 3*z**2. Determine l, given that n(l) = 0.
-1, 0, 1
Let t(z) be the second derivative of -z**4/30 - 2*z**3/15 + z. Find d such that t(d) = 0.
-2, 0
Let g be (-110)/70 + (-2)/(-1). Determine b, given that g*b - 2/7 - 1/7*b**2 = 0.
1, 2
Let y = -16 - -20. Suppose y*l + l = 5*z - 10, 0 = 5*l. Let -z*f**2 - 2/9*f**4 - 14/9*f - 10/9*f**3 - 4/9 = 0. Calculate f.
-2, -1
Let p = 74 - 71. Solve -4/7*z**2 + 2/7 + 4/7*z**p - 2/7*z**5 - 2/7*z + 2/7*z**4 = 0 for z.
-1, 1
Let x(m) be the second derivative of m**5/10 + m**4/6 - 2*m. Determine k, given that x(k) = 0.
-1, 0
Let j(c) = c**2 - 1. Let h(v) = -2*v**4 - 8*v**3 - 4*v**2 - 8*v - 10. Let d be ((-1)/1*1)/(-1). Let x(r) = d*h(r) - 8*j(r). What is y in x(y) = 0?
-1
Let l = 1046/9 + -116. Let 4/9*d - l*d**2 - 2/9 = 0. What is d?
1
Let r(d) be the third derivative of d**7/420 + d**6/30 + 3*d**5/20 - 9*d**3/4 - 17*d**2 + 1. Factor r(b).
(b - 1)*(b + 3)**3/2
Let s(a) be the third derivative of -a**5/4 - 5*a**4/6 + 10*a**3/3 - a**2 - 29. Factor s(p).
-5*(p + 2)*(3*p - 2)
Let r = -17 - -17. Let p(f) be the third derivative of 0*f**3 + 1/60*f**5 + 1/24*f**4 + 0 + 2*f**2 - 1/210*f**7 + r*f - 1/120*f**6. Factor p(o).
-o*(o - 1)*(o + 1)**2
Suppose 34*h = 32*h. Let n(x) be the second derivative of -1/90*x**6 - 1/126*x**7 + 1/36*x**4 + 0*x**3 + h*x**2 + 1/60*x**5 + 0 + 4*x. What is v in n(v) = 0?
-1, 0, 1
Let n = 316 + -311. Factor -2*r**4 - 2/5*r**n - 16/5*r**3 + 0*r + 0 - 8/5*r**2.
-2*r**2*(r + 1)*(r + 2)**2/5
Let d = -43/5 - -311/35. Factor 0*g + 2/7*g**2 - d.
2*(g - 1)*(g + 1)/7
Let m(x) be the third derivative of -x**7/840 + x**6/120 - x**5/80 - x**4/24 + x**3/6 - 6*x**2. Find d, given that m(d) = 0.
-1, 1, 2
Let v(q) be the third derivative of 2/35*q**7 + 1/6*q**3 + 0*q + 0 - 3/8*q**4 + q**2 - 31/120*q**6 + 9/20*q**5. Find k such that v(k) = 0.
1/4, 1/3, 1
Find d such that 3/8*d**5 + 1/2*d + 0 - 9/8*d**3 + 0*d**2 + 1/4*d**4 = 0.
-2, -2/3, 0, 1
Let -41*w**5 - 9 + 152*w**4 - 134*w**3 - 15*w**5 + 5 + 10*w + 32*w**2 = 0. What is w?
-2/7, 1/2, 1
Let y(a) be the first derivative of -a**7/210 - a**6/60 + a**4/12 + a**3/6 + 3*a**2/2 + 3. Let h(q) be the second derivative of y(q). Solve h(b) = 0.
-1, 1
Let v(c) be the second derivative of 2*c**6/5 - c**5 + 2*c**4/3 + 4*c. Factor v(k).
4*k**2*(k - 1)*(3*k - 2)
Let c be ((-12)/(-44))/(1/294). Let b = c - 80. Let 0*j + b*j**2 - 2/11 = 0. What is j?
-1, 1
Let f(m) = m**3 + 9*m**2 + 9*m + 11. Let n be f(-8). Suppose -n*d = 2*d. Solve 0*o - 2/5*o**3 - 2/5*o**4 + 0*o**2 + d = 0.
-1, 0
Let i = 179 - 176. Let q(f) be the first derivative of 8/5*f**5 - 1/3*f**2 + 4 + 1/3*f**4 - f**6 - 8/9*f**i + 0*f. Suppose q(v) = 0. Calculate v.
-1/3, 0, 1
Suppose 0*i + i = -4. Let x be (-24)/(-18) - i/(-6). Suppose 0*j - x*j**2 + 0 = 0. What is j?
0
Let v = 279 - 833/3. Find s such that -1/6*s**2 - 8/3 - v*s = 0.
-4
Suppose -56 - 34 = 5*b. Let d = b + 43/2. Find p such that -p**4 + p**2 + d*p**3 - 7/2*p**5 + 0 + 0*p = 0.
-1, -2/7, 0, 1
Solve 2*t**2 + 24*t + 36 - 6*t**2 + 7*t**2 + 12 = 0 for t.
-4
Let l(k) be the third derivative of k**5/60 - k**4/4 + 3*k**3/2 + k**2. Let l(r) = 0. What is r?
3
Let a(x) be the third derivative of -x**7/315 - x**6/30 - 2*x**5/15 - 5*x**4/18 - x**3/3 + 20*x**2. Solve a(y) = 0.
-3, -1
Suppose 5*s = -2*t + 16, 2*s + 2*t = -0*t + 10. Factor w**3 + 4 + 24*w**2 + 9*w**3 + s*w + 16*w.
2*(w + 1)**2*(5*w + 2)
Let r(u) be the second derivative of u**4/42 - 4*u**3/21 + 4*u**2/7 - 4*u. Let r(h) = 0. Calculate h.
2
Let i(c) be the second derivative of c**4/12 - c**3/2 + 8*c. Factor i(w).
w*(w - 3)
Let b(f) = -9*f**4 - 5*f**3 + 12*f + 2. Let k(d) = -d**4 + d. Let l(a) = 2*b(a) - 14*k(a). Let l(i) = 0. Calculate i.
-2, -1, -1/2, 1
Let c(k) = 16*k**5 + k**4 - 6*k**3 + 11*k. Let m = -11 + 7. Let x(g) = -3*g**5 + g**3 - 2*g. Let n(y) = m*c(y) - 22*x(y). Factor n(f).
2*f**3*(f - 1)**2
Let s(y) be the first derivative of 0*y**3 + 2 + 0*y**5 + 0*y - 1/6*y**6 - 1/2*y**2 + 1/2*y**4. Factor s(k).
-k*(k - 1)**2*(k + 1)**2
Let b be -2*4/(-4*2). Let u(t) be the first derivative of -2/15*t**3 + 0*t + b + 0*t**2 - 1/10*t**4. Factor u(o).
-2*o**2*(o + 1)/5
Factor -r**3 + 4*r**3 + r**2 - 4*r**3 + 5*r + 86 - 83.
-(r - 3)*(r + 1)**2
Let -2/21*v**3 - 2/21*v**4 + 2/21*v - 4/21 + 2/7*v**2 = 0. Calculate v.
-2, -1, 1
Determine i, given that -8/11*i + 86/11*i**4 + 90/11*i**2 - 8/11 - 18/11*i**5 - 142/11*i**3 = 0.
-2/9, 1, 2
Let u(v) be the third derivative of -1/24*v**6 + 0*v + 1/15*v**5 + 0*v**3 + 1/105*v**7 - 1/24*v**4 + 0 + v**2. Find f such that u(f) = 0.
0, 1/2, 1
Let g(l) be the first derivative of l**5 - 15*l**4/4 + 28. Factor g(h).
5*h**3*(h - 3)
Let y(o) be the third derivative of o**8/672 + o**7/70 + 7*o**6/120 + 2*o**5/15 + 3*o**4/16 + o**3/6 - o**2. Find c such that y(c) = 0.
-2, -1
Let u be (4 - 2) + (-24)/21. Let m(b) = -b**2 + 8*b - 9. Let w be m(6). Find v such that -2/7*v**4 - 6/7*v**2 + u*v**w + 2/7*v + 0 = 0.
0, 1
Let l(i) be the third derivative of -i**5/90 - 8*i**4/9 - 256*i**3/9 + i**2 + 2*i. Find n such that l(n) = 0.
-16
Let r(i) = -6*i + i**3 + 2 + i**2 + 6*i**2 - 2*i**3. Let w be r(6). Suppose p + 0*p**2 + 0*p**2 - p**w = 0. What is p?
0, 1
Let g(r) be the third derivative of r**7/210 - r**5/30 + r**3/6 + 5*r**2. Find m, given that g(m) = 0.
-1, 1
Factor -10*j**2 + 16*j**2 - 7*j**2.
-j**2
Let q = -197 + 199. Factor 2/3*y**q - 2/3*y - 2/3 + 2/3*y**3.
2*(y - 1)*(y + 1)**2/3
Let l = -8224/7 - -1176. Factor 8/7*g**2 + 4/7 + 12/7*g - 4/7*g**5 - 12/7*g**4 - l*g**3.
-4*(g - 1)*(g + 1)**4/7
Suppose 12 = -4*p, -s - 10 = 4*p - 1. Suppose -5*n**4 + 15*n**s - 2*n + 0*n - 7*n**4 - n**3 = 0. Calculate n.
-1/3, 0, 1/2, 1
Let w be ((-15)/(-10))/((-2)/(-4)). Let h(y) be the first derivative of 1 - 3/8*y**2 + 1/2*y + 1/12*y**w. Suppose h(z) = 0. What is z?
1, 2
Let t(p) be the first derivative of -1 + 1/15*p**3 - 1/10*p**2 - 2/5*p. Determine l, given that t(l) = 0.
-1, 2
Determine m, given that 0*m + 0*m**2 + 2/3*m**4 + 1/3*m**5 + 0 + 1/3*m**3 = 0.
-1, 0
Suppose -1052*u**4 - 720*u**5 - 2340*u**3 + 805*u**4 - 975*u**2 - 162*u**5 - 180*u - 12 - 2168*u**4 = 0. What is u?
-1, -2/7, -1/6
Let y(v) be the second derivative of v**9/7560 - v**8/840 + v**7/210 - v**6/90 + v**5/60 + v**4/3 - 2*v. Let k(g) be the third derivative of y(g). Factor k(x).
2*(x - 1)**4
Suppose 0 = -3*r + 9, -2*x + 5*r - 2 - 3 = 0. Let v(q) be the second derivative of 1/20*q**x + 0 + 0*q**2 + 0*q**3 + 1/12*q**4 - q. Solve v(b) = 0 for b.
-1, 0
Let z(q) be the second derivative of q**4/84 + q**3/21 + q**2/14 + 3*q. Factor z(c).
(c + 1)**2/7
Let d(l) be the third derivative of -l**8/3024 - l**7/945 - l**6/1080 + 7*l**2. Solve d(r) = 0 for r.
-1, 0
Suppose 6 = 2*y - 0. Suppose 0 = -0*m + 4*m + 2*a - 14, 0 = -2*m + 2*a + 4. Find i such that -i + 4*i**m - i**3 - i**y - i = 0.
-1, 0, 1
Suppose -5*f + 3*v = 35, -2*v - 16 = -4*f - 42. Let j be (-13 - -3)*f/10. Suppose -2 + 2*o**5 - 3*o - j*o**2 + 4*o**3 - 2*o + 6*o**4 - o = 0. Calculate o.
-1, 1
Let l = 13 - 9. Let y be (l/10)/((-2)/(-4)). Determine o so that -o**3 + y*o**4 - 1/5 - 3/5*o**2 + o = 0.
-1, 1/4, 1
Let r(a) = -2*a**3 + 3*a**2 - 2*a + 2. Let w be r(2). Let c be (-4)/w + (-16)/42. Factor 2/7*g**2 + c*g**3 + 0 - 2/7*g**4 - 2/7*g.
-2*g*(g - 1)**2*(g + 1)/7
Let a be 1*(-1)/(-2 + 1). Let y = a - -1. Factor 2 - 2 + y*z**2 - 2.
2*(z - 1)*(z + 1)
Let d = -20 + 25. Let o be (-3)/(-4) + (-15)/(-12). Factor 3/4*g**4 + 1/4 + 1/2*g**d - 1/2*g**3 + 0*g - g**o.
(g - 1)*(g + 1)**3*(2*g - 1)/4
Let i = -6 + 6. Suppose -l + 4 - 2 = i. Factor 3*p**l - 2*p**2 + 5*p**2 - 2*p**4 - 4*p**2.
-2*p**2*(p - 1)*(p + 1)
Let z(w) be the first derivative of 3*w**5/10 - 9*w**4/8 + w**3 + 9. Factor z(k).
3*k**2*(k - 2)*(k - 1)/2
Let v(z) be the third derivative of -z**6/360 + 5*z**3/6 - z**2. Let k(o) be the first derivative of v(o). Suppose k(x) = 0. What is x?
0
Solve 2*w**3 - 1 - 2*w - 4*w**3 + 4*w**2 + 1 = 0 for w.
0, 1
Let l(b) be the first derivative of b**6/60 - b**5/6 + 2*b**4/3 - 4*b**3/3 + 7*b**2/2 + 3. Let m(h) be the second derivative of l(h). Factor m(s).
2*(s - 2)**2*(s - 1)
Suppose -3*n + 15 = -0*n. Factor b**5 + n*b**2 - 8*b**2 + 3*b**5 - 6*b**4 + 5*b**2.
2*b**2*(b - 1)**2*(2*b + 1)
Let a(j) be the third derivative of -1/72*j**4 + 0*j + 0 + 0*j**3 - j**2 + 1/180*j**5. Suppose a(p) = 0.