e the second derivative of i**5/70 - 2*i**4/21 - 4*i**3/7 - 284*i. What is m in q(m) = 0?
-2, 0, 6
Let r(j) = -j**2 - 6*j - 1. Let k be r(-5). Solve 10*w**2 - 2*w**k + 16*w - 4*w**2 - 12*w = 0 for w.
-1, 0, 2
Let v(w) be the third derivative of -w**5/510 + w**4/34 - 5*w**3/51 - 2*w**2 + 18*w. Factor v(a).
-2*(a - 5)*(a - 1)/17
Suppose -29*n = 945 - 1003. Let h(f) be the first derivative of f**3 + f + 10 - 1/4*f**4 - 3/2*f**n. Solve h(u) = 0.
1
Let q(k) be the third derivative of 0*k**3 + 0*k + 0 + 6*k**2 - 1/36*k**4 - 1/90*k**5 - 1/720*k**6. Factor q(b).
-b*(b + 2)**2/6
Let m(g) be the third derivative of g**8/84 + 2*g**7/15 + g**6/5 - 11*g**2 - 9. Factor m(c).
4*c**3*(c + 1)*(c + 6)
Let k(o) = 7*o**2 - 24*o + 3. Let d(u) = -30*u**2 - 9 + 168*u - 11 - 18*u**2. Let p(q) = 3*d(q) + 20*k(q). Factor p(h).
-4*h*(h - 6)
Let v(n) = n**2 + 11*n + 18. Let h be v(-9). Let c(t) be the third derivative of -3/4*t**4 + h*t - 1/20*t**5 + 0 + 4*t**2 - 9/2*t**3. Factor c(m).
-3*(m + 3)**2
Let j(w) = 59*w + 7. Let r be j(-1). Let p = 54 + r. Suppose 0 - 2*h**p - 4/7*h = 0. Calculate h.
-2/7, 0
Let p(m) be the first derivative of m**4/8 - 2*m**3/3 - m**2/4 + 2*m - 9. Factor p(u).
(u - 4)*(u - 1)*(u + 1)/2
Let z(i) = i. Let d be z(-13). Let n(r) = -r**3 - 12*r**2 + 14*r + 18. Let w be n(d). Let u**3 + 0*u**3 + w*u**3 + 3*u**2 - 5*u**3 = 0. What is u?
-3, 0
Suppose 2*h + 0*h - 6 = 0. Let w = 336 + -334. Determine r so that 20 - w*r**2 + 3*r**h - 20 - r = 0.
-1/3, 0, 1
Let k = -95 - -98. Suppose 4*u - 7 = m, 9 = k*u + u + m. Find x such that -3/2*x - 3/4*x**u + 9/4 = 0.
-3, 1
Let g be -6*(-1 + (-9)/(-6)). Let h(l) = 2*l**2 + 2*l - 4. Let p be h(g). Let 6 - p*v**2 + 10*v**2 + 9*v - v = 0. What is v?
-3, -1
Let h be (-8)/(-30)*(-21 + 30) + (-18)/(-30). Factor 6*t**5 - 16/3*t**h + 8/3*t**2 + 0*t + 0 - 2*t**4.
2*t**2*(t + 1)*(3*t - 2)**2/3
Factor -15/2*n**2 + 5/2*n**3 + 0 - 45*n.
5*n*(n - 6)*(n + 3)/2
Let j(s) be the third derivative of s**5/30 - 11*s**4/12 + 8*s**3 + 171*s**2. Find o such that j(o) = 0.
3, 8
Let f(a) be the third derivative of -a**8/392 + a**7/105 - a**6/84 + a**5/210 - 36*a**2 + a. Let f(h) = 0. Calculate h.
0, 1/3, 1
Let y(m) be the third derivative of 4*m**2 + 0*m + 0*m**3 + 1/315*m**7 + 11/90*m**5 - 3 - 7/180*m**6 - 5/36*m**4. Factor y(v).
2*v*(v - 5)*(v - 1)**2/3
Let g be (-2)/(-6)*6 - (-158)/(-80). Let a(v) be the first derivative of 0*v + 0*v**2 + g*v**5 + 1/16*v**4 + 0*v**3 + 10. Factor a(y).
y**3*(y + 2)/8
Let y = -169/30 + 527/90. Suppose -14/9*n**3 + 22/9*n**2 + 0 + y*n**4 - 10/9*n = 0. Calculate n.
0, 1, 5
Let b(q) = -q**2 + 5*q. Let g be b(4). Suppose -4*m**3 + 0*m**2 + 2*m**g + 10*m**2 - 10*m**2 = 0. Calculate m.
0, 2
Suppose 3 = 8*z - 7*z. Suppose 0 = -5*d + 2*l - 2, z*d + 5*l = l + 4. Factor d - c - 1/3*c**2.
-c*(c + 3)/3
Determine m so that -3/2*m**4 - 1/6*m**5 + 7/2*m**2 + 28/3*m - 8 - 19/6*m**3 = 0.
-4, -3, 1
Let h(m) be the third derivative of -m**8/336 + 13*m**7/140 + 23*m**6/240 - 59*m**5/120 - 7*m**4/16 + 5*m**3/3 - 19*m**2 - 9. Suppose h(u) = 0. Calculate u.
-1, 1/2, 1, 20
Suppose 0*i = 5*i - 5. Let m(v) = -v**2 + 1. Let b(d) be the second derivative of d**4/6 - d**3/6 - d**2/2 - d. Let n(r) = i*b(r) + 3*m(r). Factor n(x).
-(x - 1)*(x + 2)
Suppose 4*l - 37 = 5*o, -3*l + 4*o = o - 27. Determine h, given that -h**4 + 4*h**5 + h**4 - l*h**4 = 0.
0, 2
Let o be 6/(-135)*-10 + 4/(-18). Let c be 0*6*(13/6 - 2). Factor c + 4/9*x - o*x**2.
-2*x*(x - 2)/9
Solve -56/3*n**4 - 2*n**5 + 50/3*n + 0 - 36*n**3 + 40*n**2 = 0 for n.
-5, -1/3, 0, 1
Let h(z) be the second derivative of 1/10*z**6 + 0*z**3 + 0*z**2 + 0 - 1/4*z**4 + 27*z - 3/20*z**5 + 1/14*z**7. Let h(r) = 0. What is r?
-1, 0, 1
Suppose 4*n = 2*z + 10, z + 3*n = 2*n + 7. Find m, given that 3*m**4 - 12825 - 12*m**2 - 9*m**z + 12825 = 0.
-1, 0, 4
Let v(j) = 2*j**2 - j - 3. Let u(d) = 11*d**2 - 6*d - 17. Let g(p) = -2*u(p) + 10*v(p). Solve g(x) = 0.
-1, 2
Let c(w) be the first derivative of 0*w + 10/3*w**3 - 1 + 0*w**2 + 5/8*w**4. Factor c(d).
5*d**2*(d + 4)/2
Let p(s) be the second derivative of -s**4/6 + s**2 - 136*s. Factor p(k).
-2*(k - 1)*(k + 1)
Let v = -32 + 34. Determine n, given that 2*n**4 - v*n**3 + 2*n**5 - 2*n**2 + 14*n - 12*n - 2*n = 0.
-1, 0, 1
Suppose 39 - 63 = 6*f. Let q(i) = 3*i**2 - 2*i + 9. Let g(m) = -8 + m**2 + 2*m + 0*m - 3*m**2. Let h(x) = f*q(x) - 5*g(x). Solve h(r) = 0 for r.
-2, 1
Let t(w) be the second derivative of 1/2*w**2 - 1/5*w**4 - 1/20*w**5 + 0 + 2/5*w**3 - 3*w. Let n(s) be the first derivative of t(s). Solve n(m) = 0 for m.
-2, 2/5
Let s(m) be the first derivative of -4*m**5/45 - m**4/3 + 4*m**3/9 + 14*m**2/9 - 8*m/3 - 151. Let s(l) = 0. What is l?
-3, -2, 1
Let u = 569/1379 + -25/197. Factor 16/7 - u*p**3 + 2/7*p - 16/7*p**2.
-2*(p - 1)*(p + 1)*(p + 8)/7
Let i(d) = -d**2 + 3*d - 4. Let q be i(4). Let m = 10 + q. Factor -2*s + m*s**3 + 2 - 4 + 4*s**2 - 2 + 0.
2*(s - 1)*(s + 1)*(s + 2)
Suppose -5*r + 81 - 21 = 0. Let m be (-9)/r + -2 + (-162)/(-56). Suppose -1/7*i**3 + 2/7*i + 0 - m*i**2 = 0. Calculate i.
-2, 0, 1
Suppose 4/5*s**2 - 2*s**4 + 3/5*s**5 + 7/5*s**3 + 0 - 4/5*s = 0. Calculate s.
-2/3, 0, 1, 2
Let d be 180/200*16/36. Factor d*w**2 + 0 - 3/5*w + 1/5*w**3.
w*(w - 1)*(w + 3)/5
Let r(t) be the second derivative of -9*t + 1/5*t**2 + 0 - 1/10*t**3 + 1/30*t**6 - 7/60*t**4 + 3/100*t**5. Find p such that r(p) = 0.
-1, 2/5, 1
Factor 2/9*p**4 + 104/9*p - 56/9 - 6*p**2 + 4/9*p**3.
2*(p - 2)**2*(p - 1)*(p + 7)/9
Let t(i) be the third derivative of i**7/630 - i**6/72 - 7*i**5/180 + 5*i**4/72 + i**3/3 + 6*i**2. Suppose t(p) = 0. Calculate p.
-1, 1, 6
Factor -6*q + 0 - 1/2*q**2.
-q*(q + 12)/2
Find u, given that -1/6*u**3 - 128*u + 2048/3 + 8*u**2 = 0.
16
Let j = -285 - -1711/6. Let q(t) be the second derivative of 1/72*t**4 - 9*t + 0 - j*t**2 + 1/36*t**3. Determine d, given that q(d) = 0.
-2, 1
Let v(w) be the second derivative of -w**6/120 - w**5/30 + w**4/24 + w**3/3 + 3*w**2/2 + 27*w. Let h(a) be the first derivative of v(a). Factor h(n).
-(n - 1)*(n + 1)*(n + 2)
Let i(k) be the first derivative of -14*k**5/5 - 15*k**4 - 674*k**3/21 - 240*k**2/7 - 128*k/7 + 41. Factor i(u).
-2*(u + 1)**2*(7*u + 8)**2/7
Factor -416/5 + 256/5*c**3 - 688/5*c**2 + 864/5*c + 2/5*c**5 - 42/5*c**4.
2*(c - 13)*(c - 2)**4/5
Let u = 1274/3537 - -4/393. Let j = 38/189 + u. Factor -2/7*i**3 + 0 - 2/7*i - j*i**2.
-2*i*(i + 1)**2/7
Let -7*y**3 + 32*y**3 - 3*y**3 - 5*y**4 + 25*y + 45*y**2 - 7*y**3 = 0. What is y?
-1, 0, 5
Find c such that -c**5 - 298*c - 40 + 8*c**4 - 22*c**2 - 337*c + 23*c**3 + 559*c = 0.
-2, -1, 2, 10
Determine y, given that 34/3*y**2 - 20*y - 2/3*y**3 + 0 = 0.
0, 2, 15
Let c(l) be the third derivative of -l**7/1050 + l**6/150 + 7*l**5/300 - l**4/12 + 70*l**2 + 2*l. Factor c(z).
-z*(z - 5)*(z - 1)*(z + 2)/5
Let q(r) be the second derivative of 9*r**5/20 - 5*r**4/3 + 2*r**3/3 + 12*r - 4. Let q(d) = 0. Calculate d.
0, 2/9, 2
Let a be (((-147)/14)/(-7))/(9/12). Let w(h) be the first derivative of -4/3*h + 4/3*h**a + 7 + 5/9*h**3. Suppose w(n) = 0. What is n?
-2, 2/5
Let l(c) be the first derivative of -3*c**4/20 + c**3 - 12*c**2/5 + 12*c/5 - 131. Factor l(j).
-3*(j - 2)**2*(j - 1)/5
Let g(f) be the second derivative of 1/2*f**3 - 30*f + 3/20*f**5 + 0*f**2 + 1/2*f**4 + 0. Find x, given that g(x) = 0.
-1, 0
Let a(h) = -3*h**2 + 109*h - 788. Let w be a(10). Factor -12/7 - 4/7*f**w + 2*f.
-2*(f - 2)*(2*f - 3)/7
Let f(o) = -o**2 - o + 81. Let w be f(-9). Suppose -w*c = -10*c + 2. Let 2/7*b**c + 2/7*b**3 + 0*b + 0 = 0. What is b?
-1, 0
Factor 24 + 20*x - 41*x**2 + 7*x**2 + 38*x**2.
4*(x + 2)*(x + 3)
Let g(v) = v**2 + 3*v - 16. Let r be g(-7). Suppose 0 = -3*t + 21 - r. Factor -7*p + 7*p + t*p**2 - 6*p**2 - p**3.
-p**2*(p + 3)
Suppose 5 - 8 = a. Let p = 0 - a. Find k such that -4*k**3 + 0*k**2 + 0*k**p - 2*k**4 - 2*k**2 = 0.
-1, 0
Let c be 45/(-55) + (1 - 0). Suppose 12/11 - 2/11*j**2 - c*j = 0. What is j?
-3, 2
Let v(a) be the third derivative of 1/540*a**5 + 1/27*a**4 + 0 - 12*a**2 + 8/27*a**3 + 0*a. Factor v(g).
(g + 4)**2/9
Let c(s) be the first derivative of 2*s**3/3 - 16*s**2 - 34*s + 589. Factor c(b).
2*(b - 17)*(b + 1)
Let x(l) be the third derivative of -l**5/30 - 5*l**4/12 - l**3/3 + 13*l**2. Let s be x(-4). Factor -5*c**2 + 0*c**2 + 0*c**2 + s*c**3 - 5*c**2 - 4*