**4 + 0 + 0*p + 1/20*p**5. Solve v(h) = 0.
0, 2
Let l(s) be the second derivative of 0*s**2 - 55*s - 1/15*s**6 + 0 + 1/6*s**4 - 4/9*s**3 + 2/15*s**5. Find d, given that l(d) = 0.
-1, 0, 1, 4/3
Suppose -4*y + 45 = -5*l, 2*y - 3*l = 29 - 4. Let o be (-2 - 0) + y - 1. Factor 4*s**2 + 0*s**3 + s**2 - o*s**2 - 3*s**3.
-3*s**2*(s - 1)
Let i be 0/(-13) + 2/1. Let c(d) be the third derivative of 0*d - 1/60*d**5 + 1/6*d**4 + 0 - d**i - 1/2*d**3. Factor c(f).
-(f - 3)*(f - 1)
Suppose 6 + 6 = v. Suppose v*l + 18*l**2 - 12 - 2*l**3 + 17*l**2 - 32*l**2 - l**3 = 0. Calculate l.
-2, 1, 2
Let o(c) be the third derivative of c**5/240 - 7*c**4/96 - 3*c**3/4 - 86*c**2. Factor o(d).
(d - 9)*(d + 2)/4
Let t = 229 - 226. Let d(h) be the second derivative of 0*h**3 - t*h + 0*h**4 + 1/10*h**6 + 0 + 0*h**5 + 1/14*h**7 + 0*h**2. Factor d(q).
3*q**4*(q + 1)
Let j(l) = l**3 - 5*l**2 - 4*l - 2. Let u be j(6). Determine d so that -14*d - u*d**2 - 8*d**3 - 13*d**3 - 6 + 19*d**3 = 0.
-3, -1
Let l(k) be the first derivative of 2*k**5/35 + k**4/14 - 4*k**3/7 - 4*k**2/7 + 16*k/7 - 97. Factor l(f).
2*(f - 2)*(f - 1)*(f + 2)**2/7
Let x(v) = v**2 - 3*v + 3. Let q be x(3). Suppose 36 = z + q*z. Suppose -z*j**2 + 20*j**2 - 10*j**2 = 0. Calculate j.
0
Find x, given that 8/19*x**3 + 10/19*x**2 - 2/19*x**4 + 0 + 0*x = 0.
-1, 0, 5
Let m(r) be the third derivative of -r**8/336 - r**7/70 + r**6/60 + r**5/5 + r**4/3 - 4*r**2 + 8*r. Factor m(w).
-w*(w - 2)*(w + 1)*(w + 2)**2
Let m be (-6)/(-24) + (1557676/80)/17. Factor -448*i**3 + 196/5*i**4 + 576/5 + m*i**2 + 768*i.
4*(i - 6)**2*(7*i + 2)**2/5
Suppose 1660*j - 7 = 1659*j. Let f(l) be the first derivative of j + 0*l + 4/9*l**2 - 2/27*l**3. Factor f(w).
-2*w*(w - 4)/9
Let d be (-84)/(-341) - (-28)/(-434). Suppose 2*x - 3*v = 0, 0 = 2*x - 3*x - 2*v. Factor d*l + x - 2/11*l**2.
-2*l*(l - 1)/11
Let x(g) = 2*g**3 - 7*g. Let b(o) = -2*o**3 + 8*o. Let s(n) = -5*b(n) - 6*x(n). Factor s(z).
-2*z*(z - 1)*(z + 1)
Let i(u) be the third derivative of 5*u**6/24 + 17*u**5/12 + 5*u**4/8 - 15*u**3/2 - 31*u**2 - 3. Factor i(t).
5*(t + 1)*(t + 3)*(5*t - 3)
Suppose -2*r + 23*l = 26*l - 23, 0 = -4*l - 4. Suppose 5*c - 4*z = 2*c + 9, 2*c - 4*z - 6 = 0. Let -13 + 2*a**5 + 2*a**2 + r + 6*a**c + 6*a**4 = 0. What is a?
-1, 0
Let k(j) = -j**3 + 11*j**2 - 11. Let a be k(9). Suppose -10*v**2 + 11*v + 0*v + 4*v + a*v**3 - 156*v**3 = 0. Calculate v.
-3, 0, 1
Let h(a) be the third derivative of -a**5/30 + 31*a**4/6 - 961*a**3/3 - 45*a**2. Factor h(k).
-2*(k - 31)**2
Let i = 754/5 - 150. Let r be ((-27)/(-6) - (-2)/(-4))/2. Let 0 + 2/5*h**r + i*h = 0. What is h?
-2, 0
Let j = 2453 - 4905/2. Factor -1/2*r**4 + j + r**3 + 0*r**2 - r.
-(r - 1)**3*(r + 1)/2
Factor -1349*j - 943*j - 688*j**3 + 88*j**4 - 4*j**5 + 1918*j**2 - 1292*j + 2048 + 418*j**2.
-4*(j - 8)**2*(j - 2)**3
Let p = 2/1265 + 100/759. Let u(v) be the second derivative of -p*v**6 + 0*v**4 - 1/5*v**5 + 0*v**3 + 5*v + 0 + 0*v**2. Find s such that u(s) = 0.
-1, 0
Let u(r) = -4*r**2 + 4*r + 16. Let g(q) be the second derivative of 1/2*q**2 - 11*q + 0. Let w(z) = 8*g(z) - u(z). Let w(p) = 0. What is p?
-1, 2
Let z(f) = 1. Let o(r) = -3*r - 12. Let k(n) = o(n) - z(n). Let u be k(-6). Factor -12*i**2 - 4*i**4 + i**5 + 4*i - 4*i + 20*i**3 - u*i**5.
-4*i**2*(i - 1)**2*(i + 3)
Suppose 10 = 6*l - 2. Suppose 8 = 2*k + l*k. Factor 2/3*a**k - 2/3*a + 0.
2*a*(a - 1)/3
Let v(r) = r**3 + 9*r**2 + 13*r + 2. Let t be v(-6). Let y be t/28*(-2 - -9). Factor -1/4*i**5 - 1/2*i**4 + 4*i**2 - y + 2*i**3 - 4*i.
-(i - 2)**2*(i + 2)**3/4
Let s(p) = -7*p - 1. Let i = 13 + -14. Let c be s(i). Suppose -4 + 20*l**2 - l**4 - 4*l**4 - 11*l**4 + c*l - 6*l**5 + 0 = 0. What is l?
-2, -1, 1/3, 1
Suppose -2*c + 14 = 5*c. Let o(y) be the first derivative of 4/9*y - 1/9*y**2 + 1/18*y**4 - 4/27*y**3 - c. Let o(z) = 0. What is z?
-1, 1, 2
Let f(n) be the first derivative of n**4/6 - 7*n**3/12 - n**2/2 + 5*n - 5. Let j(d) be the first derivative of f(d). Determine k so that j(k) = 0.
-1/4, 2
Factor -26 + 11*m - 2*m**2 - 35*m - 12 - 26.
-2*(m + 4)*(m + 8)
Let b(z) = 10*z**5 - 5*z**4 - 5*z**3 - 5*z. Let j(c) = 11*c**5 - 4*c**4 - 6*c**3 - 6*c. Let r(u) = 6*b(u) - 5*j(u). Factor r(p).
5*p**4*(p - 2)
Determine m so that 5*m**5 + 5*m**5 - 8*m**5 - 2*m**3 = 0.
-1, 0, 1
Let q be 2/((-440)/210) + (-6)/(-4). Let 2/11 + 6/11*b - q*b**4 - 4/11*b**3 + 4/11*b**2 - 2/11*b**5 = 0. Calculate b.
-1, 1
Let h(x) be the third derivative of -x**6/480 - x**5/40 - 3*x**4/32 + 275*x**2. What is k in h(k) = 0?
-3, 0
Let q(r) be the third derivative of r**6/200 + 2*r**5/25 + 3*r**4/10 - 13*r**2 - 3. Let q(h) = 0. What is h?
-6, -2, 0
Suppose s - 10 = 3*s. Let n be 1/(-5) + (-21)/s. Solve -6*v + 2 + 0*v**3 + 2*v**3 - 2 + n = 0.
-2, 1
Let j(p) be the second derivative of -p**5/70 - 2*p**4 + 85*p**3/21 + 4*p - 1. Factor j(b).
-2*b*(b - 1)*(b + 85)/7
Suppose -2*q - 13*q = 0. Factor -1/5*i + 1/5*i**3 + 0 + q*i**2.
i*(i - 1)*(i + 1)/5
Let g be (45 + -40)*-1*(-4)/(-10). Let n be (-5)/(10/3)*g. Factor 0 - 2/5*s**n + 2/5*s**4 + 2/5*s - 2/5*s**2.
2*s*(s - 1)**2*(s + 1)/5
Let x(j) = j - 1. Let p(v) = -3*v**2 - 6*v + 7. Suppose -4*o = -2*h - 0*h + 10, -5 = 3*o + h. Let k(b) = o*p(b) - 14*x(b). Find t, given that k(t) = 0.
0, 1/3
Let v(h) = 3*h**2 + 266*h - 3641. Let u(i) = -5*i**2 - 265*i + 3640. Let a(x) = -4*u(x) - 5*v(x). Determine t, given that a(t) = 0.
27
Let i = 733/336 + -91/48. What is g in i*g**3 + 4/7 - 2/7*g - 4/7*g**2 = 0?
-1, 1, 2
Suppose 5*f + 250 = -0*y - 5*y, y + 38 = 3*f. Let j be 124/480 - (y/(-15) + -3). Factor j*l**2 - 5/4*l + 25/8.
(l - 5)**2/8
Suppose 0*v + v - 4 = 0, 2*l = 2*v - 4. Factor -2*h + 8*h + 4*h**2 + 7*h**l - 13*h**2.
-2*h*(h - 3)
Let c = 249/4 + -1493/24. Let o(p) be the second derivative of 0 + c*p**4 + 4*p - 1/4*p**3 + 1/2*p**2. Factor o(v).
(v - 2)*(v - 1)/2
Suppose 0 = 3*q - 7 - 11. Factor 26*o + 14*o**2 - q*o**2 - 20*o.
2*o*(4*o + 3)
Let p(n) be the second derivative of 1/12*n**5 - 1/126*n**7 - 1/36*n**4 - 2/3*n**2 + 0 - 4/9*n**3 + 12*n + 1/90*n**6. Find o, given that p(o) = 0.
-1, 2
Let l(y) be the third derivative of -2*y**7/35 + 3*y**6/40 + y**5/20 - 41*y**2 + 2. Determine q, given that l(q) = 0.
-1/4, 0, 1
Factor -59*v**2 - 10*v + 28*v**2 - 139 + 19 + 36*v**2.
5*(v - 6)*(v + 4)
Let a = -20 - -26. Let r be (-2 - -2)*2/a. Determine w, given that 2/3*w + r*w**2 + 0 - 2/3*w**3 = 0.
-1, 0, 1
Let n = 163 + -103. Let a = n - 58. Factor -2/5*b**3 + 0 + 0*b - 2/5*b**a.
-2*b**2*(b + 1)/5
Factor 7/3*b**4 + 0 - 1/3*b**5 + 0*b + 0*b**2 + 0*b**3.
-b**4*(b - 7)/3
Let n(j) = 11*j**3 - 49*j**2 - 12*j. Let m(s) = 16*s**3 - 74*s**2 - 18*s. Let p be (-4)/(-3) + 28/(-3). Let w(z) = p*n(z) + 5*m(z). Factor w(f).
-2*f*(f - 3)*(4*f + 1)
Let z be -3*(-4)/16 + 0. Let y = -24219/4 - -6055. Factor z*h + 1/4*h**3 + 3/4*h**2 + y.
(h + 1)**3/4
Let n(w) = w**3 + 23*w**2 + 123*w + 26. Let f be n(-8). Let -1/2 + 1/2*m**f - 1/2*m**3 + 1/2*m = 0. Calculate m.
-1, 1
Let m be 9/12*(-12)/54*-2. Let x(f) be the first derivative of -1/9*f**3 + m*f**2 - 1/3*f - 3. Factor x(o).
-(o - 1)**2/3
Let c be (8/14)/1 - (-1088)/448. Let o(q) be the second derivative of -6*q + 0 - 1/4*q**2 - 1/8*q**c + 5/48*q**4. Suppose o(r) = 0. What is r?
-2/5, 1
Let q(x) be the third derivative of -x**7/210 + x**6/24 + x**5/10 + 23*x**2 - 4. Find b such that q(b) = 0.
-1, 0, 6
Suppose -4*s + 106 = 2*d, 199 = 3*d - s - 3*s. Let f = d + -61. Suppose -1/3*v**3 - 2/3*v + f - v**2 = 0. Calculate v.
-2, -1, 0
Let p(s) be the first derivative of -20*s**3/27 - 214*s**2/9 - 56*s/3 + 62. Solve p(o) = 0.
-21, -2/5
Let r(q) be the second derivative of q**7/42 - 19*q**6/30 + 31*q**5/5 - 24*q**4 + 216*q**2 - 514*q. Factor r(i).
(i - 6)**3*(i - 2)*(i + 1)
Let x(r) = -r**3 + 2*r - 1. Let v be x(-2). What is u in -6 - 6*u - 5*u + 5*u**3 - 4*u**3 - 3*u**2 + u**4 + 2*u**v = 0?
-3, -1, 2
Let s(j) be the first derivative of -j**3/9 - 35*j**2/6 + 12*j + 503. Find t, given that s(t) = 0.
-36, 1
Solve -9*q - 300*q**2 + 169*q - 4500*q**3 - 2124 + 2140 = 0.
-2/15, 1/5
Let b be (3 + (-6)/8)*(-16668)/(-39). Let y = b + -961. Solve 56/13*f + 98/13*f**2 + y = 0 for f.
-2/7
Let q(t) be the third derivative of t**5/300 + 11*t**4/120 + t**3/3 - 319*t**2. Factor q(f).
(f + 1)*(f + 10)/5
Let m(b) be the second derivative of 3/20*b**5 - 21*b + 6*