derivative of z(i). What is f in k(f) = 0?
-10, 1
Factor 4/7*g**2 + 0 - 8/7*g.
4*g*(g - 2)/7
Suppose 2*r + 2 = -4*w, 2*w = -449*r + 447*r + 2. Let 6/5*b**2 + 6/5 - 12/5*b**4 - 12/5*b**r - 3/5*b**5 + 3*b = 0. What is b?
-2, -1, 1
Let l(v) = -v**4 - 3*v**3 - 2*v + 2. Let g(x) = -3*x**3 - 3*x + 3. Let r = -40 + 43. Let p(f) = r*l(f) - 2*g(f). Find a such that p(a) = 0.
-1, 0
Let l = -10051 - -10054. Let 15/7*p - 9/7*p**2 - 6/7 - 3/7*p**l + 3/7*p**4 = 0. What is p?
-2, 1
Let s(f) be the third derivative of -1/720*f**6 + 0*f**3 + 10*f**2 + 0*f + 1/144*f**4 + 0 + 0*f**5. Find g, given that s(g) = 0.
-1, 0, 1
Let j(r) be the first derivative of -r**8/8400 - r**7/1400 - r**6/900 + 2*r**3 - 6. Let s(m) be the third derivative of j(m). Let s(i) = 0. What is i?
-2, -1, 0
Suppose 2*w = 2*b + w + 2, 4*w - 8 = 2*b. Let f(n) be the first derivative of b*n**3 + 0*n**2 - 4 + 1/2*n**4 + 0*n + 2/5*n**5. Let f(q) = 0. Calculate q.
-1, 0
Factor 5/3*v**2 + 1/3*v**3 - 5/3 - 1/3*v.
(v - 1)*(v + 1)*(v + 5)/3
Let z(u) be the second derivative of 0 - 1/4*u**3 + 1/2*u**2 + 1/30*u**6 - 1/6*u**4 + 3/40*u**5 + 5*u. Suppose z(q) = 0. What is q?
-2, -1, 1/2, 1
Let a be (-2 + 6 + -15)*4/(-22). Let j(m) be the first derivative of 0*m**4 + 5 + 0*m + 0*m**a + 2/5*m**5 + 0*m**3. Find x such that j(x) = 0.
0
Let x(t) = -2*t**4 + 19*t**3 - 25*t**2 - 9*t + 12. Let n(c) = -2*c**4 + 20*c**3 - 28*c**2 - 8*c + 12. Let g(v) = -5*n(v) + 6*x(v). Factor g(m).
-2*(m - 6)*(m - 1)**2*(m + 1)
Let u(j) = 17*j**2 - 21*j + 17. Let s(l) = 4*l**2 - 5*l + 4. Suppose -h - 6 = -2*h. Let a(m) = h*u(m) - 26*s(m). Suppose a(n) = 0. What is n?
1
Let b = -13580/27 + 503. Let g(c) be the second derivative of b*c**3 + c + 1/9*c**2 - 1/90*c**5 + 0 - 1/54*c**4. Factor g(x).
-2*(x - 1)*(x + 1)**2/9
Let s = 193 + -142. Factor -30 + 79 + s*c**2 - c - 13*c - 50*c**2.
(c - 7)**2
Let q(g) be the first derivative of g**6/540 + 2*g**5/135 + 9*g**2/2 + 11. Let a(i) be the second derivative of q(i). Solve a(d) = 0 for d.
-4, 0
Let y be 46/207 - (-64)/36. Let h(n) be the second derivative of 1/3*n**4 + 0 - 8/3*n**3 + 8*n**y - n. Factor h(x).
4*(x - 2)**2
Let m(y) = -9*y**2 - 2*y - 3. Let v be m(-2). Let z be (7 - (-216)/v) + 6/(-14). Suppose 0 + z*x**2 + 1/5*x**3 - 3/5*x = 0. Calculate x.
-3, 0, 1
Let t(b) be the third derivative of 0 + 1/42*b**7 + 0*b - 11*b**2 - 1/24*b**6 - 1/12*b**5 + 5/24*b**4 + 0*b**3. Factor t(m).
5*m*(m - 1)**2*(m + 1)
Let u(c) be the second derivative of -c**7/21 - 8*c**6/15 - 5*c**5/2 - 19*c**4/3 - 28*c**3/3 - 8*c**2 - 59*c. Find j, given that u(j) = 0.
-2, -1
Factor 0 - 66/5*z - 6/5*z**2.
-6*z*(z + 11)/5
Factor -12 + 2*x**2 + 5232*x + 12 - 5328*x.
2*x*(x - 48)
Let i(k) be the third derivative of -k**8/168 + 8*k**7/21 - 101*k**6/12 + 161*k**5/3 + 1225*k**4/3 + 2744*k**3/3 + 2*k**2 + 16*k. Factor i(x).
-2*(x - 14)**3*(x + 1)**2
Let -1806 + 45*a - 399 + 55*a + 110*a - 5*a**2 = 0. Calculate a.
21
Let q be ((-22)/30)/(33/(-198)). Factor q*w + 14/5 + 8/5*w**2.
2*(w + 1)*(4*w + 7)/5
Suppose 3*w - 5 = p - 0*p, -17 = w - 5*p. Let 0*q**4 + w*q**4 + 36*q**2 + 18*q**3 + 24*q + 4*q**4 - 4*q**4 = 0. What is q?
-2, 0
Let t(j) be the first derivative of -j**5/30 - j**4/9 - 2*j + 13. Let d(x) be the first derivative of t(x). What is h in d(h) = 0?
-2, 0
Let q(m) be the first derivative of -m**7/2940 - m**6/840 - m**5/840 + 8*m**3/3 - 28. Let i(b) be the third derivative of q(b). Factor i(n).
-n*(n + 1)*(2*n + 1)/7
Suppose -4*t + 131 = -0*t - 5*l, 0 = 3*t + 2*l - 81. Factor -6*j**2 + 6*j**3 + 0*j**4 + 2*j**4 + t*j - 27*j - 4*j**4.
-2*j*(j - 1)**3
Factor 95 + 4*v**2 + 78 + 20*v - 173.
4*v*(v + 5)
Let k(q) be the first derivative of -q**4/3 + 4*q**3/3 - 2*q**2 - 11*q + 24. Let c(n) be the first derivative of k(n). Find o such that c(o) = 0.
1
Let l(s) be the third derivative of -2*s**7/735 + 11*s**6/210 - 2*s**5/21 + 76*s**2 - 3*s. Factor l(f).
-4*f**2*(f - 10)*(f - 1)/7
Let y be (-5 - -3)/((-1)/2). Factor y - 6*a**2 + 3 + 2 + 3*a - 3*a**3 - 3*a**2.
-3*(a - 1)*(a + 1)*(a + 3)
Let l(t) be the second derivative of 0*t**2 - 1/6*t**6 - 1/4*t**5 - 5/2*t**3 + 15*t + 25/12*t**4 + 0. Determine d, given that l(d) = 0.
-3, 0, 1
Let i(k) be the second derivative of -2*k**6/15 + 11*k**5/5 - 15*k**4 + 54*k**3 - 108*k**2 - 2*k + 16. Let i(b) = 0. What is b?
2, 3
Let d(p) be the first derivative of 4*p**3/33 - 89*p**2/11 - 90*p/11 + 29. Factor d(b).
2*(b - 45)*(2*b + 1)/11
Let h(p) = 3*p**2 + 72*p + 96. Let m(z) = 4*z + 1. Let c(d) = -h(d) - 9*m(d). Let c(y) = 0. What is y?
-35, -1
Suppose -5*k + 17 - 42 = 5*w, 15 = -w - 3*k. What is v in 3/5*v**4 + 4/5*v**2 + 0 + w*v + 12/5*v**3 - v**5 = 0?
-1, -2/5, 0, 2
Suppose 12 = -3*w + 3*j, -51*j = 3*w - 48*j - 12. Factor w - 4/17*k + 2/17*k**3 + 2/17*k**2.
2*k*(k - 1)*(k + 2)/17
Let v(c) = -23*c**2 + 223*c + 13. Let p(o) = 11*o**2 - 111*o - 6. Let i(n) = -13*p(n) - 6*v(n). Factor i(s).
-5*s*(s - 21)
Let t(u) be the third derivative of -u**7/420 - 7*u**6/480 - u**5/120 + u**4/32 - 3*u**2 + 13. Find q, given that t(q) = 0.
-3, -1, 0, 1/2
Let f be (-1*12/(-10))/((-10)/(-25)). Let k be 0/(f/(3 + 0)). Let k - 4*j**4 - 8/9*j - 98/9*j**3 + 56/9*j**2 + 14*j**5 = 0. What is j?
-1, 0, 2/7, 1/3, 2/3
Suppose 2 = q - r, -5*r + 7*r = -q - 10. Let d be q + 6*(-6)/(-18). Suppose 3/4*t**2 + d + 3/2*t**3 + 0*t + 3/4*t**4 = 0. Calculate t.
-1, 0
Let o(q) be the second derivative of 1/45*q**5 + 0 + 12*q + 0*q**2 - 1/54*q**4 - 2/27*q**3 + 1/135*q**6. Suppose o(w) = 0. Calculate w.
-2, -1, 0, 1
Let r(a) = 7*a - 1. Let x(q) = -q**2 + 28*q - 4. Let d(i) = 9*r(i) - 2*x(i). Let n be d(-4). Solve g**3 + 6*g**3 - 3*g - 4*g**n = 0 for g.
-1, 0, 1
Let p be (4 - (-2 + 4))/(110/20). Suppose 0*b = -b. What is y in -8/11*y**2 + p*y**4 + b + 6/11*y**3 - 2/11*y**5 - 8/11*y = 0?
-1, 0, 2
Let a(c) be the third derivative of c**7/70 + 33*c**6/40 + 93*c**5/20 + 91*c**4/8 + 15*c**3 - 189*c**2. Factor a(d).
3*(d + 1)**3*(d + 30)
Let s be 130/52*(1 - -1). Suppose 2*n = 5*r - 6, 4*r = n - s*n - 12. Let 4*k**3 + r*k + 1/2*k**2 + 0 + 8*k**4 = 0. What is k?
-1/4, 0
Let w(i) = -i**5 - 2*i**4 + i**2. Let a(j) = -10*j**5 - 18*j**4 + 8*j**3 + 15*j**2 - 7*j - 6. Let b(y) = 2*a(y) - 18*w(y). Find n, given that b(n) = 0.
-2, -1, 1, 3
Determine r, given that -3/2*r**4 + 3/4*r + 0 - 3/4*r**5 + 3/2*r**2 + 0*r**3 = 0.
-1, 0, 1
Let y(m) be the second derivative of 0 - 1/9*m**2 + 5/54*m**3 - 13*m - 1/36*m**4. Factor y(k).
-(k - 1)*(3*k - 2)/9
Let h be -2*18/(-60)*(-2)/(-3). Determine j, given that 2/5*j**4 + 2/5*j - 4/5*j**3 + h*j**5 + 2/5 - 4/5*j**2 = 0.
-1, 1
Let a = -14 + 55/4. Let h = a + 3/4. Factor -1 + h*b**2 - 1/2*b.
(b - 2)*(b + 1)/2
Solve j**3 - 46 + 83 + 22*j**2 - 37 + 48*j + j**3 = 0 for j.
-8, -3, 0
Suppose -85*x + 68*x + 51 = 0. Determine b so that 2*b + 2/3*b**4 + 22/9*b**x + 4/9 + 10/3*b**2 = 0.
-1, -2/3
Factor 0*l + 12/7*l**2 + 15/7*l**4 + 3/7*l**5 + 24/7*l**3 + 0.
3*l**2*(l + 1)*(l + 2)**2/7
Suppose -n = -5*h - 9, -3*n + 2*h = -0*h - 14. Suppose 7 = 2*c - p, -5*p + 6 = -n*c + 23. Factor -6*z - 3*z**2 + 4*z**3 + 6 - z**c - 6.
3*z*(z - 2)*(z + 1)
Let m(r) be the third derivative of 9*r**7/280 + r**6/20 + r**5/40 + 11*r**3/6 + 7*r**2. Let n(h) be the first derivative of m(h). Factor n(g).
3*g*(3*g + 1)**2
Let g(r) = -r**3 + 2*r**2 + r + 4. Let d be g(0). Suppose s = -4*m + d, -m - 2*s + 0 - 6 = 0. Let 6*f + 0*f**m - 6*f + f**4 - f**2 = 0. What is f?
-1, 0, 1
Let l(u) = -4*u + 10. Let a be l(-5). Factor s + 0*s**3 + a - 32 + 2*s**2 - s**3.
-(s - 2)*(s - 1)*(s + 1)
Let y(n) be the third derivative of -n**5/105 - n**4/21 + 16*n**3/21 + 48*n**2. Solve y(l) = 0 for l.
-4, 2
Suppose -15 = -3*y, -6*a + 3*a - 4*y + 29 = 0. Find w such that 87*w**3 - 3*w - a*w**4 - 3*w**2 + 6*w**2 - 84*w**3 = 0.
-1, 0, 1
Factor -36*c**2 - 2/5*c**3 - 10800 - 1080*c.
-2*(c + 30)**3/5
Let m(j) = 7*j**2 + 136*j - 80. Let i be m(-20). Factor -1/12*a**5 + 0*a + 0*a**2 + 0*a**3 + i*a**4 + 0.
-a**5/12
Let w = -745/26 + 392/13. Find v such that 3/2*v**3 + w*v**2 + 0 - 3*v = 0.
-2, 0, 1
Find t, given that -20*t**2 + 17*t**5 - 3*t**3 - 8*t + 4*t**4 - t**3 - 8*t**3 - 13*t**5 = 0.
-1, 0, 2
Factor 0 - 231/2*t**3 - 147/4*t**4 + 477/4*t**2 - 27*t.
-3*t*(t + 4)*(7*t - 3)**2/4
Let m(o) = o**3 + 2*o**2 - 25*o - 2. Let b be m(-6). Suppose 6/11*z**3 + 0*z + 0 - 2/11*z**b - 6