lve t(a) = 0 for a.
-1, 2, 22
Let q(i) = 4*i**2 + 154*i + 4. Let s(n) = 9*n**2 + 308*n + 10. Let g(y) = 5*q(y) - 2*s(y). Factor g(w).
2*w*(w + 77)
Let t = -5391/143 + 496/13. Suppose 0*o**3 - t*o**4 + 5/11*o**2 - 2/11*o**5 + 2/11*o + 0 = 0. What is o?
-2, -1, -1/2, 0, 1
Let k = -7/96 + 611/480. Let f(d) = d**3 + 2*d**2 - 1. Let w be f(-1). Find c, given that w - k*c + 3/5*c**2 = 0.
0, 2
Suppose 16*u - 23*u = -14. Let r(x) be the first derivative of 0*x**u - 4 - 1/9*x**3 + 0*x + 1/15*x**5 + 1/12*x**4 - 1/18*x**6. Find g, given that r(g) = 0.
-1, 0, 1
Let j(m) be the second derivative of 0 + 2*m + 1/10*m**5 - m**3 + 0*m**4 + 2*m**2. Factor j(f).
2*(f - 1)**2*(f + 2)
Let 0*s + 2/7*s**5 + 0*s**4 - 2*s**3 + 0 - 12/7*s**2 = 0. What is s?
-2, -1, 0, 3
Let x(w) be the third derivative of 0*w + 21*w**2 + 1/18*w**3 - 1/72*w**4 - 1/1008*w**8 - 1/90*w**5 + 1/180*w**6 + 1/630*w**7 + 0. Factor x(a).
-(a - 1)**3*(a + 1)**2/3
Suppose 10 = -3*q + 5*o, 0 + 16 = -4*o. Let r be ((-9)/(-15))/((-2)/q). Solve -4 + 0 - r*v**2 + 4 = 0 for v.
0
Let u = 33 - 21. Suppose 2 = z, 0 = 5*c - 5*z + 4*z - 8. Find k such that 8*k - 12*k**2 - u*k**c + 17*k**3 + 10*k**3 - 9*k**3 = 0.
0, 2/3
Let m(o) be the third derivative of -o**8/20160 - o**7/1680 - o**6/360 - 29*o**5/60 + 14*o**2. Let u(q) be the third derivative of m(q). What is a in u(a) = 0?
-2, -1
Let r(g) = -g**3 + 10*g**2 - 8*g - 5. Let b be r(9). Suppose -f + 6*f + b*m = -16, f + 20 = -5*m. Solve 7*p**2 + 0 - 4*p**2 + f = 0.
0
Let k be 8 - 365/219*24/5. Factor 2/3*c**4 + k*c + 2/3*c**5 - 2/3*c**2 - 2/3*c**3 + 0.
2*c**2*(c - 1)*(c + 1)**2/3
Let h(r) = -20*r + 1. Let w be h(-3). Let o be w + -3 + -1 - 3. Factor -14*k**2 + 2*k**3 + 6*k**2 + 54*k - 2*k**2 - 8*k**2 - o.
2*(k - 3)**3
Suppose 18*c**5 + 69*c**4 + 11*c**5 - 60*c**5 + 19*c**5 + 120*c**2 + 183*c**3 + 18*c**5 = 0. Calculate c.
-8, -5/2, -1, 0
Let y be (-1 - -1)/2 + 88/44. Let d(v) be the second derivative of y*v**2 - v**3 + 1/6*v**4 - 5*v + 0. Let d(r) = 0. What is r?
1, 2
Let -40/7 + 1/7*x**4 + 5/7*x**3 + 76/7*x - 6*x**2 = 0. What is x?
-10, 1, 2
Let r(h) = h**2 + h - 1. Let j(x) = 2*x**2 + 8*x + 21. Let o(d) = -j(d) + 3*r(d). Find c such that o(c) = 0.
-3, 8
Let t(o) be the first derivative of -o**3/12 + 3*o**2/2 - 5*o - 485. Factor t(b).
-(b - 10)*(b - 2)/4
Let i(v) be the second derivative of v**5/60 + 19*v**4/12 + 361*v**3/6 + 6859*v**2/6 + 174*v + 1. Factor i(b).
(b + 19)**3/3
Solve 313*j**5 + 10*j**3 + 15*j**4 + 324*j**5 - 632*j**5 = 0 for j.
-2, -1, 0
Suppose -33*z - 43*z + 114*z = 23*z. Let k be (-2)/15*(-4 + -1). Determine w, given that -2*w**4 + 2*w**2 + 4/3*w - 2/3*w**5 + z - k*w**3 = 0.
-2, -1, 0, 1
Let d(i) be the second derivative of i**5/90 - i**4/27 - 7*i**3/27 - 4*i**2/9 + 150*i. Factor d(x).
2*(x - 4)*(x + 1)**2/9
Let -8*q**2 - 162*q - 2187*q**3 - 28*q**2 + 2185*q**3 = 0. What is q?
-9, 0
Suppose 0 = s + 3*q - 9, -26 = -5*s - 4*q - 3. Determine b so that -22/7*b**s + 76/7*b**2 - 16/7 - 8/7*b - 30/7*b**4 = 0.
-2, -2/5, 2/3, 1
Let p(a) = 14*a**4 + 68*a**3 + 94*a**2 + 30*a - 2. Let q(t) = 15*t**4 + 68*t**3 + 97*t**2 + 29*t - 3. Let g(l) = 3*p(l) - 2*q(l). Factor g(w).
4*w*(w + 1)*(w + 4)*(3*w + 2)
Let l(k) = -k**5 - k**3 + k**2 + k + 1. Let n(u) = -5*u**5 + 3*u**3 + u**2 + u + 1. Let a be -1*(3 + -4 + 0). Let i(p) = a*n(p) - l(p). Solve i(h) = 0.
-1, 0, 1
Let n(u) be the third derivative of u**6/300 - u**5/75 - 7*u**4/20 - 6*u**3/5 + 22*u**2 - 4. Factor n(v).
2*(v - 6)*(v + 1)*(v + 3)/5
Let v(a) = -a**2 - 31*a + 140. Let i be (-2)/(32/4) + 139/(-4). Let o be v(i). Suppose 0*c + o*c**2 + 3/4*c**4 + 3/8*c**3 + 0 + 3/8*c**5 = 0. What is c?
-1, 0
Let z(v) be the third derivative of -v**7/630 + v**6/60 - v**5/60 - 5*v**4/36 - 57*v**2 + 3*v. Determine t, given that z(t) = 0.
-1, 0, 2, 5
Let y(n) = 3*n**4 + 6*n**3 - 21*n**2 + 16*n + 4. Let u(b) = -9*b**4 - 18*b**3 + 63*b**2 - 47*b - 11. Let g = -33 + 22. Let m(o) = g*y(o) - 4*u(o). Factor m(i).
3*i*(i - 1)**2*(i + 4)
Suppose -39/5*r**3 + 3/5*r**4 + 0 + 18/5*r**2 + 0*r + 6/5*r**5 = 0. What is r?
-3, 0, 1/2, 2
Determine b so that -2*b**4 + 342*b**2 - 7*b**4 - 72*b**4 - 68*b**5 - 72 + 38*b**5 + 132*b + 87*b**3 = 0.
-2, -1, 3/10, 2
Let q(w) = -w**4 + 4*w**3 - w**2 - 2*w. Let r(i) = i**4 - 4*i**3 + i + 2. Let l(a) = 3*q(a) + 2*r(a). Factor l(d).
-(d - 2)**2*(d - 1)*(d + 1)
Let f(n) = -n - 1. Let j be f(-3). Let v be 0/(-15)*(j/1)/(-2). Factor v*a**2 + 0 + 0*a + 4/7*a**3 - 2/7*a**4.
-2*a**3*(a - 2)/7
Suppose -5*i + 7*i - i**2 + 3*i - 3*i = 0. Calculate i.
0, 2
Factor -48/17*b + 8/17 - 26/17*b**2.
-2*(b + 2)*(13*b - 2)/17
Let s(x) be the first derivative of 2*x**3/3 - 25*x**2 - 530. What is q in s(q) = 0?
0, 25
Let a(h) be the third derivative of h**6/360 - h**4/24 + 3*h**3/2 - 11*h**2. Let o(b) be the first derivative of a(b). Find z such that o(z) = 0.
-1, 1
Let p(n) = n**2 - 13*n + 3. Let l(t) = -1. Let q(m) = -6*m + 12. Let v(z) = 20*l(z) + 2*q(z). Let d(k) = -4*p(k) + 3*v(k). Factor d(r).
-4*r*(r - 4)
Suppose 11 = 23*y - 35. Factor -4/5*l - 6/5*l**y - 2/5*l**3 + 0.
-2*l*(l + 1)*(l + 2)/5
Let w be 4/(-6) - 88/(-60). Let g = 115582/144465 - 2/28893. Let -1/5*n**2 - w + g*n = 0. Calculate n.
2
Suppose d - 2*d = 5*g + 4, 5*d - 5 = 0. Let t be 1 + g - ((-24)/(-20))/(-3). Factor 0 - 4/5*w + 6/5*w**2 - t*w**3.
-2*w*(w - 2)*(w - 1)/5
Let n(c) be the first derivative of -c**5/25 - 147*c**4/10 - 9604*c**3/5 - 470596*c**2/5 + 222. Factor n(t).
-t*(t + 98)**3/5
Let m(w) = 5*w - 27. Let v be m(6). Determine i, given that 6*i - 14 - 5 + v*i**2 + 11 - i**3 = 0.
-2, 1, 4
Suppose -c - 3 = -2*c. Determine a so that 2*a - 5*a - 2*a**2 + 2 + 2*a + 2*a**c - a = 0.
-1, 1
Let r(d) be the first derivative of d**5 - 235*d**4/4 + 75*d**3 + 235*d**2/2 - 230*d + 204. Let r(t) = 0. What is t?
-1, 1, 46
Suppose -15*m + 6*m - 13*m = 0. Suppose 0*z - 8*z = m. Let 0 + 3/4*n - 3/2*n**4 + z*n**3 - 3/4*n**5 + 3/2*n**2 = 0. Calculate n.
-1, 0, 1
Factor -2*p**5 + 8*p**5 + 4*p**3 - 10*p**5.
-4*p**3*(p - 1)*(p + 1)
Let t(z) be the second derivative of -z**5/160 - z**4/32 + z**2/4 - 2*z + 2. Suppose t(s) = 0. What is s?
-2, 1
Let y(n) be the second derivative of -n**7/21 - 2*n**6/15 + 7*n**5/10 - 2*n**4/3 - 26*n + 1. Determine w so that y(w) = 0.
-4, 0, 1
Let n(p) be the second derivative of p**5/50 + 11*p**4/15 + 121*p**3/15 - 32*p + 1. Factor n(g).
2*g*(g + 11)**2/5
Let z(h) = -26*h**4 + 136*h**3 - 342*h**2 + 144*h + 76. Let u(c) = -3*c**4 - c**2 + 1. Let d(a) = 4*u(a) - z(a). Determine v, given that d(v) = 0.
-2/7, 1, 3, 6
Let m(o) = -10*o**3 - 2*o**2 - 2*o - 1. Let j be m(-1). Let a be (145/j)/5 - 3. What is h in -2/9 + a*h**2 + 0*h = 0?
-1, 1
Suppose 56*r + 3 - 2*r**2 + 56 + 68 - 7 = 0. What is r?
-2, 30
Suppose n - 42 + 68 = 0. Let b = n - -28. Solve -2/3 - 31/3*g**b + 5*g + 4*g**3 = 0 for g.
1/4, 1/3, 2
Let m(k) = k + 1. Let f(y) = 5*y**3 - 30*y**2 - 5*y + 155. Let s(b) = -f(b) - 5*m(b). Factor s(t).
-5*(t - 4)**2*(t + 2)
Let w be (-7)/(-90)*-3*9/(-42). Let d(s) be the third derivative of 0*s**3 + 0 - 1/4*s**4 + 10*s**2 + 0*s - w*s**5. Suppose d(b) = 0. Calculate b.
-2, 0
Let k(j) be the second derivative of j**4/4 + 2*j**3 - 15*j**2/2 - j + 24. Let k(u) = 0. What is u?
-5, 1
Let b(n) be the third derivative of 0*n - 3/8*n**4 + 3/40*n**6 - 1/20*n**5 + 0 + 37*n**2 + 0*n**3 + 1/70*n**7. Factor b(g).
3*g*(g - 1)*(g + 1)*(g + 3)
Let j(t) be the third derivative of 0*t**3 + 0 + 0*t + 4/45*t**5 - 47*t**2 - 1/90*t**6 - 2/9*t**4. Solve j(f) = 0 for f.
0, 2
Let d = -33 + 35. Let y(m) be the first derivative of 3/2*m**d + 1/2*m**3 + 5 + 0*m. Factor y(h).
3*h*(h + 2)/2
Let j = 963/8 - 4719/40. Factor -3/5*b**2 + 0 - 7/5*b**4 - 2/5*b + j*b**3.
-b*(b - 1)**2*(7*b + 2)/5
Let z be -1*0*1/(-6). Let m(g) be the third derivative of 0*g**4 + z*g**3 - 5*g**2 + 1/300*g**6 + 1/525*g**7 + 0*g**5 + 0 + 0*g. Solve m(b) = 0 for b.
-1, 0
Let r(h) be the first derivative of -1 + 2*h - 1/18*h**3 + 1/60*h**5 + 0*h**2 + 1/36*h**4 - 1/90*h**6. Let t(b) be the first derivative of r(b). Factor t(s).
-s*(s - 1)**2*(s + 1)/3
Let i(q) be the third derivative of q**6/240 + q**5/24 - q**4/6 - 4*q**3 - 88*q**2. Factor i(a).
(a - 3)*(a + 4)**2/2
Let u(j) be the third derivative of -j**9/60480 + j**7/3360 + j**6/1440 + j**4/12 - 11*j**2. Let d(r) be the second derivative of u(r