(m - 2)*(7*m - 2)
Let t be ((-65)/312)/(1/(-4))*(-32)/(-80). Let y(g) be the second derivative of -1/2*g**3 - 1/12*g**5 + 1/3*g**2 + t*g**4 + 0 + 9*g. Factor y(z).
-(z - 1)**2*(5*z - 2)/3
Let 88*p + 2/7*p**2 - 1240/7 = 0. What is p?
-310, 2
Suppose -5 = 5*c, -3*c - 66 = -4*s - c. Find a such that 51*a**4 - 3*a**3 - s*a**4 - 20*a**4 - 14*a**4 = 0.
0, 3
Let j(x) be the first derivative of 89 + 0*x + 8/5*x**2 - 4/5*x**4 - 2/15*x**3 + 2/25*x**5. Let j(q) = 0. What is q?
-1, 0, 1, 8
Let k be 9/6 + (-1558)/1140. Let l(n) be the second derivative of -2/3*n**4 + 23*n + 0*n**2 + 3/5*n**5 - k*n**6 + 0 + 0*n**3. Factor l(q).
-4*q**2*(q - 2)*(q - 1)
Let j(f) be the first derivative of -5*f**3/3 + 3045*f**2 - 1854405*f + 2652. Factor j(n).
-5*(n - 609)**2
Let k(z) be the third derivative of -z**7/168 + 77*z**6/96 - 213*z**5/16 + 3105*z**4/32 - 765*z**3/2 - 4448*z**2. Find l such that k(l) = 0.
3, 68
Let c(n) be the first derivative of n**5/10 - n**4/4 - 13*n**3/6 - 5*n**2/2 + 4588. Factor c(l).
l*(l - 5)*(l + 1)*(l + 2)/2
Suppose 4*n + 45 - 61 = 0. Factor -2*q**4 + 3*q**5 - 9 + 4*q**n - 18*q**3 - 221*q + 188*q - 42*q**2 + q**4.
3*(q - 3)*(q + 1)**4
Solve 29*t + 21*t - 14*t**2 + 100*t**3 - 22*t**2 - 19*t**2 - 95*t**3 = 0 for t.
0, 1, 10
Let u(n) = -8*n**2 + 6*n - 6. Let z be u(2). Let b = z + 30. Solve 15*m - 3*m - 15*m**3 + 4*m**b + m**4 + 8*m = 0 for m.
-1, 0, 2
Let p(u) be the second derivative of -u**5/240 - 7*u**4/24 - 49*u**3/6 + 61*u**2/2 + 70*u. Let v(n) be the first derivative of p(n). Solve v(s) = 0 for s.
-14
Suppose -76/7*t - 2/7*t**4 + 150/7*t**2 - 72/7*t**3 + 0 = 0. What is t?
-38, 0, 1
Let o = 2115 - 2113. Let q(u) be the second derivative of 0*u**2 - o*u + 1/16*u**4 + 1/4*u**3 + 0 - 1/40*u**6 - 3/40*u**5. What is a in q(a) = 0?
-2, -1, 0, 1
Let y(c) = 42*c**3 - 450*c**2 + 5280*c - 4840. Suppose 17*d - 167 = 105. Let b(a) = 8*a**3 - 90*a**2 + 1056*a - 968. Let q(m) = d*b(m) - 3*y(m). Factor q(p).
2*(p - 22)**2*(p - 1)
Let d(u) be the third derivative of -u**8/30240 - u**7/3780 + u**6/135 + 23*u**5/60 - u**2 - 39. Let p(l) be the third derivative of d(l). Factor p(s).
-2*(s - 2)*(s + 4)/3
Solve 17/2*y**2 + 7/2*y**4 + 1/2*y**5 + 17/2*y**3 + 3*y + 0 = 0 for y.
-3, -2, -1, 0
Let w(t) = -20*t**2 + 2251*t + 1035. Let k be w(113). Suppose k*z**2 - 18*z**4 + 0 + 6*z - 15/2*z**5 + 3/2*z**3 = 0. Calculate z.
-2, -1, -2/5, 0, 1
Let n(g) be the second derivative of -g**6/90 - 19*g**5/60 - 11*g**4/4 - 9*g**3/2 - 36*g. Solve n(s) = 0 for s.
-9, -1, 0
Let k = 4842 + -4837. Let x(i) be the second derivative of 0*i**2 - 7/80*i**k + 5/48*i**4 - 1/24*i**3 + 0 + 1/40*i**6 + 32*i. Suppose x(v) = 0. Calculate v.
0, 1/3, 1
Let 469/2*h**2 + 14 + 70*h**4 - 911/4*h**3 + 25/4*h**5 - 97*h = 0. Calculate h.
-14, 2/5, 1
Let y(w) = 5*w + 59. Let b be y(-10). Suppose 0 = -12*f + b*f - 3, -5*a + 35 = 5*f. Find u such that 2*u**2 - a*u**2 + 7*u**2 - 3*u = 0.
0, 3
Let f(r) = -2*r**3 - 42*r**2 + 24*r - 24. Let j(i) = 2*i**2 - i + 1. Suppose -3*n = 4*t - 5*t - 130, -n + 3*t = -38. Let d(u) = n*j(u) + 2*f(u). Factor d(z).
-4*(z - 1)**2*(z + 1)
Let z(t) = -7*t**2 + 8 + t + 0*t**3 + 9*t**2 - t**3 + 6*t. Let w be z(4). Suppose -3*g**2 - 2*g**3 + 2*g - 680*g**4 - w*g**2 + 687*g**4 = 0. Calculate g.
-1, 0, 2/7, 1
Let i = 926202 - 4630998/5. Suppose -12/5*p**2 - 22/5*p - 2/5*p**3 - i = 0. Calculate p.
-3, -2, -1
Suppose -24*t + 9966 = -2*t. Let n = 455 - t. Factor 4/5 - 4/5*a**n + 0*a**4 + 6/5*a - 8/5*a**3 + 2/5*a**5.
2*(a - 2)*(a - 1)*(a + 1)**3/5
Suppose -10*t + 12*t - 4 = 0. Suppose 3089 = 3*p + t*o, -4*p = 3*o - 0*o - 4119. Solve -p*b**4 + 362*b**2 + 147*b**3 + 24 - 37*b + 265*b + 268*b**2 = 0.
-2/7, 1
Let s be (75/20)/(12/16). Suppose s*p = 3*w, 5*p + 0*p - 15 = 0. Factor 5 + 3*k**2 + 11*k - 2*k**2 - w*k.
(k + 1)*(k + 5)
Let s = 1415 + -1396. Let l = -11 + 47. Let -8*u**4 + 46*u**3 - l*u**2 + u - 4 + s*u - 18*u**3 = 0. Calculate u.
1/2, 1
Let y(k) be the first derivative of 4/3*k**3 + 208*k**2 + 53 + 10816*k. Suppose y(x) = 0. What is x?
-52
Let s(o) be the first derivative of -o**4/2 + 6*o**3 + 40*o**2 - 96*o - 1503. Factor s(t).
-2*(t - 12)*(t - 1)*(t + 4)
Solve -7/3*c - 2 - 1/3*c**2 = 0 for c.
-6, -1
Let -342/11*i + 8/11*i**4 - 72/11*i**2 + 0 + 38/11*i**3 = 0. Calculate i.
-19/4, -3, 0, 3
Let q(c) be the third derivative of c**6/180 + c**5/270 - c**4/54 + 527*c**2. Determine o, given that q(o) = 0.
-1, 0, 2/3
Find x such that 8/9*x - 2/9*x**3 - 16/3 + 20/9*x**2 - 2/9*x**4 = 0.
-3, -2, 2
Let g(r) = 2*r**2 + 57*r + 2182. Let q(h) = -4*h**2 - 56*h - 2184. Let j(n) = -4*g(n) - 3*q(n). Find x, given that j(x) = 0.
-17, 32
Let s(k) be the third derivative of -k**6/200 - 44*k**5/25 - 521*k**4/40 - 173*k**3/5 - 3356*k**2 - 1. Factor s(o).
-3*(o + 1)*(o + 2)*(o + 173)/5
Let v(t) = 2*t**2 - 2*t - 2. Let i(m) = -m**3 + 24*m**2 - 29*m - 102. Let b(r) = -i(r) + 6*v(r). Let b(o) = 0. What is o?
-2, 5, 9
Let d be 4/(-28)*1944/(-1 - 11). Factor -2/7*k**2 + 36/7*k - d.
-2*(k - 9)**2/7
Let l(o) = -9806*o**2 - 9261*o - 2169. Let k(c) = -58834*c**2 - 55559*c - 13017. Let g(d) = -6*k(d) + 34*l(d). Factor g(s).
4*(70*s + 33)**2
Let x(j) = -4*j**3 + 46*j**2 - 80*j - 10. Let o(r) = 13*r**3 - 138*r**2 + 238*r + 35. Let v(d) = -2*o(d) - 7*x(d). Determine k, given that v(k) = 0.
0, 2, 21
Suppose -134 = -303*f + 236*f. Factor 0*a + 2/11*a**4 + 0 - 2/11*a**3 + 0*a**f.
2*a**3*(a - 1)/11
Let z be (-24)/(-15)*-2*15/(-12). Solve -16*y**2 - 4*y**4 - 2*y**5 + 4*y**z + 30*y**3 - 12*y**4 = 0 for y.
-8, 0, 1
Let a(q) be the third derivative of -q**7/630 + 19*q**6/60 - 74*q**5/3 + 31487*q**4/36 - 50653*q**3/6 + 51*q**2 - 26*q. Suppose a(f) = 0. What is f?
3, 37
Let l(m) be the third derivative of m**7/20 - 3*m**6/80 + 933*m**2. Determine v, given that l(v) = 0.
0, 3/7
Let h(q) be the third derivative of -q**5/150 - 7*q**4/15 - 49*q**3/5 + 176*q**2. Determine a so that h(a) = 0.
-21, -7
Let g(h) be the second derivative of h + 1/7*h**3 - 1/2*h**2 + 3 + 1/84*h**4. Factor g(q).
(q - 1)*(q + 7)/7
Suppose d - i - 111 = 0, 0 = -3*d + 4*d - 2*i - 110. Let 4*j**2 + 13*j + d + 212 + 35*j + 24*j = 0. Calculate j.
-9
Let n(c) be the third derivative of 1/210*c**7 + 1/24*c**4 - 7/60*c**5 - 1/120*c**6 + 105*c**2 + 0*c + 0 + c**3. Suppose n(l) = 0. What is l?
-2, -1, 1, 3
Suppose 42 = -61*f + 63*f - 5*m, -2*f - 5*m + 22 = 0. Determine q, given that -4/7*q**4 - 4/7*q**3 + 64/7 + 48/7*q**2 + f*q = 0.
-2, -1, 4
Let h(f) = f**2 - 5*f + 11. Let b be h(-4). Suppose b*p + 1 = 1. Suppose -24/11*j**3 - 6/11*j + 36/11*j**2 + p + 30/11*j**5 - 36/11*j**4 = 0. What is j?
-1, 0, 1/5, 1
Let y(q) = -20*q**2 - 43*q + 58. Let r(b) = -80*b**2 - 85*b + 115. Let u(k) = 3*r(k) - 5*y(k). Factor u(w).
-5*(2*w - 1)*(14*w + 11)
Let d(y) be the first derivative of -2*y**5/5 + 39*y**4/2 + 254*y**3/3 - 39*y**2 - 252*y - 2156. Solve d(v) = 0.
-3, -1, 1, 42
Let y(b) be the second derivative of -1/48*b**4 + 1/3*b**3 + 0 - 97*b + 0*b**2. Factor y(r).
-r*(r - 8)/4
Determine w, given that 0*w**3 + 90*w + 71/3*w**2 + 200/3 - 1/3*w**4 = 0.
-5, -4, -1, 10
Let d(u) be the first derivative of 0*u + 112/3*u**3 + 4*u**4 + 64*u**2 + 97 - 4/5*u**5. Factor d(p).
-4*p*(p - 8)*(p + 2)**2
Suppose 912 - 3*c**2 + 337605*c - 168551*c - 168604*c = 0. Calculate c.
-2, 152
Let r be (8*(-48)/896)/(5/(-35)). Factor 114/7*k + 32*k**2 + 18/7 + 128/7*k**r.
2*(k + 1)*(8*k + 3)**2/7
Let o(b) be the first derivative of -b**6/280 + 3*b**5/140 + 3*b**4/28 - 4*b**3/7 + 5*b**2/2 - 2*b + 25. Let q(j) be the second derivative of o(j). Factor q(m).
-3*(m - 4)*(m - 1)*(m + 2)/7
Let m(j) be the first derivative of -j**6/18 - 19*j**5/3 - 495*j**4/2 - 29120*j**3/9 + 25600*j**2/3 + 65536*j - 12965. Factor m(i).
-(i - 3)*(i + 2)*(i + 32)**3/3
Suppose f + 32 = 3*v + 3*f, -4*v = -4*f - 56. Let t be (-2)/3 + (-2)/(v/(-3886)). Factor -2*c**2 - 90 - 110 - t*c + 607*c.
-2*(c + 10)**2
Factor 192 + 387/4*k + 3/8*k**2.
3*(k + 2)*(k + 256)/8
Suppose -r - 3*u + 10 = 0, -70*r - 7*u = -74*r + 2. Factor 1/3*j**r + 2/3*j**3 - 1/3*j**2 - 2/3*j + 0.
j*(j - 1)*(j + 1)*(j + 2)/3
Find u such that -4*u**2 + 1304 - 5860/3*u = 0.
-489, 2/3
Suppose 50*d = b + 47*d - 575, 0 = -d - 3. Let z = b + -1129/2. Let -9/2*t**4 + 0 + 0*t - 3*t**3 + 0*t**2 - z*t**5 = 0. Calculate t.
-2, -1, 0
Let n(g) be the third derivative of g**7/