) = -z**2 + 2*z + 3. Let g be 7/((-1)/(-2)*-2). Let m(b) = -2*b**2 + 3*b + 5. Let k(c) = g*n(c) + 4*m(c). Let k(h) = 0. What is h?
-1
Let t be (0/1)/((10 + 26)/9). Factor -2/7*b + t - 2/7*b**2.
-2*b*(b + 1)/7
Let r = 30 + -27. Let z(j) be the third derivative of 0 - 3/70*j**7 + 1/6*j**4 - 1/40*j**6 + 0*j + 0*j**r - 2*j**2 + 2/15*j**5. What is w in z(w) = 0?
-2/3, 0, 1
Let s(i) be the first derivative of -i**3/21 - i**2/7 - 16. Suppose s(l) = 0. Calculate l.
-2, 0
Let g(d) be the second derivative of -1/120*d**5 - 1/36*d**3 - 1/36*d**4 + 4*d + 0 + 0*d**2. Factor g(f).
-f*(f + 1)**2/6
Find x such that -2/5*x + 4/5 - 8/5*x**2 + 4/5*x**4 - 2/5*x**5 + 4/5*x**3 = 0.
-1, 1, 2
Let t be (-1 + -1)/(3 + -2). Let y be 1*(t/(-3))/2. Suppose 2/3*n**3 - y*n**5 + 0 + 0*n**4 - 1/3*n + 0*n**2 = 0. Calculate n.
-1, 0, 1
Suppose -5*v - 37 - 3 = 0. Let k be (-2 - v) + (-8)/2. Find j such that 16/11*j**3 + 12/11*j - 24/11*j**k - 2/11 = 0.
1/2
Let f(o) be the third derivative of -o**6/80 - o**5/120 + o**4/4 + o**3/3 - 15*o**2. What is q in f(q) = 0?
-2, -1/3, 2
Let t(m) be the first derivative of -m**6/60 + m**5/40 - 4*m - 5. Let k(d) be the first derivative of t(d). Factor k(h).
-h**3*(h - 1)/2
Let u(f) be the second derivative of f**6/10 - 9*f**5/20 + f**4/2 - f + 2. Solve u(b) = 0.
0, 1, 2
Let g(i) be the third derivative of 2*i**7/315 + i**6/45 - i**5/45 - i**4/9 - 20*i**2. Find r, given that g(r) = 0.
-2, -1, 0, 1
Suppose 3*q + 4*u = 1, -5*q - 32 = -5*u - 92. Factor q - 14 + 0 + 4 + 9*o**2 - 6*o.
3*(o - 1)*(3*o + 1)
Suppose 3*z - 4 = 5. Suppose -4*t = 2*s - 26, 0*t + s - 9 = -t. Factor -2*g**5 + 4*g**2 + 2*g**t + 2*g**4 - z*g**4 + 2*g - 5*g**4.
-2*g*(g - 1)*(g + 1)**3
Let w(u) be the third derivative of -1/12*u**3 + 0*u + 0 + 1/40*u**5 + 1/120*u**6 + 0*u**4 + 2*u**2. Factor w(b).
(b + 1)**2*(2*b - 1)/2
Let c(v) be the first derivative of -18*v**5 + 2 - 2*v**2 + 6*v**4 + 14/3*v**3 + 0*v. Determine n so that c(n) = 0.
-2/5, 0, 1/3
Let q(w) be the second derivative of w**7/147 - 3*w**5/70 - w**4/21 - 9*w + 2. Determine g so that q(g) = 0.
-1, 0, 2
Let u(n) be the third derivative of 2*n**2 + 0*n + 1/168*n**8 + 0 + 0*n**3 + 0*n**4 - 1/60*n**6 + 1/315*n**7 - 1/90*n**5. Find c such that u(c) = 0.
-1, -1/3, 0, 1
Let j = -36 + 38. Let i be (8/5 - j)*-2. Factor 2/5*s + 2/5*s**3 - i*s**2 + 0.
2*s*(s - 1)**2/5
Let v be 1 + 8/(5 - 3). Determine w so that 3*w**2 + 10*w - v*w + 0 - 2 = 0.
-2, 1/3
Let f(g) = 3*g**4 + 5*g**3 - 9*g**2 + 3*g - 2. Let a(r) = 2*r**4 + 5*r**3 - 9*r**2 + 4*r - 2. Let i(m) = 4*a(m) - 3*f(m). Find o such that i(o) = 0.
1, 2
Suppose -16*p = -12*p - 12. Let z = 4 + -4. Let -1/4*l**2 + 1/4*l - 1/2*l**p + z = 0. Calculate l.
-1, 0, 1/2
Let v(z) = -z**3 - 4*z**2 - 2*z - 6. Let w be v(-4). Find u such that -2*u**w + 7 + 0*u**2 - 5 = 0.
-1, 1
Let o(p) = -5*p**4 - 2*p**2 + 4*p + 3. Let i = -2 + -1. Let m(g) = -4*g**4 - g**2 + 3*g + 2. Let t(b) = i*o(b) + 4*m(b). Determine c so that t(c) = 0.
-1, 1
Suppose k - 4*k + 27 = 0. Let -8 + d - 6*d**2 + 4*d**2 - k*d = 0. Calculate d.
-2
Suppose 4*j + 2 = 3*p - 4*p, 2*p = 5*j + 22. Solve 12*n**3 - p*n**5 - 12*n**3 - 2*n**4 = 0 for n.
-1/3, 0
Suppose 3 = x - 1. Suppose l + l = x. Let 18/7*m**3 - 18/7*m + 10/7*m**l - 2*m**4 + 4/7 = 0. Calculate m.
-1, 2/7, 1
Let h = -57 + 59. Let i = -7/20 + 3/4. Determine s so that -i*s**h + 0 + 2/5*s = 0.
0, 1
Let c(m) be the first derivative of -2*m + 1/75*m**6 + 0*m**3 + 1/25*m**5 + 0*m**2 + 1/30*m**4 + 1. Let i(n) be the first derivative of c(n). Factor i(b).
2*b**2*(b + 1)**2/5
Let t(x) be the third derivative of x**5/15 - x**4/6 - 2*x**2. Let t(j) = 0. Calculate j.
0, 1
Let x(u) be the second derivative of 1/90*u**6 - 1/36*u**4 + 1/18*u**3 + 0*u**2 - 1/60*u**5 + 0 + 4*u. What is b in x(b) = 0?
-1, 0, 1
Let a(w) = w - 1. Let v(c) = 12*c - 7. Let k(f) = 6*a(f) - v(f). Let q be k(-1). Let -87*p**2 - 9 + 72*p - 50*p**3 + 27*p**2 - q = 0. Calculate p.
-2, 2/5
Let v(u) = -u**2 + 4*u + 4. Let s(w) = -w**2 - w - 1. Let x(z) = -4*s(z) - v(z). Determine h, given that x(h) = 0.
0
Let s be 1/(-2) + (-68)/8. Let l = -5 - s. Factor -35*a**5 - 56*a**2 - 11*a**5 - 138*a**3 - 4*a**5 - 140*a**l - 8*a.
-2*a*(a + 1)**2*(5*a + 2)**2
Solve -15/4*h**2 + 135/4 + 45/4*h - 5/4*h**3 = 0 for h.
-3, 3
Suppose -2*m = 5*w + 11, -2*m - 5*w = -3*m + 17. Suppose 6*g**3 - 2*g - 2*g**3 + 5*g**m + 3*g = 0. What is g?
-1, -1/4, 0
Let z = 61/41 - -1/82. Let m be 4/(-24) - 4/(-6). Factor z*s**4 + 3/2*s - s**3 - m*s**5 - s**2 - 1/2.
-(s - 1)**4*(s + 1)/2
Suppose 0 = -2*w + 3*w - 2. Find v, given that 5*v**2 - 2*v**w + 4*v**3 + 3*v**4 + v**3 - v**2 = 0.
-1, -2/3, 0
Let n(f) be the second derivative of -15*f**6/8 - 3*f**5/8 + 59*f**4/48 + f**3/6 - f**2/2 + 3*f. Factor n(l).
-(3*l - 1)**2*(5*l + 2)**2/4
Let v(w) be the first derivative of w**4/7 + 8*w**3/21 - 2*w**2/7 - 8*w/7 - 15. Solve v(k) = 0 for k.
-2, -1, 1
Let h(k) be the second derivative of -3*k**5/20 - k**4/2 + k**3/2 + 3*k**2 + 10*k. Factor h(n).
-3*(n - 1)*(n + 1)*(n + 2)
Suppose -2*p + 5*p - 9 = 0. Factor -11 + 0*f**3 - 6*f**2 + 9 - 2*f**p - 6*f.
-2*(f + 1)**3
Suppose 3/4*d + 1/4*d**2 + 1/2 = 0. Calculate d.
-2, -1
Suppose 8*j = 21 - 5. Factor 4/3*b + 2/3*b**4 + 20/9*b**3 + 2/9 + 8/3*b**j.
2*(b + 1)**3*(3*b + 1)/9
Let k(j) be the second derivative of -j**7/140 - j**6/80 + j**5/40 + j**4/16 - j**2/2 + j. Let c(b) be the first derivative of k(b). Factor c(u).
-3*u*(u - 1)*(u + 1)**2/2
Let q be (12/9)/(4/6). Factor -2*i - 4 - i**4 + 2*i**3 - 2*i**2 + 6*i**2 - i**4 + q*i**2.
-2*(i - 2)*(i - 1)*(i + 1)**2
Let i = -11 - -8. Let w(l) = 2*l + 2*l**2 + 0*l + 2 + 0*l**2. Let b(o) = 2*o**2 + o + 2. Let t(f) = i*w(f) + 2*b(f). Factor t(m).
-2*(m + 1)**2
Let x(z) be the second derivative of -z**6/15 - z**5/5 - z**4/6 - 5*z. Let x(t) = 0. What is t?
-1, 0
Let n = 139/35 + -25/7. Suppose 0 = 2*f + 5*l + 6, 0*f + 2*l = -2*f. Factor n - 8/5*z**f + z**3 + 1/5*z.
(z - 1)**2*(5*z + 2)/5
Let c(a) = -a**3 - 4*a**2 - 3*a - 1. Let f be c(-2). Let y be f/((-225)/10)*5. Solve 0*k**2 + 7/3*k**4 + 0*k + 0 - y*k**3 = 0 for k.
0, 2/7
Let d(r) be the first derivative of -r**6/360 + r**5/30 - r**4/6 + 7*r**3/3 - 4. Let q(a) be the third derivative of d(a). Factor q(v).
-(v - 2)**2
Suppose -7 - g - 3*g**2 + 5 - 3*g**3 + 5 + 4*g = 0. Calculate g.
-1, 1
Let b(h) be the first derivative of 0*h + 1 + 5/4*h**4 - 3/2*h**2 + 2/3*h**3. Factor b(o).
o*(o + 1)*(5*o - 3)
Let j(x) be the third derivative of 0*x + 3*x**2 + 1/24*x**4 + 1/40*x**5 - 1/672*x**8 - 1/240*x**6 + 0 + 0*x**3 - 1/140*x**7. Find f such that j(f) = 0.
-2, -1, 0, 1
Factor 8*g - 2 - 25/2*g**2 - 7/2*g**4 + 1/2*g**5 + 19/2*g**3.
(g - 2)**2*(g - 1)**3/2
Suppose 0 = 3*s - 2*m + 6, 4*s - 2 + 10 = 5*m. Let g(j) = -j. Let n(k) = 49*k**3 + 28*k**2 + 2*k. Let h(w) = s*g(w) + n(w). Factor h(q).
q*(7*q + 2)**2
Let m = -184 - -184. Let 3*t**2 + 6/5*t + 12/5*t**3 + 3/5*t**4 + m = 0. What is t?
-2, -1, 0
Let j(w) = 2*w**2 - 28*w + 110. Let n(k) = 2. Let b(z) = -2*j(z) + 12*n(z). Let b(u) = 0. What is u?
7
Let k be 3/(8/(-14) - -1). Let z = k - 5. Factor 0*a + 0 + 0*a**z + 3/2*a**4 - a**5 - 1/2*a**3.
-a**3*(a - 1)*(2*a - 1)/2
Solve -36*h**5 - 20*h**5 + 40*h**5 - 28*h**4 + 8*h**3 = 0 for h.
-2, 0, 1/4
Let b(z) be the third derivative of 0 + 0*z + 3/8*z**4 - 1/3*z**3 + 7*z**2 - 1/15*z**5. Factor b(n).
-(n - 2)*(4*n - 1)
Let x(v) = v**2 + 6*v - 9. Let o be x(-7). Let j be (o/(-35))/((-4)/(-40)). Factor j*u**3 + 2/7 - 2/7*u**4 + 0*u**2 - 4/7*u.
-2*(u - 1)**3*(u + 1)/7
Let -2/13 - 20/13*x - 50/13*x**2 = 0. Calculate x.
-1/5
Let v(h) be the first derivative of -32/7*h**2 - 7/2*h**4 - 4 + 8/7*h + 22/3*h**3. Suppose v(j) = 0. What is j?
2/7, 1
Let y be 1366/(-126) + 4/12. Let h = -72/7 - y. Factor 0*o - 2/3*o**3 - h*o**4 - 4/9*o**2 + 0.
-2*o**2*(o + 1)*(o + 2)/9
Let n(l) be the first derivative of l**5/20 + l**4/12 + 4*l - 5. Let s(t) be the first derivative of n(t). Solve s(k) = 0 for k.
-1, 0
Determine l, given that 4/3*l + 2 + 2/9*l**2 = 0.
-3
Let p(n) = -2*n + 12. Let f be p(6). Determine z, given that f - 1/3*z**2 - 2/3*z**5 + z**4 + 0*z**3 + 0*z = 0.
-1/2, 0, 1
Factor -2/3*u**2 + 0 - 4/3*u.
-2*u*(u + 2)/3
Let d(x) = x**3 - 1. Let g(s) = 3*s**4 - 3*s**3 + 3*s**2 - 3. Let n(v) = -3*d(v) + g(v). Find b such that n(b) = 0.
0, 1
Suppose -46 = -6*t - 22.