erivative of w(u). Solve h(k) = 0 for k.
0, 2
Suppose 7*z**2 - 1563 - 295*z - 4055 + 83*z - 9*z**2 = 0. What is z?
-53
Solve 0 + 6/5*y**2 + 3/5*y**4 + 0*y - 9/5*y**3 = 0 for y.
0, 1, 2
Let p(x) = -2*x + 26. Let u be p(11). Let -74*q**2 + 0*q**4 + 26*q + 94*q - 2*q**u + 20*q**3 - 72 = 0. Calculate q.
2, 3
Suppose 12*y + 0*y - 36 = 0. Suppose 5*w**5 - 4*w**y - 5*w + 50*w**2 + 4*w**3 - 22*w**4 + 2*w**4 - 30 = 0. Calculate w.
-1, 1, 2, 3
Let q(y) be the second derivative of y**5/70 + y**4/42 - 2*y**3/21 - 4*y - 8. Find h such that q(h) = 0.
-2, 0, 1
Let o(y) be the second derivative of -7*y**6/6 - y**5 + 35*y**4/4 - 5*y**3/3 - 20*y**2 - 3*y + 42. Suppose o(v) = 0. Calculate v.
-2, -4/7, 1
Let l(m) be the second derivative of -4/7*m**2 - 8/7*m**3 + 26*m - 29/42*m**4 + 0 - 9/70*m**5. Factor l(y).
-2*(y + 1)*(y + 2)*(9*y + 2)/7
Let i be (-138)/(-20) - (19 - 13). Let k(a) be the first derivative of -i*a**2 + 7 + 2/5*a**3 + 3/5*a. Suppose k(v) = 0. Calculate v.
1/2, 1
Suppose -14 = -3727*b + 3720*b. Let i = 80/9 + -26/3. Factor -8/9*c**b - i + 8/9*c.
-2*(2*c - 1)**2/9
Let j(r) be the first derivative of 11*r**3/2 - 3*r**2 + r/6 - 36. Factor j(y).
(3*y - 1)*(33*y - 1)/6
Let n be (-7 + (-2416)/(-336))*(-21)/(-6). Find i such that 0*i - n*i**2 + 0 - i**3 = 0.
-2/3, 0
Let p(t) be the first derivative of 2*t**3/21 - 5*t**2/7 - 12*t/7 + 13. Factor p(w).
2*(w - 6)*(w + 1)/7
Solve -39 - 3*w**2 - 97*w + 46*w + 93*w = 0 for w.
1, 13
Let u(s) = 20*s**3 + 10*s**2 - 5. Let r(c) = 9*c**3 + 5*c**2 - 2. Let l(y) = -5*r(y) + 2*u(y). Factor l(d).
-5*d**2*(d + 1)
Suppose -652 - 932 = -144*t - 288. Solve -5/2*a**4 - 17/2*a**2 + 0*a - t*a**3 + 2 = 0 for a.
-2, -1, 2/5
Let p = -14687/12 + 3674/3. Factor 9/4*n + p*n**3 - 9/4*n**2 - 3/4.
3*(n - 1)**3/4
Let i(j) be the second derivative of -31*j + 1/9*j**2 + 1/108*j**4 + 1/18*j**3 + 0. Let i(y) = 0. What is y?
-2, -1
Let v = -27637/4 + 6922. Let 1/2 - 17/4*q + 27/4*q**4 - 63/4*q**3 + v*q**2 = 0. What is q?
1/3, 2/3, 1
Let g(q) be the third derivative of -11*q**6/40 + 13*q**5/20 + 7*q**4/8 - 9*q**3/2 - 2*q**2 + 130*q. Factor g(m).
-3*(m - 1)**2*(11*m + 9)
Let m(g) be the first derivative of 0*g + 5/8*g**4 + 20/3*g**3 - 1/2*g**5 + 49 - 15*g**2. Factor m(j).
-5*j*(j - 2)**2*(j + 3)/2
Let b(f) = 187*f - 184. Let t be b(1). Determine k, given that -3/5*k**4 + 12/5*k**2 - 9/5*k**t + 0*k + 0 = 0.
-4, 0, 1
Suppose -68012 = -17*u - 67978. Find z such that -21/4*z**5 + 0 + 0*z - 69/4*z**4 - 15*z**3 - 3*z**u = 0.
-2, -1, -2/7, 0
Let q(z) be the first derivative of -2*z**5/5 + 11*z**4/7 - 16*z**3/7 + 10*z**2/7 - 2*z/7 - 69. Factor q(p).
-2*(p - 1)**3*(7*p - 1)/7
Let k = 20649 + -61943/3. Let 32/3*s**3 + 0 - 10*s**4 - 2*s**2 + 8/3*s**5 - k*s = 0. What is s?
-1/4, 0, 1, 2
Suppose m + m = -4*t, -5*m = 4*t + 12. Suppose -24*c**t - 16*c + 5*c**4 + 9*c**3 + 32*c - 6*c**4 = 0. Calculate c.
0, 1, 4
Let u(f) be the third derivative of -f**5/480 + 17*f**4/192 + 5*f**3/4 - 2*f**2 + 158*f. Solve u(g) = 0.
-3, 20
Let p be (-24)/20*-10*3/9. Find c, given that 3 + 83*c**3 + 4*c**p + 10*c + 18*c**2 - 69*c**3 - 1 = 0.
-1, -1/2
Let a be (1 - 5) + 7 + -1. Factor 7 + f**a + 0*f**2 + 6 + 10*f + 12.
(f + 5)**2
Find c such that 85*c**4 - 6*c**5 + 4*c**3 + 48*c - 2*c**5 - 40*c**4 - 56*c**2 - 32*c**3 - 9*c**4 + 32 = 0.
-1, -1/2, 2
Factor -6*s**3 - 150 + 136*s + 2*s**4 - 2*s**3 + 80 - 60*s**2.
2*(s - 7)*(s - 1)**2*(s + 5)
Let j = -28040 - -28042. Suppose 0 + 2/11*r**j - 8/11*r = 0. Calculate r.
0, 4
Factor 6 - 2/5*z**3 + 26/5*z - 6/5*z**2.
-2*(z - 3)*(z + 1)*(z + 5)/5
Let k(v) be the second derivative of -18*v + 0*v**2 - 1/14*v**4 + 0 + 4/21*v**3. Factor k(i).
-2*i*(3*i - 4)/7
Let h(o) = 33*o**4 + 99*o**3 - 12*o**2 - 99*o. Let x(c) = 8*c**4 + 25*c**3 - 3*c**2 - 25*c. Let v(a) = 5*h(a) - 21*x(a). Find p such that v(p) = 0.
-10, -1, 0, 1
Let h(t) be the first derivative of t**3/5 - 33*t**2/10 + 6*t + 127. Let h(s) = 0. What is s?
1, 10
Suppose -2*b + 5*m = 6, 13 = -5*m + 23. Determine d so that 396/7*d**4 + 162/7*d**5 + 8/7*d + 88/7*d**b + 0 + 314/7*d**3 = 0.
-1, -2/9, 0
Let t(k) be the first derivative of -k**5/35 - 9*k**4/14 + 83*k**3/21 - 54*k**2/7 + 44*k/7 - 578. Let t(s) = 0. Calculate s.
-22, 1, 2
Factor 0 + 0*u + 2/17*u**3 - 4/17*u**2.
2*u**2*(u - 2)/17
Let l(x) = -23*x**3 + 1299*x**2 + 954*x - 392. Let n(o) = 90*o**3 - 5195*o**2 - 3815*o + 1570. Let g(z) = -25*l(z) - 6*n(z). Factor g(u).
5*(u - 38)*(u + 1)*(7*u - 2)
Factor 2/3 - 1/3*p**3 - 5/3*p + 4/3*p**2.
-(p - 2)*(p - 1)**2/3
Let f(v) = v**4 + 44*v**3 + 720*v**2 + 5336*v + 14641. Let q(n) = -2*n**4 - 88*n**3 - 1441*n**2 - 10670*n - 29282. Let w(m) = 11*f(m) + 6*q(m). Factor w(p).
-(p + 11)**4
Let w(v) be the first derivative of v**6/14 + 33*v**5/140 + v**4/4 + v**3/14 + 5*v - 1. Let n(s) be the first derivative of w(s). Suppose n(z) = 0. What is z?
-1, -1/5, 0
Let i(w) be the third derivative of 1/25*w**5 - 1/10*w**3 + 0*w - 3/40*w**4 - 3*w**2 + 0. Factor i(o).
3*(o - 1)*(4*o + 1)/5
Let c = 283 + -841/3. Let l(p) be the first derivative of -8 - p**2 - c*p**3 + 0*p. Determine h so that l(h) = 0.
-1/4, 0
Let -3*i**2 - 28*i + 41*i - 11*i - 98*i - 180 = 0. Calculate i.
-30, -2
Let h(a) be the first derivative of -a**4/16 + 5*a**3/12 + 4*a**2 + 9*a - 124. Suppose h(q) = 0. Calculate q.
-2, 9
Let d = -1821497/2088898 + -3/15706. Let g = 22/19 + d. Let -4/7 + 2/7*f**2 + g*f = 0. What is f?
-2, 1
Let s(h) be the third derivative of -h**5/15 - 43*h**4/6 - 28*h**3 - 13*h**2. Factor s(v).
-4*(v + 1)*(v + 42)
Suppose 12 = 4*h - 0*h. Let f(i) = -i**3 - 9*i**2 - 5*i. Let d(y) = -y**3 - 17*y**2 - 9*y. Let o(n) = h*d(n) - 7*f(n). Determine z, given that o(z) = 0.
-2, -1, 0
Let c(d) = d + 18. Let m be c(-4). Suppose 36*b - 12*b**3 + 5*b**2 + 3*b**2 + 3*b**4 + 27 - m*b**2 = 0. Calculate b.
-1, 3
Let d(z) be the second derivative of -5*z**2 + 0 + 17*z + 15/4*z**5 - 40/3*z**4 + 95/6*z**3. Let d(j) = 0. Calculate j.
2/15, 1
Let 5/2 - 2*d**2 - 3*d + 3*d**3 - 1/2*d**4 = 0. Calculate d.
-1, 1, 5
Let o be 21/(-14)*20/(-6). Factor -7*p**5 + 23*p**5 - 9*p**o - 8*p**5.
-p**5
Let l(b) = 3*b**5 + 26*b**4 - 20*b**3 - 4*b**2 + 46. Let u(w) = -w**5 - 9*w**4 + 7*w**3 + w**2 - 16. Let k(f) = -6*l(f) - 17*u(f). What is t in k(t) = 0?
-2, -1, 1
Let f = -23/738 + 1637/5166. Let -10/7*k + 0 + f*k**2 = 0. What is k?
0, 5
Let r(f) = -4*f**4 + 65*f**3 + 61*f**2 - 71*f - 72. Let y(w) = -26*w**4 + 456*w**3 + 428*w**2 - 496*w - 502. Let z(u) = 20*r(u) - 3*y(u). Factor z(i).
-2*(i - 1)*(i + 1)**2*(i + 33)
Let a(x) be the first derivative of x**4/16 + 5*x**3/12 - x**2/8 - 5*x/4 + 38. Factor a(c).
(c - 1)*(c + 1)*(c + 5)/4
Suppose 5*y - 4*y = 0. Suppose 12 = a + 5*h, 3*h + 4 = -0*a + 5*a. Find j such that 0*j - 2/5*j**4 - 6/5*j**3 - 4/5*j**a + y = 0.
-2, -1, 0
Determine i so that -40*i**4 - 18*i**3 + 81*i**4 + 36*i**2 - 24*i - 38*i**4 = 0.
0, 2
Suppose 3*u + 0*u = 7*u. Solve -18*i + u*i**2 + 4*i**5 + 18*i - 12*i**3 + 8*i**2 = 0 for i.
-2, 0, 1
Let g be (-1)/5 + (-380)/(-400). Suppose h = -3*h. Find c, given that 0*c + h - 3/4*c**4 + 0*c**2 - g*c**3 = 0.
-1, 0
Let u(t) be the third derivative of 0*t - 7*t**2 + 1/14*t**4 + 0 + 1/490*t**7 + 0*t**3 - 3/280*t**6 + 0*t**5. Find f, given that u(f) = 0.
-1, 0, 2
Let u = 32 - 26. Let v be ((-2)/u)/(3/(-18)). Factor 1/2*t + 1/4*t**v + 0.
t*(t + 2)/4
Let r(q) be the third derivative of -1/36*q**4 + 1/90*q**5 - 2/9*q**3 + 0*q - 14*q**2 + 0. Determine c so that r(c) = 0.
-1, 2
Let x(q) be the first derivative of q**8/336 - q**7/168 + 10*q**3/3 - 14. Let u(l) be the third derivative of x(l). What is i in u(i) = 0?
0, 1
Let d be 2 + -11 + 8130/900. Let k(l) be the second derivative of 1/9*l**4 + 1/3*l**3 + 0 - d*l**5 - 2*l + 0*l**2. Determine g, given that k(g) = 0.
-1, 0, 3
Let o(z) = -4*z - 312. Let x be o(-78). Let c(h) be the first derivative of 0*h**2 - 1/24*h**6 + x*h**3 - 1/4*h**4 + 0*h - 1/5*h**5 + 12. Factor c(t).
-t**3*(t + 2)**2/4
Let z(p) be the second derivative of p**8/1680 - p**7/525 + p**5/150 - p**4/120 + 13*p**2/2 + 13*p. Let t(c) be the first derivative of z(c). Factor t(j).
j*(j - 1)**3*(j + 1)/5
Find k such that 105*k**3 + 22*k**5 - 14*k + 65*k**4 + k - 12*k**5 + 5*k**2 + 5*k**2 - 27*k = 0.
-4, -2, -1, 0, 1/2
Let i(m) be the first derivative of -m**4/42 - m**3/21 + 2*m**2/7 - 3*m - 9. Let h(