rivative of l(c). Solve j(b) = 0.
-1, 2
Suppose -28*a - 33*a = -97 - 86. Find k, given that -1/2*k**2 + 5/8*k - 1/4 + 1/8*k**a = 0.
1, 2
Let n(i) = -3*i + 12. Let o be n(4). Suppose 0*g - 5*g = o. Factor g + 4/5*q**2 + 1/5*q.
q*(4*q + 1)/5
Let r(k) = 8*k**5 + 12*k**4 - 12*k**3 - 55*k**2 - 33*k. Let x(b) = 65*b**5 + 95*b**4 - 95*b**3 - 440*b**2 - 265*b. Let u(v) = 25*r(v) - 3*x(v). Factor u(h).
5*h*(h - 2)*(h + 1)**2*(h + 3)
Let p(y) be the second derivative of y**8/336 - y**7/56 + y**6/36 - 2*y**3/3 - 19*y. Let w(j) be the second derivative of p(j). Find v such that w(v) = 0.
0, 1, 2
Let d(f) = 4*f**4 - 6*f**3 + 23*f**2 - 15*f - 6. Let p(u) = 3*u**4 - 7*u**3 + 23*u**2 - 15*u - 4. Let q(l) = 2*d(l) - 3*p(l). Find x, given that q(x) = 0.
0, 1, 3, 5
Let n = 1170 - 1168. Find d, given that 8/9*d**n - 10/9*d**5 + 20/9*d**3 - 4/9 - 10/9*d - 4/9*d**4 = 0.
-1, -2/5, 1
Suppose -30*k = 10*k. Factor 3/2*a**3 + 0*a + 0*a**2 + k.
3*a**3/2
Let s(v) be the second derivative of v**7/42 - v**6/45 - v**5/10 + 5*v**3/3 + 14*v. Let y(l) be the second derivative of s(l). Suppose y(u) = 0. Calculate u.
-3/5, 0, 1
Let l be 352/32 - 7*1. Let d(k) be the third derivative of -1/735*k**7 + 0*k**6 + 0*k + 0*k**3 + 0*k**l + 7*k**2 + 1/210*k**5 + 0. Solve d(p) = 0.
-1, 0, 1
Let b(c) be the first derivative of -c**6/15 - c**5/5 + 2*c**3/3 + c**2 + 15*c - 16. Let u(z) be the first derivative of b(z). Factor u(i).
-2*(i - 1)*(i + 1)**3
Suppose 6*n - 21 = 3*n. Let b = 1 + n. Determine g so that 21*g**5 + 15*g**2 - 16*g**3 + 6*g - 15*g**4 + 2*g**3 - b*g**3 - 5*g**3 = 0.
-1, -2/7, 0, 1
Let l = -247 - -250. Let s(x) be the first derivative of 0*x**2 - 1/7*x**l - 7 + 3/7*x. Let s(k) = 0. What is k?
-1, 1
Let g(r) = 31 - 3*r - 24 - 2*r**2 - r**3 - r**2. Let h(z) = z**3 + 2*z**2 + 3*z - 6. Let k(b) = -5*g(b) - 6*h(b). Determine d so that k(d) = 0.
1
Let o(a) be the second derivative of -a**5/35 - 23*a**4/21 - 80*a**3/7 + 288*a**2/7 + 295*a. What is r in o(r) = 0?
-12, 1
Let h = -18 + 22. Solve 2 - h*c**2 - c + 2 - 6 - c**3 - 4*c = 0 for c.
-2, -1
Let l(q) be the second derivative of 3*q**5/80 - 3*q**4/16 + q**3/4 + 25*q. Factor l(a).
3*a*(a - 2)*(a - 1)/4
Suppose 5*v = 4*s - 6, 0 = -2*s - 3*s - 2*v + 24. Let n = -1 + 5. Suppose 3*j**2 - 8*j**3 + 4 + 9*j**2 + 7*j - n*j**2 - 4*j**5 - 12*j**s + 5*j = 0. Calculate j.
-1, 1
Let -6*a + 11*a + 29*a + 22*a + 5*a**2 - 255 + 14*a = 0. Calculate a.
-17, 3
Let m(q) be the first derivative of q + 1/12*q**4 + 7/6*q**2 + 5/9*q**3 + 15. Suppose m(g) = 0. Calculate g.
-3, -1
Let y(w) be the third derivative of w**7/1260 + 29*w**6/48 + 4205*w**5/24 + 3048625*w**4/144 - 835*w**2. Factor y(u).
u*(u + 145)**3/6
Solve -2/3 + 16/9*t**3 + 44/9*t**2 - 14/9*t = 0.
-3, -1/4, 1/2
Factor -f - 5/3*f**2 - 1/3*f**3 + 1/3*f**4 + 0.
f*(f - 3)*(f + 1)**2/3
Suppose 0 = -2*s - 4*v + 18, -8*s + 24 = -6*s + 2*v. Factor -2*g**4 + 7*g**4 - 4*g**3 + g**3 - 7*g**3 + s*g**5.
5*g**3*(g + 1)*(3*g - 2)
Let w(c) = -6*c - 16. Let x be w(-3). Suppose 5*g - r = 5, 4*g + 2*r - 14 = x*g. Factor -3/7*l + 3/7*l**3 + 0*l**g + 0.
3*l*(l - 1)*(l + 1)/7
Factor 7/3*k**2 - 2/3*k**3 - 1/3*k**4 + 4 + 20/3*k.
-(k - 3)*(k + 1)*(k + 2)**2/3
Let n = 21 + -18. Find d, given that -2*d**n - 2*d**4 + 2*d**3 - 6*d**3 = 0.
-3, 0
Let l(n) be the third derivative of -n**8/756 + 208*n**7/945 - 484*n**6/45 + 2080*n**5/27 - 5000*n**4/27 - 2*n**2 - 144. Find j such that l(j) = 0.
0, 2, 50
Let s be -8 + 1 - ((-114)/12)/(168/144). Determine m, given that -12/7*m + s + 0*m**2 + 4/7*m**3 = 0.
-2, 1
Factor 2/9*y**4 + 10*y**2 - 500/9 - 50/9*y + 26/9*y**3.
2*(y - 2)*(y + 5)**3/9
Let d(i) be the third derivative of -i**5/450 + 23*i**4/180 - i**2 + 4*i. Determine w, given that d(w) = 0.
0, 23
Let j(n) be the second derivative of -n**6/1620 + n**5/270 + n**3/2 + 6*n. Let t(y) be the second derivative of j(y). Let t(s) = 0. Calculate s.
0, 2
Factor 10 - 1/2*q**3 - 12*q + 9/2*q**2.
-(q - 5)*(q - 2)**2/2
Factor 1/9*w**5 - 2/9*w + 0 - 1/3*w**3 + 5/9*w**2 - 1/9*w**4.
w*(w - 1)**3*(w + 2)/9
Let q(j) = -j**2 + 60*j - 155. Let d(h) = 30*h - 78. Suppose -5*i = 2*g + 7, 2*g - 10 = -i - 5. Let f(n) = i*q(n) + 5*d(n). Suppose f(r) = 0. What is r?
5
Suppose 3*u - 20 = n, -3*u - 52*n + 51*n = -10. Suppose 0*p + p = 0. Factor 0 + 0*x - x**3 + p*x**4 + 1/3*x**u + 2/3*x**2.
x**2*(x - 1)**2*(x + 2)/3
Let g(b) = 2*b**2 + 9*b + 7. Let s(q) be the first derivative of -4*q**3/3 - 17*q**2/2 - 13*q + 1. Let f(z) = 5*g(z) + 3*s(z). Solve f(u) = 0.
-2, -1
Let l(s) = 4*s - 1. Suppose -h - 4 = -5. Let b be l(h). Solve 3*y**2 + 6*y - b*y**4 + 0*y**4 - 6*y**3 + 0*y = 0 for y.
-2, -1, 0, 1
Solve -8/15*o**3 + 8/15*o - 2/5*o**4 + 4/15*o**2 + 2/15 = 0 for o.
-1, -1/3, 1
Let o = -43/520 + 7/65. Let w(n) be the second derivative of 0 - 1/8*n**3 + 0*n**2 - 3/16*n**4 - o*n**6 - 4*n - 9/80*n**5. Let w(i) = 0. Calculate i.
-1, 0
Let m(y) be the first derivative of y**6/480 + y**5/48 - y**4/96 - 5*y**3/24 - 6*y**2 - 15. Let z(o) be the second derivative of m(o). Factor z(f).
(f - 1)*(f + 1)*(f + 5)/4
Let i be (-2)/20*-32 + -3. Let r = i - -3/10. Suppose -1/2*w**2 - 1/2*w**3 + 1/2 + r*w = 0. What is w?
-1, 1
Solve -2*s**2 - 2*s**5 - 8 + 22*s**2 + 10*s**3 - 2*s**4 + s**5 - 8*s - s**5 - 10*s**2 = 0.
-2, -1, 1, 2
Let m(z) be the first derivative of -z**3/3 - 3*z**2 - 9*z + 83. Factor m(t).
-(t + 3)**2
Let m = -38/17 - -521/119. Factor m*a + 12/7*a**2 + 6/7 + 3/7*a**3.
3*(a + 1)**2*(a + 2)/7
Let u = -9467/3 + 3164. Solve -25/3*c - 5/3 - u*c**4 - 50/3*c**2 - 50/3*c**3 - 5/3*c**5 = 0.
-1
Suppose 4*w - 7*w = 3*m - 231, 5*m + 20 = 0. Let s = w + -79. Factor 2/9*f**s - 4/9*f + 2/9.
2*(f - 1)**2/9
Let n(u) be the first derivative of -u**7/1400 - 7*u**6/600 + 44*u**3/3 - 28. Let q(j) be the third derivative of n(j). Factor q(g).
-3*g**2*(g + 7)/5
Let u(f) = 0*f + 3*f - 4 - 4*f. Let c be u(-6). Factor -p**2 + p + 6 + c*p**2 - 6.
p*(p + 1)
Let l be (-3)/(-6) + 39/6. Suppose 69 = -4*u + l*u. Factor 0*p + 20*p**3 + 3*p**2 + 0*p - u*p**3.
-3*p**2*(p - 1)
Solve -28/3*r - 2/3*r**2 - 22 = 0.
-11, -3
Suppose 24*j - 125 = 19. Let i(f) be the third derivative of -1/390*f**j + 1/78*f**4 + f**2 + 0 + 0*f + 0*f**5 - 1/39*f**3 + 1/1365*f**7. Solve i(d) = 0 for d.
-1, 1
Let x(t) be the second derivative of -t**6/6 - t**5 + 5*t**4 - 153*t. Factor x(v).
-5*v**2*(v - 2)*(v + 6)
Let t(v) = v - 12. Let p be t(-3). Let a(u) = 2*u**2 + 31*u + 17. Let b be a(p). Let -2/3 - 4/3*c - 2/3*c**b = 0. What is c?
-1
Let f(l) = 6*l**2 - 39*l - 111. Let z(w) = w**2 + 3*w - 1. Let i(o) = f(o) - 3*z(o). What is x in i(x) = 0?
-2, 18
Suppose 2*d = 2, 4*f - 5*d - 9 = 2. Let v(i) be the third derivative of 0*i - 1/2*i**3 - 1/8*i**4 - 1/80*i**5 - f*i**2 + 0. Factor v(b).
-3*(b + 2)**2/4
Find r such that -1109*r - 2*r**2 - r**2 + 169 + 1135*r + 4*r**2 = 0.
-13
What is o in 18*o - 21*o**2 - 2*o**3 - 32*o**3 + 42*o**3 - o**4 = 0?
0, 2, 3
Let k(x) be the first derivative of -x**3/2 + 15*x**2/2 + 36*x - 87. Let k(i) = 0. What is i?
-2, 12
What is b in 133*b**3 - 223*b**2 - 113*b**3 - 100 + 540*b - 18*b**2 + 37*b**2 = 0?
1/5, 5
Let l(b) = 17*b**4 + 20*b**3 - 25*b**2 - 12*b. Let z(s) = -35*s**4 - 40*s**3 + 50*s**2 + 25*s. Let c(h) = -5*l(h) - 2*z(h). Solve c(k) = 0.
-2, -1/3, 0, 1
Let a(m) = -1. Let c(j) = 7*j + 30 - 10*j**2 - 45 + 5*j**3 - 2*j. Let x(h) = 15*a(h) - c(h). Suppose x(z) = 0. Calculate z.
0, 1
Let o be (3 + 92/(-40))*-21*(-8)/28. Determine l so that 12/5 + 9/5*l - o*l**2 = 0.
-4/7, 1
Let v(m) be the third derivative of -11/210*m**6 - 27*m**2 + 0*m - 1/12*m**4 + 0 + 1/21*m**3 - 1/392*m**8 + 3/35*m**5 + 13/735*m**7. Factor v(a).
-2*(a - 1)**4*(3*a - 1)/7
Let m(z) be the third derivative of 0 - 1/390*z**5 + 0*z - 17*z**2 + 0*z**3 - 1/156*z**4. Let m(c) = 0. What is c?
-1, 0
Let j(q) be the first derivative of -q**6 + 286*q**5/75 + 5*q**4/6 - 62*q**3/9 + 4*q**2/3 + 8*q/5 - 95. Determine i so that j(i) = 0.
-1, -2/9, 2/5, 1, 3
Let s(i) be the first derivative of -7 + 0*i - 1/6*i**4 + 5/2*i**2 - i**3 + 1/30*i**5. Let h(j) be the second derivative of s(j). Factor h(w).
2*(w - 3)*(w + 1)
Let a(v) be the first derivative of 10 + 1/3*v**2 + 1/18*v**4 + 0*v - 8/27*v**3. Let a(k) = 0. What is k?
0, 1, 3
Let o(p) be the third derivative of -1/28*p**4 + 21*p**2 + 1/420*p**6 + 0*p + 0 + 0*p**3 + 1/105*p**5. Find m