v?
-2, -1, 1
Solve -2/7*d**3 + 0 + 10/7*d**2 - 12/7*d = 0.
0, 2, 3
Let x(j) be the third derivative of 1/560*j**8 + 0*j**3 + 0*j - 3/200*j**6 + 0*j**7 - 1/50*j**5 + 0 + j**2 + 0*j**4. Suppose x(w) = 0. What is w?
-1, 0, 2
Factor -62*s**3 + 13*s**2 - 4096 - 2*s**4 + 5888*s + 15*s**3 - 422*s**2 - 75*s**3 - 1259*s**2.
-2*(s - 2)*(s - 1)*(s + 32)**2
Let f(j) be the second derivative of j**5/60 + 5*j**4/24 + 2*j**3/3 + 4*j**2 + 12*j. Let r(y) be the first derivative of f(y). Factor r(t).
(t + 1)*(t + 4)
Let s(z) be the first derivative of -4*z**3/15 - 564*z**2/5 - 79524*z/5 + 171. Let s(i) = 0. What is i?
-141
Let a(k) be the first derivative of k**4/4 - 8*k**2 + 266. Solve a(i) = 0 for i.
-4, 0, 4
Let f be 9*2/12*2. Let t be f*35/(-42)*6/(-35). Find u, given that 0 - t*u**3 + 6/7*u**4 - 6/7*u**2 + 3/7*u = 0.
-1, 0, 1/2, 1
Let z = -24 + 26. Suppose 7*p**2 - 2*p**z - 7*p**2 + 8 = 0. What is p?
-2, 2
Let q be ((-6)/(-4))/(8 - (-667)/(-92)). Factor 2/9*d**q - 2/9*d**3 + 2*d - 2.
-2*(d - 3)*(d - 1)*(d + 3)/9
Let i(f) be the third derivative of 7*f**6/10 + 17*f**5/15 + f**4/3 + 2*f**2 - 8*f. Factor i(p).
4*p*(3*p + 2)*(7*p + 1)
Let k(r) be the third derivative of -r**8/8960 - r**7/1680 + r**6/48 - 3*r**5/20 + 9*r**4/8 - 7*r**2. Let z(y) be the second derivative of k(y). Factor z(x).
-3*(x - 2)**2*(x + 6)/4
Let t(b) = -b**3 - 79*b**2 + 155*b - 75. Let a(m) = -10*m**3 - 710*m**2 + 1395*m - 675. Let s(h) = -6*a(h) + 55*t(h). Factor s(v).
5*(v - 15)*(v - 1)**2
Let z be 30*(-2)/(-12) + (-8)/(-3)*-1. Suppose z*m**2 - 5*m - 1/3*m**3 + 3 = 0. What is m?
1, 3
Let s(v) = -2*v - 22. Let q be s(-11). Suppose -i + 0*i + 2*i**2 - i + q*i = 0. Calculate i.
0, 1
Let w(k) be the second derivative of k**7/14 + 13*k**6/30 + 19*k**5/20 + 11*k**4/12 + k**3/3 - 13*k - 1. Factor w(h).
h*(h + 1)**2*(h + 2)*(3*h + 1)
Let p = 92 - 88. Let x = p + -2. Factor 4/5 + 12/5*n + 9/5*n**x.
(3*n + 2)**2/5
Let p be -35*36/882 - -2. Factor -2/21*h - p*h**3 - 2/21*h**5 - 8/21*h**2 + 0 - 8/21*h**4.
-2*h*(h + 1)**4/21
Let w(d) be the second derivative of -17*d + 1/18*d**4 - 1/9*d**3 - 1/3*d**2 + 1/30*d**5 + 0. Let w(c) = 0. Calculate c.
-1, 1
Let h(w) be the third derivative of w**6/1020 - 93*w**5/170 + 1610*w**4/17 + 19600*w**3/51 + 535*w**2. Solve h(p) = 0.
-1, 140
Factor 12/5 + 1/10*k**5 - 2*k + 21/10*k**3 - 4/5*k**4 - 7/5*k**2.
(k - 3)*(k - 2)**3*(k + 1)/10
Suppose -30 = -2*o - 3*h, 7*o + 3*h - 39 = 4*o. Suppose 0 = 2*d + 4*s + 6, d - 3*s - o = -2. Factor -2 - 2*b**2 - d + b**2 + 2 + 2*b.
-(b - 1)**2
Let i(l) be the first derivative of -l**6/180 - l**5/30 - l**4/12 - 8*l**3 - 13. Let p(z) be the third derivative of i(z). Determine j, given that p(j) = 0.
-1
Suppose n**2 + 12*n - 2*n**2 - 3*n**2 + n**2 + 0*n**2 = 0. What is n?
0, 4
Let m(v) = -4*v - 112. Let y be m(-32). Let x be (1 + 0)*y/36. Factor -2/9 - 2/3*g + 2/3*g**4 + 2/9*g**5 - 4/9*g**2 + x*g**3.
2*(g - 1)*(g + 1)**4/9
Let g be 2/(-14) + 33/231. Let r(d) be the third derivative of 0 + 1/90*d**5 - 1/315*d**7 + g*d**6 + 0*d**4 + 0*d + 0*d**3 - 3*d**2. Factor r(y).
-2*y**2*(y - 1)*(y + 1)/3
Let n(b) be the first derivative of -15 - 6*b**2 - 8*b + 80/3*b**3. Solve n(r) = 0.
-1/4, 2/5
Let n(s) be the third derivative of -5*s**8/336 + 11*s**7/42 - 23*s**6/12 + 23*s**5/3 - 55*s**4/3 + 80*s**3/3 - 24*s**2. Factor n(p).
-5*(p - 4)*(p - 2)**3*(p - 1)
Factor -39*m**4 - 6*m**3 + 3*m**3 - 16*m**3 + 43*m**4 + 64 - 17*m**3 - 144*m + 112*m**2.
4*(m - 4)*(m - 2)**2*(m - 1)
Let n(d) be the first derivative of d**4/12 - 14*d**3/27 + 13*d**2/18 + 2*d/3 + 145. Factor n(h).
(h - 3)*(h - 2)*(3*h + 1)/9
Let b(t) be the second derivative of -5*t**9/18144 - t**8/2016 - 2*t**3 + 4*t. Let v(k) be the second derivative of b(k). Solve v(p) = 0 for p.
-1, 0
Let l(u) = 7*u**3 + 29*u**2 + 19*u + 3. Let t(m) = -16 + 63*m**3 - 99*m**3 - 144*m**2 - 80*m - 16*m. Let o(g) = 14*l(g) + 3*t(g). Factor o(c).
-2*(c + 1)**2*(5*c + 3)
Let r be (-13)/(-3) - (168/(-8))/(-63). Solve 4/3*y**3 + 0 + 8/3*y**2 - r*y = 0 for y.
-3, 0, 1
Let i(b) be the second derivative of -1/6*b**4 + 0*b**3 + 6*b + 0 + 4*b**2 - 1/10*b**5 + 1/12*b**6. Let c(o) be the first derivative of i(o). Factor c(z).
2*z*(z - 1)*(5*z + 2)
Let -12*j**3 + 28 + 12*j - 20*j**2 + 13 - 25 + 4*j**4 = 0. What is j?
-1, 1, 4
Suppose -2*f = -7*f + 15. Let d be (-7 - -8) + f/(-5). Solve -1/5*p**3 + 1/5*p - 2/5*p**2 + d = 0 for p.
-2, -1, 1
Find w, given that -704 - 12*w**2 + 704 + 4*w**3 = 0.
0, 3
Let u(m) be the second derivative of -m**7/105 + 11*m**6/25 + 3*m**5/25 - 103*m**4/15 + 89*m**3/5 - 99*m**2/5 - 137*m. Solve u(h) = 0 for h.
-3, 1, 33
Let m(z) be the second derivative of 7*z**6/60 + z**5/8 - 3*z**4/8 - 5*z**3/12 + z**2/2 - 3*z + 13. Factor m(r).
(r - 1)*(r + 1)**2*(7*r - 2)/2
Let c = 2/473 - -463/2365. Determine t so that c*t**5 + 0*t + 4/5*t**2 + 0 + 0*t**3 - 3/5*t**4 = 0.
-1, 0, 2
Factor 5*z**4 - 972*z + 289*z**2 - 396 + 1530*z**3 + 20*z**4 + 640.
(z + 1)*(z + 61)*(5*z - 2)**2
Factor 0*m - 1/8*m**2 + 0 - 1/2*m**4 - 5/8*m**3.
-m**2*(m + 1)*(4*m + 1)/8
Let k = 5496 - 10967/2. Factor k + 5*t + 1/2*t**2.
(t + 5)**2/2
Let u(p) be the first derivative of -3*p**2 + 4*p - 6 - 4*p + 3*p + p**3. Factor u(c).
3*(c - 1)**2
Let k(f) be the third derivative of -7*f**8/216 + f**7/45 + 2*f**6/45 + 2*f**5/135 + 30*f**2 + 2*f. Determine t so that k(t) = 0.
-2/7, 0, 1
Factor -224*f + 33*f**2 + 158 + 10 - 309*f + 119*f + 48.
3*(f - 12)*(11*f - 6)
Suppose 0*s**2 + 135/2*s - 5/2*s**3 - 135 = 0. Calculate s.
-6, 3
Let h(t) = -31*t**3 + 120*t**2 + 193*t + 47. Let w(j) = 2*j**3 - 2*j - 1. Let c(y) = h(y) + 5*w(y). Factor c(b).
-3*(b - 7)*(b + 1)*(7*b + 2)
Let q(i) be the third derivative of -i**7/945 - 5*i**6/108 - 187*i**5/270 - 121*i**4/36 + 383*i**2. Factor q(a).
-2*a*(a + 3)*(a + 11)**2/9
Let l(p) = -12*p**2 + 6*p + 21. Let a(x) = x**2 - x - 1. Suppose -4*r - 6*t + 56 = -2*t, -2*t - 47 = -3*r. Let w(g) = r*a(g) + l(g). Factor w(s).
3*(s - 2)*(s - 1)
Let n be 6/27 + (-32)/(-18). Suppose -5*p = -2*w - 16 - 3, 3*w - 5*p = -16. Factor 0*y - 2*y**w + n*y**2 + y - y + 2*y - 2.
-2*(y - 1)**2*(y + 1)
Let r(a) be the second derivative of 1/4*a**5 + 5/6*a**3 + 0 - 5/6*a**4 + 6*a + 0*a**2. Factor r(p).
5*p*(p - 1)**2
Let v = -14 + -134. Let l = -1032/7 - v. Suppose 2/7*a**4 + 0 + 10/7*a**2 - l*a - 8/7*a**3 = 0. Calculate a.
0, 1, 2
Let n(j) be the first derivative of j**3/24 + 25*j**2/8 + 12*j - 786. Factor n(o).
(o + 2)*(o + 48)/8
Let x = -53 - -55. Solve -7*n**4 - 2*n**x - 5*n**3 + 5*n**4 + 9*n**3 = 0 for n.
0, 1
Let g(i) be the second derivative of i**6/3960 + i**5/660 + 55*i**3/6 - 29*i. Let k(d) be the second derivative of g(d). Factor k(c).
c*(c + 2)/11
Let d(s) = 3*s**2 - 32*s + 108. Let o be (0 - -1) + 7/((-14)/(-6)). Let h(f) = -9*f**2 + 97*f - 324. Let y(r) = o*h(r) + 11*d(r). Let y(k) = 0. Calculate k.
6
Let i be ((-738)/(-861))/((-3)/7) + (-46)/(-15). Suppose 0 + i*j**3 - 2/3*j**5 + 8/15*j**2 - 14/15*j**4 + 0*j = 0. What is j?
-2, -2/5, 0, 1
Let i(z) be the third derivative of z**8/3528 - z**7/2205 - z**6/630 - 2*z**2 - 240*z. Factor i(m).
2*m**3*(m - 2)*(m + 1)/21
Factor 0*x + 9/5*x**3 - 6/5*x**2 - 3/5*x**4 + 0.
-3*x**2*(x - 2)*(x - 1)/5
Let g be 0/151 - -2*1/(21/6). Factor -g*i**2 + 2/7*i**4 + 2/7 + 2/7*i - 4/7*i**3 + 2/7*i**5.
2*(i - 1)**2*(i + 1)**3/7
Let k(p) = -2*p**4 + 11*p**3 - 28*p**2 + 13*p - 3. Let x(t) = -2*t**4 + t**3 - t - 1. Let q(d) = -k(d) + 3*x(d). Find w such that q(w) = 0.
-4, 0, 1
Let v(j) be the second derivative of j**7/28 - j**6/5 - 3*j**5/8 - 245*j. Factor v(q).
3*q**3*(q - 5)*(q + 1)/2
What is m in 0 + 1/4*m**2 - 3/2*m = 0?
0, 6
What is s in 1/10*s**2 + 9/10 + s = 0?
-9, -1
Let z = -197/115 - -44/23. Let v(u) be the first derivative of 7 + 4/3*u**3 - z*u**5 + 0*u - 1/4*u**4 + 2*u**2. Solve v(c) = 0.
-2, -1, 0, 2
Suppose 0 = 2829*v - 2810*v. Solve -2/7*i**2 - 2/7*i + 2/7*i**3 + 2/7*i**4 + v = 0 for i.
-1, 0, 1
Determine c, given that 2/3*c**2 - 8/9 + 1/9*c**3 - 4/9*c - 1/9*c**4 = 0.
-2, -1, 2
Let o be (-36)/204 + 2155/170. Factor 1/2*n**4 + 5*n**3 + 0 + o*n**2 + 0*n.
n**2*(n + 5)**2/2
Let g = -2/8519 - -17044/25557. Let -g*d + 2/3 - 1/2*d**2 = 0. Calculate d.
-2, 2/3
Factor z**2 - 169*z**4 - 4*z**3 - 6*z**3 - 2*z**5 - 5*z**2 + 161*z**4.
-2*z**2*(z + 1)**2*(z + 2)
Suppose -20*b + 522 = -14*b. Factor 