- 36*l = 0.
-2/7, 2
Suppose 3*q + 0*q - 21 = 4*a, 5*q + 3*a - 6 = 0. Determine s so that -1166 - 6*s**q - 6*s**2 + 1166 - 2*s**4 - 2*s = 0.
-1, 0
Suppose -13 = 17*u - 64. Suppose -u*q + 0*q + 3*q**3 + 0*q - q - 4*q**2 = 0. Calculate q.
-2/3, 0, 2
Let t = -4001 - -24011/6. Factor 0 + 0*i**2 - t*i**3 + 5/6*i.
-5*i*(i - 1)*(i + 1)/6
Let m(n) be the third derivative of -1/60*n**6 + 0*n + 1/30*n**5 + 7*n**2 - 1/3*n**3 + 0 + 1/12*n**4. Factor m(d).
-2*(d - 1)**2*(d + 1)
Let v(z) be the third derivative of -z**5/240 + 9*z**4/32 - z**2 - 22*z. What is o in v(o) = 0?
0, 27
Let r(w) be the first derivative of 4*w**5/5 + 18*w**4 + 64*w**3 + 92*w**2 + 60*w + 29. Factor r(i).
4*(i + 1)**3*(i + 15)
Let i(j) = j**3 + 8*j**2 + 7*j - 5. Let q be i(-6). Solve 9*k**2 + 6*k**3 - q*k + 4*k**3 - 14*k**2 - 10 = 0.
-1, -1/2, 2
Factor 9/8*k**3 + 51/8*k**2 + 12*k + 15/2.
3*(k + 2)**2*(3*k + 5)/8
Suppose 3*z**4 + 6820*z**3 + 6 - 21*z - 6835*z**3 - z**2 + 28*z**2 = 0. Calculate z.
1, 2
Factor 16*y**3 - 33*y**2 - 3*y**2 - 20*y + 15*y**2 + 4*y - 39*y**2.
4*y*(y - 4)*(4*y + 1)
Suppose -4*o - 1 = 5*c, c - 3*c - 4*o = 10. Suppose -26*z**4 - 3 + 9*z**2 - c*z**3 + 32*z**4 - 3*z + 7*z**3 + 11*z**3 = 0. Calculate z.
-1, 1/2
Let i(m) = m - 1. Let j(s) = -33*s**2 + 39*s + 15. Let u(v) = 15*i(v) + j(v). Solve u(z) = 0.
0, 18/11
Suppose 0 = -2*q + 4*o - 12, 62*o - 70*o + 24 = -5*q. Suppose 3/10*m**2 + q - 1/5*m - 1/10*m**3 = 0. What is m?
0, 1, 2
Let l(g) be the third derivative of g**7/735 - g**6/70 + g**5/42 - 3*g**2 - 31. Factor l(i).
2*i**2*(i - 5)*(i - 1)/7
Let x be (2 + -1)/((-5)/(-1)). Suppose 3*p + 2*p - 18 = -f, -9 = -4*f + p. Factor 1/5*q**2 - 1/5*q + 1/5*q**f - x.
(q - 1)*(q + 1)**2/5
Suppose -4/3*l**4 + 0*l + 29/9*l**3 - 2*l**2 + 1/9*l**5 + 0 = 0. What is l?
0, 1, 2, 9
Let p(a) be the third derivative of -a**7/945 + a**6/540 + 7*a**5/270 - a**4/108 - 2*a**3/9 + 180*a**2. Suppose p(z) = 0. What is z?
-2, -1, 1, 3
Let h be (((-39)/648)/13)/((-1)/2). Let q(c) be the third derivative of 1/90*c**5 - 1/9*c**3 + 3*c**2 - h*c**4 + 0 + 0*c + 1/540*c**6. Solve q(g) = 0.
-3, -1, 1
Let c = 7009/12991 - -7/1181. Factor -6/11*o - c*o**2 + 0.
-6*o*(o + 1)/11
Let c(k) = -11*k**3 + 21*k**2 - 53*k + 43. Let h(w) = -5*w**3 + 11*w**2 - 27*w + 21. Let t(o) = 6*c(o) - 14*h(o). Factor t(p).
4*(p - 3)**2*(p - 1)
Let z(r) = 106*r + 214. Let i be z(-2). Factor 0 - 2/5*f**4 + 0*f - 6/5*f**3 - 4/5*f**i.
-2*f**2*(f + 1)*(f + 2)/5
Determine g so that 134/9 - 44/3*g - 2/9*g**2 = 0.
-67, 1
Let h be (0 + 0)*69/(-207). Let a(l) be the second derivative of -1/50*l**5 + h - 4*l + 0*l**2 + 2/15*l**4 - 4/15*l**3. Let a(i) = 0. What is i?
0, 2
Suppose 3*t = 4*l - 32, -4*l - 7*l = 4*t + 10. Let 1/4*r**4 - 15/4*r**l - 23/4*r - 1/4*r**3 - 5/2 = 0. Calculate r.
-2, -1, 5
Suppose 3*m = 396 + 246. Factor 0*f + 8*f + 215*f**2 - m*f**2.
f*(f + 8)
Let r = -13481 - -94369/7. Solve -2/7*b**4 - r - 12/7*b**2 - 8/7*b**3 - 8/7*b = 0.
-1
Let r(l) be the first derivative of l**4/28 + 2*l**3/21 + l**2/14 + 280. Factor r(b).
b*(b + 1)**2/7
Find q, given that 40*q**3 - 898*q**2 + q**4 + 31*q + 961*q**2 - 7*q**3 = 0.
-31, -1, 0
Let y(c) = -5*c + 133. Let w be y(26). Suppose -4*o = -w*o. Factor 5/2*t**3 + o - 5*t - 5/2*t**2.
5*t*(t - 2)*(t + 1)/2
Let s(p) be the first derivative of 0*p**2 - 2/9*p**4 - 2/27*p**3 + 0*p - 1. Suppose s(l) = 0. What is l?
-1/4, 0
Let y be (-98)/260 - 24/(-60). Let t = 231/130 + y. Find m such that 16/5*m + 4/5 - 7/5*m**3 - 21/5*m**4 - t*m**5 + 17/5*m**2 = 0.
-1, -2/3, 1
Let k be 13 + (-299)/26 - 14/(-4). Let b(f) be the third derivative of 1/32*f**4 - f**2 + 1/240*f**k + 0*f + 1/12*f**3 + 0. Factor b(q).
(q + 1)*(q + 2)/4
Let v be 32/80*(-1 + 20). Find i such that 14/5*i**2 - 12/5 - v*i = 0.
-2/7, 3
Let s(l) be the first derivative of l**3/7 + 108*l**2/7 + 213*l/7 + 318. Let s(m) = 0. Calculate m.
-71, -1
Let m = -7933 + 55533/7. Let -48/7*c + 288/7 + m*c**2 = 0. Calculate c.
12
Let x(z) be the second derivative of z**6/60 + z**5/20 - z**4/8 - z**3/3 + z**2 + 2*z - 52. Factor x(q).
(q - 1)**2*(q + 2)**2/2
Let m(v) = 3*v**2 - v - 1. Let r be m(-1). Solve -3*k**3 + 26*k**3 - 13*k**3 + 2*k**4 - 2*k**r + 8*k**2 = 0 for k.
-2, 0
Let c = -4350 - -8703/2. Factor 1/2*j**4 - c*j**3 - 5/2*j**2 + 3/2*j + 2.
(j - 4)*(j - 1)*(j + 1)**2/2
Let d(y) be the second derivative of y**7/126 + y**6/15 - 2*y**5/15 - y**4/6 + 7*y**3/18 + 299*y. Factor d(b).
b*(b - 1)**2*(b + 1)*(b + 7)/3
Let u be 46/14 - 28/98. Let -29*o**2 - 24*o + 21 + 12 + u + 33*o**2 = 0. Calculate o.
3
Let o(s) be the second derivative of 2*s**7/21 + 8*s**6/15 + s**5 + 2*s**4/3 - s + 42. Find c such that o(c) = 0.
-2, -1, 0
Let m be (-43)/(-7) - (17 + -7 + 0 + -5). Factor -m*t + 0 - 2/7*t**2.
-2*t*(t + 4)/7
Let y be 9*(-4 + (-10)/(-3)) - 37/(-6). Factor -15*p**2 - 11/6*p**4 - 23/3*p**3 - y*p**5 - 9/2 - 27/2*p.
-(p + 1)**2*(p + 3)**3/6
Let b be (-10)/6 - (-14)/((-1134)/(-297)). Factor 2/7*p**b + 0 - 16/7*p.
2*p*(p - 8)/7
Let k = -377/56 + 55/7. Suppose -1/8*z + 0 + 1/2*z**4 - k*z**3 + 3/4*z**2 = 0. Calculate z.
0, 1/4, 1
Suppose 2*d - 3*b = -7, d = -10*b + 15*b - 21. Let a(g) be the third derivative of 0*g + 6*g**2 - 5/12*g**d - 1/60*g**6 + 0 + 2/15*g**5 + 2/3*g**3. Factor a(u).
-2*(u - 2)*(u - 1)**2
Let k(t) = -t**3 + 5*t + 4. Let n be k(-3). Suppose 12*y - 32*y**2 + 16 + n*y**2 + 19*y**2 - 4 = 0. Calculate y.
-2
Suppose -14*j + 19*j = 5. Let m(s) be the second derivative of s**4/6 - s**2/2 + 2*s. Let n(i) = i**2 - i + 1. Let p(t) = j*m(t) - n(t). Factor p(u).
(u - 1)*(u + 2)
Let i(t) be the third derivative of -t**7/2100 - t**6/180 - t**5/75 - 11*t**3/6 - 9*t**2. Let h(g) be the first derivative of i(g). What is j in h(j) = 0?
-4, -1, 0
Find t, given that -3/2*t**4 + 0 - 1/2*t**3 + 0*t + 1/2*t**5 + 3/2*t**2 = 0.
-1, 0, 1, 3
Let t(r) be the first derivative of r**6/3 - 2*r**5 - 3*r**4/2 + 34*r**3/3 - 10*r**2 + 96. Determine k so that t(k) = 0.
-2, 0, 1, 5
Let a(q) be the second derivative of -q**6/75 - 19*q**5/150 - 11*q**4/30 - q**3/5 - 166*q - 1. Solve a(n) = 0.
-3, -1/3, 0
Let g(k) = k**2 - k. Let j(t) = 95*t + t**3 - 2*t**3 + 4*t**2 - 96*t. Let p(z) = -3*g(z) + j(z). Factor p(x).
-x*(x - 2)*(x + 1)
Let z be -4*(-12)/64 - 42/504. Factor -z + 4/3*g**2 + 2/3*g.
2*(g + 1)*(2*g - 1)/3
Let m = -15 + 15. Let h be (2 - m)*(-6 - -7). Factor k**h + 0 + 6 - 10.
(k - 2)*(k + 2)
Suppose 4*t + 2*j = 86 - 80, 0 = -2*t - 5*j - 1. Factor 8/3*i - 1/3*i**t - 16/3.
-(i - 4)**2/3
Let y(l) = -231*l**2 - 232*l**2 - l**3 + 467*l**2. Let n be y(4). Find j such that -1/6*j**4 + n*j**3 + 0*j - 1/6 + 1/3*j**2 = 0.
-1, 1
Let z(o) = -o**3 + 14*o**2 - 25*o + 27. Let r be z(12). Let w be (63/r)/((-2)/(-5)). Find j such that -9/2*j - 9/2*j**4 - 1/2*j**2 - 1 + w*j**3 = 0.
-1/3, 1, 2
Let u = -1307 + 1990. Determine n, given that 420*n**2 + u*n**3 - 77*n**4 + 20*n - 479*n**4 + 1502*n**3 - 2205*n**5 + 136*n**4 = 0.
-1, -2/21, 0, 1
Suppose 2*g - i + 2 = -3*i, -3*i = g - 1. Let y be g/(((-7)/(-2))/(-7)). Factor 0*l**2 + 0 + 0*l**3 + 1/2*l**y + 0*l.
l**4/2
Let w(o) = 9*o**4 + o**3 + o**2 + 9*o. Let v = 49 + -45. Let f(n) = 4*n**4 + 4*n. Let y(r) = v*w(r) - 10*f(r). Factor y(h).
-4*h*(h - 1)**2*(h + 1)
Factor -3/2*d**2 + 0 + 27/2*d.
-3*d*(d - 9)/2
Let d(m) be the first derivative of m**3/12 - m**2/8 - 18*m - 192. Factor d(l).
(l - 9)*(l + 8)/4
Let o be (35 + -21)*2/4. Suppose -8*c = o - 39. Solve 11/4*b + 9/4*b**c - 11/4*b**2 - 15/4*b**3 - 1/2 = 0.
-1, 1/3, 2
Let r be 3/15*20/(-10)*-5. Let z(x) be the first derivative of -x**2 - 3 - 2/3*x**3 + 1/2*x**4 + r*x. Factor z(y).
2*(y - 1)**2*(y + 1)
Suppose 3*h = 3, 0 = 4*l - 2*h - h - 17. Factor -4*x**5 + 3*x**5 - 4*x**3 + l*x**5 + 0*x**5.
4*x**3*(x - 1)*(x + 1)
Let k = 167 - 160. Suppose -5*n + k*n = -n. Determine z, given that n + 8/7*z**2 + 0*z + 6*z**4 - 40/7*z**3 = 0.
0, 2/7, 2/3
Let a(s) = -1. Let k be 1 - 0/(20/5). Let p(h) = 3*h**3 - 12*h**2 + 15*h - 2. Let j(d) = k*p(d) + 4*a(d). Factor j(u).
3*(u - 2)*(u - 1)**2
Suppose -y + 5*y - 71 = -3*q, -q = 3. Suppose 8*c = 13*c - y. Let r**5 - 2*r**2 - 1/2*r**3 + 1/4 - 1/2*r + 7/4*r**c = 0. Calculate r.
-1, 1/4, 1
Let c(h) be the first derivative of 3*h**4/8 - 11*h**3 - 14. What is v in c(v) = 0?
0, 22
Suppose 19*r - 44*r = -50. Factor 2/7*z**4 + 0 + 18/7*z**r - 12/7*z**3 - 8/7*z.
2*z*(z - 4