- -10/183. Suppose 48/7*q**2 - 64/7*q - 16/7*q**3 + 2/7*q**4 + y = 0. What is q?
2
Factor 88 + 37*d - 56*d**2 - 18*d + 57*d**2.
(d + 8)*(d + 11)
Let c(b) be the second derivative of -b**7/42 + b**6/5 - 2*b**5/5 - 4*b**4/3 + 8*b**3 - 16*b**2 - 50*b. Solve c(h) = 0 for h.
-2, 2
Let d(c) = c**3 + 2*c**2 - 4*c - 5. Let q be d(-2). Suppose -6 - 12*x + 2*x - 4*x - 5*x**2 - q*x = 0. What is x?
-3, -2/5
Let g(w) be the second derivative of w**5/130 + 17*w**4/39 - 71*w**3/39 + 36*w**2/13 - w - 71. Factor g(u).
2*(u - 1)**2*(u + 36)/13
Let n(f) be the third derivative of 6*f**2 + 0 + 0*f + 1/144*f**4 + 1/72*f**5 + 1/180*f**7 + 0*f**3 + 1/80*f**6 + 1/1008*f**8. Suppose n(i) = 0. What is i?
-1, -1/2, 0
Let u(p) be the second derivative of -p**4/54 + 16*p**3/9 - 64*p**2 + 11*p - 2. Determine n so that u(n) = 0.
24
Suppose 2*n - 7 - 7 = 0. What is x in -20*x**4 + x**2 + 2*x**2 + n*x**2 + 10 - 25*x + 5*x**5 + 20*x**3 = 0?
-1, 1, 2
Let i be 16/(-32)*(-5 + (4 - -1)). Let 16/9*p**2 - 2/9*p**3 - 32/9*p + i = 0. What is p?
0, 4
Let k(c) be the first derivative of -2*c**3/15 - 18*c**2/5 + 47. Factor k(i).
-2*i*(i + 18)/5
Let l be (1843/76 - 22)*4/3. Let u(m) be the third derivative of 1/6*m**l - 1/180*m**5 - 1/36*m**4 + 0*m - 7*m**2 + 0. Factor u(t).
-(t - 1)*(t + 3)/3
Let l(w) be the first derivative of -w**5/30 + w**4/4 + 35*w**3/18 + 4*w**2 + 10*w/3 - 521. Factor l(a).
-(a - 10)*(a + 1)**2*(a + 2)/6
Let y(w) = w**3 + w + 2. Let h be y(-1). Let q be 22/12*4/6 - 1. Let -q*i**2 + h*i + 8/9 = 0. What is i?
-2, 2
Let i(n) be the first derivative of n**4/4 + 7*n**3 + 39*n**2/2 + 19*n + 249. Solve i(k) = 0.
-19, -1
Let h(y) be the second derivative of -10/9*y**2 + 1/3*y**3 - 16*y + 0 + 1/54*y**4. Factor h(d).
2*(d - 1)*(d + 10)/9
Let l be (-12)/(-8) - (38/28 - (-4)/28). Solve l + 0*v**3 - 3/2*v - 3/4*v**4 + 9/4*v**2 = 0 for v.
-2, 0, 1
Let w(p) be the first derivative of 41 + 0*p**2 + 0*p**3 - 3/20*p**5 + 0*p + 27/16*p**4. Find o, given that w(o) = 0.
0, 9
Let s(y) be the first derivative of 12/7*y**2 + 9/7*y - 3/35*y**5 + 2 + 6/7*y**3 + 0*y**4. Let s(g) = 0. What is g?
-1, 3
Let g(l) = -l**3 - 3*l**2 + 2*l + 1. Let q(r) = -r**4 + r - 1. Let n(y) = -3*g(y) + 3*q(y). Suppose n(j) = 0. What is j?
-1, 1, 2
Let n be 68*(-4)/(-32) + (3 - (4 - -6)). Solve -6*x**2 + 0 - 9/2*x - n*x**3 = 0 for x.
-3, -1, 0
Let j(y) = 6*y**4 + 16*y**3 - 24*y**2 + 6*y + 1. Let h(m) = 2*m**4 - 2*m + 1. Let l(q) = -5*h(q) + j(q). Find f, given that l(f) = 0.
1
Suppose 13*h**4 - 4*h**2 + h**4 + 12*h**3 - 510*h + h**5 + 494*h - 7*h**4 = 0. Calculate h.
-4, -2, 0, 1
Factor 157/3*y**3 - 20*y**2 + 0 + 4/3*y + 170*y**4 + 289/3*y**5.
y*(y + 1)**2*(17*y - 2)**2/3
Let d(c) = -4*c**5 - 8*c**4 - 9*c**3 - 5*c. Let i(r) = 112*r - 1 - 111*r + r**3 + 1. Let f(g) = -d(g) - 5*i(g). Let f(v) = 0. What is v?
-1, 0
Factor -51/4*n**2 - 3*n**3 - 15/4 + n**4 + 29/2*n.
(n - 5)*(n + 3)*(2*n - 1)**2/4
Suppose 12*s - 24467*s**2 + 3*s + 3*s**3 + 24485*s**2 = 0. What is s?
-5, -1, 0
Solve 8/7*v - 2/7*v**4 - 10/7 + 12/7*v**2 - 8/7*v**3 = 0.
-5, -1, 1
Let d be ((-2)/(-8))/(((-420)/96)/(-5)). Let b(m) be the first derivative of 7 - 2/21*m**3 + d*m - 1/7*m**2 + 1/14*m**4. Find i, given that b(i) = 0.
-1, 1
Factor -16*f**2 + 36*f**3 + 317 + 4*f**5 - 20*f**4 - 12*f**2 + 8*f - 317.
4*f*(f - 2)*(f - 1)**3
Let i(z) be the third derivative of z**8/448 - 17*z**7/560 + 41*z**6/320 - 29*z**5/160 - 7*z**4/64 + 5*z**3/8 - 57*z**2. Suppose i(s) = 0. What is s?
-1/2, 1, 2, 5
Find l, given that -35/2*l**3 - 325/2*l**2 + 50 + 130*l = 0.
-10, -2/7, 1
Determine o, given that -o**2 + 31*o**2 - 9*o**2 - 3 + 29*o**2 + 27*o**3 + 36*o + 5*o**4 + 11 = 0.
-2, -1, -2/5
Let r(f) be the third derivative of -f**7/840 + f**6/240 - f**5/240 + 16*f**2. Find v, given that r(v) = 0.
0, 1
Let i(q) be the first derivative of -3*q**4/4 + 7*q**3/3 - 5*q**2/2 + q - 155. Factor i(z).
-(z - 1)**2*(3*z - 1)
Let c(k) = -36*k**4 + 210*k**3 - 147*k**2 - 378*k - 15. Let m(g) = -5*g**4 + 30*g**3 - 21*g**2 - 54*g - 2. Let j(h) = 2*c(h) - 15*m(h). Solve j(x) = 0 for x.
-1, 0, 2, 9
Let v = -46 + 48. Factor 4*f**v - 24*f + 17 - 5 + 4 + 16.
4*(f - 4)*(f - 2)
Let -137*z**4 - 133*z**4 - 137*z**4 - 16*z**3 + 409*z**4 + 24*z**2 = 0. What is z?
0, 2, 6
Let t = 227 + -227. Solve 0 + 1/5*u**2 + t*u - 1/5*u**3 = 0.
0, 1
Let j(u) be the second derivative of -u**7/14 + 3*u**6/10 - 3*u**5/10 - 2*u + 48. Factor j(z).
-3*z**3*(z - 2)*(z - 1)
Suppose 3*j - 2 = -2*o + 14, -o + 13 = 4*j. Let 1610 - 68*w**j - 33*w - 1596 - 7*w**3 + 14*w**2 = 0. Calculate w.
-7, -1, 2/7
Let z(o) be the second derivative of 0*o**2 + 0 - 1/40*o**5 + 0*o**4 + 0*o**3 - 7*o. What is u in z(u) = 0?
0
Let f be (2 - -6 - 4) + -4. Let h(i) be the second derivative of 8*i + 1/6*i**4 + f*i**2 + 1/11*i**3 - 2/55*i**5 + 0. Factor h(m).
-2*m*(m - 3)*(4*m + 1)/11
Let i(r) be the first derivative of r**4/16 + 7*r**3/12 + 5*r**2/4 - 943. Suppose i(o) = 0. Calculate o.
-5, -2, 0
Let j be (-4)/(-15)*((-585)/60)/(-13). Factor 1/5*p - j*p**2 + 2/5.
-(p - 2)*(p + 1)/5
Let m(g) be the first derivative of g**3 + 4 + 6/5*g**5 + 0*g + 3*g**2 - 15/4*g**4. Factor m(s).
3*s*(s - 2)*(s - 1)*(2*s + 1)
Let y be 1 - (-1 + -2 + -3). Suppose y*p = 5*p + 8. Factor -10*v**4 - 8*v**p + 18*v**3 - 12 - 39*v**2 + 36*v + 15*v**4.
-3*(v - 2)**2*(v - 1)**2
Let w(x) be the third derivative of x**6/90 + 11*x**5/45 - 835*x**2. Solve w(k) = 0.
-11, 0
Let d(t) be the first derivative of -t**3/12 - 17*t**2/8 + 111. Find z such that d(z) = 0.
-17, 0
Suppose 2*w + 12 = 4*x + 40, x = -5*w + 15. Suppose -45*j**5 + 2*j**4 - 8*j**4 + 5 - 5*j**4 + 10*j**2 + 70*j**3 - 25*j - 4*j**w = 0. What is j?
-1, 1/3, 1
Let b be ((-4)/48)/(3/9). Let u = b + 7/12. Factor -u*t**2 + 0*t + 0 - 1/3*t**3.
-t**2*(t + 1)/3
Let t(m) be the third derivative of m**6/120 - m**5/30 - m**4/24 + m**3/3 + 20*m**2 + 6*m. Factor t(y).
(y - 2)*(y - 1)*(y + 1)
Suppose 2/7*w**2 + 0 + 8/7*w**3 + 2/7*w**4 - 12/7*w = 0. What is w?
-3, -2, 0, 1
Let j(s) be the second derivative of 5*s**4/12 - 20*s**3/3 - 45*s**2/2 + 266*s. Factor j(o).
5*(o - 9)*(o + 1)
Let n(h) be the first derivative of 0*h - 13 - 1/14*h**2 + 0*h**5 - 1/42*h**6 + 1/14*h**4 + 0*h**3. Determine k, given that n(k) = 0.
-1, 0, 1
Let o be (22 - 8)*(45/14)/15. Determine v so that 4/5*v**2 + 0 - 2/5*v**o - 2/5*v = 0.
0, 1
Let y(v) be the second derivative of 9*v**6/2 + 153*v**5/10 + 20*v**4 + 13*v**3 + 9*v**2/2 - 44*v + 3. What is n in y(n) = 0?
-1, -3/5, -1/3
Let j = -37 + 44. Suppose -3*q - 16 = -j*q. Suppose -1/3*i**q + 0*i**2 + 1/3 + 2/3*i**3 - 2/3*i = 0. What is i?
-1, 1
Let i(m) be the first derivative of -m**5/5 + 4*m**4/3 + 4*m + 49. Let s(b) be the first derivative of i(b). Determine c, given that s(c) = 0.
0, 4
Let w(g) be the first derivative of g**6/30 - 9*g**4/20 - 4*g**3/15 + 6*g**2/5 - 44. Factor w(d).
d*(d - 3)*(d - 1)*(d + 2)**2/5
Let r(u) be the third derivative of u**5/60 + 4*u**4/3 + 128*u**3/3 + 2*u**2 + 1. Let r(l) = 0. What is l?
-16
Let v be 10/14*(-4 - (95/(-20) + -1)). Solve 15/4*b**2 + v*b - 5/4*b**3 - 15/4 = 0.
-1, 1, 3
Let i be (-96)/384*16/(-7). Let z(s) be the first derivative of -s**2 + i*s - 6 + 10/21*s**3. Solve z(q) = 0 for q.
2/5, 1
Let o(q) be the second derivative of -5*q**4/18 - 134*q**3/9 + 9*q**2 - 550*q. Suppose o(m) = 0. What is m?
-27, 1/5
Let x(t) be the third derivative of 7*t**6/120 + 3*t**5/20 - t**4/8 - t**3/3 + 14*t**2. Let d(l) be the first derivative of x(l). Factor d(a).
3*(a + 1)*(7*a - 1)
Let s(o) = -9*o**4 + 36*o**3 - 35*o**2 + 4*o. Let u(d) = -80*d**4 + 325*d**3 - 315*d**2 + 35*d. Let x(l) = -35*s(l) + 4*u(l). Find p such that x(p) = 0.
0, 1, 7
Suppose -5*c - 34 = 2*m, -3*m + 1 = c - 0*m. Let n be 279/6 + (-12)/c. Determine z so that -n + 0*z - 9*z**3 - 3*z**3 + 43*z + 3*z**4 + 5*z = 0.
-2, 2
Solve 0*r + 0 + 0*r**2 - 7/4*r**4 - 3/2*r**3 - 1/4*r**5 = 0 for r.
-6, -1, 0
Let x be ((-7)/56)/((-14)/224). Factor 0 + 2/9*d**x + 2/3*d.
2*d*(d + 3)/9
Let g(m) be the third derivative of -m**5/12 + 245*m**4/24 - 17*m**2 + 2*m. Factor g(q).
-5*q*(q - 49)
Suppose -176 = -4*t - 5*k, 0*t + t - 69 = 5*k. Let n = -49 + t. Factor 0 - 2/3*g**5 - 2/3*g**4 + 2/3*g**3 + n*g + 2/3*g**2.
-2*g**2*(g - 1)*(g + 1)**2/3
Factor -5*k**3 + 10*k + 4*k**3 + 18*k**2 - 83*k**2 - 70*k - 4*k**3.
-5*k*(k + 1)*(k + 12)
Le