 2*q + 2 + v*q**2.
(q + 2)**2/2
Let n(g) be the second derivative of -g**5/110 + 5*g**4/33 + 206*g. Find w such that n(w) = 0.
0, 10
Let t be 3 + 40/(-200)*6/2. Factor 0 - t*l**2 + 9/5*l**3 + 0*l + 3/5*l**4.
3*l**2*(l - 1)*(l + 4)/5
Find a such that 0 - 6/7*a + a**2 - 1/7*a**3 = 0.
0, 1, 6
Let o(r) = -r**2 - 4*r - 7. Let j(n) = 2*n**2 + 9*n + 13. Let h(i) = -3. Let z(y) = 3*h(y) - 3*j(y). Let v(w) = 27*o(w) - 4*z(w). Factor v(g).
-3*(g - 1)*(g + 1)
Suppose -y - y + 395 = 5*k, 5*k + 3*y = 390. Let g = -79 + k. Factor -2/5*o**g + 2/5*o**4 - 2/5*o**3 + 0 + 2/5*o.
2*o*(o - 1)**2*(o + 1)/5
Let h(z) be the first derivative of 5*z**7/42 - z**6/2 + z**5/4 + 5*z**4/4 - 5*z**3/3 + 13*z - 21. Let u(o) be the first derivative of h(o). Solve u(q) = 0.
-1, 0, 1, 2
Let s(r) be the second derivative of -1/48*r**4 + 0*r**2 + 3/16*r**5 + 3*r - 1/12*r**3 + 0 - 19/120*r**6 + 1/24*r**7. Let s(x) = 0. Calculate x.
-2/7, 0, 1
Solve 13*c + 1/4*c**2 + 169 = 0.
-26
Let m(t) be the first derivative of -4/3*t**3 - 37 - 12*t**2 + 28*t. Suppose m(u) = 0. Calculate u.
-7, 1
Let u be (-12 - (-259)/14) + (1 - 7). Let f(r) be the second derivative of -1/12*r**4 + r + 0 + u*r**3 - r**2. Factor f(i).
-(i - 2)*(i - 1)
Let s(d) = 507*d - 1516. Let f be s(3). Factor -5*p**3 + 9*p**2 + 27/2*p - 27/2 - 7/2*p**4 - 1/2*p**f.
-(p - 1)**2*(p + 3)**3/2
Let t(f) = -2*f**2 - 6*f - 50. Let j be t(-5). Let m = j + 73. Factor 1/11*z - 2/11 - 3/11*z**m + 4/11*z**2.
-(z - 1)**2*(3*z + 2)/11
Let z(r) be the third derivative of 0*r - 5/1008*r**8 - 1/210*r**7 + 11/180*r**6 + 0*r**3 + 1/15*r**5 + 9*r**2 + 0 - 1/9*r**4. Solve z(l) = 0 for l.
-2, -1, 0, 2/5, 2
Determine x so that -8/11 + 24/11*x - 24/11*x**3 - 2/11*x**2 + 10/11*x**4 = 0.
-1, 2/5, 1, 2
Let g(b) be the second derivative of -b**4/54 - 8*b**3/27 - 5*b**2/3 - 98*b. Find y, given that g(y) = 0.
-5, -3
Suppose 0 = -21*h + 2 + 187. Let g(s) be the second derivative of 0 + 0*s**2 - 1/9*s**4 - h*s + 2/3*s**3. Find n such that g(n) = 0.
0, 3
Let f(c) = -5*c**2 + 4*c**2 - 1 - c**4 + c**3 + c**2. Let r(o) = 15*o**3 + 45*o**2 - 40*o + 5. Let n(d) = -25*f(d) - r(d). What is x in n(x) = 0?
-1, -2/5, 1, 2
Let n(w) = -w**2 + 2*w + 13. Let u be n(5). Let r be u/(-24) + 10/15. Factor -r*a**2 - 9/4*a - 3/2.
-3*(a + 1)*(a + 2)/4
Let f(j) be the second derivative of 1/8*j**4 + 0 - 10*j + 3/8*j**3 - 3/4*j**2. Determine s, given that f(s) = 0.
-2, 1/2
Let i(a) be the second derivative of -a**4/4 - 31*a**3/2 + 48*a**2 - 12*a + 2. Determine y so that i(y) = 0.
-32, 1
Let q = 159 + -154. Suppose 7*g + q*u = 4*g + 11, -4*g = u - 9. Factor 7/2*i - 3/2*i**g - 1.
-(i - 2)*(3*i - 1)/2
Let d(u) be the first derivative of -78*u**3/7 + 71*u**2/7 - 20*u/7 - 248. Factor d(f).
-2*(9*f - 2)*(13*f - 5)/7
Let q(v) = -v**2 + 1. Let i(x) = -2*x**3 + 11*x**2 - 11*x - 1. Let w(a) = -a**2 - a + 1. Let u(f) = i(f) - 3*w(f). Let h(o) = 4*q(o) + u(o). Factor h(g).
-2*g*(g - 4)*(g - 1)
Let z be -1 - (-4 - 3) - -2. Let n be 8/8 + z/2. Find o, given that 20*o + 4*o**4 + o**3 - 20*o + 6*o**n - 3*o**3 = 0.
-1, 0, 1/3
Let p(l) = -6*l - 3 + 7*l**2 + 7 - l + l**3 - l. Let z be p(-8). What is j in -j - j - 4*j + 2*j**2 + z*j = 0?
0, 1
Let k(n) be the third derivative of n**5/30 - 4*n**4/3 + 28*n**3/3 - 46*n**2. Determine p, given that k(p) = 0.
2, 14
Determine n, given that 174*n + 1784 - 704 + 3*n**2 - 909 = 0.
-57, -1
Let l(c) be the third derivative of c**7/525 + c**6/60 - 7*c**5/150 - c**4/12 + 2*c**3/5 + 145*c**2. Suppose l(b) = 0. What is b?
-6, -1, 1
Let f(c) = -2*c**2 + c**3 - 4*c + 2*c**2. Let y = 29 + -22. Let w(m) = 2*m**3 - 7*m. Let o(h) = y*f(h) - 4*w(h). Factor o(t).
-t**3
Let h(t) = -t + 9. Let a = -29 - -36. Let b be h(a). Solve 0*o**b + 4/5 - 2/5*o**3 + 6/5*o = 0.
-1, 2
Let n(o) be the second derivative of -o**6/30 + o**5/20 + o**4/4 - o**3/6 - o**2 + 54*o. Suppose n(q) = 0. Calculate q.
-1, 1, 2
What is m in -392/11*m + 390/11 + 2/11*m**2 = 0?
1, 195
Suppose -2*g - 10 = -4*w, 0*w - 3*g = -3*w + 15. Suppose w = -11*b - 2 + 46. Factor 0*z**3 - 2/3*z**5 + 0 + 0*z**b + 0*z**2 + 0*z.
-2*z**5/3
Let j(a) = -a**4 + 20*a**3 - 24*a**2 + 4*a. Let i(h) = -2*h**4 + 20*h**3 - 23*h**2 + 3*h. Let b(z) = -4*i(z) + 3*j(z). Determine t so that b(t) = 0.
0, 2
Let s(l) be the first derivative of l**5/15 + 3*l**4/8 + 2*l**3/9 + 107. Determine z so that s(z) = 0.
-4, -1/2, 0
Let u(m) be the third derivative of 1/840*m**6 - 1/168*m**4 + 0 - 7*m**2 + 0*m + 0*m**5 + 0*m**3. Find y such that u(y) = 0.
-1, 0, 1
Let a = -1101301/14916 - -1/4972. Let j = a + 74. Factor -1/6*c**3 + 0 + j*c**2 + 1/3*c.
-c*(c - 2)*(c + 1)/6
Let m(w) be the first derivative of -w**6/200 - 3*w**5/100 - 3*w**4/40 - w**3/10 - 4*w**2 + 20. Let l(f) be the second derivative of m(f). Solve l(a) = 0 for a.
-1
Let w = 818 + -818. Let b(m) be the second derivative of 1/36*m**4 + w + 0*m**2 - 4*m - 1/18*m**3. Determine y, given that b(y) = 0.
0, 1
Let m = -17 - -22. Find c, given that -9*c**4 + 10*c**4 - c**2 + 0*c**2 - c**m + c**3 = 0.
-1, 0, 1
Suppose -15*b + 30 + 15 = 0. Let g(i) be the second derivative of -3*i + 1/30*i**5 + 4/3*i**2 + 0*i**b - 1/6*i**4 + 0. Determine o so that g(o) = 0.
-1, 2
Factor -2*q + 2*q**4 - q**4 + 226*q**2 - 229*q**2.
q*(q - 2)*(q + 1)**2
Suppose -28 + 30 = w. Let l(i) be the second derivative of 4/7*i**2 + 4/7*i**3 - 3/7*i**5 + 0 + 5/21*i**6 - 11/42*i**4 + w*i. Factor l(d).
2*(d - 1)**2*(5*d + 2)**2/7
Let u(l) = 135*l + 679. Let v be u(-5). Let z(g) be the second derivative of 3/2*g**2 + 0 + g + 1/4*g**v + g**3. Determine x, given that z(x) = 0.
-1
Let r be 54/(-14) - 2 - (-4 + -6 + 4). Solve 1/7*o**4 + 1/7*o**3 - r*o**2 + 0 - 1/7*o = 0.
-1, 0, 1
Let t be 9/(-21) + (-17)/(-7). Suppose -4*c + t*c = 0. Factor -1/2*f + f**3 + 0 + c*f**4 - 1/2*f**5 + 0*f**2.
-f*(f - 1)**2*(f + 1)**2/2
Factor 36*r - 4/3*r**2 - 243.
-(2*r - 27)**2/3
Let n(w) = -1255*w + 5023. Let q be n(4). Factor -2/3*a**q + 0*a**2 + 1/3*a**4 + 2/3*a - 1/3.
(a - 1)**3*(a + 1)/3
Let u = -11 - -11. Let m(o) = -4*o + u*o**2 + 0*o + 2 - 4*o + 2*o**2. Let p(w) = -4*w**2 + 15*w - 3. Let l(c) = 11*m(c) + 6*p(c). Suppose l(s) = 0. Calculate s.
-1, 2
Suppose -29*q + 30*q = -5*w + 8, 5*w - 20 = 5*q. Suppose 2/3 + 4/3*r - 2*r**w = 0. Calculate r.
-1/3, 1
Suppose 4*p - c = 4 + 14, 0 = -2*p - 2*c + 4. Factor 4*h**3 - 15*h**2 + 12 - p*h + h**2 + 2*h**2.
4*(h - 3)*(h - 1)*(h + 1)
Let c = 1004641/480 + -2093. Let n(v) be the third derivative of 1/192*v**4 - c*v**5 + 1/24*v**3 + 0 + 0*v - 4*v**2. Suppose n(d) = 0. What is d?
-1, 2
Suppose -v - 10 = -6*v. Factor -3562*k + 3*k**v + 3562*k.
3*k**2
Let d be (-2 + 19/2)/(39/260). Let f be (-6)/(-8) + d/40. Factor -2/5*v**2 - 6/5 + f*v - 2/5*v**3.
-2*(v - 1)**2*(v + 3)/5
Let o(i) be the first derivative of -2/15*i**5 + 2*i**2 + 7/9*i**4 - 24 - 10/9*i - 16/9*i**3. Solve o(q) = 0 for q.
1, 5/3
Let k(f) = -f**4. Let n(a) = 4 + 6*a**2 + 20*a**3 + a - 18*a**3 - 11*a. Let q(m) = -2*k(m) - n(m). Factor q(w).
2*(w - 1)**3*(w + 2)
Let c(g) be the third derivative of -5*g**8/336 - 4*g**7/21 + 19*g**6/24 - 5*g**5/6 - g**2 - 26*g. Factor c(y).
-5*y**2*(y - 1)**2*(y + 10)
Suppose -5*c - t + 72 = 0, -4*t - 13 = -4*c + 35. Let y be 21/49 + (-6)/c. Factor -3*v + v + 2*v**3 + y*v**3.
2*v*(v - 1)*(v + 1)
Let a = -10 - -14. Let 2*k - k**2 - k**3 + k**a - k**3 + 4*k**2 - 4*k**2 = 0. Calculate k.
-1, 0, 1, 2
Factor -3*f**3 + 214 - 48*f**2 + 248 - 123*f - 540.
-3*(f + 1)*(f + 2)*(f + 13)
Suppose 0 = 3*n - c - 2, 2*n + 2*c = 4*c - 4. Determine t, given that -2*t - n - t**2 + 2 + 0*t = 0.
-2, 0
Suppose 2*v + 16 = -5*n, 297*v - n = 294*v + 10. Find c such that -c + 1/4*c**v + 1 = 0.
2
Let b(g) be the first derivative of -g**3/3 - 41*g**2 - 1681*g - 557. Suppose b(a) = 0. What is a?
-41
Let i(z) be the first derivative of -2 - 125/2*z**2 - 20*z**3 - 30*z + 35/4*z**4. Factor i(x).
5*(x - 3)*(x + 1)*(7*x + 2)
Let j be (-4)/(-14) - 297/(-63). Find l such that j*l**2 - 31*l - 5*l**4 + 2*l**3 - 7*l**3 + 36*l = 0.
-1, 0, 1
Let c(l) = -l. Let i be c(-3). Let r be ((-9)/3 + -3)/(-2 + 0). Factor -3*x**i + 4 + 3*x**4 - 2*x**2 - 5 + 5*x**r + 0*x + x**5 - 3*x.
(x - 1)*(x + 1)**4
Let a(h) be the first derivative of 4 - 1/2*h**2 - 3/10*h**5 + 2/3*h**4 + 0*h + 4/9*h**3 - 27/20*h**6. Let c(i) be the second derivative of a(i). Factor c(z).
-2*(3*z - 1)