 18*b**4 - 22*b**3 + 7*b**2 + 5. Let p(r) = -12*r**5 + 72*r**4 - 87*r**3 + 27*r**2 + 21. Let n(l) = 21*j(l) - 5*p(l). Factor n(c).
-3*c**2*(c - 4)*(c - 1)**2
Let f(z) = 4*z**4 + 16*z**3 + 4*z**2 - 16*z + 8. Let w(a) = -a - 1. Let g(v) = -f(v) - 8*w(v). Find h, given that g(h) = 0.
-3, -2, 0, 1
Let v(k) be the third derivative of -k**8/2800 - k**7/700 + k**5/100 + k**4/40 + 2*k**3 + 6*k**2. Let q(h) be the first derivative of v(h). Factor q(u).
-3*(u - 1)*(u + 1)**3/5
Let j be (-24)/9*(-3)/4. Suppose 22*d**5 + d**4 - 2*d**4 - 3*d**3 + 2*d + d**j - 21*d**5 = 0. What is d?
-1, 0, 1, 2
Find o, given that 96*o**2 + 2*o + 10*o**3 - 5*o**5 - 7*o - 96*o**2 = 0.
-1, 0, 1
Let z = -197 - -200. Let i(u) be the second derivative of -5*u + 0*u**z + 0*u**2 - 1/40*u**5 - 1/24*u**4 + 0. Find t, given that i(t) = 0.
-1, 0
Let l(k) be the third derivative of -k**6/75 - 23*k**5/150 + 113*k**4/30 - 11*k**3/3 + k**2 - 4. Find o, given that l(o) = 0.
-11, 1/4, 5
Let h(b) be the third derivative of -2*b**7/105 + b**6/6 - 3*b**5/5 + 7*b**4/6 - 4*b**3/3 + 5*b**2. Factor h(y).
-4*(y - 2)*(y - 1)**3
Factor 2/3*s**3 - 4/3 - 8/3*s - s**2 + 1/3*s**4.
(s - 2)*(s + 1)**2*(s + 2)/3
Let s(r) be the first derivative of -r**7/42 + r**6/30 + 5*r - 14. Let z(w) be the first derivative of s(w). Suppose z(h) = 0. Calculate h.
0, 1
Let j(d) be the first derivative of d**6/6 - 18*d**5/5 - 6*d**4 + 98*d**3/3 - 57*d**2/2 + 568. Factor j(b).
b*(b - 19)*(b - 1)**2*(b + 3)
Let d be (0 - -2) + 20/(-60). Determine q, given that -1/3*q**5 + 0 - 3*q**3 - d*q**4 - 2/3*q - 7/3*q**2 = 0.
-2, -1, 0
Let x(b) = b**3 - 7*b**2 - 11*b + 6. Let w be x(8). Let l be 51/18 - 3/w. Solve -2*p**3 + l*p**3 + 25*p - 2 - 28*p = 0 for p.
-1, 2
Suppose 27*r - 23*r + 16 = 0. Let n be r + (3 - 3) - -8. Suppose -u**3 - 2*u**n + u**3 + 0*u**4 = 0. What is u?
0
Let u be 20/6 - (-5 - 32/(-6)). Let 18*j**2 - 8*j**2 + 10*j**2 + 40*j**u + 25*j**4 + 5*j**5 = 0. Calculate j.
-2, -1, 0
Suppose r - 7 = -g, -43*g - 27 = -r - 48*g. Let j(k) be the first derivative of -r*k + 0*k**3 - 3/2*k**2 + 1/4*k**4 + 2. Let j(v) = 0. Calculate v.
-1, 2
Factor 2 + 16/7*d + 2/7*d**2.
2*(d + 1)*(d + 7)/7
Let g(m) = -45 + m + 23 + 21. Let a(w) = -4*w**3 + 3*w**2 + 3*w + 8. Let h(n) = -a(n) - 6*g(n). Find s, given that h(s) = 0.
-1, -1/4, 2
Let j(k) be the first derivative of 1/12*k**4 + 0*k**3 + 12 - 1/6*k**2 + 1/6*k - 1/30*k**5. Factor j(t).
-(t - 1)**3*(t + 1)/6
Let y be (-59)/(-32) + (-5 - 0) + 3. Let d = y - -89/160. Solve 0*b + 0 + 2/5*b**4 + 2/5*b**3 - d*b**2 - 2/5*b**5 = 0.
-1, 0, 1
Let 0 - 12*c - 1/2*c**2 = 0. Calculate c.
-24, 0
Let n = -55 + 81. Let 200*u**3 - 104*u**3 - 114*u**3 - 4 - 48*u**2 - n*u = 0. Calculate u.
-2, -1/3
Let 0*v - 2/3*v**4 + 0 - 8/3*v**2 + 8/3*v**3 = 0. Calculate v.
0, 2
Let w = 108 + -247. Let c = w + 139. Determine x so that -1/2*x + 0*x**2 + 1/2*x**3 + c = 0.
-1, 0, 1
Let i = -297/7 - -898/21. Let r(y) be the first derivative of 3 - 1/2*y**2 + i*y**3 + 0*y. Factor r(m).
m*(m - 1)
Suppose 0 = -0*i + i - 2*c + 8, 0 = -4*i + 2*c - 2. Determine r, given that -20*r - 1 + 1 - 142*r**i + 147*r**2 = 0.
0, 4
Let z(s) be the third derivative of 0*s - 2/21*s**7 + 1/5*s**6 + 0 + 2/15*s**5 - 7/6*s**4 + 2*s**3 - 37*s**2 + 1/84*s**8. Factor z(f).
4*(f - 3)*(f - 1)**3*(f + 1)
Let k(o) be the third derivative of -o**5/120 - o**4/16 + 5*o**3/6 + o**2 - 17. Factor k(d).
-(d - 2)*(d + 5)/2
Let y(x) be the first derivative of -3*x**5/25 - 12*x**4/5 - 96*x**3/5 - 384*x**2/5 - 768*x/5 + 24. Suppose y(s) = 0. What is s?
-4
Let q be 8/(-20)*40/(-48). Let h(u) be the first derivative of 0*u + 4 + 2/3*u**3 + 1/2*u**4 + 2/15*u**5 + q*u**2. Factor h(m).
2*m*(m + 1)**3/3
Let g(l) = -6*l**2 + 110*l - 112. Let t(w) = -13*w**2 + 220*w - 225. Let o(k) = -9*g(k) + 4*t(k). What is a in o(a) = 0?
1, 54
Let g = -193 + 89. Let h = -104 - g. Let 3/2*x - 1 + h*x**2 - 1/2*x**3 = 0. What is x?
-2, 1
Let d(a) be the second derivative of a**4/36 - 35*a**3/18 - 37*a**2/3 + 3*a + 101. Suppose d(l) = 0. Calculate l.
-2, 37
Let i be (-58)/(-15) - (-54)/(-45) - 2. Find r, given that i*r + 0*r**2 - 2/3*r**3 + 0 = 0.
-1, 0, 1
Let d(r) be the second derivative of r**7/21 + 16*r**6/15 + 32*r**5/5 + 482*r. What is p in d(p) = 0?
-8, 0
Let f(k) = 3*k**2 - 2*k. Let j be (-6)/9 + (-25)/(-15). Let q(s) = -s**2. Let b(n) = j*f(n) + 5*q(n). Factor b(a).
-2*a*(a + 1)
Let x(w) be the second derivative of w**8/336 - w**7/210 - 9*w**2/2 - 5*w. Let y(g) be the first derivative of x(g). Solve y(z) = 0 for z.
0, 1
Factor 80/3 - 316/3*w - 16/3*w**2.
-4*(w + 20)*(4*w - 1)/3
Let g(w) be the second derivative of w**5/170 - 4*w**3/51 - 55*w + 4. Factor g(z).
2*z*(z - 2)*(z + 2)/17
Let x = -87 + 1045/12. Let c(w) be the second derivative of -1/90*w**6 + 0 - 1/18*w**3 - 1/20*w**5 + 0*w**2 - x*w**4 - 7*w. Determine r so that c(r) = 0.
-1, 0
Let i(d) be the third derivative of d**5/114 + d**4/114 - d**3/19 - 28*d**2. What is o in i(o) = 0?
-1, 3/5
Factor 1257*w - 90*w**3 - 234*w**3 - 4200*w**2 + 32928 - 8533*w - 8*w**4 - 7620*w.
-4*(w + 14)**3*(2*w - 3)
Let n(m) = 13*m**2 + 323*m + 634. Let q(o) = -84*o**2 - 2100*o - 4120. Let d(p) = 32*n(p) + 5*q(p). Factor d(h).
-4*(h + 2)*(h + 39)
Let u = 1017 + -1017. Factor -2/13*h**3 + u + 0*h**2 + 2/13*h.
-2*h*(h - 1)*(h + 1)/13
Let i(u) be the third derivative of 5*u**9/3024 - u**8/112 + u**7/84 - u**3/2 + 12*u**2. Let x(h) be the first derivative of i(h). Let x(n) = 0. Calculate n.
0, 1, 2
Suppose 2*l - 4*l + 10 = 0. Suppose 14 = l*k + 4. Factor k*x + 6*x**2 + 0*x + 0*x**3 + 4*x**3.
2*x*(x + 1)*(2*x + 1)
Let s(i) be the second derivative of i**5/140 + 5*i**4/56 + 2*i**3/7 + 28*i**2 - 59*i. Let a(z) be the first derivative of s(z). Factor a(f).
3*(f + 1)*(f + 4)/7
Factor -3*s**2 - 453/2*s + 114.
-3*(s + 76)*(2*s - 1)/2
Let d(i) = -3*i + 5. Let l be d(-1). Solve l*a**3 - 2*a**3 + a**3 + 18*a - 9*a**3 = 0.
-3, 0, 3
Let l(u) be the first derivative of -u**5/10 - 13*u**4/4 - 23*u**3/6 + 25*u**2/2 + 443. Determine v, given that l(v) = 0.
-25, -2, 0, 1
Suppose -w = -4*w + 6. Suppose 18*c**2 - 7*c**w + 2*c**4 + 21*c**2 + 16*c**3 = 0. Calculate c.
-4, 0
Suppose 4*s - 10 = -3*a, -a - 8 = -s + a. Suppose -s*i + i = -4*b - 1, 2*b = 5*i - 11. Factor -3*u**3 - 12*u**4 - 11*u**5 + 2*u**5 - i*u**5.
-3*u**3*(2*u + 1)**2
Suppose 5*p - p = 0. Suppose p*w - 5*w + 15 = 0. Factor 2*g**w - g**4 - 62*g + 62*g - g**3.
-g**3*(g - 1)
Let s be -145 + 159 - (-10)/(-6). Solve -10/3 - 32/3*r**2 + s*r + 5/3*r**3 = 0 for r.
2/5, 1, 5
What is k in -1/2*k**3 + 51/2 + 37/2*k - 15/2*k**2 = 0?
-17, -1, 3
Let w(c) be the first derivative of -c**4/2 + 16*c**3/9 + 11*c**2/3 - 21. Factor w(v).
-2*v*(v + 1)*(3*v - 11)/3
Let d(b) = -2*b**3 - b**2 + 4*b + 3. Suppose 0 = -5*n + 2*t + 12, -7 = -n - 0*n + 5*t. Let y(f) = -f**3 - 1. Let p(h) = n*y(h) - 2*d(h). Factor p(l).
2*(l - 2)*(l + 1)*(l + 2)
Let l = 1063/3513 - -36/1171. What is j in l*j**2 + 0 + 2*j = 0?
-6, 0
Let x = -28178/33 + 2566/3. Factor -64/11 - 1/11*d**2 + x*d.
-(d - 8)**2/11
Let u be (2/6)/(2/18). Let t = 8998/11285 + 6/2257. Determine r, given that 2/5*r**u - 2/5*r + t*r**2 - 4/5 = 0.
-2, -1, 1
Let d = -472 - -724. Let m = d - 999/4. Determine o, given that -7/4*o**2 - 1/2 - m*o = 0.
-1, -2/7
Let k = 169/7 + -24. Let j(a) be the first derivative of -1 + 4/7*a - k*a**2 - 2/7*a**3. Suppose j(h) = 0. Calculate h.
-1, 2/3
Find h such that -45*h**2 + 10 + 5 - 12*h**3 - 4 - 2 - 24*h = 0.
-3, -1, 1/4
Let k(q) be the third derivative of -5/54*q**4 + 0*q - 25/27*q**3 - 1/270*q**5 + 8*q**2 + 0. Suppose k(j) = 0. Calculate j.
-5
Suppose -36 = 9*n - 63. Let l be ((-1)/(-2))/(1/6). Factor 3 + 3 + k**2 + 6*k**2 - 14*k - 2*k**n + l*k**2.
-2*(k - 3)*(k - 1)**2
Let l(i) be the second derivative of -3*i**5/80 - 5*i**4/8 + 2*i + 36. What is v in l(v) = 0?
-10, 0
Let i(c) = -c**3 + c. Let a(n) be the first derivative of 5*n**2 - 8/3*n**3 + 8 + 0*n. Let b(h) = 2*a(h) - 4*i(h). What is w in b(w) = 0?
0, 2
Let s(c) be the third derivative of c**6/40 - 7*c**5/60 + 2*c**3/3 - 15*c**2. Determine d, given that s(d) = 0.
-2/3, 1, 2
Let b(x) be the third derivative of x**6/660 + x**5/55 + 5*x**4/132 - 4*x**3/11 - 180*x**2. Suppose b(t) = 0. What is t?
-4, -3, 1
Let d(s) = s**4 + 69*s**3 - 1589*s**2 + 12169*s + 4. Let b(a) = 4*a**4 + 207*a**3 - 4768