+ l*r**2 - r**2 + 3 = 0.
2
Let y be (-2)/(44/(-36) + 1). Factor -47*a + y*a**3 + 11*a - 13*a**3 - 24*a**2.
-4*a*(a + 3)**2
Let x(y) = 8*y**2 + 620*y + 48052. Let u(b) = 51*b**2 + 3720*b + 288313. Let z(i) = -2*u(i) + 13*x(i). Determine p so that z(p) = 0.
-155
Let g(y) = y**3 + y**2 - y - 5. Let x(z) = z**2 + z - 1. Suppose 0 = a + 5*f - 9, 3*a - 6 = 3*f + 3. Let r(o) = a*x(o) + g(o). Factor r(h).
(h - 1)*(h + 3)**2
Let r(i) be the third derivative of -1/140*i**7 - 1/448*i**8 + 1/40*i**5 - 3/32*i**4 + 0*i**3 + 1/40*i**6 + 20*i**2 + 0*i + 0. What is q in r(q) = 0?
-3, -1, 0, 1
Let h(j) be the second derivative of j**6/60 + 7*j**5/150 + j**4/30 - 10*j**2 + 23*j. Let r(a) be the first derivative of h(a). Find m such that r(m) = 0.
-1, -2/5, 0
Let c(a) be the third derivative of a**7/2520 - a**6/720 - a**5/20 - 3*a**4/8 + 13*a**2. Let p(h) be the second derivative of c(h). Find m such that p(m) = 0.
-2, 3
Let d(q) = -2 - q**3 + 5*q + 8*q**3 - 4 - q**4 - 5*q**2. Let m = 23 + -18. Let b(w) = w**4 - 6*w**3 + 4*w**2 - 4*w + 5. Let a(k) = m*d(k) + 6*b(k). Factor a(o).
o*(o - 1)**2*(o + 1)
Let x(j) be the first derivative of 2/3*j**3 - j**2 + 5 + 0*j. Factor x(q).
2*q*(q - 1)
Let n(f) be the first derivative of 0*f + 1/7*f**3 + 9/14*f**2 - 13. Suppose n(g) = 0. Calculate g.
-3, 0
Let k(c) be the third derivative of -c**6/2160 + c**4/144 + c**3/2 + 9*c**2. Let u(n) be the first derivative of k(n). Determine l so that u(l) = 0.
-1, 1
Let c(l) be the third derivative of -l**8/1680 + 3*l**7/280 - 17*l**6/720 - l**5/20 - 7*l**4/8 + 8*l**2. Let x(h) be the second derivative of c(h). Factor x(a).
-(a - 6)*(a - 1)*(4*a + 1)
Let g(u) = -u**2 + 15*u - 44. Let j be g(12). Let x(d) = 13*d + 107. Let r be x(j). Find v such that -1/2*v**r - 1/2*v**2 + 1/2*v + 0 + 1/2*v**4 = 0.
-1, 0, 1
Suppose -31*l - 39 = -70. Solve 0*f**2 + l - 1/2*f**3 + 3/2*f = 0 for f.
-1, 2
Suppose 0*q - 119 = -4*q + l, 3*q + 2*l - 92 = 0. Suppose -39*v = -q*v. Factor v*s - 3/4*s**4 + 0*s**2 - 3/2*s**3 + 0 + 3/4*s**5.
3*s**3*(s - 2)*(s + 1)/4
Suppose -239 = 3*q + 85. Let z be q/(-90)*3/((-54)/(-10)). Factor 0 - z*c + 1/3*c**3 - 1/3*c**2.
c*(c - 2)*(c + 1)/3
Let l(a) = 2*a**2 - 17*a + 15. Let f(t) = t**2 - t. Let j(h) = -5*f(h) + l(h). Factor j(n).
-3*(n - 1)*(n + 5)
Let b(q) be the first derivative of q**6/60 - 3*q**5/25 + 7*q**4/20 - 8*q**3/15 + 9*q**2/20 - q/5 - 120. Factor b(d).
(d - 2)*(d - 1)**4/10
Let m(y) be the second derivative of y**6/5 + 13*y**5/6 + 113*y**4/18 + 67*y**3/9 + 10*y**2/3 - 4*y + 2. Determine n so that m(n) = 0.
-5, -1, -2/9
Let y(d) be the first derivative of d**4/10 + 6*d**3/5 + 24*d**2/5 + 8*d - 60. Factor y(x).
2*(x + 2)**2*(x + 5)/5
Let a(v) = 10*v**4 - 2*v**3 - 52*v**2 - 40*v - 6. Let u(i) = -i**4 - i**3 + 1. Let y(f) = -a(f) - 6*u(f). Factor y(q).
-4*q*(q - 5)*(q + 1)*(q + 2)
Solve -3/2*m**2 + 0*m - 3/2*m**5 - 9/2*m**3 + 0 - 9/2*m**4 = 0 for m.
-1, 0
Let n(g) be the third derivative of g**7/42 + g**6/24 - g**5/2 - 5*g**4/6 + 20*g**3/3 - 9*g**2 - 5*g. Factor n(r).
5*(r - 2)*(r - 1)*(r + 2)**2
Let y(a) be the third derivative of -a**6/120 + 15*a**3/2 + a**2. Let t be y(0). Factor -t*q + 45*q + 6*q**4 - 2*q**2 + 4*q**3.
2*q**2*(q + 1)*(3*q - 1)
Find m such that -26*m**2 - 113*m + 4*m**4 + 10*m**3 + 0*m**4 + 127*m - 2*m**4 = 0.
-7, 0, 1
Let j(m) = m**3 - 5*m**2 - 5*m - 3. Let d be j(6). Let i = 8 - d. Factor 3/4*v**3 + 3/4*v**2 + 0 - 3/4*v**4 - 3/4*v**i + 0*v.
-3*v**2*(v - 1)*(v + 1)**2/4
Let p(x) be the first derivative of 0*x**2 - 9/20*x**4 - 15 + 11/15*x**3 + 2/25*x**5 - 4/5*x. Factor p(a).
(a - 2)**2*(a - 1)*(2*a + 1)/5
Let v(p) be the second derivative of p**4/21 - 26*p**3/21 - 4*p**2 + 661*p. Factor v(u).
4*(u - 14)*(u + 1)/7
Let b(q) be the third derivative of q**7/1050 - q**5/60 + 2*q**3/15 - 214*q**2. Suppose b(u) = 0. What is u?
-2, -1, 1, 2
Suppose 87*u - 63*u - 72 = 0. Let o(j) be the first derivative of -3/10*j**2 - 6/5*j - 9 + 1/5*j**u. Factor o(w).
3*(w - 2)*(w + 1)/5
Factor 32/3 + 4/3*h**4 + 16/3*h - 4/3*h**3 - 8*h**2.
4*(h - 2)**2*(h + 1)*(h + 2)/3
Let m(k) be the third derivative of -k**7/945 - k**6/135 + k**5/90 + 5*k**4/54 - 8*k**3/27 - 24*k**2 + 2*k. Find a such that m(a) = 0.
-4, -2, 1
Suppose 4*s**2 + 9*s**2 + 164*s - 5*s**3 + 162*s - 320*s = 0. What is s?
-2/5, 0, 3
Let q(v) be the second derivative of v**6/24 + 193*v**5/80 + 639*v**4/16 + 1007*v**3/24 - 361*v**2/4 - 606*v. Let q(x) = 0. Calculate x.
-19, -1, 2/5
Let d(g) be the third derivative of -g**6/24 - g**5/24 + 65*g**4/48 - 5*g**3/2 - 9*g**2 + g. Factor d(k).
-5*(k - 2)*(k + 3)*(2*k - 1)/2
Let t(l) be the third derivative of -l**6/280 + l**4/56 + 56*l**2. Solve t(h) = 0 for h.
-1, 0, 1
Let y(i) be the first derivative of -15*i**4/4 + 20*i**3 - 40*i**2 - 20*i - 22. Let x(u) be the first derivative of y(u). Let x(f) = 0. Calculate f.
4/3
Let z = -167 - -170. Let a(h) be the third derivative of 0 + 0*h - 2*h**z - 1/20*h**5 + 1/2*h**4 - 6*h**2. Find o such that a(o) = 0.
2
Suppose 3*u = -n + 30, -4*n + 5*u - u = -40. Solve -81*p**2 + n*p**4 + 5*p**3 - 5*p + 21*p**2 + 24*p**2 + 21*p**2 = 0.
-1, -1/3, 0, 1
Let d(h) = -4*h + 5*h - 4*h + 5*h - h**2 + 19*h + 11. Let w(i) = 2*i**2 + 2*i**2 - 84*i - 56 - 20*i. Let x(c) = 24*d(c) + 5*w(c). Determine n so that x(n) = 0.
-2
Let q = 14019 + -41993/3. Suppose -4*x**5 - 8/3 - q*x**4 - 40*x**2 - 52/3*x - 128/3*x**3 = 0. What is x?
-2, -1, -1/3
Let d be 3/24 + (-1992)/(-5312). Suppose -2*q + 8 = -x, 2*q - 9 - 11 = -5*x. Find n, given that -3/2*n**3 + 0*n + 0 - n**x - d*n**4 = 0.
-2, -1, 0
Let 0*k + 0 - 2/5*k**5 + 0*k**2 + 8/5*k**3 + 0*k**4 = 0. What is k?
-2, 0, 2
Let a(j) = -j + 1. Let t = 4 - 2. Let w(m) = 0*m**2 + 22*m - 20 - 8*m - t*m**2. Let k(p) = 2*a(p) + w(p). Find o such that k(o) = 0.
3
Let x(k) be the first derivative of -5*k**7/42 - k**6/6 + k**5/4 + 5*k**4/12 - 19*k - 10. Let w(d) be the first derivative of x(d). Factor w(c).
-5*c**2*(c - 1)*(c + 1)**2
Factor 3/4*c**3 - 12*c + 9 + 9/4*c**2.
3*(c - 2)*(c - 1)*(c + 6)/4
Factor -2544224 - 1/2*i**5 - 5132824*i - 259*i**4 - 89785/2*i**3 - 2633234*i**2.
-(i + 1)**2*(i + 172)**3/2
Let j = 5051/10 - 505. Let h(l) be the third derivative of l**3 - 3/8*l**4 + 1/10*l**6 - 4*l**2 + 0*l**7 - 1/112*l**8 + 0 - j*l**5 + 0*l. Solve h(o) = 0.
-2, -1, 1
Let k(p) be the third derivative of -1/24*p**8 + 0*p - 1/21*p**7 + 0*p**5 + 0*p**4 + 1/30*p**6 + 0 + 16*p**2 + 0*p**3. Factor k(g).
-2*g**3*(g + 1)*(7*g - 2)
Suppose -x = -0*x - 4*c - 138, -5*x = -c - 614. Let h = -114 + x. Factor -9/2 - h*k**2 + 12*k.
-(4*k - 3)**2/2
Let y(i) be the second derivative of 7*i**5/20 + i**4/18 + 2*i + 19. Solve y(s) = 0.
-2/21, 0
Let d(z) be the third derivative of -z**7/210 - 7*z**6/120 + 3*z**5/20 + 7*z**4/24 - 4*z**3/3 - 812*z**2. Find k, given that d(k) = 0.
-8, -1, 1
Let g(w) be the third derivative of w**6/1080 - w**5/120 + w**4/36 + 7*w**3/6 - 6*w**2. Let q(f) be the first derivative of g(f). What is t in q(t) = 0?
1, 2
Let u(q) be the first derivative of q**3 + 3*q**2 + 3*q + 110. Factor u(p).
3*(p + 1)**2
Let l be (-209)/(-44) + (0 - (6 + -2)). Let j = 71 - 68. Factor 3/2*x**2 + 1/8*x**4 + l*x**j + 0 + x.
x*(x + 2)**3/8
Let i(w) be the first derivative of w**6/6 + 42*w**5/5 + 441*w**4/4 + 165. What is x in i(x) = 0?
-21, 0
Let g be ((-15)/(-12))/(73/292). Factor -3/2*n**3 + 3/2*n**2 + 3/4*n**g - 3/4*n**4 - 3/4 + 3/4*n.
3*(n - 1)**3*(n + 1)**2/4
Suppose 3 = -d - 2*c + 13, 10 = 3*d + 2*c. Let i(m) be the second derivative of -1/18*m**4 + 9*m + d*m**2 - 2/9*m**3 + 0. Factor i(n).
-2*n*(n + 2)/3
Suppose -47435*v**3 + 402*v**2 - 15*v**4 + 8*v**5 + 47269*v**3 + 5*v**4 - 90*v = 0. What is v?
-5, 0, 1/4, 3
Let x(z) be the first derivative of z**3/2 + 9*z**2/4 - 84. Factor x(j).
3*j*(j + 3)/2
Let d = 2647/420 + -44/7. Let y(j) be the second derivative of 0 - 6*j - 1/12*j**4 + 1/18*j**3 - d*j**5 + 1/3*j**2 + 1/90*j**6. Solve y(w) = 0 for w.
-1, 1, 2
Let x be 22/(2 - 12/8). Suppose 0 = -v - 42 + x. Factor 2/7 - 4/7*r + 2/7*r**v.
2*(r - 1)**2/7
Let f(k) = -k**2 - 12*k + 5. Let h be f(-8). Find l such that 34*l - h*l + 4*l**2 - 3*l**2 = 0.
0, 3
Factor 5*g**3 - 3*g**2 - 7/3*g**4 + 0*g + 0 + 1/3*g**5.
g**2*(g - 3)**2*(g - 1)/3
Let k(c) be the first derivative of -4*c**5/5 + 7*c**4 - 64*c**3/3 + 24*c**2 - 215. Factor k(h).
-4*h*(h - 