47)*(3*z + 1)/2
Let u(v) = -v**3 - 36*v**2 - 196*v + 49. Let l be u(-7). Factor l - 4/9*i - 2/9*i**2 + 2/9*i**3.
2*i*(i - 2)*(i + 1)/9
Let q be -2 + 13/6 - (-237)/158. Find m, given that 0 + q*m**2 + 40/3*m = 0.
-8, 0
Let k(y) be the second derivative of 7*y**5/45 - 160*y**4/27 + 88*y**3/9 + 889*y. Solve k(x) = 0.
0, 6/7, 22
Let m(h) = 2*h**3 + 51*h**2 + 69*h + 1104. Let z be m(-25). Determine a so that -8/3 - 4*a**2 - 26/3*a + 5/6*a**z + 17/6*a**3 = 0.
-4, -1, -2/5, 2
Suppose -96 = -13*h + 7*h. What is x in 4*x**4 - 20*x**3 - h*x - 5*x**2 + 7*x**2 + 30*x**2 = 0?
0, 1, 2
Let r(d) = d**3 + d**2 + 1. Let a(w) = 18*w**3 - 1079 - 15*w + 1076 - 7*w**2 - 2*w**2. Let q(b) = -a(b) - 3*r(b). Let q(v) = 0. Calculate v.
-5/7, 0, 1
Let t(d) be the second derivative of 18/5*d**5 - 8/3*d**4 + 49*d - 8/3*d**3 + 0 + 1/6*d**7 - 4/3*d**6 + 0*d**2. Factor t(r).
r*(r - 2)**3*(7*r + 2)
Let u(x) be the second derivative of -x**7/210 - 26*x**6/75 - 773*x**5/100 - 1273*x**4/30 - 496*x**3/5 - 576*x**2/5 + 497*x - 2. Suppose u(p) = 0. Calculate p.
-24, -2, -1
Suppose -18*q + 14*q - 168 = -88*q. Find i such that 3/2*i**3 - q*i**4 + 0 - 2*i + 1/2*i**5 + 2*i**2 = 0.
-1, 0, 1, 2
Let t = -1061/2 - -15917/30. Let q(p) be the second derivative of -1/50*p**5 + 0 + 0*p**3 + 8*p + 0*p**2 - t*p**4. Let q(y) = 0. What is y?
-2, 0
Factor -n**3 + 24*n + 44704*n**2 - 45035*n**2 - 202*n - 152*n.
-n*(n + 1)*(n + 330)
Let g(t) = 7*t**4 + 155*t**3 - 199*t**2 + 52*t - 3. Let q(h) = -h**4 - 4*h + 1. Let k(l) = g(l) + 3*q(l). Find p such that k(p) = 0.
-40, 0, 1/4, 1
Let z(m) = 2*m**3 - 228*m**2 - 45*m. Let s(k) = 3*k**3 - k**2 - k. Let a(p) = s(p) + z(p). Factor a(q).
q*(q - 46)*(5*q + 1)
Factor -6817321 + 572*y - 4695*y - 10*y**2 - 1099*y + 9*y**2.
-(y + 2611)**2
Let l = 275 - 275. Let q(x) be the second derivative of l*x**2 + 0 - 6*x + 1/9*x**3 - 7/36*x**4. Factor q(j).
-j*(7*j - 2)/3
Let t(c) be the first derivative of 2*c**5/5 - 49*c**4/2 - 424*c**3/3 + 2076. Suppose t(m) = 0. What is m?
-4, 0, 53
Let y(g) be the third derivative of 4*g**6/105 - 748*g**5/21 + 533*g**4/4 - 1398*g**3/7 + 9*g**2 - 2*g - 13. Let y(c) = 0. Calculate c.
3/4, 466
Determine a so that -15842/3*a - 5/3*a**4 + 0 + 296*a**3 - 13083*a**2 = 0.
-2/5, 0, 89
Determine b, given that -45*b**2 - 49 - 43 - 3*b**3 - 52 - 2036*b + 1850*b = 0.
-8, -6, -1
Suppose -2/3*c**2 - 1638050/3 + 3620/3*c = 0. Calculate c.
905
Let o(b) = b**3 + 7*b**2 + 12*b + 35. Let f be o(-6). Let k be (4/12)/((-4)/12) - f. Solve -2/19*q**2 + 2/19*q**3 + k - 4/19*q = 0 for q.
-1, 0, 2
Let g(q) be the third derivative of -q**5/12 + 455*q**4/24 + 235*q**3 + 41*q**2 - 43*q. What is u in g(u) = 0?
-3, 94
Let l = 186 - 184. Determine q, given that q**l + q**3 - 1 - 2*q - 14 + 15 = 0.
-2, 0, 1
Let j(o) = 28*o**2 + 38*o - 144. Let y(m) = -13*m**2 - 18*m + 72. Let v(f) = -6*j(f) - 13*y(f). Let s be v(-12). Factor s + 2/5*b - 2/5*b**2.
-2*b*(b - 1)/5
Let l = -128/145 + 143/116. Let p(y) be the first derivative of -3 + 1/30*y**3 + 3/5*y + l*y**2. Let p(b) = 0. What is b?
-6, -1
Let p(q) be the first derivative of 101 + 0*q + 3/8*q**4 - q**3 + 3/4*q**2. Factor p(v).
3*v*(v - 1)**2/2
Let q(o) = -2*o**2 - 3*o - 2. Let a(i) = -7*i**2 - 391*i - 36487. Let z(n) = 2*a(n) - 6*q(n). Solve z(x) = 0.
-191
Let w(q) be the second derivative of 0 + 0*q**2 - 1/6*q**4 + 59*q - 10/3*q**3. Suppose w(p) = 0. What is p?
-10, 0
Let v(r) = 31*r**2 + 2537*r + 7655. Let q(i) = 8*i**2 + 634*i + 1915. Let j(z) = 19*q(z) - 5*v(z). What is l in j(l) = 0?
-210, -3
Let g be ((-1)/4 - 1)*(-968)/60. Let h = g - 119/6. Let 1/3*k**2 - 2/3*k + h = 0. What is k?
1
Let d(x) be the first derivative of 0*x + 1/16*x**4 + 3/2*x**2 - 93 - 13/12*x**3. Factor d(p).
p*(p - 12)*(p - 1)/4
Let u = 32317 + -32315. Determine c, given that 4/17 + 78/17*c**u + 82/17*c = 0.
-1, -2/39
Factor -29*v**3 - 20*v**4 - 30*v**2 + 51*v**3 - 44*v**3 + 67*v**3 + 5*v.
-5*v*(v - 1)**2*(4*v - 1)
Let i(b) = 20*b**2 + 1. Let a(u) = 58*u**2 - 2704*u - 913949. Let z(q) = a(q) - 3*i(q). Find d such that z(d) = 0.
-676
Let s(p) be the second derivative of -3*p**5/40 - 39*p**4 - 311*p**3/4 + 274*p. Factor s(m).
-3*m*(m + 1)*(m + 311)/2
Let f be (64/40)/(4/10). Suppose 13 = f*a + 5. Factor -l**2 + 14*l**2 + 2*l**a + 2*l.
l*(15*l + 2)
Let n(z) be the second derivative of 1/5*z**5 - 2*z**4 + 13*z + 5 - 32/3*z**3 + 0*z**2. Let n(s) = 0. Calculate s.
-2, 0, 8
Let o be (4/14 + 4/(-210))/((-402)/(-7035)). Let -8*g**2 + o*g**3 + 2*g + 4/3 = 0. Calculate g.
-2/7, 1
Suppose -4*b + b = 4*k - 77, -3*k - 4*b + 63 = 0. Suppose -k*u + 60 - 10*u + 473*u**2 - 470*u**2 = 0. Calculate u.
4, 5
Let c(i) = -2*i**4 - 24*i**3 - 14*i**2 + 96*i + 88. Let k(w) = 2*w**4 + 24*w**3 + 14*w**2 - 96*w - 88. Let b(r) = 2*c(r) + 3*k(r). Let b(h) = 0. What is h?
-11, -2, -1, 2
Let x(j) be the third derivative of j**8/10080 - j**7/630 + j**6/135 + 8*j**4/3 - 2*j**2 + 39*j. Let p(k) be the second derivative of x(k). Factor p(n).
2*n*(n - 4)*(n - 2)/3
Suppose 5*f = 3*f + 10. Suppose 4*y - 14 = -f*m, 5*y = 8 - 3. Determine k, given that k**5 + 6*k - 10*k - 4*k**4 + 7*k**m - 8 + 4*k**3 - 3*k**3 + 3*k**2 = 0.
-1, 2
Let g(v) be the third derivative of -3/10*v**5 - 1/16*v**4 + 1/80*v**6 + 53*v**2 - 1 + 0*v + 3*v**3. Factor g(h).
3*(h - 12)*(h - 1)*(h + 1)/2
Let 11/2*x**3 - 7/4*x**4 + 5/2*x - 1/4 - 6*x**2 = 0. What is x?
1/7, 1
Suppose 0 = 7*v + 174 - 104. Let t(f) = -f**2 - 4*f + 62. Let p be t(v). Solve 2/3*l**4 + 14/9*l**3 + 0*l**p + 0 - 8/9*l = 0 for l.
-2, -1, 0, 2/3
Let c(h) be the third derivative of h**6/420 + 879*h**5/70 + 772641*h**4/28 + 226383813*h**3/7 - 39*h**2 - 72. Suppose c(a) = 0. Calculate a.
-879
Let q(u) be the first derivative of -5*u**3/3 - 5235*u**2/2 - 5230*u + 6905. Solve q(j) = 0 for j.
-1046, -1
Suppose -6*n + 380 + 10 = 0. Solve 19 + 5*m**2 - 20*m + 21 + n*m = 0 for m.
-8, -1
Factor 1479 + 42*q**2 - 1459 + 26*q**2 - 18*q**2 + 79*q + 9*q**2.
(q + 1)*(59*q + 20)
Let s(h) be the first derivative of -1/8*h**4 - 1/2*h**3 - 12*h + 3/20*h**5 + 15 + 0*h**2 + 1/20*h**6. Let b(z) be the first derivative of s(z). Factor b(f).
3*f*(f - 1)*(f + 1)*(f + 2)/2
Let 45*v**2 + v**3 - 40*v**2 - 21*v**2 - 26588 + 3417*v - 47*v**2 - 63*v**2 = 0. What is v?
17, 92
Let f(y) be the first derivative of -2*y**3 + 16*y**2 - 22*y - 255. Let h(w) = 16*w**2 - 94*w + 67. Let v(k) = 11*f(k) + 4*h(k). Solve v(a) = 0.
-13, 1
Let z(u) = -7*u**3 + 24*u**2 + 40*u - 1. Let o(x) = -8*x**3 + x**2 - 2*x - 1. Let f(k) = -o(k) + z(k). Solve f(p) = 0 for p.
-21, -2, 0
Let s = -47106/161 - -6736/23. Factor -18/7 + 2/7*m**3 + 18/7*m**2 - s*m.
2*(m - 1)*(m + 1)*(m + 9)/7
Suppose b = -5*a - 6, -b - 1 + 4 = -4*a. Let j be -2 + 15/3 - a. Factor c**j + c**5 + 0*c**5 - 4*c**3 - c**2 + 3*c**3.
c**2*(c - 1)*(c + 1)**2
Let r = -3557 - -3559. Let w(y) be the third derivative of -13/12*y**4 + 22*y**r + 0*y - y**3 - 8/45*y**5 + 16/45*y**6 + 0. Solve w(h) = 0.
-3/8, 1
Let r(m) be the first derivative of 5*m**4/4 - 20*m**3 + 175*m**2/2 - 6006. What is v in r(v) = 0?
0, 5, 7
Let y(o) = 2*o**3 + 93*o**2 + 47*o + 130. Let t be y(-46). Suppose -t*c + 248 = -172. Solve 1/7*i**4 + 8/7*i - 1/7*i**2 - 5/7*i**3 + 1/7*i**c - 4/7 = 0.
-2, 1
Suppose -l = 4*n - 8, 8 = 2*l - n + 5*n. Suppose l*f - p - 13 = -3*f, -4*f + 5*p = -10. Factor -4*j - 6*j + f + 0*j + 0 + 5*j**2.
5*(j - 1)**2
Suppose -25*y + 479 = 1979. Let i be (-69)/(-10) + 1 - 6/y. Factor 15*c**2 + i*c + 4/3 + 25/3*c**3.
(c + 1)*(5*c + 2)**2/3
Let b(m) be the first derivative of 39/2*m**2 - 12*m - 3*m**3 + 26. Find f such that b(f) = 0.
1/3, 4
Let b(a) = -3*a**2 + 921*a - 131043. Let i(z) = -6*z**2 + 1953*z - 262086. Let y(k) = 5*b(k) - 3*i(k). What is l in y(l) = 0?
209
Let w(j) be the second derivative of -j**6/10 + 27*j**5/20 + 10*j**4 - 24*j**3 + 8869*j. Factor w(s).
-3*s*(s - 12)*(s - 1)*(s + 4)
Let w(q) be the first derivative of -7*q**6/30 + q**5/5 + 527*q**4/20 + 1151*q**3/15 + 388*q**2/5 + 28*q + 1541. Solve w(h) = 0 for h.
-7, -1, -2/7, 10
Let r(m) be the third derivative of 1/420*m**7 + 0*m + 0 + 29/120*m**5 + 13/16*m**4 + 3/80*m**6 + 73*m**2 + 3/2*m**3. What is h in r(h) = 0?
-3, -2, -1
Let y(g) be the third derivative of 1/20*g**5 + 2*g**2 - 111 - 1/12*g**4 - 1/6*g**3 + 0*g. Let y(j) = 0. Calculate j.
-1/3, 1
Determine c, given that -15/4*c**4 