 s such that q(s) = 0.
-3, -1, 0, 1
Find l such that 35*l**3 - 6*l**4 - 5*l**5 + 18*l**2 + l**4 + 47*l**2 + 30*l = 0.
-2, -1, 0, 3
Let n(j) be the first derivative of -22 + 2/15*j**3 + 1/20*j**4 + 0*j + 0*j**2. Factor n(a).
a**2*(a + 2)/5
Let a(j) be the third derivative of j**5/270 - 4*j**4/27 + 13*j**3/9 - 69*j**2. Factor a(n).
2*(n - 13)*(n - 3)/9
Let y(m) = -3*m**3 - 24*m**2 - 43*m - 14. Let i(a) = 3*a**3 + 24*a**2 + 42*a + 15. Let u(k) = 4*i(k) + 3*y(k). Factor u(l).
3*(l + 1)**2*(l + 6)
Let l be 1/(-9 + 13 - 21/6). Factor 1/8*i**l - 3/8*i + 1/4.
(i - 2)*(i - 1)/8
Let d = 3/815 + 3614/36675. Let n = d - -3/25. Suppose -2/9*u**4 + 0*u**2 + 0 - n*u**5 + 0*u + 4/9*u**3 = 0. What is u?
-2, 0, 1
Let b be (3 + (-27)/7)/((-159)/742). Factor 3/4*a**2 - 15/4*a**b + 0 + 0*a + 3/4*a**3 + 9/4*a**5.
3*a**2*(a - 1)**2*(3*a + 1)/4
Let l(b) be the second derivative of 0*b**2 + 1/12*b**4 + 19*b - 1/3*b**3 + 1/20*b**5 + 0. Determine h, given that l(h) = 0.
-2, 0, 1
Let n(b) = -9*b**2 - 2*b + 3. Let z be n(1). Let m be (z/6)/(17/(-1224)). Suppose -6*d + 68*d**2 - 19 - m*d**5 - 262*d**3 + 368*d**4 + 19 = 0. Calculate d.
0, 1/4, 1/3, 3
Let k be (0 + -12)*(2321/(-330) - -7). Factor 0 + 6/5*o - k*o**2.
-2*o*(o - 3)/5
Let s(m) be the third derivative of 0 - 49/3*m**3 + 0*m + 15*m**2 - 1/30*m**5 + 7/6*m**4. Factor s(a).
-2*(a - 7)**2
Factor 48/11 + 10/11*n**3 - 29/11*n**2 - 1/11*n**4 + 8/11*n.
-(n - 4)**2*(n - 3)*(n + 1)/11
Let j = -24 - -21. Let g be -3*((-4)/10)/(j/(-5)). Factor -3/7*i**g - 3/7*i**3 + 0 + 0*i.
-3*i**2*(i + 1)/7
Let v(q) be the third derivative of q**8/3024 - q**7/210 + q**6/72 - 7*q**5/540 + 75*q**2. Determine w so that v(w) = 0.
0, 1, 7
Suppose -92*d + 95 + 124 = 35. Suppose -8/3*n + 2/3*n**2 + d = 0. Calculate n.
1, 3
Let -94/9*g**3 - 22/9*g**4 - 194/9*g**2 - 8 - 64/3*g - 2/9*g**5 = 0. What is g?
-3, -2, -1
Let d(p) be the first derivative of -1/135*p**5 + 1/27*p**4 + p**3 + 0*p + 0*p**2 + 3 + 1/1620*p**6. Let z(w) be the third derivative of d(w). Solve z(u) = 0.
2
Let p(m) be the third derivative of 0 - 21*m**2 + 60*m**5 + 16*m**6 + 0*m + 125*m**4 + 64/35*m**7 + 625/4*m**3. Factor p(w).
3*(4*w + 5)**4/2
Let b(z) be the second derivative of -z**7/63 + 2*z**6/9 - 4*z**5/15 - 5*z**4/9 + z**3 - 50*z. Solve b(m) = 0 for m.
-1, 0, 1, 9
Suppose 0 = -3*y + 6, 3*y = m + 3 + 1. Factor -31*d**2 + 8*d**3 + 9*d**m - 13*d + 7*d.
2*d*(d - 3)*(4*d + 1)
Let s(f) be the first derivative of -4*f**3 + 45*f**2/2 + 162*f - 311. Let s(h) = 0. What is h?
-9/4, 6
Let n(p) be the second derivative of -3*p**5/40 + 23*p**4/8 + 19*p**3 + 39*p**2 + 616*p. Factor n(u).
-3*(u - 26)*(u + 1)*(u + 2)/2
Factor -2/3*v**2 + 8/3*v + 10/3.
-2*(v - 5)*(v + 1)/3
Let v(u) = -5*u**5 - 7*u**4 + 10*u**3 - 2*u + 2. Let s = -29 + 27. Let c(b) = 25*b**5 + 36*b**4 - 50*b**3 + 11*b - 11. Let f(n) = s*c(n) - 11*v(n). Factor f(j).
5*j**3*(j - 1)*(j + 2)
Let q(n) = n + 14. Let r be q(-14). Suppose 5*x - 4*m = -2, r*x - 3*x - 6 = -4*m. Solve 2*f + 25*f**x + 4*f - 4 - 27*f**2 = 0 for f.
1, 2
Let i(q) = 2*q**3 - 327*q**2 + 7257*q - 53243. Let w(m) = -25*m**3 + 3925*m**2 - 87085*m + 638915. Let k(u) = -35*i(u) - 3*w(u). Factor k(o).
5*(o - 22)**3
Let u be (3 + (-135)/48)/(39/52). Suppose u*o**4 + 0 - 1/4*o**3 + 0*o - 1/2*o**2 = 0. What is o?
-1, 0, 2
Let p(w) be the first derivative of w**8/280 + w**7/147 - w**6/420 - w**5/210 + 3*w**3 + 8. Let d(o) be the third derivative of p(o). Solve d(s) = 0 for s.
-1, -2/7, 0, 1/3
Let m(c) = -42*c**3 - 144*c**2 + 107*c + 59. Let v(a) = 4*a**4 - 2*a**3 + a + 1. Let p(d) = -m(d) - 5*v(d). Find r such that p(r) = 0.
-2, -2/5, 1, 4
Let h(o) be the first derivative of o**6/9 + 8*o**5/15 + 2*o**4/3 - 4*o**3/9 - 5*o**2/3 - 4*o/3 - 95. Factor h(l).
2*(l - 1)*(l + 1)**3*(l + 2)/3
Let v(i) be the first derivative of -i**5/90 + 5*i**4/18 - 25*i**3/9 - 13*i**2/2 + 4. Let r(k) be the second derivative of v(k). Let r(o) = 0. Calculate o.
5
Let z = 746/2513 + -4/359. Factor -4/7*l**2 + z*l**4 + 0*l + 2/7 + 0*l**3.
2*(l - 1)**2*(l + 1)**2/7
Suppose 5*h + 100*n = 98*n + 6, -2*n - 12 = -4*h. Solve -18/17*c**h + 14/17*c + 10/17*c**3 - 2/17*c**4 - 4/17 = 0 for c.
1, 2
Let p be (-4 + 310/15 - 16/(-12))/10. Determine k so that 12/5*k - 27/5*k**3 - 6/5*k**4 + p*k**5 + 0 + 0*k**2 = 0.
-1, 0, 2/3, 2
Let d(q) be the first derivative of -q**5/60 - q**4/36 + q**3/9 - 21*q - 21. Let c(o) be the first derivative of d(o). Solve c(a) = 0.
-2, 0, 1
Let n = 17 - 1. Let a be 9 + -1 + n/(-4). Suppose -4*f**3 + 17*f**2 + a*f - 17*f**2 + 1 - 2*f**4 + 1 = 0. Calculate f.
-1, 1
Let b(c) be the first derivative of -c**6 + 4*c - 2*c**4 + 7*c**2 - 16/5*c**5 + 4*c**3 - 38. Find l such that b(l) = 0.
-1, -2/3, 1
Let s(x) be the first derivative of 2*x**3/27 + 32*x**2/3 + 512*x - 198. Factor s(q).
2*(q + 48)**2/9
Let u be (-44)/3 - (-10)/15. Let j = -12 - u. Factor -2/11*o**3 - 6/11*o - 2/11 - 6/11*o**j.
-2*(o + 1)**3/11
Suppose 60 = 4*z - 12. Let q be 30/z*3/1. Factor -2 + 2*n**3 + n**4 + 0 - 3*n**2 + 1 + q - 4*n.
(n - 1)**2*(n + 2)**2
Let y(a) be the first derivative of -20 + 15/4*a**2 - 75/4*a - 1/4*a**3. Factor y(x).
-3*(x - 5)**2/4
Factor -7/3*n**3 - 80/3*n + 61/3*n**2 - 28/3.
-(n - 7)*(n - 2)*(7*n + 2)/3
Let u(v) be the first derivative of -5*v**4/4 - 185*v**3/3 + 385*v**2/2 - 195*v - 295. Find c, given that u(c) = 0.
-39, 1
Let f(k) be the second derivative of -k**6/24 - k**5/16 + 5*k**4/48 + 5*k**3/24 + 4*k. Factor f(y).
-5*y*(y - 1)*(y + 1)**2/4
Let p(s) be the first derivative of s**6/120 - s**4/8 + s**3/3 + s**2/2 + 6. Let d(f) be the second derivative of p(f). Factor d(l).
(l - 1)**2*(l + 2)
Let v(a) be the second derivative of a**4/6 + 14*a**3 + 16*a - 11. Solve v(t) = 0 for t.
-42, 0
Let h(n) = -n**3 - 18*n**2 - 47*n - 14. Let x(z) = z**3 + 17*z**2 + 46*z + 18. Let f(j) = 3*h(j) + 4*x(j). Let f(t) = 0. Calculate t.
-10, -3, -1
Let r(k) be the second derivative of -k**4/54 - 7*k**3/27 - k + 75. Factor r(x).
-2*x*(x + 7)/9
Let r(t) be the third derivative of -t**7/210 - t**6/10 - t**5/2 + 25*t**4/6 + 125*t**3/2 - 88*t**2. Solve r(j) = 0 for j.
-5, 3
Let h(z) = 2*z**2 - 10*z - 8. Let j be h(6). Let v(q) = q**3 + 8*q**2 - 4*q - 11. Let g(i) = -8*i**2 + 4*i + 12. Let l(p) = j*v(p) + 3*g(p). Factor l(o).
4*(o - 1)*(o + 1)*(o + 2)
What is l in 0 + 184/9*l**2 + 8/9*l - 638/9*l**3 - 364/9*l**4 = 0?
-2, -1/26, 0, 2/7
Let l be (1/((-3)/(-4)))/(35/21). Let y(x) be the first derivative of 4*x**3 + 4*x**2 + 0*x**4 - l*x**5 - 1 + 0*x. Factor y(r).
-4*r*(r - 2)*(r + 1)**2
Suppose -581 + 547 = -17*m. Let 0 - p + 1/2*p**m = 0. What is p?
0, 2
Let n(w) be the first derivative of -49*w**4/24 - 3647*w**3/18 + 524*w**2/3 - 50*w - 49. Solve n(k) = 0.
-75, 2/7
Let q = 66 - 59. Suppose 14 = q*c - 7. Suppose -2/7 - 6/7*i**2 - 6/7*i - 2/7*i**c = 0. What is i?
-1
Let d(f) = 16*f**2 - 44*f - 30. Let n(o) = 17*o**2 - 42*o - 29. Let m(c) = 5*d(c) - 6*n(c). What is j in m(j) = 0?
-6/11, 2
Let h = -604/159 + 272/53. Factor 2/3*k**2 + 2/3*k**4 + 7/3*k - h + 1/3*k**5 - 8/3*k**3.
(k - 1)**3*(k + 1)*(k + 4)/3
Let w be 5/((-120)/(-74)) + (-8)/(-12). Factor -3/4*b**4 + 3*b + 6 - w*b**3 - 9/2*b**2.
-3*(b - 1)*(b + 2)**3/4
Let z = 65/946 + -1/22. Let b = z - -127/86. Let -1/2 + d**4 + b*d**2 - 5/2*d**3 + 1/2*d = 0. What is d?
-1/2, 1
Suppose -l - 5*t = 9 + 8, -3*l + 5*t + 49 = 0. Suppose 4*z**5 - 4*z**3 - 8*z - 2*z**4 - 6*z**4 + 20*z**2 - l*z**3 + 4*z**4 = 0. Calculate z.
-2, 0, 1
Let u = -10 - -13. Find y such that 803 - 6*y**2 + u*y**3 + 3*y - 803 = 0.
0, 1
Let p be -2 + (-18)/(-4) + (6 - 8). Let z(v) = -2*v**2 + 8*v - 4. Let n be z(3). Factor -u**3 + 0*u**n - 1/2*u**4 + u + p.
-(u - 1)*(u + 1)**3/2
Let d(j) be the first derivative of -9*j**4/16 + j**3/2 + 9*j**2/8 - 3*j/2 + 122. Factor d(w).
-3*(w - 1)*(w + 1)*(3*w - 2)/4
Suppose 0 = -5*n + 1 + 24. Factor 75*i - 24 - 43 - n*i**4 - 15*i**3 + 35*i**2 - 23.
-5*(i - 2)*(i - 1)*(i + 3)**2
Let l = 3/1373 + 16461/6865. Factor 2/5 - 8/5*z + l*z**2 - 8/5*z**3 + 2/5*z**4.
2*(z - 1)**4/5
Let a(w) be the second derivative of -4*w**3/3 - 11*w**2/2 - 9*w. Let o be a(-2). Find q such that -4/9*q**2 + 0 + 10/9*q**3 - 8/9*q**4 + 0*q + 2/9*q**o = 0.
0, 1, 2
Let w = -669 - -672. Let m(l) be the second derivative of 24*l**2 + 1/4*l**4 + 0 + 6*l - 4*l**w. Factor m(d).
3*(d - 4)**2
Let l = -482