*(t + 2)/4
What is k in 15*k**3 + 3/2*k**4 - 135/2 + 9*k + 42*k**2 = 0?
-5, -3, 1
Let n(d) be the second derivative of 1/18*d**4 + 0*d**2 + 9*d + 0 + 2/9*d**3. Find z such that n(z) = 0.
-2, 0
Let k be -3 - (-21)/(-9)*-3. Factor k*n**2 - 148*n + 148*n.
4*n**2
Let h(b) = -b**3 + 4*b**2 - b - 4. Let j = 4 + -1. Let a be h(j). Factor n + 0*n - 3*n**2 + 2*n**a + 1 - 3*n + 2*n**3.
(n - 1)*(n + 1)*(2*n - 1)
Factor 238/9*o - 28/3*o**2 - 52/3 + 2/9*o**3.
2*(o - 39)*(o - 2)*(o - 1)/9
Let c(k) be the first derivative of -3/2*k**4 - 26 + 6*k + 11*k**2 + 10/3*k**3. Find h such that c(h) = 0.
-1, -1/3, 3
Let k be ((-38)/(-8) - -3) + 2/8.