t.
(t + 1)**2
Suppose -10*o = -8*o. Solve -3/2*i**2 + 3/2*i**3 + o - 1/2*i**4 + 1/2*i = 0.
0, 1
Let k be 3 + (2 - (-3 + 19)). Let b = k + 15. Determine d, given that 0*d - 9/4*d**b + 3/4*d**5 + 3/2*d**3 + 0 + 0*d**2 = 0.
0, 1, 2
Let x = -3 - -9. Solve 21/2*f**3 - 3/2*f + 3*f**2 + x*f**4 + 0 = 0 for f.
-1, 0, 1/4
Let u(t) = -35*t**4 + 5*t**3 + 25*t**2 - 15*t + 15. Let a(y) = 9*y**4 - y**3 - 6*y**2 + 4*y - 4. Let w(h) = -15*a(h) - 4*u(h). Factor w(d).
5*d**2*(d - 2)*(d + 1)
Suppose 422 = -3*b + 437. What is j in 6/13*j**b + 0*j + 14/13*j**4 + 10/13*j**3 + 2/13*j**2 + 0 = 0?
-1, -1/3, 0
Let c(h) be the second derivative of -3*h + 0 + 0*h**3 + 1/6*h**4 + 0*h**2. Factor c(g).
2*g**2
Let b(z) be the first derivative of -z**4/14 - 8*z**3/21 - 3*z**2/7 + 2. Factor b(a).
-2*a*(a + 1)*(a + 3)/7
Let i(t) be the third derivative of 1/42*t**7 + 0 + 7/120*t**6 - 1/3*t**3 + 0*t - 2*t**2 - 1/20*t**5 - 7/24*t**4. Factor i(j).
(j - 1)*(j + 1)**2*(5*j + 2)
Let g(r) be the second derivative of 1/15*r**4 + 0 + r + 1/15*r**3 + 0*r**2 + 1/50*r**5. Factor g(v).
2*v*(v + 1)**2/5
Let p(c) be the second derivative of 1/54*c**4 + 2/27*c**3 + 0 - 4*c + 0*c**2. Determine w so that p(w) = 0.
-2, 0
Let s(p) be the first derivative of 1 + 1/2*p**2 - p - 3/4*p**3 + 7/24*p**4. Let b(z) be the first derivative of s(z). Suppose b(v) = 0. Calculate v.
2/7, 1
Let m(o) be the third derivative of -3*o**5/20 + o**4/8 + o**3 + 4*o**2. Factor m(i).
-3*(i - 1)*(3*i + 2)
Let c(v) be the third derivative of 0*v - 1/360*v**6 + 1/630*v**7 + 1/1008*v**8 + 0*v**3 - 1/180*v**5 + 0 + 0*v**4 + v**2. Factor c(n).
n**2*(n - 1)*(n + 1)**2/3
Let p be -4*1/8 - (1 - 2). Factor -3/2*v**2 - p + 3/2*v + 1/2*v**3.
(v - 1)**3/2
Let s(q) be the first derivative of -q**5/50 - 7*q**4/40 - 4*q**3/15 + 4*q**2/5 - 46. Solve s(p) = 0.
-4, 0, 1
Let w(q) = q**2 + 5*q - 3. Let f be w(-6). Factor -2*r**3 + 11*r - 8*r + 2 + r**f.
-(r - 2)*(r + 1)**2
Let o(d) be the first derivative of -d**4/20 - d**3/5 + d**2/10 + 3*d/5 + 2. Factor o(w).
-(w - 1)*(w + 1)*(w + 3)/5
Suppose 25 = 6*r - r. Suppose -9*j - 3 - 3*j**4 + 18*j**3 + j**2 + 5*j**r + 5*j**2 - 14*j**5 = 0. What is j?
-1, -1/3, 1
Suppose -4*s + 7*s - 6 = 0. Let b(k) be the first derivative of 7/12*k**3 - s - 1/2*k - 5/8*k**2. Suppose b(i) = 0. What is i?
-2/7, 1
Let j(u) be the first derivative of -u**3 - 3*u**2 - 3*u - 10. Solve j(c) = 0 for c.
-1
Let g be (4/10)/(8/400). Suppose -2*f = 4*b + g, -b = -3*f + 2*f + 5. Factor -1/3*h**3 + 0*h - h**4 + f + 2/3*h**2.
-h**2*(h + 1)*(3*h - 2)/3
Suppose -125/4 - 5/4*a**2 - 25/2*a = 0. What is a?
-5
Let s(k) be the first derivative of k**4/10 + 4*k**3/45 - 16. What is z in s(z) = 0?
-2/3, 0
Let d(f) be the third derivative of f**7/4200 - f**6/1800 - f**5/600 + f**4/120 + f**3/3 - 3*f**2. Let v(g) be the first derivative of d(g). Solve v(y) = 0.
-1, 1
Let m(n) be the third derivative of 0 + 0*n - 1/180*n**5 + 1/18*n**3 + 0*n**4 + 3*n**2. Solve m(o) = 0.
-1, 1
Let u(c) = -c**3 + 4*c**2 + 7*c - 8. Let b(t) = t**3 - 9*t**2 + 9*t - 3. Let y be b(8). Let w be u(y). Factor 18/7*k**w + 4/7 + 2*k + 2/7*k**4 + 10/7*k**3.
2*(k + 1)**3*(k + 2)/7
Let n be -3 - (-11 + 3) - 3. Let d be 3/2*(-6)/(-3). What is p in 0*p + 1/2*p**d + 0 + 0*p**n = 0?
0
Let b(o) = -4*o + 1. Let i be b(-1). Suppose 0 = 3*n - 3*c - 9, 4 = 2*n + 3*c - 2. Factor -13*a**2 - i*a**3 + 3*a**n - 6*a + 4*a**2 - 2*a**3 - 1.
-(a + 1)**2*(4*a + 1)
Let b be -4 + (-1)/(-1) - 18/(-5). What is i in 0*i**2 - b*i**4 + 0 + 3/5*i**3 + 0*i = 0?
0, 1
Let t(u) = -2*u**3 - 2*u + 2. Let g(l) = l**4 + l**3 - l**2 + l - 1. Let i(x) = -2*g(x) - t(x). Factor i(y).
-2*y**2*(y - 1)*(y + 1)
Factor -16*z + 61*z - 13*z**2 - 7*z**2 - 10.
-5*(z - 2)*(4*z - 1)
Suppose 5*i + 15 = 0, 2 = g - i - 1. Let j be 0*(3 + -4 - g). Determine a, given that -2/3*a**3 + 4/3*a**4 + 0*a**2 + j + 0*a - 2/3*a**5 = 0.
0, 1
Let h(j) be the third derivative of 0 + 3*j**2 + 1/330*j**5 + 0*j + 4/33*j**3 + 1/33*j**4. Find i, given that h(i) = 0.
-2
Let b(o) = o**2 - 1. Let d be b(2). Factor 2/5*q - 2/5 + 2/5*q**2 - 2/5*q**d.
-2*(q - 1)**2*(q + 1)/5
Let z = -1094/3 + 366. Factor 0 + 0*g - 4/3*g**3 + 1/3*g**4 + z*g**2.
g**2*(g - 2)**2/3
Let g = -25 + 35. Let z be 2/g + (-157)/(-15). Factor 8/3 - z*m + 14/3*m**3 + 10/3*m**2.
2*(m - 1)*(m + 2)*(7*m - 2)/3
Let r = -44611 + 224146/5. Let u = 219 - r. Factor -u*k**2 + 2/5*k**4 + 0*k + 0*k**3 + 2/5.
2*(k - 1)**2*(k + 1)**2/5
Let u(a) = -1. Let v(x) = 5*x**3 + 25*x**2 + 15*x - 47. Let l(s) = -2*u(s) + v(s). Let l(j) = 0. Calculate j.
-3, 1
Let d be (50/375)/(6/145) - 3. Factor 0 - 2/9*q + d*q**2.
2*q*(q - 1)/9
Let -1 + 12*b + 0 - 5 - 4*b**2 - 2 = 0. Calculate b.
1, 2
Let j(n) = -2*n**2 - 2. Let g(s) = 5*s**2 + 4. Let k(o) = 4*g(o) + 9*j(o). Factor k(u).
2*(u - 1)*(u + 1)
Let n(j) be the third derivative of -j**6/200 - j**5/100 - j**2. What is f in n(f) = 0?
-1, 0
Suppose t - 1 = 2. Let q be t/(-12)*(1 + -2). Find m such that 0 - q*m**3 + 1/2*m**2 - 1/4*m = 0.
0, 1
Suppose 9*v = 14*v - 10. Factor 0*k**2 + 3*k**2 - v*k**2 - 11 + 10.
(k - 1)*(k + 1)
Let t(z) be the third derivative of 0*z**4 - 1/245*z**7 + 0 + 1/140*z**6 + 0*z - 4*z**2 - 1/210*z**5 + 0*z**3 + 1/1176*z**8. Factor t(s).
2*s**2*(s - 1)**3/7
Let o(l) be the first derivative of -l**4/2 + l**3 - l + 10. Determine z, given that o(z) = 0.
-1/2, 1
Let r(l) be the second derivative of -l**6/1620 + l**5/540 - l**3/3 + 4*l. Let q(n) be the second derivative of r(n). Determine f, given that q(f) = 0.
0, 1
Let h(i) be the third derivative of -1/144*i**4 + 1/36*i**3 + 1/720*i**6 + 0 + 0*i - 6*i**2 - 1/360*i**5. Factor h(c).
(c - 1)**2*(c + 1)/6
Suppose -4*d - 15 = -4*b - 3*d, 3*b - 5 = 2*d. Let k(f) be the third derivative of 1/10*f**b + 0*f + 0 + 3*f**2 - 1/6*f**4 + 0*f**3 - 1/60*f**6. Factor k(h).
-2*h*(h - 2)*(h - 1)
Let j(y) be the third derivative of 1/40*y**6 + 0*y + 0*y**4 + 0 - 1/20*y**5 - 4*y**2 + 0*y**3. Factor j(t).
3*t**2*(t - 1)
Let k(j) be the second derivative of j**8/20160 + j**7/3780 + j**6/2160 - j**4/4 - 6*j. Let t(l) be the third derivative of k(l). Factor t(u).
u*(u + 1)**2/3
Let s be (3/2)/((-6)/8). Let g be (79/(-2))/(1/s). Factor -52*b**3 - 2*b**4 - g*b**4 + 160*b**3 + 16 - 48*b.
-(3*b - 2)**3*(3*b + 2)
Suppose -165 + 171 = 3*w. Factor 3/2*t**5 + 3*t**w + 9/2*t + 0*t**4 - 3 - 6*t**3.
3*(t - 1)**3*(t + 1)*(t + 2)/2
Let n(b) be the second derivative of b**7/63 - b**6/15 + b**5/10 - b**4/18 - b. Suppose n(k) = 0. Calculate k.
0, 1
Let t(u) be the first derivative of 3/14*u**4 + 5 - 2/7*u**2 - 2/21*u**3 + 0*u. Factor t(p).
2*p*(p - 1)*(3*p + 2)/7
Let d be (-7)/(-2) - (3 - 0). Let b(w) be the first derivative of -d*w**2 + 1 + 1/3*w**3 - w + 1/4*w**4. Solve b(i) = 0 for i.
-1, 1
Solve -1/10*r**3 - 4/5*r - 7/10*r**2 + 8/5 = 0.
-4, 1
Let d(j) be the second derivative of -j**7/135 - j**6/270 + 7*j**5/270 + j**4/54 + 3*j**2/2 - 4*j. Let g(t) be the first derivative of d(t). Solve g(r) = 0.
-1, -2/7, 0, 1
Let b(u) be the third derivative of u**7/420 + u**6/160 - u**5/60 - u**4/32 + u**3/12 + u**2. Solve b(i) = 0.
-2, -1, 1/2, 1
Let f be 38/(-10) - (-15)/((-45)/(-12)). Find i such that 1/5*i**2 - 1/5 - f*i**3 + 1/5*i = 0.
-1, 1
Let w(c) be the second derivative of -c**6/120 + c**5/20 - 5*c**4/48 + c**3/12 + 8*c. Suppose w(j) = 0. What is j?
0, 1, 2
Let p(a) be the first derivative of -4/5*a + 2*a**4 + 7 + 2*a**2 + 2/15*a**6 - 4/5*a**5 - 8/3*a**3. Factor p(x).
4*(x - 1)**5/5
Let r be (-3)/(2 + -5) + 4. Factor -m**4 - 5*m**5 + 6*m**r - m**4 + 2*m**2 - m.
m*(m - 1)**3*(m + 1)
Let l(y) = 15*y**2 - 41*y - 34. Let r(b) = 3*b**2 - 8*b - 7. Let m(c) = 2*l(c) - 11*r(c). Solve m(f) = 0 for f.
-1, 3
Suppose -3*h + 2*l + 20 = 4, -10 = 2*l. Let 1/4*w + 1/2 - 1/4*w**h = 0. Calculate w.
-1, 2
Let q(k) = -k**3 + 4*k**2 - k + 1. Let v be q(3). Let 37*i**2 + 4 + 14*i**3 + 29*i - 5*i**2 - v*i = 0. Calculate i.
-1, -2/7
Let g(b) = -b**3 + 2*b**2 - 4*b + 2. Let q be g(2). Let u = -3 - q. Find v, given that 4*v**4 - 4*v - 3 + 2*v + 2 - 6*v**2 + u + 2*v**3 = 0.
-1, 1/2, 1
Factor -2/7*c**4 - 32/7 + 16/7*c**2 + 0*c + 0*c**3.
-2*(c - 2)**2*(c + 2)**2/7
Let p(v) = 16*v**5 - 12*v**4 + 20*v**3 + 8*v**2 + 16. Let w(u) = -u**5 - u**3 - u - 1. Let z(j) = p(j) + 12*w(j). Factor z(l).
4*(l - 1)**4*(l + 1)
Let w(z) be the third derivative of z**7/280