11*j(o). Solve p(r) = 0 for r.
-3
Let q(u) be the second derivative of u**6/105 - 3*u**5/70 + u**4/14 - u**3/21 - 17*u. Suppose q(l) = 0. What is l?
0, 1
Let z(k) be the first derivative of 1/5*k**2 - 1/5*k**3 + 1/10*k**4 - 2*k - 1/50*k**5 + 1. Let g(f) be the first derivative of z(f). Factor g(t).
-2*(t - 1)**3/5
Determine i, given that -8*i**2 + 86 - 86 - 16*i**3 - i = 0.
-1/4, 0
Let s(w) be the third derivative of -8*w**7/21 - 7*w**6/3 - 73*w**5/12 - 35*w**4/4 - 15*w**3/2 + 3*w**2. Determine d so that s(d) = 0.
-1, -3/4
Let r(b) be the second derivative of -b**5/100 - b**4/30 - b**3/30 - 8*b. Solve r(i) = 0 for i.
-1, 0
Factor -2/11*l - 2/11*l**3 + 0 - 4/11*l**2.
-2*l*(l + 1)**2/11
Let z(i) be the first derivative of 2/3*i**3 + 6*i + 3 - 4*i**2. What is c in z(c) = 0?
1, 3
Factor -6*n**2 - 3*n**4 - 952*n + 15*n**2 + 946*n.
-3*n*(n - 1)**2*(n + 2)
Suppose 0 = -6*j - 0*j. Let n(v) be the third derivative of 0*v + 1/30*v**5 - 1/6*v**4 + j + 2*v**2 + 0*v**3. Suppose n(u) = 0. Calculate u.
0, 2
Let k(b) be the second derivative of 0*b**2 + 5*b + 1/10*b**6 + 5/4*b**4 + 0 + 3/5*b**5 + b**3. Factor k(l).
3*l*(l + 1)**2*(l + 2)
Let o = -63 + 67. Let k(i) be the second derivative of 1/12*i**3 + 0*i**2 - 1/48*i**o - 3*i + 0. Factor k(w).
-w*(w - 2)/4
Suppose -92*u**3 + 77*u**3 + 5*u**2 + 5*u**2 + 5*u**5 = 0. Calculate u.
-2, 0, 1
Factor -20*s**3 - 2*s**4 - 19*s**3 + 6*s**2 + 4*s**4 + 47*s**3.
2*s**2*(s + 1)*(s + 3)
Let c(s) be the second derivative of 1/10*s**6 + 0*s**2 + 1/2*s**3 - s + 9/20*s**5 + 3/4*s**4 + 0. Factor c(h).
3*h*(h + 1)**3
Find z such that 0 - 2*z**2 - 28/13*z**3 - 10/13*z**4 - 8/13*z = 0.
-1, -4/5, 0
Let m(u) be the second derivative of -u**5/100 + u**4/40 - u**2 - 8*u. Let k(z) be the first derivative of m(z). Let k(b) = 0. What is b?
0, 1
Let g be 14/6 - 4/12. Let a(b) be the third derivative of 0 + 0*b + 0*b**6 - 1/105*b**5 - 3*b**g - 1/1176*b**8 + 1/84*b**4 + 2/735*b**7 + 0*b**3. Factor a(q).
-2*q*(q - 1)**3*(q + 1)/7
Let w(m) be the second derivative of 0*m**3 + 1/25*m**6 + 7*m - 1/25*m**5 + 0 - 1/105*m**7 + 0*m**4 + 0*m**2. Factor w(q).
-2*q**3*(q - 2)*(q - 1)/5
Suppose -2*t + 23 = 5*r, 2*t - 4*r = -3*t + 107. Factor -4 - 5*a**2 + 13*a - t*a + 7*a**3 - 10*a.
(a - 2)*(a + 1)*(7*a + 2)
Suppose 3*z - 3 - 27 = 0. Find d such that z - 2 - 1 + 5 + 3*d**2 + 12*d = 0.
-2
Suppose 3*w + 2*w - 19 = -3*g, 12 = 4*w + 4*g. Suppose -2*o - 3*p + 27 = -0*p, -5*o - p + 35 = 0. Solve w*a**2 - a + 1 - o*a**2 + 0*a + a**3 = 0.
-1, 1
Suppose o - 5*b = 2*o + 61, b + 149 = -4*o. Let w be (4/o)/(1/(-3)). Suppose 0 + 0*x**2 - w*x**3 + 1/3*x = 0. Calculate x.
-1, 0, 1
What is j in -28 + 15 - 3*j + 17 - j**2 = 0?
-4, 1
Let q(z) be the first derivative of 2*z**6/15 + 4*z**5/5 + 5*z**4/3 + 4*z**3/3 - 3*z + 7. Let f(p) be the first derivative of q(p). Let f(l) = 0. What is l?
-2, -1, 0
Let f(i) be the third derivative of -i**5/3 + 3*i**4 + 16*i**3/3 - 2*i**2. Factor f(h).
-4*(h - 4)*(5*h + 2)
Let x(c) = c**2 - 1. Let f(j) = j**2 - j - 4. Let u(s) = -f(s) + 6*x(s). Let d(o) = -11*o**2 - o + 5. Let i(g) = -2*d(g) - 5*u(g). What is a in i(a) = 0?
-1, 0
Let s(o) be the second derivative of 3*o**7/70 + o**6/10 + 3*o**5/100 - o**4/20 + 4*o. Factor s(x).
3*x**2*(x + 1)**2*(3*x - 1)/5
Let b(k) be the third derivative of 0*k**5 + 0 + k**2 + 0*k + 0*k**4 + 1/140*k**7 + 0*k**3 - 1/80*k**6. Determine z so that b(z) = 0.
0, 1
Let n(f) = -f**2 + 7*f - 8. Let i be n(4). Let r be i + (540/16)/(-9). Let h**2 + 0 + r*h**3 + h = 0. Calculate h.
-2, 0
Let j(s) be the third derivative of -s**8/504 - s**7/105 - s**6/90 + s**5/45 + s**4/12 + s**3/9 + 5*s**2. Suppose j(i) = 0. What is i?
-1, 1
Let l = 89 + -89. Let t(z) be the first derivative of -1/9*z**6 + 1/6*z**4 - 3 + 0*z**5 + 0*z**3 + l*z**2 + 0*z. Factor t(f).
-2*f**3*(f - 1)*(f + 1)/3
Let l(z) = 39*z**5 + 6*z**4 - 158*z**3 - 10*z**2 + 41*z - 8. Let w(s) = s**5 + s**4 - s**3 - s. Let c(k) = -5*l(k) + 15*w(k). Suppose c(n) = 0. What is n?
-2, -2/3, 1/4, 1/3, 2
Factor 0*p + 0 + 2/7*p**2.
2*p**2/7
Let t(j) be the second derivative of 0 + 0*j**2 + 3/100*j**5 - 1/10*j**3 + 0*j**4 + j. Find k, given that t(k) = 0.
-1, 0, 1
Let x(n) be the second derivative of n**5/240 - n**4/16 + 3*n**3/8 + 3*n**2/2 + 2*n. Let o(h) be the first derivative of x(h). Let o(g) = 0. Calculate g.
3
Let d(b) = -b**2 - b. Let i(u) = -4*u**2 - 2. Let w(z) = -3*d(z) + i(z). Suppose w(y) = 0. What is y?
1, 2
Let y = 25/6 - 4. Let j(m) be the second derivative of -y*m**4 - 3*m - 1/40*m**5 - 5/12*m**3 - 1/2*m**2 + 0. Factor j(q).
-(q + 1)**2*(q + 2)/2
Let i(w) be the second derivative of w**5/70 - w**4/21 + w**3/21 - 10*w. Factor i(t).
2*t*(t - 1)**2/7
Let v = 592/2637 - 2/879. Factor 0 + 0*u**2 - v*u + 2/9*u**3.
2*u*(u - 1)*(u + 1)/9
Let p be 2/(-3 + (-14)/(-4)). Let 54*q**2 - 24*q**3 + 8 - q**3 - 44*q + 8*q**4 - p*q**4 = 0. What is q?
1/4, 2
Let i(f) = f**2 - 3*f - 2. Let b be i(-1). Suppose -b*g = -0*g. Let 0 - 2/5*c**5 + 0*c**2 + 2/5*c**3 + g*c**4 + 0*c = 0. What is c?
-1, 0, 1
Factor -8/3 - 16/3*a + 2/3*a**4 + 4/3*a**3 - 2*a**2.
2*(a - 2)*(a + 1)**2*(a + 2)/3
Suppose -5*r - 28 + 38 = 0. Let m(u) be the first derivative of -2/21*u**3 - 3 - 4/7*u + 3/7*u**r. Factor m(h).
-2*(h - 2)*(h - 1)/7
Let b(a) be the second derivative of -a**5/30 + a**4/6 - a**2 + a. Let p(q) be the first derivative of b(q). Determine n so that p(n) = 0.
0, 2
Let f(i) be the third derivative of -i**7/5040 - i**6/720 - i**5/240 - i**4/24 + 3*i**2. Let y(v) be the second derivative of f(v). Factor y(z).
-(z + 1)**2/2
Factor 3/4 - 7/8*c + 1/8*c**2.
(c - 6)*(c - 1)/8
Let -1/2 + 3/4*k**2 - 1/4*k = 0. What is k?
-2/3, 1
Factor 1 + 7*y - y**2 - 9*y - 2.
-(y + 1)**2
Factor 0*z - 8/5*z**4 + 0 - 26/5*z**3 - 6/5*z**2.
-2*z**2*(z + 3)*(4*z + 1)/5
Let z(n) = 4*n + n**2 - 4*n. Let k be 1/(-2 - (-2 + -1)). Let h(t) = -10*t**2 - 2. Let y(i) = k*h(i) + 12*z(i). Determine p so that y(p) = 0.
-1, 1
Let i = -62 + 65. Let o(t) be the second derivative of -i*t + 0*t**3 + 1/12*t**4 + 0 + 0*t**2. Factor o(n).
n**2
Determine z so that 1/9*z**3 + 0 + 0*z + 0*z**2 = 0.
0
Let k(i) be the third derivative of i**8/336 + i**7/21 + 3*i**6/10 + 14*i**5/15 + 4*i**4/3 - 2*i**2 - 43*i. Suppose k(l) = 0. What is l?
-4, -2, 0
Let i = -578/5 - -116. Suppose 0 = -0*o + o. Determine h, given that 0 + o*h - i*h**2 = 0.
0
Suppose -2*b = -6*n + n + 30, -5*n + 40 = -4*b. Let v = b - -8. Factor 0*r**v + r**3 - r**3 + r**3.
r**3
Suppose 6*j - 3 - 15/4*j**2 + 3/4*j**3 = 0. What is j?
1, 2
Suppose -5*p - 7 = -17. Factor 1/2 + 3*b**p + 9/4*b**3 - 11/4*b.
(b + 2)*(3*b - 1)**2/4
Let q be (0/(-8))/6*2/4. Factor -1/5*m**2 - 1/5*m**3 + q*m + 0.
-m**2*(m + 1)/5
Let n be (-15)/(-3)*(1 - 0). Let a(c) be the third derivative of 0 + 1/420*c**6 + 1/84*c**4 - 1/105*c**n + 0*c**3 + 0*c + c**2. Let a(t) = 0. Calculate t.
0, 1
Let s be 3/(-1) + ((-25)/(-15) - -2). Factor 5/3*i**3 + s*i - 7/3*i**2 + 0.
i*(i - 1)*(5*i - 2)/3
Suppose 3*m - i - 3 + 2 = 0, -3*i + 15 = 0. Solve -2/3 + m*b - 2*b**2 + 2/3*b**3 = 0.
1
Suppose 0*h = h. Let p(c) be the first derivative of h*c - 3/10*c**5 - 1/6*c**3 - 3/8*c**4 - 1/12*c**6 + 0*c**2 - 2. Solve p(d) = 0 for d.
-1, 0
Factor -106*w - 238*w**2 + 26*w**3 - 124*w**3 - 100*w - 50 + 16*w.
-2*(w + 1)*(7*w + 5)**2
Suppose -5*j - 31 = -1. Let c = -1 - j. Factor 3*u**4 - u + 0*u**5 - 3*u**2 - u**4 + u**2 + u**c.
u*(u - 1)*(u + 1)**3
Let f(y) = y**2 - 7*y + 3. Let l be f(7). Find d, given that 2*d - 5*d**3 + l*d**5 - d**5 + d**3 = 0.
-1, 0, 1
Let p(l) be the second derivative of l**5/6 - 5*l**4/36 + 32*l. Determine g, given that p(g) = 0.
0, 1/2
Let x(a) be the first derivative of -4*a**3/3 + 6*a**2 + 1. Let x(z) = 0. What is z?
0, 3
Let i(k) = k**2 - 4*k + 4. Let j be (4 - 1) + 1 + 0. Let o be i(j). Find l, given that l**3 - o*l**4 + 3*l**4 - l**5 - l**2 + 2*l**4 = 0.
-1, 0, 1
Suppose -2 = 3*z - 5. Factor -7/4*j**2 - z - 4*j.
-(j + 2)*(7*j + 2)/4
Let g = -2/241 - -251/1205. Solve g*z**2 + 1/5*z**3 - 1/5*z - 1/5 = 0.
-1, 1
Let z(j) be the second derivative of -j**5/150 + j**4/90 + 2*j**3/45 + 26*j. Find c such that z(c) = 0.
-1, 0, 2
Let b(f) be the second derivative of -f**5/10 + f**4/3 + f**3/3 - 2*f**2 - 7*f. Determine r so that b(r) = 0.
-1, 1, 2
Let m(q) be the first derivative of 4/3*q**2 + 84/5*q**5 + 49/9*q**6 